Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×#15667994 |
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#123 |
1968 conjugacy classes of subgroups; only the 605 normal subgroups are shown.
This group has 1968 conjugacy classes of subgroups — too many to draw. Only its 605 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 | #36445773, #36447037, #36447068, … |
| maximal normal subgroup of | #36445773, #36447037, #36447068, … |
| maximal quotient of | C22×#19151460, C22×#19151472, C22×#19151474, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17742);