Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
336 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#14556519 | C2 | semidirect |
| 3. C4×#11924012 | C2 | semidirect |
| 4. C4×C4⋊C4×C73 | C2 | semidirect |
| 7. #14556591 | C4 | semidirect |
| 8. #14556588 | C4 | semidirect |
| 9. #14556579 | C4 | semidirect |
| 30. #11924012 | D4 | semidirect |
| 82. C4×C73 | #104 | semidirect |
| 93. C73 | #1980 | semidirect |
| 97. C4×C4⋊C4 | D73 | semidirect |
| 176. C4 | #14556519 | semidirect |