Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic89 |
| Sylow | C89 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #36475004, SD64×Dic89, #36475011, … |
| maximal normal subgroup of | #36475004, SD64×Dic89, #36475011, … |
| maximal quotient of | Q32×#10623494, #36466345, #36466419, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6369);