Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
364 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. #20265732 | C2 | semidirect |
| 3. #20265586 | C2 | semidirect |
| 4. #20265545 | C2 | semidirect |
| 5. #20265536 | C2 | semidirect |
| 6. #20265432 | C2 | semidirect |
| 8. Q16×Dic101 | C2 | semidirect |
| 9. SD16×Dic101 | C2 | semidirect |
| 10. #20265129 | C2 | semidirect |
| 11. #497×C101 | C2 | semidirect |
| 130. C101 | #3172 | semidirect |
| 134. #497 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265732 | 2 |
| #20265706 | 2 |
| #20265586 | 2 |
| #20265545 | 2 |
| #20265536 | 2 |
| #20265432 | 2 |
| #20265420 | 2 |
| Q16×Dic101 | 2 |
| SD16×Dic101 | 2 |
| #20265129 | 2 |
| #497×C101 | 2 |
| #3172 | 101 |