Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. #17988874 | C2 | semidirect |
| 3. #17988872 | C2 | semidirect |
| 4. #17988818 | C2 | semidirect |
| 5. #17988789 | C2 | semidirect |
| 6. #17988787 | C2 | semidirect |
| 7. C2×C4⋊#10596831 | C2 | semidirect |
| 8. #533×C73 | C2 | semidirect |
| 74. C2×C4×C73 | SD16 | semidirect |
| 113. C73 | #3246 | semidirect |
| 114. #533 | D73 | semidirect |
| 195. C2×C4 | #11924015 | semidirect |