Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#14270406 |
| unambiguous semidirect product | D461⋊C42 |
| Fitting | C2×C4×C461 ⋊ C4 |
| derived, Sylow | C461 ⋊ C2×C42 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3688 |
952 conjugacy classes. The character table is too large to display.
| maximal subgroup of | (C2×#14270406)⋊C8, #44442946, #44442948, … |
| maximal normal subgroup of | (C2×#14270406)⋊C8, #44442946, #44442948, … |
| maximal quotient of | C42×#14270406, C2×(C2×#14270406)⋊C4, #44443012, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 222);