Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14556622 | C2 | semidirect |
| 3. C2×#14556518 | C2 | semidirect |
| 4. C2×#14556517 | C2 | semidirect |
| 5. #17988494 | C2 | semidirect |
| 6. #17988355 | C2 | semidirect |
| 7. C2×#137×C73 | C2 | semidirect |
| 45. #11924012 | D4 | semidirect |
| 64. C2×Q8×C73 | D4 | semidirect |
| 73. M16×C73 | D4 | semidirect |
| 145. C73 | #2007 | semidirect |
| 147. C2×#137 | D73 | semidirect |
| 191. C2×Q8 | C22⋊D73 | semidirect |
| 210. M16 | C22⋊D73 | semidirect |