Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
368 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 145 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. #20268194 | C2 | semidirect |
| 3. #20268170 | C2 | semidirect |
| 4. #20268143 | C2 | semidirect |
| 5. #20268141 | C2 | semidirect |
| 7. C4×#13110095 | C2 | semidirect |
| 73. C2×C4×C103 | Q16 | semidirect |
| 105. C103 | #3170 | semidirect |
| 182. C2×C4 | #13110095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268348 | 2 |
| #20268194 | 2 |
| #20268170 | 2 |
| #20268143 | 2 |
| #20268141 | 2 |
| #20268030 | 2 |
| C4×#13110095 | 2 |
| C2×C4×C103⋊C8 | 2 |
| #533×C103 | 2 |
| #3170 | 103 |