Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D241 |
| Fitting | #97×C241 ⋊ C2 |
| Sylow | C241 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D241, #330×D241, #44506030, … |
| maximal normal subgroup of | #329×D241, #330×D241, #44506030, … |
| maximal quotient of | #322×D241, #44505731, #44505733, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 496);