Finite Group DatabasebetaFinite Group Databasebeta| order | 14624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic914 |
| Sylow | C457 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14624 |
3668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44416681, #44416682, #44416683, … |
| maximal normal subgroup of | #44416681, #44416682, #44416683, … |
| maximal quotient of | C22×#20300720, C22×C4⋊Dic457, C2×C4×Dic914, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14624, 186);