Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19151426 |
| Sylow | C89 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442136, #36442137, #36442142, … |
| maximal normal subgroup of | #36442136, #36442137, #36442142, … |
| maximal quotient of | C2×#26018326, #36466073, #36466113, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6290);