Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊(C227⋊C8) |
| Sylow | C227 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
3656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44397568, #44397569, #44397574, … |
| maximal normal subgroup of | #44397568, #44397569, #44397574, … |
| maximal quotient of | C2×#28408783, C2×#28408785, #44398482, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 570);