Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×#19151322 |
| Sylow | C89 ⋊ C2×#323 |
456 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441386, #36441387, #36441547, … |
| maximal normal subgroup of | #36441386, #36441387, #36441547, … |
| maximal quotient of | C2×#26018073, C2×#26018078, #36442380, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2817);