Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic227 |
| Sylow | C227 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44401583, SD32×Dic227, #44401590, … |
| maximal normal subgroup of | #44401583, SD32×Dic227, #44401590, … |
| maximal quotient of | Q16×C227⋊C8, #44398585, #44398631, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 644);