Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×#13083564 |
| Sylow | C89 ⋊ C8×Q16 |
164 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 77 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 | #36466219, C16×#13083564, #36466224, … |
| maximal normal subgroup of | #36466219, C16×#13083564, #36466224, … |
| maximal quotient of | C8×#15667936, C8×#15667935, C8×#15667945, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 3315);