Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21439905 |
| Fitting | C2×C16×C239 ⋊ C2 |
| Sylow | C239 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
3830 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44486399, C4×#21439905, #44486411, … |
| maximal normal subgroup of | #44486399, C4×#21439905, #44486411, … |
| maximal quotient of | C2×#29504574, C2×#29504577, C2×#29504600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 974);