Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151616 |
| Fitting | C2×#117×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459889, #36459891, #36459896, … |
| maximal normal subgroup of | #36459889, #36459891, #36459896, … |
| maximal quotient of | C2×#26018644, C2×#26018648, C2×#26018640, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13053);