Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #1436 |
612 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=f,b^2=g,c^2=f,b^a=bd,c^a=ce,h^b=h^16376 conjugacy classes — view the full character table.
| maximal subgroup of | #16921354, #16921356, #16925840, … |
| maximal normal subgroup of | #16921354, #16921356, #16925840, … |
| maximal quotient of | #16922243, #16922248, #16922251, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2742);