Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#20300295 |
| Sylow | C227 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
2300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44399536, #44399537, #44399572, … |
| maximal normal subgroup of | #44399536, #44399537, #44399572, … |
| maximal quotient of | C2×#28408988, C4×#20300295, C2×#28408999, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1312);