Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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. Q8×Dic206 | C2 | semidirect |
| 3. #20268137 | C2 | semidirect |
| 4. #20268136 | C2 | semidirect |
| 5. #20268082 | C2 | semidirect |
| 6. #20268079 | C2 | semidirect |
| 7. #20267989 | C2 | semidirect |
| 8. #20267915 | C2 | semidirect |
| 9. SD16×Dic103 | C2 | semidirect |
| 10. C4×#13110092 | C2 | semidirect |
| 11. #460×C103 | C2 | semidirect |
| 77. Q8×C103 | #41 | semidirect |
| 99. Dic206 | SD16 | semidirect |
| 126. C103 | #3362 | semidirect |
| 134. #460 | D103 | semidirect |
| 206. Q8 | #13110104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic206 | 2 |
| #20268461 | 2 |
| #20268137 | 2 |
| #20268136 | 2 |
| #20268082 | 2 |
| #20268079 | 2 |
| #20267989 | 2 |
| #20267915 | 2 |
| SD16×Dic103 | 2 |
| C4×#13110092 | 2 |
| #460×C103 | 2 |
| #3362 | 103 |