Finite Group DatabasebetaFinite Group Databasebeta| order | 2352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C7 · Schur multiplier (H2) = C22 |
| direct product | C7×#66728 |
| Fitting | C2×C3×C4×C72 ⋊ C2 |
| Hall | C3×C72 ⋊ #41 |
| Sylow | C72 ⋊ #235 |
| Sylow | C3 ⋊ C7×#1157 |
208 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 70 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 168 |
630 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72254255, D3×C7×#1157, #72254266, … |
| maximal normal subgroup of | #72254255, D3×C7×#1157, #72254266, … |
Past the SmallGroups library coverage — no SmallGroups id.