Finite Group DatabasebetaFinite Group Databasebeta| order | 15536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1942 |
| unambiguous semidirect product | (C2×C971)⋊Q8 |
| Sylow | C971 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15536 |
3890 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44527069, #44527074, #44527076, … |
| maximal normal subgroup of | #44527069, #44527074, #44527076, … |
| maximal quotient of | C2×Dic971⋊C4, C2×C4⋊Dic971, C4×Dic1942, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15536, 38);