Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C22×#15668006 |
| Fitting | C22×C42×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#126 |
1320 conjugacy classes of subgroups.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445790, #36478950, #36478954, … |
| maximal normal subgroup of | #36445790, #36478950, #36478954, … |
| maximal quotient of | C22×#19151466, C22×#19151482, C22×#19151489, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17766);