Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic878 |
| Sylow | C439 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14048 |
3524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243334, #43243336, C4×#20296317, … |
| maximal normal subgroup of | #43243334, #43243336, C4×#20296317, … |
| maximal quotient of | C4×C4⋊Dic439, C4×Dic439⋊C4, #43243487, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 112);