Finite Group DatabasebetaFinite Group Databasebeta| order | 8748 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#72221824 |
| Fitting | C2×#14554636 ⋊ C2 |
| Sylow | #14554636 ⋊ C22 |
879 conjugacy classes of subgroups.
| transitive degree | μt(G) = 162 |
236 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72221828 |
Past the SmallGroups library coverage — no SmallGroups id.