Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20296317 |
| Sylow | C439 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
2204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#20296317, #43243695, #43243701, … |
| maximal normal subgroup of | C4×#20296317, #43243695, #43243701, … |
| maximal quotient of | C2×#28380664, C2×#28380666, C2×#28380674, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 160);