Finite Group DatabasebetaFinite Group Databasebeta| order | 24448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#20259280 |
| Fitting | C4×C4⋊C4×C191 ⋊ C2 |
| Sylow | C191 ⋊ C4×#117 |
752 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12224 |
3880 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24448, 6850);