Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#15692288 | C2 | semidirect |
| 2. C2×#15692285 | C2 | semidirect |
| 4. C2×#15692220 | C2 | semidirect |
| 5. #20265402 | C2 | semidirect |
| 6. #20265398 | C2 | semidirect |
| 7. #20265386 | C2 | semidirect |
| 8. #20265376 | C2 | semidirect |
| 9. #20265200 | C2 | semidirect |
| 10. #20265176 | C2 | semidirect |
| 11. #417×C101 | C2 | semidirect |
| 49. C2×Dic202 | D4 | semidirect |
| 150. Dic101 | #137 | semidirect |
| 158. C101 | #3037 | semidirect |
| 169. #417 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692288 | 2 |
| C2×#15692285 | 2 |
| #20265723 | 2 |
| C2×#15692220 | 2 |
| #20265402 | 2 |
| #20265398 | 2 |
| #20265386 | 2 |
| #20265376 | 2 |
| #20265200 | 2 |
| #20265176 | 2 |
| #417×C101 | 2 |
| #3037 | 101 |