Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#20300275 |
| Sylow | C227 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44400120, #44400122, #44400134, … |
| maximal normal subgroup of | #44400120, #44400122, #44400134, … |
| maximal quotient of | C2×#28408897, C2×#28408926, C2×#28408935, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1065);