Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
600 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 229 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. #20265074 | C2 | semidirect |
| 6. #20265047 | C2 | semidirect |
| 7. #20265046 | C2 | semidirect |
| 8. #20265042 | C2 | semidirect |
| 9. #382×C101 | C2 | semidirect |
| 13. #15692212 | C4 | semidirect |
| 45. #13108053 | C2×C4 | semidirect |
| 49. C4×Dic101 | C2×C4 | semidirect |
| 56. C42×C101 | C2×C4 | semidirect |
| 84. C4×D101 | C4⋊C4 | semidirect |
| 110. C101 | #2317 | semidirect |
| 119. #382 | D101 | semidirect |
| 166. C42 | C4×D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692213 | 2 |
| C2×#15692212 | 2 |
| C2×C4⋊C4×D101 | 2 |
| #20265074 | 2 |
| #20265051 | 2 |
| #20265047 | 2 |
| #20265046 | 2 |
| #20265042 | 2 |
| #382×C101 | 2 |
| #2317 | 101 |