Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#15692949 | C2 | semidirect |
| 3. #20267793 | C2 | semidirect |
| 4. #20267792 | C2 | semidirect |
| 5. #20267657 | C2 | semidirect |
| 6. #20267559 | C2 | semidirect |
| 7. C2×#104×C103 | C2 | semidirect |
| 62. C42×C103 | D4 | semidirect |
| 128. C103 | #2040 | semidirect |
| 131. C2×#104 | D103 | semidirect |
| 190. C42 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268369 | 2 |
| C2×#15692949 | 2 |
| #20267793 | 2 |
| #20267792 | 2 |
| #20267657 | 2 |
| #20267559 | 2 |
| C2×#104×C103 | 2 |
| #2040 | 103 |