Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×AGL(1,ℤ/8)×D89 |
| Fitting | C2×AGL(1,ℤ/8)×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×AGL(1,ℤ/8) |
1720 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #1883×D89, #36555956, #1903×D89, … |
| maximal normal subgroup of | #1883×D89, #36555956, #1903×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 19240);