Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #1746 |
240 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=f,c^2=d,e^2=g,b^a=bd,h^a=h^16,c^b=cg,h^b=h^16376 conjugacy classes — view the full character table.
| maximal subgroup of | #16924780, #16924785, #16925369, … |
| maximal normal subgroup of | #16924780, #16924785, #16925369, … |
| maximal quotient of | #16924749, #16924754, #16924757, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4263);