Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622809 |
| Sylow | C11 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | #14669010, #14669012, #14669017, … |
| maximal normal subgroup of | #14669010, #14669012, #14669017, … |
| maximal quotient of | C2×D8×C11⋊C8, C2×SD16×C11⋊C8, C2×Q16×C11⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13400);