Finite Group DatabasebetaFinite Group Databasebeta| order | 8748 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C9 · Schur multiplier (H2) = C2×C32 |
| direct product | C2×#72221820 |
| Fitting | C2×#14554150 ⋊ C2 |
| derived | C3×C27 ⋊ C22×C3×C9 |
| Sylow | #14554150 ⋊ C22 |
1225 conjugacy classes of subgroups.
| transitive degree | μt(G) = 162 |
380 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72221828, C2×#72221847, C2×#72221860 |
| maximal normal subgroup of | C2×#72221847, C2×#72221860 |
Past the SmallGroups library coverage — no SmallGroups id.