Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
616 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 100 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×#5070 | C2 | semidirect |
| 3. #11747059 | C2 | semidirect |
| 4. #11746886 | C2 | semidirect |
| 5. #11746365 | C2 | semidirect |
| 6. #11745835 | C2 | semidirect |
| 7. #11745835 | C2 | semidirect |
| 12. C5×#869 | C22 | semidirect |
| 19. C4⋊(C3⋊#168) | C22 | semidirect |
| 20. C4⋊(C3⋊#168) | C22 | semidirect |
| 22. C4×C5×C3⋊C8 | C22 | semidirect |
| 62. #5070 | D5 | semidirect |
| 110. C3×D20 | SD16 | semidirect |
| 127. #869 | C2×D5 | semidirect |
| 134. C4×C3⋊C8 | C2×D5 | semidirect |
| 239. D20 | #214 | semidirect |
| 348. C3×C5 | #1639 | semidirect |
| 412. C5 | #71908 | semidirect |
| 432. C3 | #10601991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66051 | 2 |
| C5×#5070 | 2 |
| #11747059 | 2 |
| #11746886 | 2 |
| #11746365 | 2 |
| #11745835 | 2 |
| #10601991 | 3 |
| #71908 | 5 |