Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622737 |
| Sylow | C11 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14659858, #14659860, #14659861, … |
| maximal normal subgroup of | #14659858, #14659860, #14659861, … |
| maximal quotient of | C2×#13067366, C2×#13067369, #14722756, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13116);