Polytopes for Group SmallGroup(1000,105)

Polytopes

Nondegenerate

• {10,50}*1000a
• {10,50}*1000b
• {50,10}*1000a
• {50,10}*1000b

Degenerate

• {2,5,2,25}*1000
• {2,10,25}*1000
• {2,25,2,5}*1000
• {2,25,10}*1000
• {5,2,2,25}*1000
• {5,2,25,2}*1000
• {5,2,50}*1000
• {10,2,25}*1000
• {10,25,2}*1000
• {25,2,2,5}*1000
• {25,2,5,2}*1000
• {25,2,10}*1000
• {25,10,2}*1000
• {50,2,5}*1000

Other Groups of Order 1000

All groups of order 1000

• SmallGroup(1000,6) — 1 nondegenerate, 0 degenerate
• SmallGroup(1000,13) — 0 nondegenerate, 5 degenerate
• SmallGroup(1000,92) — 12 nondegenerate, 0 degenerate
• SmallGroup(1000,105) — 4 nondegenerate, 14 degenerate (this group)
• SmallGroup(1000,106) — 5 nondegenerate, 8 degenerate
• SmallGroup(1000,179) — 2 nondegenerate, 0 degenerate
• SmallGroup(1000,183) — 4 nondegenerate, 5 degenerate