Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
444 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 83 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. #20268265 | C2 | semidirect |
| 3. #20267796 | C2 | semidirect |
| 4. C2×#15692937 | C2 | semidirect |
| 5. #20267552 | C2 | semidirect |
| 6. #20267550 | C2 | semidirect |
| 7. #418×C103 | C2 | semidirect |
| 12. #15693017 | C4 | semidirect |
| 38. C4⋊Dic103 | D4 | semidirect |
| 43. C4×Dic103 | C2×C4 | semidirect |
| 50. C2×D4×C103 | C2×C4 | semidirect |
| 55. C4⋊C4×C103 | D4 | semidirect |
| 115. C103 | #1887 | semidirect |
| 119. #418 | D103 | semidirect |
| 154. C2×D4 | C4×D103 | semidirect |
| 165. C4⋊C4 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693017 | 2 |
| #20268265 | 2 |
| #20267796 | 2 |
| C2×#15692937 | 2 |
| #20267552 | 2 |
| #20267550 | 2 |
| #418×C103 | 2 |
| #1887 | 103 |