Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14583826 | C2 | semidirect |
| 2. #19149710 | C2 | semidirect |
| 3. #19149709 | C2 | semidirect |
| 4. #19149705 | C2 | semidirect |
| 5. #19149704 | C2 | semidirect |
| 6. #19149699 | C2 | semidirect |
| 7. C2×#14583810 | C2 | semidirect |
| 8. C2×#41×C173 | C2 | semidirect |
| 12. #14583826 | C22 | semidirect |
| 13. C2×Dic346 | C22 | semidirect |
| 14. C2×D692 | C22 | semidirect |
| 17. #14583816 | C22 | semidirect |
| 18. #14583814 | C22 | semidirect |
| 19. #14583813 | C22 | semidirect |
| 20. #14583811 | C22 | semidirect |
| 21. #14583810 | C22 | semidirect |
| 22. #14583810 | C22 | semidirect |
| 23. C2×#13063436 | C22 | semidirect |
| 27. #41×C173 | C22 | semidirect |
| 28. C2×Q8×C173 | C22 | semidirect |
| 30. C2×D4×C173 | C22 | semidirect |
| 81. C173 | #575 | semidirect |
| 84. C2×#41 | D173 | semidirect |
| 98. #41 | C2×D173 | semidirect |
| 100. C2×Q8 | C2×D173 | semidirect |
| 104. C2×D4 | C2×D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583826 | 2 |
| #19149710 | 2 |
| #19149709 | 2 |
| #19149705 | 2 |
| #19149704 | 2 |
| #19149699 | 2 |
| C2×#14583810 | 2 |
| C2×#41×C173 | 2 |
| #575 | 173 |