Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#21439948 |
| Fitting | C2×C42×C239 ⋊ C2 |
| Sylow | C239 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
3836 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44482899, #44482901, C2×#29504511, … |
| maximal normal subgroup of | #44482899, #44482901, C2×#29504511, … |
| maximal quotient of | C2×#29504638, C2×#29504663, C2×#29504674, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1066);