Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
190 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 54 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×C4⋊#10597010 | C2 | semidirect |
| 4. C2×C4×#10597010 | C2 | semidirect |
| 5. (C2×#10597010)⋊C4 | C2 | semidirect |
| 6. (C2×#10597010)⋊C4 | C2 | semidirect |
| 19. C22⋊Dic149 | C4 | semidirect |
| 20. #14558713 | C4 | semidirect |
| 21. #14558713 | C4 | semidirect |
| 22. C22⋊C4×C149 | C4 | semidirect |
| 86. C149 | #388 | semidirect |
| 108. C22⋊C4 | #10597010 | semidirect |