Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#99×D89 |
| Fitting | C2×#99×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#99 |
1112 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #1390×D89, #36469373, #1393×D89, … |
| maximal normal subgroup of | #1390×D89, #36469373, #1393×D89, … |
| maximal quotient of | C2×#323×D89, C2×#324×D89, #1459×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12961);