Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
784 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 4. #20267698 | C2 | semidirect |
| 5. #20267697 | C2 | semidirect |
| 6. #20267696 | C2 | semidirect |
| 7. #20267695 | C2 | semidirect |
| 9. #391×C103 | C2 | semidirect |
| 14. C2×Q8×D103 | C4 | semidirect |
| 123. C103 | #2310 | semidirect |
| 131. #391 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Q8×D103 | 2 |
| C2×#15692979 | 2 |
| C2×#15692978 | 2 |
| #20267698 | 2 |
| #20267697 | 2 |
| #20267696 | 2 |
| #20267695 | 2 |
| #20267653 | 2 |
| #391×C103 | 2 |
| #2310 | 103 |