Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#21440631 |
| Fitting | C22×Q8×C241 ⋊ C2 |
| Sylow | C241 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507830, #44507846, #44507848, … |
| maximal normal subgroup of | #44507830, #44507846, #44507848, … |
| maximal quotient of | C2×#29507582, C2×#29507607, C2×#29507618, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1067);