Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊(C227⋊C8) |
| Sylow | C227 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
3656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397576, #44397577, #44397580, … |
| maximal normal subgroup of | #44397576, #44397577, #44397580, … |
| maximal quotient of | C2×#28408756, C2×#28408758, #44398048, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 510);