Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C22⋊C4×D461 |
| Fitting | C22⋊C4×C461 ⋊ C2 |
| Sylow | C461 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3688 |
2320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×D461, C2×C22⋊C4×D461, #117×D461, … |
| maximal normal subgroup of | #99×D461, C2×C22⋊C4×D461, #117×D461, … |
| maximal quotient of | #95×D461, #44441923, C22⋊C4×Dic461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 96);