Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
316 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 84 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×#14556660 | C2 | semidirect |
| 2. C2×#14556659 | C2 | semidirect |
| 4. #17989461 | C2 | semidirect |
| 13. C2×#11924012 | C4 | semidirect |
| 14. C2×#11924011 | C4 | semidirect |
| 15. C2×#11924011 | C4 | semidirect |
| 20. C2×M16×C73 | C4 | semidirect |
| 83. C8×C73 | C22⋊C4 | semidirect |
| 85. #10596831 | C22⋊C4 | semidirect |
| 114. C73 | #1809 | semidirect |
| 126. C2×M16 | #64408 | semidirect |
| 199. C8 | C22⋊#64408 | semidirect |