Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152154 |
| Fitting | C2×#125×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#533 |
1168 conjugacy classes of subgroups; only the 541 normal subgroups are shown.
This group has 1168 conjugacy classes of subgroups — too many to draw. Only its 541 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445907, #36520441, #36520560, … |
| maximal normal subgroup of | #36445907, #36520441, #36520560, … |
| maximal quotient of | C2×#26022658, C2×#26022725, C2×#26022733, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17800);