Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×Dic439⋊C4 |
| Sylow | C439 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14048 |
3524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243329, #43243455, C4×Dic439⋊C4, … |
| maximal normal subgroup of | #43243329, #43243455, C4×Dic439⋊C4, … |
| maximal quotient of | C2×C439⋊#95, C4×Dic439⋊C4, #43243462, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 100);