Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622436 |
| Fitting | C2×C11×#104 ⋊ C2 |
| Sylow | C11 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #14752331, #14752332, C4×#10622436, … |
| maximal normal subgroup of | #14752331, #14752332, C4×#10622436, … |
| maximal quotient of | C2×#13067425, C2×#13067431, C2×#13067432, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13403);