Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C42×D356 |
| Fitting | C43×C89 ⋊ C2 |
| Sylow | C89 ⋊ C42×D4 |
924 conjugacy classes of subgroups; only the 381 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 381 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19151327, C4×#19151325, #36445031, … |
| maximal normal subgroup of | C4×#19151327, C4×#19151325, #36445031, … |
| maximal quotient of | C42×#13083551, C42×C4⋊Dic89, C4×#19151476, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6858);