Polytopes
Nondegenerate
- {3,10}*720b
- {3,10,6}*720
- {3,30}*720
- {5,6,6}*720b
- {5,10,6}*720
- {6,6,5}*720b
- {6,10}*720b
- {6,10}*720c
- {6,10,3}*720
- {6,10,5}*720
- {6,15}*720c
- {6,15}*720d
- {6,30}*720a
- {6,30}*720b
- {10,3}*720b
- {10,6}*720b
- {10,6}*720c
- {10,15}*720
- {10,30}*720a
- {10,30}*720b
- {15,6}*720c
- {15,6}*720d
- {15,10}*720
- {30,3}*720
- {30,6}*720a
- {30,6}*720b
- {30,10}*720a
- {30,10}*720b
Degenerate
- {2,3,2,3,5}*720
- {2,3,2,5,3}*720
- {2,3,2,5,5}*720
- {2,3,5,2,3}*720
- {2,3,10}*720
- {2,3,15}*720
- {2,5,3,2,3}*720
- {2,5,5,2,3}*720
- {2,6,15}*720
- {2,10,3}*720
- {2,10,15}*720
- {2,15,3}*720
- {2,15,6}*720
- {2,15,10}*720
- {3,2,2,3,5}*720
- {3,2,2,5,3}*720
- {3,2,2,5,5}*720
- {3,2,3,5}*720
- {3,2,3,5,2}*720
- {3,2,3,10}*720a
- {3,2,3,10}*720b
- {3,2,5,3}*720
- {3,2,5,3,2}*720
- {3,2,5,5}*720
- {3,2,5,5,2}*720
- {3,2,5,6}*720b
- {3,2,5,6}*720c
- {3,2,5,10}*720a
- {3,2,5,10}*720b
- {3,2,6,5}*720b
- {3,2,6,5}*720c
- {3,2,10,3}*720a
- {3,2,10,3}*720b
- {3,2,10,5}*720a
- {3,2,10,5}*720b
- {3,5,2,2,3}*720
- {3,5,2,3}*720
- {3,5,2,3,2}*720
- {3,5,2,6}*720
- {3,10,2}*720
- {3,10,2,3}*720a
- {3,10,2,3}*720b
- {3,15,2}*720
- {5,3,2,2,3}*720
- {5,3,2,3}*720
- {5,3,2,3,2}*720
- {5,3,2,6}*720
- {5,5,2,2,3}*720
- {5,5,2,3}*720
- {5,5,2,3,2}*720
- {5,5,2,6}*720
- {5,6,2,3}*720b
- {5,6,2,3}*720c
- {5,10,2,3}*720a
- {5,10,2,3}*720b
- {6,2,3,5}*720
- {6,2,5,3}*720
- {6,2,5,5}*720
- {6,5,2,3}*720b
- {6,5,2,3}*720c
- {6,15,2}*720
- {10,3,2}*720
- {10,3,2,3}*720a
- {10,3,2,3}*720b
- {10,5,2,3}*720a
- {10,5,2,3}*720b
- {10,15,2}*720
- {15,3,2}*720
- {15,6,2}*720
- {15,10,2}*720
Other Groups of Order 720
- SmallGroup(720,69) — 1 nondegenerate, 0 degenerate
- SmallGroup(720,136) — 2 nondegenerate, 2 degenerate
- SmallGroup(720,137) — 2 nondegenerate, 2 degenerate
- SmallGroup(720,177) — 0 nondegenerate, 2 degenerate
- SmallGroup(720,179) — 2 nondegenerate, 2 degenerate
- SmallGroup(720,394) — 2 nondegenerate, 4 degenerate
- SmallGroup(720,397) — 6 nondegenerate, 4 degenerate
- SmallGroup(720,402) — 0 nondegenerate, 30 degenerate
- SmallGroup(720,407) — 0 nondegenerate, 7 degenerate
- SmallGroup(720,500) — 4 nondegenerate, 0 degenerate
- SmallGroup(720,502) — 2 nondegenerate, 0 degenerate
- SmallGroup(720,672) — 2 nondegenerate, 2 degenerate
- SmallGroup(720,673) — 4 nondegenerate, 2 degenerate
- SmallGroup(720,687) — 4 nondegenerate, 0 degenerate
- SmallGroup(720,763) — 11 nondegenerate, 0 degenerate
- SmallGroup(720,764) — 24 nondegenerate, 0 degenerate
- SmallGroup(720,767) — 29 nondegenerate, 16 degenerate
- SmallGroup(720,771) — 28 nondegenerate, 70 degenerate (this group)
- SmallGroup(720,784) — 6 nondegenerate, 6 degenerate
- SmallGroup(720,793) — 6 nondegenerate, 4 degenerate
- SmallGroup(720,794) — 4 nondegenerate, 6 degenerate
- SmallGroup(720,810) — 2 nondegenerate, 4 degenerate
- SmallGroup(720,813) — 7 nondegenerate, 55 degenerate
- SmallGroup(720,831) — 0 nondegenerate, 40 degenerate