Finite Group DatabasebetaFinite Group Databasebeta| order | 14624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20300725 |
| Sylow | C457 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7312 |
3668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44416533, #44416535, #44416536, … |
| maximal normal subgroup of | #44416533, #44416535, #44416536, … |
| maximal quotient of | C2×#28410463, C4×#20300725, C2×C22⋊#16814532, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14624, 151);