Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D964 |
| Fitting | C4×C8×C241 ⋊ C2 |
| Sylow | C241 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
3880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505399, #44505401, C8×#16838755, … |
| maximal normal subgroup of | #44505399, #44505401, C8×#16838755, … |
| maximal quotient of | C8×D1928, C8×#16838759, C8×Dic964, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 616);