Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | D11×#339 |
| Fitting | C11×#339 ⋊ C2 |
| Sylow | C11 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D11×#339, D11×#1733, #14751162, … |
| maximal normal subgroup of | C2×D11×#339, D11×#1733, #14751162, … |
| maximal quotient of | D11×#1276, #14643213, #14643219, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4214);