Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22×#15667951 |
| Fitting | C22×C16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469266, #36469269, #36469299, … |
| maximal normal subgroup of | #36469266, #36469269, #36469299, … |
| maximal quotient of | C22×#19151373, C2×C4×#15667951, C22×#19151377, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17605);