Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20301511 |
| Sylow | C461 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
940 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44442946, #44442952, #44442959, … |
| maximal normal subgroup of | #44442946, #44442952, #44442959, … |
| maximal quotient of | C2×#28414173, C4×#20301511, C2×#28414175, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 232);