Finite Group DatabasebetaFinite Group Databasebeta| order | 15728 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1966 |
| unambiguous semidirect product | (C2×C983)⋊Q8 |
| Sylow | C983 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15728 |
3938 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44537881, #44537886, #44537888, … |
| maximal normal subgroup of | #44537881, #44537886, #44537888, … |
| maximal quotient of | C2×Dic983⋊C4, C2×C4⋊Dic983, C4×Dic1966, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15728, 38);