Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×(C22⋊D11)⋊C8 |
| Fitting | C2×C11×C22⋊C8 ⋊ C2 |
| Sylow | C11 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14644313, #14644318, #14646666, … |
| maximal normal subgroup of | #14644313, #14644318, #14646666, … |
| maximal quotient of | C2×#13067408, C2×#13067413, C2×#13067419, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13180);