Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
240 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. #20267538 | C2 | semidirect |
| 5. #20267537 | C2 | semidirect |
| 6. #20267536 | C2 | semidirect |
| 7. #332×C103 | C2 | semidirect |
| 92. C103 | #1546 | semidirect |
| 99. #332 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Q8×D103 | 2 |
| #20267843 | 2 |
| #20267813 | 2 |
| #20267538 | 2 |
| #20267537 | 2 |
| #20267536 | 2 |
| #332×C103 | 2 |
| #1546 | 103 |