Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19151986 |
| Fitting | C22×D8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#496 |
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36562965, C4×#19151986, #36562986, … |
| maximal normal subgroup of | #36562965, C4×#19151986, #36562986, … |
| maximal quotient of | C2×#26019873, C2×#26019875, C2×#26019878, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 14943);