Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | AGL(1,ℤ/8)×Dic89 |
| Sylow | C89 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #453×Dic89, #36560305, #454×Dic89, … |
| maximal normal subgroup of | #453×Dic89, #36560305, #454×Dic89, … |
| maximal quotient of | AGL(1,ℤ/8)×#10623494, #36524013, #36524036, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13320);