Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
456 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 175 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 |
|---|---|---|
| 3. #20267899 | C2 | semidirect |
| 4. #20267898 | C2 | semidirect |
| 5. #20267897 | C2 | semidirect |
| 6. C4×#13110095 | C2 | semidirect |
| 7. #20267883 | C2 | semidirect |
| 11. #441×C103 | C2 | semidirect |
| 15. Q16×D103 | C4 | semidirect |
| 109. C103 | #2950 | semidirect |
| 115. #441 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D103 | 2 |
| #20268267 | 2 |
| #20267899 | 2 |
| #20267898 | 2 |
| #20267897 | 2 |
| C4×#13110095 | 2 |
| #20267883 | 2 |
| #20267826 | 2 |
| #20267798 | 2 |
| #20267748 | 2 |
| #441×C103 | 2 |
| #2950 | 103 |