Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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×#15693052 | C2 | semidirect |
| 3. C2×#15693052 | C2 | semidirect |
| 4. #20268557 | C2 | semidirect |
| 5. #20268065 | C2 | semidirect |
| 6. #20268057 | C2 | semidirect |
| 7. #20267839 | C2 | semidirect |
| 8. #20267773 | C2 | semidirect |
| 9. C2×#101×C103 | C2 | semidirect |
| 22. C2×#13110095 | C22 | semidirect |
| 24. C2×#13110092 | C22 | semidirect |
| 30. #15692956 | C22 | semidirect |
| 31. #15692939 | C22 | semidirect |
| 32. #15692937 | C22 | semidirect |
| 36. #101×C103 | C22 | semidirect |
| 143. C103 | #3069 | semidirect |
| 152. C2×#101 | D103 | semidirect |
| 178. #101 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268591 | 2 |
| C2×#15693052 | 2 |
| #20268557 | 2 |
| #20268065 | 2 |
| #20268057 | 2 |
| #20267839 | 2 |
| #20267773 | 2 |
| C2×#101×C103 | 2 |
| #3069 | 103 |