Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#21440561 |
| Sylow | C241 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
2422 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505571, #44505572, C4×#21440561, … |
| maximal normal subgroup of | #44505571, #44505572, C4×#21440561, … |
| maximal quotient of | C2×#29507443, #44505769, #44505775, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 529);