Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#26041118 |
| Fitting | C2×C32×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11584 |
5798 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 6812);