Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#10622171 |
| Sylow | C11 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | Dic11×#344, C4×#10622171, #14658984, … |
| maximal normal subgroup of | Dic11×#344, C4×#10622171, #14658984, … |
| maximal quotient of | C2×#13066460, #14643403, #14643406, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4251);