Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C22×C8 |
| direct product | C8×D181⋊C8 |
| unambiguous semidirect product | D181⋊C82 |
| derived, Sylow | C181 ⋊ C2×C82 |
280 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11584 |
1568 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 19702);