Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #20265202 | C2 | semidirect |
| 4. #20265201 | C2 | semidirect |
| 5. #20265200 | C2 | semidirect |
| 6. #423×C101 | C2 | semidirect |
| 17. C4⋊#11717579 | C22 | semidirect |
| 18. #15692184 | C22 | semidirect |
| 21. C4⋊C8×C101 | C22 | semidirect |
| 79. C101 | #2905 | semidirect |
| 85. #423 | D101 | semidirect |
| 100. C4⋊C8 | C2×D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D101 | 2 |
| C2×#15692212 | 2 |
| #20265202 | 2 |
| #20265201 | 2 |
| #20265200 | 2 |
| #423×C101 | 2 |
| #2905 | 101 |