Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#21440601 |
| Sylow | C241 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
3880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507141, #44507143, C2×#29507473, … |
| maximal normal subgroup of | #44507141, #44507143, C2×#29507473, … |
| maximal quotient of | C2×#29507563, C2×C4×C22⋊Dic241, C2×C4×C4⋊Dic241, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1005);