Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#21439901 |
| Fitting | C2×D8×C239 ⋊ C2 |
| Sylow | C239 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
1688 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44486392, C4×#21439901, #44486421, … |
| maximal normal subgroup of | #44486392, C4×#21439901, #44486421, … |
| maximal quotient of | C2×#29504572, C2×#29504573, C2×#29504597, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 969);