Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1912 |
| Fitting | C4×C8×C239 ⋊ C2 |
| Sylow | C239 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
3836 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44482508, #44482510, #44482514, … |
| maximal normal subgroup of | #44482508, #44482510, #44482514, … |
| maximal quotient of | C8×D1912, #44483379, #44483434, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 633);