Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#26041755 |
| Fitting | C2×C4×Q8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#519 |
1488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11584 |
3668 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 17699);