Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151702 |
| Sylow | C89 ⋊ C2×#441 |
480 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 197 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36552926, C4×#19151702, #36552953, … |
| maximal normal subgroup of | #36552926, C4×#19151702, #36552953, … |
| maximal quotient of | C2×#26019068, C2×#26019120, C2×#26019126, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13294);