Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#15667986 |
| Fitting | C22×C42×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#121 |
824 conjugacy classes of subgroups.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442385, #36442388, #36442458, … |
| maximal normal subgroup of | #36442385, #36442388, #36442458, … |
| maximal quotient of | C4×#19151477, C4×#19151489, C4×#19151500, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7023);