Finite Group DatabasebetaFinite Group Databasebeta| order | 2016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4×C7 · Schur multiplier (H2) = C2 |
| direct product | C3×C7×#833 |
| Hall | C32×C7 ⋊ #100 |
| Sylow | C32 ⋊ C7×#100 |
238 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 84 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 168 |
441 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C7×#10591503, C3×D7×#833, #72246817, … |
| maximal normal subgroup of | C7×#10591503, C3×D7×#833, #72246817, … |
Past the SmallGroups library coverage — no SmallGroups id.