Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C23 |
| direct product | C2×D181⋊C32 |
| unambiguous semidirect product | D181⋊(C2×C32) |
| derived, Sylow | C181 ⋊ C22×C32 |
120 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, 20929);