Finite Group DatabasebetaFinite Group Databasebeta| order | 8748 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#72221843 |
| Fitting | C2×#14550736 ⋊ C2 |
| Sylow | #14550736 ⋊ C22 |
538 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 162 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72221847 |
| maximal normal subgroup of | C2×#72221847 |
Past the SmallGroups library coverage — no SmallGroups id.