Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 82 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×#91808 | C2 | semidirect |
| 2. C2×C3×#3960 | C2 | semidirect |
| 3. #11747932 | C2 | semidirect |
| 4. C2×#90938 | C2 | semidirect |
| 5. C5×#4564 | C2 | semidirect |
| 6. #11745896 | C2 | semidirect |
| 7. #11745881 | C2 | semidirect |
| 26. C2×#3960 | D3 | semidirect |
| 42. C3×C5×Q16 | D4 | semidirect |
| 47. D120 | D4 | semidirect |
| 60. #4564 | D5 | semidirect |
| 125. C5×Q16 | #67 | semidirect |
| 171. C3×Q16 | D20 | semidirect |
| 273. Q16 | #1202 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #71484 | semidirect |
| 352. C3 | #10600017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91808 | 2 |
| C2×C3×#3960 | 2 |
| #11747932 | 2 |
| C2×#90938 | 2 |
| C5×#4564 | 2 |
| #11745896 | 2 |
| #11745881 | 2 |
| #10600017 | 3 |
| #71484 | 5 |