Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
340 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 95 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. C2×#13093958 | C4 | semidirect |
| 6. C2×#13093956 | C4 | semidirect |
| 9. #15688905 | C4 | semidirect |
| 14. C47×H(3,ℤ/4) | C4 | semidirect |
| 158. H(3,ℤ/4) | Dic47 | semidirect |
| 159. C47 | #7254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688905 | 2 |
| #20243421 | 2 |
| C2×C47×H(3,ℤ/4) | 2 |
| #7254 | 47 |