Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#20300219 |
| Sylow | C227 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44399622, C4×#20300219, #44399630, … |
| maximal normal subgroup of | #44399622, C4×#20300219, #44399630, … |
| maximal quotient of | C2×#28408782, #44398489, #44398504, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 579);