Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22⋊C4×C22⋊D89 |
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ D4×C22⋊C4 |
1252 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36569748, #99×C22⋊D89, #36570556, … |
| maximal normal subgroup of | #36569748, #99×C22⋊D89, #36570556, … |
| maximal quotient of | C22⋊C4×#13083551, C22⋊C4×C22⋊Dic89, C22⋊C4×#13083553, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7329);