Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
436 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 149 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. #13092779 | C2 | direct (N × H) |
| 3. C2×#10624992 | C2 | semidirect |
| 5. C2×#10624985 | C2 | semidirect |
| 6. C2×C23×C4⋊Q8 | C2 | semidirect |
| 11. C23×C4⋊Q8 | C22 | semidirect |
| 20. #10624992 | C22 | semidirect |
| 22. #10624985 | C22 | semidirect |
| 83. C2×C4⋊Q8 | D23 | semidirect |
| 89. C2×C23 | #489 | semidirect |
| 99. C4⋊Q8 | C2×D23 | semidirect |
| 110. C23 | C2×#489 | semidirect |
| 171. C2 | #13092779 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625046 | 2 |
| #13092779 | 2 |
| C2×#10624992 | 2 |
| C2×#10624991 | 2 |
| C2×#10624985 | 2 |
| C2×C23×C4⋊Q8 | 2 |
| C2×#489 | 23 |