Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#20300286 |
| Sylow | C227 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
2288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44400124, #44400125, #44400127, … |
| maximal normal subgroup of | #44400124, #44400125, #44400127, … |
| maximal quotient of | C2×#28408901, C2×#28408927, C2×#28408937, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1091);