Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
532 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 1. C2×D8×D15 | C2 | semidirect |
| 2. C2×C3×#3958 | C2 | semidirect |
| 3. #11747932 | C2 | semidirect |
| 4. C2×#90938 | C2 | semidirect |
| 5. C5×#4562 | C2 | semidirect |
| 6. #11745896 | C2 | semidirect |
| 7. #11745881 | C2 | semidirect |
| 16. C2×C3×D40 | C22 | semidirect |
| 18. C5×#818 | C22 | semidirect |
| 19. C2×C5×C3⋊C16 | C22 | semidirect |
| 21. C2×C3×#672 | C22 | semidirect |
| 26. C2×#3958 | D3 | semidirect |
| 42. C3×C5×D8 | D4 | semidirect |
| 47. D120 | D4 | semidirect |
| 60. #4562 | D5 | semidirect |
| 69. C2×D40 | C2×D3 | semidirect |
| 75. C2×#672 | C2×D3 | semidirect |
| 115. #818 | C2×D5 | semidirect |
| 116. C2×C3⋊C16 | C2×D5 | semidirect |
| 127. C5×D8 | #67 | semidirect |
| 158. C2×D15 | D16 | semidirect |
| 178. C3×D8 | D20 | semidirect |
| 291. D8 | #1202 | semidirect |
| 300. C3×C5 | #2184 | semidirect |
| 356. C5 | #71467 | semidirect |
| 375. C3 | #10599984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D15 | 2 |
| C2×C3×#3958 | 2 |
| #11747932 | 2 |
| C2×#90938 | 2 |
| C5×#4562 | 2 |
| #11745896 | 2 |
| #11745881 | 2 |
| #10599984 | 3 |
| #71467 | 5 |