Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11762693 |
| Sylow | C17 ⋊ C2×#387 |
712 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16924843, #16924845, #16926999, … |
| maximal normal subgroup of | #16924843, #16924845, #16926999, … |
| maximal quotient of | C2×#14527011, C2×#14527017, C4×#11762693, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6934);