Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#10622339 |
| Fitting | C2×C11×C22⋊C8 ⋊ C2 |
| Sylow | C11 ⋊ C2×#407 |
1008 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14643371, #14643377, #14643383, … |
| maximal normal subgroup of | #14643371, #14643377, #14643383, … |
| maximal quotient of | C2×#13066941, C2×#13066944, C2×#13066947, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12944);