Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×#15668011 |
| Sylow | C89 ⋊ C22×C4⋊Q8 |
1624 conjugacy classes of subgroups; only the 725 normal subgroups are shown.
This group has 1624 conjugacy classes of subgroups — too many to draw. Only its 725 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 | #36447061, #36463339, #36463345, … |
| maximal normal subgroup of | #36447061, #36463339, #36463345, … |
| maximal quotient of | C22×#19151467, C22×#19151494, C22×#19151495, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17785);