Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
560 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 185 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. #20265081 | C2 | semidirect |
| 3. #20265068 | C2 | semidirect |
| 4. #20265066 | C2 | semidirect |
| 6. C4×#13108051 | C2 | semidirect |
| 7. #20265024 | C2 | semidirect |
| 8. #20265023 | C2 | semidirect |
| 9. #376×C101 | C2 | semidirect |
| 13. #15692243 | C4 | semidirect |
| 35. C2×Dic202 | C2×C4 | semidirect |
| 49. #13108051 | C2×C4 | semidirect |
| 50. #13108051 | C2×C4 | semidirect |
| 59. C42×C101 | C2×C4 | semidirect |
| 120. C101 | #2372 | semidirect |
| 129. #376 | D101 | semidirect |
| 179. C42 | C4×D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692243 | 2 |
| #20265081 | 2 |
| #20265068 | 2 |
| #20265066 | 2 |
| #20265055 | 2 |
| C4×#13108051 | 2 |
| #20265024 | 2 |
| #20265023 | 2 |
| #376×C101 | 2 |
| #2372 | 101 |