Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 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 |
|---|---|---|
| 3. #17988859 | C2 | direct (N × H) |
| 4. C2×#14556527 | C2 | semidirect |
| 5. C2×#14556510 | C2 | semidirect |
| 6. C22×Q16×C73 | C2 | semidirect |
| 18. #14556527 | C22 | semidirect |
| 19. #14556510 | C22 | semidirect |
| 24. C2×Q16×C73 | C22 | semidirect |
| 100. C2×C73 | #473 | semidirect |
| 104. C73 | C2×#473 | semidirect |
| 106. C22×Q16 | D73 | semidirect |
| 119. C2×Q16 | C2×D73 | semidirect |
| 205. C2 | #17988859 | direct (N × H) |