Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×#15668002 |
| Sylow | C89 ⋊ C4×#125 |
484 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#15668002, #36562728, #36562734, … |
| maximal normal subgroup of | C8×#15668002, #36562728, #36562734, … |
| maximal quotient of | C4×#19151479, C4×#19151484, C4×#19151483, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7066);