Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
224 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 9. #22576094 | C4 | semidirect |
| 10. #22576092 | C4 | semidirect |
| 12. #22576070 | C4 | semidirect |
| 16. #108×C271 | C4 | semidirect |
| 62. C271 | #1773 | semidirect |
| 74. #108 | Dic271 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31773935 | 2 |
| #31773855 | 2 |
| C2×#22576070 | 2 |
| #31773658 | 2 |
| C2×#108×C271 | 2 |
| #1773 | 271 |