Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#21440567 |
| Sylow | C241 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
3868 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507264, C4×#21440567, #44507274, … |
| maximal normal subgroup of | #44507264, C4×#21440567, #44507274, … |
| maximal quotient of | C2×#29507449, #44505849, #44505875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 541);