Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20300231 |
| Fitting | C2×Q16×C227 ⋊ C2 |
| Sylow | C227 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44401583, C4×#20300231, #44401596, … |
| maximal normal subgroup of | #44401583, C4×#20300231, #44401596, … |
| maximal quotient of | C2×#28408832, C2×#28408836, C2×#28408859, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 972);