Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#20300209 |
| Sylow | C227 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#20300209, #102×Dic227, #44399559, … |
| maximal normal subgroup of | C4×#20300209, #102×Dic227, #44399559, … |
| maximal quotient of | C2×D4⋊(C227⋊C8), #44398133, #44398159, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 536);