Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C17 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=f,c^2=e,f^2=g,b^a=be,h^a=h^13,h^d=h^16,h^f=h^16208 conjugacy classes — view the full character table.
| maximal subgroup of | #17950314, #17950316, #17950317, … |
| maximal normal subgroup of | #17950314, #17950316, #17950317, … |
| maximal quotient of | #17968239, C4×#11763777, C4×#11763810, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21174);