Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20268557 | C2 | semidirect |
| 3. #20267797 | C2 | semidirect |
| 4. #20267795 | C2 | semidirect |
| 5. #20267764 | C2 | semidirect |
| 6. #20267547 | C2 | semidirect |
| 7. H(3,ℤ/4)×C103 | C2 | semidirect |
| 14. #15693018 | C4 | semidirect |
| 15. #15693009 | C4 | semidirect |
| 44. C2×C103⋊C8 | D4 | semidirect |
| 53. C2×C8×C103 | D4 | semidirect |
| 116. C103 | #1910 | semidirect |
| 123. H(3,ℤ/4) | D103 | semidirect |
| 165. C2×C8 | D412 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268557 | 2 |
| #20268360 | 2 |
| #20267797 | 2 |
| #20267795 | 2 |
| #20267764 | 2 |
| #20267547 | 2 |
| H(3,ℤ/4)×C103 | 2 |
| #1910 | 103 |