Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D3688 |
| Fitting | C2×C8×C461 ⋊ C2 |
| Sylow | C461 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
3694 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44441876, #44441878, #44441888, … |
| maximal normal subgroup of | #44441876, #44441878, #44441888, … |
| maximal quotient of | C2×#28414040, C2×#28414052, C4×D3688, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 157);