Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q64×D89 |
| Fitting | Q64×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
874 conjugacy classes — view the full character table.
| maximal subgroup of | SD128×D89, Q128×D89, #36475489, … |
| maximal normal subgroup of | SD128×D89, Q128×D89, #36475489, … |
| maximal quotient of | #1416×D89, #1423×D89, #36475011, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6813);