Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#14515349 |
| Sylow | C241 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44506237, D8×#14515349, SD16×#14515349, … |
| maximal normal subgroup of | #44506237, D8×#14515349, SD16×#14515349, … |
| maximal quotient of | D8×#14515349, SD16×#14515349, Q16×#14515349, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 615);