Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
480 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 173 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. #13092704 | C2 | direct (N × H) |
| 3. C2×#10624990 | C2 | semidirect |
| 4. C2×C4⋊(C23⋊C8) | C2 | semidirect |
| 6. C2×C23×C4⋊Q8 | C2 | semidirect |
| 11. C23×C4⋊Q8 | C22 | semidirect |
| 21. #10624990 | C22 | semidirect |
| 22. C4⋊(C23⋊C8) | C22 | semidirect |
| 33. C2×D92 | Q8 | semidirect |
| 67. D92 | C2×Q8 | semidirect |
| 86. C2×C4⋊Q8 | D23 | semidirect |
| 92. C2×C23 | #476 | semidirect |
| 102. C4⋊Q8 | C2×D23 | semidirect |
| 113. C23 | C2×#476 | semidirect |
| 177. C2 | #13092704 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D92 | 2 |
| #13092704 | 2 |
| C2×#10624990 | 2 |
| C2×C4⋊(C23⋊C8) | 2 |
| C2×#10624991 | 2 |
| C2×C23×C4⋊Q8 | 2 |
| C2×#476 | 23 |