Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622165 |
| Sylow | C11 ⋊ C2×#342 |
680 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | Dic11×#342, C4×#10622165, #14659033, … |
| maximal normal subgroup of | Dic11×#342, C4×#10622165, #14659033, … |
| maximal quotient of | C2×#13066458, #14643366, #14643372, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4239);