Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
300 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20267554 | C2 | semidirect |
| 5. #20267553 | C2 | semidirect |
| 6. #20267553 | C2 | semidirect |
| 7. #340×C103 | C2 | semidirect |
| 11. #15692979 | C4 | semidirect |
| 119. C103 | #1825 | semidirect |
| 126. #340 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692979 | 2 |
| C2×(C2×D103)⋊C8 | 2 |
| #20267648 | 2 |
| #20267554 | 2 |
| #20267553 | 2 |
| #340×C103 | 2 |
| #1825 | 103 |