Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D11×#104 |
| Fitting | C2×C11×#104 ⋊ C2 |
| Sylow | C11 ⋊ C22×#104 |
856 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D11×#104, D11×#1759, #14751500, … |
| maximal normal subgroup of | C4×D11×#104, D11×#1759, #14751500, … |
| maximal quotient of | C2×D11×D4⋊C8, C2×D11×Q8⋊C8, D11×#1476, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13045);