Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21440585 |
| Fitting | C2×Q16×C241 ⋊ C2 |
| Sylow | C241 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
1702 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44509294, C4×#21440585, #44509307, … |
| maximal normal subgroup of | #44509294, C4×#21440585, #44509307, … |
| maximal quotient of | C2×#29507517, C2×#29507521, C2×#29507544, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 972);