Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
106 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 40 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. #19149767 | C2 | semidirect |
| 2. #19149766 | C2 | semidirect |
| 3. #19149749 | C2 | semidirect |
| 4. #19149744 | C2 | semidirect |
| 5. #19149743 | C2 | semidirect |
| 6. C8×#10621924 | C2 | semidirect |
| 18. #14583816 | C4 | semidirect |
| 19. #14583815 | C4 | semidirect |
| 20. #14583811 | C4 | semidirect |
| 22. SD16×C173 | C4 | semidirect |
| 51. C173 | #443 | semidirect |
| 64. SD16 | #10621924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149767 | 2 |
| #19149766 | 2 |
| #19149749 | 2 |
| #19149744 | 2 |
| #19149743 | 2 |
| C8×#10621924 | 2 |
| #19149700 | 2 |
| #443 | 173 |