Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic227 |
| Sylow | C227 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44401578, D16×Dic227, SD32×Dic227, … |
| maximal normal subgroup of | #44401578, D16×Dic227, SD32×Dic227, … |
| maximal quotient of | D8×C227⋊C8, #44398564, #44398619, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 632);