Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#20300282 |
| Fitting | C2×C42×C227 ⋊ C2 |
| Sylow | C227 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
3644 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44398101, #44398104, #44402282, … |
| maximal normal subgroup of | #44398101, #44398104, #44402282, … |
| maximal quotient of | C2×#28408900, C2×#28408916, C2×#28408923, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1074);