Finite Group DatabasebetaFinite Group Databasebeta| order | 23776 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×(C2×D743)⋊C4 |
| Fitting | C22×C4×C743 ⋊ C2 |
| Sylow | C743 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11888 |
5956 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23776, 97);