Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C8 · Schur multiplier (H2) = C1 |
| direct product | C3×#10682523 |
| Sylow | C32 ⋊ #7333 |
216 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72222590, C3×#72222516, #72222619 |
| maximal normal subgroup of | #72222590, C3×#72222516, #72222619 |
Past the SmallGroups library coverage — no SmallGroups id.