Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D11×#423 |
| Fitting | C11×#423 ⋊ C2 |
| Sylow | C11 ⋊ C2×#423 |
576 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1286, #14643555, #14643567, … |
| maximal normal subgroup of | D11×#1286, #14643555, #14643567, … |
| maximal quotient of | D11×#1566, D11×#1567, D11×#1568, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13062);