Finite Group DatabasebetaFinite Group Databasebeta| order | 9680 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5 · Schur multiplier (H2) = C23 |
| direct product | C2×#72213653 |
| Fitting | C23×C112 ⋊ C2×C5 |
| Hall | C2×C11×C22⋊D11 ⋊ C5 |
| Hall | #10597243 ⋊ C2×D4 |
| Sylow | C112 ⋊ C2×C5×D4 |
376 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 73 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
158 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72213693, #72222614, #72222623, … |
| maximal normal subgroup of | C2×#72213693, #72222614, #72222623 |
| maximal quotient of | #72222599, D3×#72213653 |
Past the SmallGroups library coverage — no SmallGroups id.