Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
448 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 157 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. #13092714 | C2 | direct (N × H) |
| 3. C2×#10624989 | C2 | semidirect |
| 4. C2×#10624990 | C2 | semidirect |
| 5. C2×C4⋊(C23⋊C8) | C2 | semidirect |
| 8. C2×C23×#125 | C2 | semidirect |
| 12. C23×#125 | C22 | semidirect |
| 26. #10624990 | C22 | semidirect |
| 27. #10624989 | C22 | semidirect |
| 28. C4⋊(C23⋊C8) | C22 | semidirect |
| 99. C2×#125 | D23 | semidirect |
| 107. C2×C23 | #478 | semidirect |
| 117. #125 | C2×D23 | semidirect |
| 132. C23 | C2×#478 | semidirect |
| 203. C2 | #13092714 | 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 |
| #13092714 | 2 |
| C2×#10624989 | 2 |
| C2×#10624990 | 2 |
| C2×C4⋊(C23⋊C8) | 2 |
| C2×#10624991 | 2 |
| C2×C23×#125 | 2 |
| C2×#478 | 23 |