Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 102 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. C3×#65120 | C2 | semidirect |
| 5. C5×#4480 | C2 | semidirect |
| 6. #11745840 | C2 | semidirect |
| 7. C3⋊C8×#168 | C2 | semidirect |
| 26. #65120 | D3 | semidirect |
| 55. #4480 | D5 | semidirect |
| 89. C3×#168 | SD16 | semidirect |
| 92. C5×C3⋊C8 | M16 | semidirect |
| 182. #168 | #215 | semidirect |
| 221. C3⋊C8 | #676 | semidirect |
| 252. C3×C5 | #1590 | semidirect |
| 293. C5 | #70950 | semidirect |
| 306. C3 | #10599316 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65120 | 2 |
| C4×#6658 | 2 |
| #11747009 | 2 |
| #11746304 | 2 |
| C5×#4480 | 2 |
| #11745840 | 2 |
| C3⋊C8×#168 | 2 |
| #10599316 | 3 |
| #70950 | 5 |