Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #367×D89 |
| Fitting | #367×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #1418×D89, #1426×D89, C2×#367×D89, … |
| maximal normal subgroup of | #1418×D89, #1426×D89, C2×#367×D89, … |
| maximal quotient of | #1372×D89, #36466071, #36466111, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6288);