Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
736 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 156 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×#91279 | C2 | semidirect |
| 2. C2×#91277 | C2 | semidirect |
| 3. C2×C16×D15 | C2 | semidirect |
| 4. C2×C5×#800 | C2 | semidirect |
| 5. C2×C3×#3932 | C2 | semidirect |
| 6. C2×#90946 | C2 | semidirect |
| 7. C2×#90937 | C2 | semidirect |
| 8. #11746840 | C2 | direct (N × H) |
| 20. #91279 | C22 | semidirect |
| 22. #91277 | C22 | semidirect |
| 25. C16×D15 | C22 | semidirect |
| 26. C5×#800 | C22 | semidirect |
| 27. C3×#3932 | C22 | semidirect |
| 28. #90946 | C22 | semidirect |
| 29. #90937 | C22 | semidirect |
| 37. C2×#3932 | D3 | semidirect |
| 74. C2×#800 | D5 | semidirect |
| 94. #3932 | C2×D3 | semidirect |
| 139. #800 | C2×D5 | semidirect |
| 263. C2×C3×C5 | #508 | semidirect |
| 333. C3×C5 | C2×#508 | semidirect |
| 347. C2×C5 | #4916 | semidirect |
| 376. C2×C3 | #65205 | semidirect |
| 380. C5 | C2×#4916 | semidirect |
| 393. C3 | C2×#65205 | semidirect |
| 397. C2 | #11746840 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91279 | 2 |
| C2×#91277 | 2 |
| C2×C16×D15 | 2 |
| C2×C5×#800 | 2 |
| C2×C3×#3932 | 2 |
| C2×#90946 | 2 |
| C2×#90937 | 2 |
| #11746840 | 2 |
| C2×#65205 | 3 |
| C2×#4916 | 5 |