Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
552 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 101 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×#15692948 | C2 | semidirect |
| 3. C2×#15692947 | C2 | semidirect |
| 4. #20267790 | C2 | semidirect |
| 5. C2×#15692939 | C2 | semidirect |
| 6. #20267696 | C2 | semidirect |
| 7. #417×C103 | C2 | semidirect |
| 11. #15693068 | C4 | semidirect |
| 155. C103 | #1793 | semidirect |
| 160. #417 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693068 | 2 |
| C2×#15692948 | 2 |
| C2×#15692947 | 2 |
| #20267790 | 2 |
| C2×#15692939 | 2 |
| #20267696 | 2 |
| #417×C103 | 2 |
| #1793 | 103 |