Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D439 |
| Fitting | C22×C4×C439 ⋊ C2 |
| Sylow | C439 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
3524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | (C22⋊D439)⋊C8, C8×C22⋊D439, #43243672, … |
| maximal normal subgroup of | (C22⋊D439)⋊C8, C8×C22⋊D439, #43243672, … |
| maximal quotient of | C4×C22⋊Dic439, C4×(C2×D439)⋊C4, C4×Dic439⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 107);