Finite Group DatabasebetaFinite Group Databasebeta| order | 24224 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D4×#15690044 |
| Fitting | D4×C757 ⋊ C4 |
| Sylow | C757 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3028 |
965 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24224, 226);