Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C4×#13083551 |
| Fitting | C22×C42×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19151321, #36444939, #36447082, … |
| maximal normal subgroup of | C4×#19151321, #36444939, #36447082, … |
| maximal quotient of | C2×C4×#15667919, C42×#13083551, C2×#26018473, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6841);