Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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×#10625350 | C2 | semidirect |
| 2. #13094055 | C2 | semidirect |
| 3. #13094054 | C2 | semidirect |
| 4. #13094050 | C2 | semidirect |
| 5. #13094049 | C2 | semidirect |
| 6. #13094044 | C2 | semidirect |
| 7. C2×#10625329 | C2 | semidirect |
| 8. C2×#41×C47 | C2 | semidirect |
| 12. #41×C47 | C22 | semidirect |
| 13. C2×Q8×C47 | C22 | semidirect |
| 15. C2×D4×C47 | C22 | semidirect |
| 22. #10625350 | C22 | semidirect |
| 23. C2×D188 | C22 | semidirect |
| 25. C2×Dic94 | C22 | semidirect |
| 26. #10625337 | C22 | semidirect |
| 27. #10625336 | C22 | semidirect |
| 28. #10625335 | C22 | semidirect |
| 29. #10625334 | C22 | semidirect |
| 30. #10625329 | C22 | semidirect |
| 31. #10625329 | C22 | semidirect |
| 32. C2×C47⋊C8 | C22 | semidirect |
| 82. C47 | #575 | semidirect |
| 84. C2×#41 | D47 | semidirect |
| 98. #41 | C2×D47 | semidirect |
| 100. C2×Q8 | C2×D47 | semidirect |
| 104. C2×D4 | C2×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625350 | 2 |
| #13094055 | 2 |
| #13094054 | 2 |
| #13094050 | 2 |
| #13094049 | 2 |
| #13094044 | 2 |
| C2×#10625329 | 2 |
| C2×#41×C47 | 2 |
| #575 | 47 |