Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19151342 |
| Sylow | C89 ⋊ C2×#331 |
360 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442166, #36442167, C4×#19151342, … |
| maximal normal subgroup of | #36442166, #36442167, C4×#19151342, … |
| maximal quotient of | C2×#26018073, #36442403, #36442705, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 3151);