Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#21440583 |
| Fitting | C2×D8×C241 ⋊ C2 |
| Sylow | C241 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
1702 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44509289, C4×#21440583, #44509318, … |
| maximal normal subgroup of | #44509289, C4×#21440583, #44509318, … |
| maximal quotient of | C2×#29507517, C2×#29507518, C2×#29507542, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 969);