Finite Group DatabasebetaFinite Group Databasebeta| order | 2016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C7 · Schur multiplier (H2) = C24 |
| direct product | C7×#63974 |
| Hall | C32×C7 ⋊ C2×C22⋊C4 |
| Sylow | C32 ⋊ C2×C7×C22⋊C4 |
662 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 662 conjugacy classes of subgroups — too many to draw. Only its 136 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 168 |
336 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D7×#63974, C7×#10595278, #72247028 |
| maximal normal subgroup of | D7×#63974, C7×#10595278, #72247028 |
| maximal quotient of | C7×#10591503 |
Past the SmallGroups library coverage — no SmallGroups id.