Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D241 |
| Fitting | C22×Q8×C241 ⋊ C2 |
| Sylow | C241 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507367, #44507378, #391×D241, … |
| maximal normal subgroup of | #44507367, #44507378, #391×D241, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1372);