Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20268501 | C2 | semidirect |
| 3. #20268138 | C2 | semidirect |
| 4. #20268111 | C2 | semidirect |
| 5. #20268081 | C2 | semidirect |
| 6. #20268023 | C2 | semidirect |
| 7. #20267991 | C2 | semidirect |
| 8. #20267940 | C2 | semidirect |
| 9. C8×D412 | C2 | semidirect |
| 10. #102×D103 | C2 | semidirect |
| 11. C4×SD16×C103 | C2 | semidirect |
| 14. C2×#13110092 | C22 | semidirect |
| 15. C2×C8×D103 | C22 | semidirect |
| 16. #15693021 | C22 | semidirect |
| 20. #15692997 | C22 | semidirect |
| 26. C4⋊C4×D103 | C22 | semidirect |
| 27. #15692952 | C22 | semidirect |
| 28. C4⋊(C103⋊C8) | C22 | semidirect |
| 29. #15692943 | C22 | semidirect |
| 30. #15692943 | C22 | semidirect |
| 32. #15692941 | C22 | semidirect |
| 33. (C2×D103)⋊C8 | C22 | semidirect |
| 35. C4×Q8×C103 | C22 | semidirect |
| 37. #106×C103 | C22 | semidirect |
| 38. #103×C103 | C22 | semidirect |
| 40. C4×C8×C103 | C22 | semidirect |
| 102. D412 | SD16 | semidirect |
| 137. C103 | #3295 | semidirect |
| 146. C4×SD16 | D103 | semidirect |
| 162. C4×Q8 | C2×D103 | semidirect |
| 168. #106 | C2×D103 | semidirect |
| 170. #103 | C2×D103 | semidirect |
| 177. C4×C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268501 | 2 |
| D4×D412 | 2 |
| #20268138 | 2 |
| #20268111 | 2 |
| #20268081 | 2 |
| #20268023 | 2 |
| #20267991 | 2 |
| #20267940 | 2 |
| C8×D412 | 2 |
| #102×D103 | 2 |
| C4×SD16×C103 | 2 |
| #3295 | 103 |