Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×Q16×D73 | C2 | semidirect |
| 3. #17988965 | C2 | semidirect |
| 4. #17988828 | C2 | semidirect |
| 5. #17988825 | C2 | semidirect |
| 6. #17988795 | C2 | semidirect |
| 7. #17988743 | C2 | semidirect |
| 8. #17988741 | C2 | semidirect |
| 9. Q16×Dic73 | C2 | semidirect |
| 11. C22×Q16×C73 | C2 | semidirect |
| 76. Q16×C73 | D4 | semidirect |
| 94. C22⋊D73 | Q16 | direct (N × H) |
| 112. C22×C73 | C2×Q16 | semidirect |
| 116. C2×D73 | C2×Q16 | semidirect |
| 126. Dic73 | C2×Q16 | semidirect |
| 133. C73 | D4×Q16 | semidirect |
| 135. C22×Q16 | D73 | semidirect |
| 193. Q16 | C22⋊D73 | direct (N × H) |
| 248. C22 | Q16×D73 | semidirect |