Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#15667977 |
| Sylow | C89 ⋊ C22×C4×Q8 |
1664 conjugacy classes of subgroups; only the 941 normal subgroups are shown.
This group has 1664 conjugacy classes of subgroups — too many to draw. Only its 941 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445770, #36459855, #36459996, … |
| maximal normal subgroup of | #36445770, #36459855, #36459996, … |
| maximal quotient of | C22×#19151449, C22×C4⋊C4×Dic89, C2×C4×#15667977, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17684);