Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D241 |
| Fitting | #106×C241 ⋊ C2 |
| Sylow | C241 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
1708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D241, #365×D241 |
| maximal normal subgroup of | #360×D241, #365×D241 |
| maximal quotient of | #334×D241, #44506199, #44506214, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 578);