Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20296312 |
| Fitting | C2×C8×C439 ⋊ C2 |
| Sylow | C439 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
3524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243385, C4×#20296312, #43243556, … |
| maximal normal subgroup of | #43243385, C4×#20296312, #43243556, … |
| maximal quotient of | C2×#28380653, C4×#20296312, C2×(C2×D439)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 150);