Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10622594 |
| Sylow | C11 ⋊ C2×#387 |
712 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14644293, #14646449, C4×#10622594, … |
| maximal normal subgroup of | #14644293, #14646449, C4×#10622594, … |
| maximal quotient of | C2×#13066841, C2×#13066848, C2×#13066850, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6936);