Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #3091 |
420 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|c^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,f^c=fg,h^c=h^16262 conjugacy classes — view the full character table.
| maximal subgroup of | #16929438, #16929440, #17006481, … |
| maximal normal subgroup of | #16929438, #16929440, #17006481, … |
| maximal quotient of | #17034113, #17035049, #17035546, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14419);