Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
412 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20265575 | C2 | semidirect |
| 4. #20265527 | C2 | semidirect |
| 5. #20265523 | C2 | semidirect |
| 6. #20265403 | C2 | semidirect |
| 7. SD16×Dic101 | C2 | semidirect |
| 8. C4×C8×D101 | C2 | semidirect |
| 9. #492×C101 | C2 | semidirect |
| 86. C4×D101 | SD16 | semidirect |
| 89. C8×C101 | #41 | semidirect |
| 113. C101 | #3167 | semidirect |
| 117. #492 | D101 | semidirect |
| 203. C8 | #13108073 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265732 | 2 |
| #20265725 | 2 |
| #20265575 | 2 |
| #20265527 | 2 |
| #20265523 | 2 |
| #20265403 | 2 |
| SD16×Dic101 | 2 |
| C4×C8×D101 | 2 |
| #492×C101 | 2 |
| #3167 | 101 |