Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19149766 |
| Sylow | C173 ⋊ C2×#131 |
266 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 140 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
470 conjugacy classes — view the full character table.
| maximal subgroup of | #36369320, #36369321, #36369338, … |
| maximal normal subgroup of | #36369320, #36369321, #36369338, … |
| maximal quotient of | C2×#26012455, C2×#26012456, C4×#19149766, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1624);