Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
440 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 145 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. #20268348 | C2 | semidirect |
| 3. #20268092 | C2 | semidirect |
| 4. #20268082 | C2 | semidirect |
| 5. #20268072 | C2 | semidirect |
| 6. #20267833 | C2 | semidirect |
| 8. #423×C103 | C2 | semidirect |
| 11. #15693021 | C22 | semidirect |
| 12. #15693021 | C22 | semidirect |
| 13. #15693013 | C22 | semidirect |
| 25. #15692955 | C22 | semidirect |
| 26. #15692953 | C22 | semidirect |
| 31. C4⋊C8×C103 | C22 | semidirect |
| 32. C4⋊C8×C103 | C22 | semidirect |
| 38. C2×D412 | Q8 | semidirect |
| 116. C103 | #3077 | semidirect |
| 123. #423 | D103 | semidirect |
| 145. C4⋊C8 | C2×D103 | semidirect |
| 146. C4⋊C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268348 | 2 |
| C2×C4×D412 | 2 |
| #20268092 | 2 |
| #20268082 | 2 |
| #20268072 | 2 |
| #20267833 | 2 |
| #20267797 | 2 |
| #423×C103 | 2 |
| #3077 | 103 |