Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20301489 |
| Sylow | C461 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
2314 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#20301489, #44442167, #44442173, … |
| maximal normal subgroup of | C4×#20301489, #44442167, #44442173, … |
| maximal quotient of | C2×#28414039, C2×#28414041, C2×#28414049, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 160);