Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622810 |
| 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 | #14669067, #14669069, #14669074, … |
| maximal normal subgroup of | #14669067, #14669069, #14669074, … |
| maximal quotient of | C2×SD16⋊(C11⋊C8), C2×#13067435, C2×#13067440, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13406);