Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 123 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×#15692278 | C2 | semidirect |
| 2. C2×#15692277 | C2 | semidirect |
| 3. #20265829 | C2 | semidirect |
| 4. #20265555 | C2 | semidirect |
| 5. #20265419 | C2 | semidirect |
| 6. #20265381 | C2 | semidirect |
| 7. #20265342 | C2 | semidirect |
| 8. #20265337 | C2 | semidirect |
| 9. #20265259 | C2 | semidirect |
| 10. C8×C22⋊D101 | C2 | semidirect |
| 11. #467×C101 | C2 | semidirect |
| 58. D808 | D4 | semidirect |
| 129. Dic101 | #135 | semidirect |
| 137. C101 | #3283 | semidirect |
| 143. #467 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692278 | 2 |
| C2×#15692277 | 2 |
| #20265829 | 2 |
| #20265555 | 2 |
| #20265419 | 2 |
| #20265381 | 2 |
| #20265342 | 2 |
| #20265337 | 2 |
| #20265259 | 2 |
| C8×C22⋊D101 | 2 |
| #467×C101 | 2 |
| #3283 | 101 |