Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C22×C3×C4 |
| direct product | C3⋊D3×#1311 |
| Fitting | C32×#1311 ⋊ C2 |
| Sylow | C32 ⋊ C2×#1311 |
1098 conjugacy classes of subgroups; only the 387 normal subgroups are shown.
This group has 1098 conjugacy classes of subgroups — too many to draw. Only its 387 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1152 |
480 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3⋊D3×#7330, C3⋊D3×#7053, C3⋊D3×#7332, … |
| maximal normal subgroup of | C3⋊D3×#7330, C3⋊D3×#7053, C3⋊D3×#7332, … |
| maximal quotient of | C3⋊D3×#7330 |
Past the SmallGroups library coverage — no SmallGroups id.