Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20296318 |
| Fitting | C2×C8×C439 ⋊ C2 |
| Sylow | C439 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
3518 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243691, C4×#20296318, #43243703, … |
| maximal normal subgroup of | #43243691, C4×#20296318, #43243703, … |
| maximal quotient of | C2×#28380665, C2×#28380668, C2×#28380675, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 161);