Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
234 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 77 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×C4⋊Dic149 | C2 | semidirect |
| 3. C2×#14558715 | C2 | semidirect |
| 6. #18011818 | C2 | semidirect |
| 7. #95×C149 | C2 | semidirect |
| 18. #14558713 | C4 | semidirect |
| 36. C2×Dic149 | C2×C4 | semidirect |
| 47. C2×C4×C149 | C2×C4 | semidirect |
| 62. C2×D149 | C4⋊C4 | semidirect |
| 77. C149 | #385 | semidirect |
| 85. #95 | D149 | semidirect |
| 125. C2×C4 | C4×D149 | semidirect |