Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1844 |
| Fitting | C42×C461 ⋊ C2 |
| Sylow | C461 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
3700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44441803, #44441805, #44442141, … |
| maximal normal subgroup of | #44441803, #44441805, #44442141, … |
| maximal quotient of | C4×#20301478, C4×C4⋊Dic461, #44441950, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 110);