Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
344 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 87 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×C4⋊#10596842 | C2 | semidirect |
| 2. C2×C4×#10596842 | C2 | semidirect |
| 3. D4⋊#10596842 | C2 | direct (N × H) |
| 8. C4⋊#10596842 | C22 | semidirect |
| 10. C4×#10596842 | C22 | semidirect |
| 40. C2×D292 | C8 | semidirect |
| 44. D4×D73 | C8 | semidirect |
| 47. C2×D4×C73 | C8 | semidirect |
| 70. D4×C73 | C2×C8 | semidirect |
| 76. D292 | C2×C8 | semidirect |
| 104. C2×C73 | D4⋊C8 | semidirect |
| 107. D73 | D4⋊C8 | semidirect |
| 111. C73 | C2×D4⋊C8 | semidirect |
| 138. C2×D4 | #10596842 | semidirect |
| 171. D4 | C2×#10596842 | semidirect |
| 219. C2 | D4⋊#10596842 | direct (N × H) |