Finite Group DatabasebetaFinite Group DatabasebetaOrder 11584.
120 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 42 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. Q8×#10624382 | C2 | semidirect |
| 3. #19153885 | C2 | semidirect |
| 4. #19153879 | C2 | semidirect |
| 6. #19153870 | C2 | semidirect |
| 18. #15668438 | C4 | semidirect |
| 19. #15668437 | C4 | semidirect |
| 20. #15668436 | C4 | semidirect |
| 22. SD16×C181 | C4 | semidirect |
| 31. Dic362 | C2×C4 | semidirect |
| 36. #13089678 | C2×C4 | semidirect |
| 37. Q8×C181 | C2×C4 | semidirect |
| 39. C8×C181 | C2×C4 | semidirect |
| 58. C181 | #440 | semidirect |
| 73. SD16 | #10624382 | semidirect |
| 85. Q8 | C2×#10624382 | semidirect |
| 98. C8 | C2×#10624382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#10624382 | 2 |
| D4×#10624382 | 2 |
| #19153885 | 2 |
| #19153879 | 2 |
| #19153878 | 2 |
| #19153870 | 2 |
| SD16×D181 | 2 |
| #440 | 181 |