Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
180 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 59 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×#10596842 | C2 | semidirect |
| 3. #17989676 | C2 | semidirect |
| 4. Q8⋊#10596842 | C2 | semidirect |
| 6. C8×#10596842 | C2 | semidirect |
| 39. #11924017 | C8 | semidirect |
| 40. #11924016 | C8 | semidirect |
| 41. #11924015 | C8 | semidirect |
| 43. SD16×C73 | C8 | semidirect |
| 55. #10596842 | SD16 | direct (N × H) |
| 56. Q8×C73 | C2×C8 | semidirect |
| 63. Dic146 | C2×C8 | semidirect |
| 65. C8×C73 | C2×C8 | semidirect |
| 66. #10596831 | C2×C8 | semidirect |
| 87. C73 | C8×SD16 | semidirect |
| 116. SD16 | #10596842 | direct (N × H) |
| 134. Q8 | C2×#10596842 | semidirect |
| 153. C8 | C2×#10596842 | semidirect |