Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20268095 | C2 | semidirect |
| 3. #20268095 | C2 | semidirect |
| 4. #20268083 | C2 | semidirect |
| 5. #20268073 | C2 | semidirect |
| 43. C2×Dic206 | Q8 | semidirect |
| 117. C103 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268268 | 2 |
| #20268095 | 2 |
| #20268083 | 2 |
| #20268073 | 2 |
| #20267831 | 2 |
| #20267827 | 2 |
| #20267818 | 2 |
| #20267799 | 2 |
| C2×#15692944 | 2 |
| #544×C103 | 2 |
| #3082 | 103 |