Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C8 · Schur multiplier (H2) = C2 |
| direct product | C3×#10682654 |
| Fitting | C32×#1368 ⋊ C2 |
| Sylow | C32 ⋊ #7389 |
270 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 86 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
198 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#72222516, #72222612, #72222649 |
| maximal normal subgroup of | C3×#72222516, #72222612, #72222649 |
Past the SmallGroups library coverage — no SmallGroups id.