Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19151401 |
| Sylow | C89 ⋊ C2×#358 |
232 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469636, C4×#19151401, #36469646, … |
| maximal normal subgroup of | #36469636, C4×#19151401, #36469646, … |
| maximal quotient of | C2×#26018215, #36464406, #36464458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6211);