Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #444×D89 |
| Fitting | #444×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #2180×D89, AGL(1,ℤ/16)×D89, #36707873, … |
| maximal normal subgroup of | #2180×D89, AGL(1,ℤ/16)×D89, #36707873, … |
| maximal quotient of | SD16⋊C8×D89, #1579×D89, #1580×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13402);