Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
628 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 98 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. #11747067 | C2 | semidirect |
| 4. #11746885 | C2 | semidirect |
| 5. C3×D4⋊#168 | C2 | semidirect |
| 6. #11745854 | C2 | semidirect |
| 7. #11745839 | C2 | semidirect |
| 17. C5×#869 | C22 | semidirect |
| 21. C5×C4⋊(C3⋊C8) | C22 | semidirect |
| 22. C3×C4⋊#168 | C22 | semidirect |
| 23. C3×C4×#168 | C22 | semidirect |
| 31. D4⋊#168 | D3 | semidirect |
| 62. #5008 | D5 | semidirect |
| 83. C4⋊#168 | C2×D3 | semidirect |
| 84. C4×#168 | C2×D3 | semidirect |
| 93. C3×C5×D4 | SD16 | semidirect |
| 109. D60 | SD16 | semidirect |
| 126. #869 | C2×D5 | semidirect |
| 133. C4⋊(C3⋊C8) | C2×D5 | semidirect |
| 222. C5×D4 | #204 | semidirect |
| 275. C3×D4 | #688 | semidirect |
| 345. C3×C5 | #1629 | semidirect |
| 388. D4 | #6660 | semidirect |
| 408. C5 | #68195 | semidirect |
| 428. C3 | #10601936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D60 | 2 |
| C5×#5008 | 2 |
| #11747067 | 2 |
| #11746885 | 2 |
| C3×D4⋊#168 | 2 |
| #11745854 | 2 |
| #11745839 | 2 |
| #10601936 | 3 |
| #68195 | 5 |