Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×M32×D89 |
| Fitting | C2×M32×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1375×D89, #36469276, #1376×D89, … |
| maximal normal subgroup of | #1375×D89, #36469276, #1376×D89, … |
| maximal quotient of | C2×#346×D89, C4×M32×D89, C2×M32×Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17604);