Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| isoclinism | isoclinic class of #2017⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4×#2017⋊C3 |
| Fitting, Sylow | C2×C4×#2017 ⋊ C3 |
5102 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 5102 conjugacy classes of subgroups — too many to draw. Only its 162 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
240 conjugacy classes — view the full character table.
| maximal subgroup of | #72218438 |
| maximal normal subgroup of | #72218438 |
| maximal quotient of | C2×#72211696 |
Past the SmallGroups library coverage — no SmallGroups id.