Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic878 |
| Sylow | C439 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14048 |
3524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243508, #43243509, #43243510, … |
| maximal normal subgroup of | #43243508, #43243509, #43243510, … |
| maximal quotient of | C22×Dic439⋊C4, C22×C4⋊Dic439, C2×C4×Dic878, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 186);