Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
616 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 616 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×#5007 | C2 | semidirect |
| 3. #11747087 | C2 | semidirect |
| 4. #11746912 | 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. #5007 | D5 | semidirect |
| 83. C4⋊#168 | C2×D3 | semidirect |
| 84. C4×#168 | C2×D3 | semidirect |
| 93. C3×C5×D4 | SD16 | semidirect |
| 127. #869 | C2×D5 | semidirect |
| 134. C4⋊(C3⋊C8) | C2×D5 | semidirect |
| 224. C5×D4 | #204 | semidirect |
| 277. C3×D4 | #688 | semidirect |
| 348. C3×C5 | #1639 | semidirect |
| 392. D4 | #6660 | semidirect |
| 412. C5 | #68182 | semidirect |
| 432. C3 | #10601901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D60 | 2 |
| C5×#5007 | 2 |
| #11747087 | 2 |
| #11746912 | 2 |
| C3×D4⋊#168 | 2 |
| #11745854 | 2 |
| #11745839 | 2 |
| #10601901 | 3 |
| #68182 | 5 |