Finite Group DatabasebetaFinite Group Databasebeta| order | 2352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C7 · Schur multiplier (H2) = C2 |
| direct product | C7×#66560 |
| Hall | C3×C72 ⋊ D8 |
| Sylow | C72 ⋊ #213 |
| Sylow | C3 ⋊ C7×#1141 |
136 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 36 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 168 |
273 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72269323, D3×C7×#1141, #72269328, … |
| maximal normal subgroup of | #72269323, D3×C7×#1141, #72269328, … |
Past the SmallGroups library coverage — no SmallGroups id.