Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#10622849 |
| Sylow | C11 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14659237, #14659239, #14659242, … |
| maximal normal subgroup of | #14659237, #14659239, #14659242, … |
| maximal quotient of | C2×#13067007, C2×#13067011, C2×#13067003, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13052);