Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#101×D89 |
| Fitting | C2×#101×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#101 |
736 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #1394×D89, #36469411, #36471964, … |
| maximal normal subgroup of | #1394×D89, #36469411, #36471964, … |
| maximal quotient of | C2×#324×D89, #1461×D89, C2×#26018574, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12978);