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. C3×#65296 | C2 | semidirect |
| 3. #11747085 | C2 | semidirect |
| 4. #11746910 | C2 | semidirect |
| 5. C5×D4⋊(C3⋊C8) | C2 | semidirect |
| 6. #11745854 | C2 | semidirect |
| 7. #11745838 | C2 | semidirect |
| 17. C3×#4015 | C22 | semidirect |
| 19. C5×C4⋊(C3⋊C8) | C22 | semidirect |
| 20. C4×C5×C3⋊C8 | C22 | semidirect |
| 23. C3×C4⋊#168 | C22 | semidirect |
| 28. #65296 | D3 | semidirect |
| 65. D4⋊(C3⋊C8) | D5 | semidirect |
| 77. #4015 | C2×D3 | semidirect |
| 84. C4⋊#168 | C2×D3 | semidirect |
| 93. C3×C5×D4 | SD16 | semidirect |
| 133. C4⋊(C3⋊C8) | C2×D5 | semidirect |
| 134. C4×C3⋊C8 | C2×D5 | semidirect |
| 222. C5×D4 | #215 | semidirect |
| 279. C3×D4 | #677 | semidirect |
| 348. C3×C5 | #1639 | semidirect |
| 392. D4 | #6658 | semidirect |
| 412. C5 | #71108 | semidirect |
| 432. C3 | #10598975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D60 | 2 |
| C3×#65296 | 2 |
| #11747085 | 2 |
| #11746910 | 2 |
| C5×D4⋊(C3⋊C8) | 2 |
| #11745854 | 2 |
| #11745838 | 2 |
| #10598975 | 3 |
| #71108 | 5 |