Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21440588 |
| Sylow | C241 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
1702 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44509301, C4×#21440588, #44509313, … |
| maximal normal subgroup of | #44509301, C4×#21440588, #44509313, … |
| maximal quotient of | C2×#29507520, C2×#29507521, C2×#29507542, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 976);