Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D461 |
| Fitting | C22×C4×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 | #44442139, C8×C22⋊D461, #44442144, … |
| maximal normal subgroup of | #44442139, C8×C22⋊D461, #44442144, … |
| maximal quotient of | C4×C22⋊Dic461, C4×#20301478, C4×#20301480, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 107);