Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 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. #20265657 | C2 | semidirect |
| 3. #20265290 | C2 | semidirect |
| 4. #20265285 | C2 | semidirect |
| 5. C4×#13108063 | C2 | semidirect |
| 6. C2×#15692187 | C2 | semidirect |
| 7. #20265179 | C2 | semidirect |
| 8. #405×C101 | C2 | semidirect |
| 10. #15692277 | C4 | semidirect |
| 30. #13108074 | C2×C4 | semidirect |
| 37. Dic404 | C2×C4 | semidirect |
| 38. #13108063 | C2×C4 | semidirect |
| 39. D808 | C2×C4 | semidirect |
| 47. C2×C8×C101 | C2×C4 | semidirect |
| 91. C101 | #2952 | semidirect |
| 99. #405 | D101 | semidirect |
| 133. C2×C8 | C4×D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692277 | 2 |
| #20265657 | 2 |
| #20265290 | 2 |
| #20265285 | 2 |
| C4×#13108063 | 2 |
| C2×#15692187 | 2 |
| #20265179 | 2 |
| #405×C101 | 2 |
| #2952 | 101 |