Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D3×#5936 |
| derived | C3×C22⋊A4 ⋊ C22×C4 |
14161 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 14161 conjugacy classes of subgroups — too many to draw. Only its 140 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#1020⋊C4, C2×D3×#73081, C2×D3×#87524 |
| maximal normal subgroup of | C2×D3×#1020⋊C4, C2×D3×#73081, C2×D3×#87524 |
Past the SmallGroups library coverage — no SmallGroups id.