Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D11×#102 |
| Fitting | C2×C11×#102 ⋊ C2 |
| Sylow | C11 ⋊ C22×#102 |
1072 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D11×#102, D11×#1762, #14751581, … |
| maximal normal subgroup of | C4×D11×#102, D11×#1762, #14751581, … |
| maximal quotient of | C2×D11×D4⋊C8, D11×#1486, C2×#13067039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12994);