Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#15667938 |
| Fitting | C4×M16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#104 |
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445135, C8×#15667938, #36445142, … |
| maximal normal subgroup of | #36445135, C8×#15667938, #36445142, … |
| maximal quotient of | C4×#19151325, C4×#19151328, #36445043, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4318);