Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
210 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20268226 | C2 | semidirect |
| 2. C2×#15692964 | C2 | semidirect |
| 3. #20268061 | C2 | semidirect |
| 4. #20267607 | C2 | semidirect |
| 5. #20267598 | C2 | semidirect |
| 6. #20267575 | C2 | semidirect |
| 7. #578×C103 | C2 | semidirect |
| 91. C103 | #2193 | semidirect |
| 92. #578 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268226 | 2 |
| C2×#15692964 | 2 |
| #20268061 | 2 |
| #20267607 | 2 |
| #20267598 | 2 |
| #20267575 | 2 |
| #578×C103 | 2 |
| #2193 | 103 |