Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
132 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 51 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. C4×D188 | C2 | semidirect |
| 3. #13093955 | C2 | semidirect |
| 4. #13093945 | C2 | semidirect |
| 5. #13093944 | C2 | semidirect |
| 6. #13093935 | C2 | semidirect |
| 7. C4×D4×C47 | C2 | semidirect |
| 15. #10625334 | C4 | semidirect |
| 23. D4×C47 | C2×C4 | semidirect |
| 31. D188 | C2×C4 | semidirect |
| 34. C47⋊C8 | C2×C4 | semidirect |
| 54. C47 | #442 | semidirect |
| 57. C4×D4 | D47 | semidirect |
| 79. D4 | C4×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625334 | 2 |
| C4×D188 | 2 |
| #13093955 | 2 |
| #13093945 | 2 |
| #13093944 | 2 |
| #13093935 | 2 |
| C4×D4×C47 | 2 |
| #442 | 47 |