Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×D11×C4⋊C8 |
| Fitting | C2×C11×C4⋊C8 ⋊ C2 |
| Sylow | C11 ⋊ C22×C4⋊C8 |
640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×#1277, #14643233, #14643247, … |
| maximal normal subgroup of | D11×#1277, #14643233, #14643247, … |
| maximal quotient of | C2×D11×#334, C2×D11×#335, D11×#1564, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13059);