Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
512 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 2. C5×#5008 | C2 | semidirect |
| 3. #11747079 | C2 | semidirect |
| 4. #11746954 | C2 | semidirect |
| 5. D4⋊(C3⋊#168) | C2 | semidirect |
| 6. #11745852 | C2 | semidirect |
| 7. #11745840 | C2 | semidirect |
| 62. #5008 | D5 | semidirect |
| 107. C3×Dic10 | SD16 | semidirect |
| 224. Dic10 | #214 | semidirect |
| 318. C3×C5 | #1631 | semidirect |
| 372. C5 | #71919 | semidirect |
| 389. C3 | #10601934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65887 | 2 |
| C5×#5008 | 2 |
| #11747079 | 2 |
| #11746954 | 2 |
| D4⋊(C3⋊#168) | 2 |
| #11745852 | 2 |
| #11745840 | 2 |
| #10601934 | 3 |
| #71919 | 5 |