Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D241 |
| Fitting | #108×C241 ⋊ C2 |
| Sylow | C241 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3856 |
1708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D241, #44509171, #361×D241, … |
| maximal normal subgroup of | #359×D241, #44509171, #361×D241, … |
| maximal quotient of | #334×D241, #335×D241, #44506190, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 593);