Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1756 |
| Sylow | C439 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14048 |
3518 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243407, #43243409, #43243419, … |
| maximal normal subgroup of | #43243407, #43243409, #43243419, … |
| maximal quotient of | C2×#28380668, C2×#28380677, C4×Dic1756, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 164);