Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
708 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 708 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. C2×#10625080 | C2 | semidirect |
| 3. C2×#10625115 | C2 | semidirect |
| 4. #13092602 | C2 | direct (N × H) |
| 5. C2×#10625007 | C2 | semidirect |
| 6. C2×C23×#101 | C2 | semidirect |
| 18. #10625115 | C22 | semidirect |
| 22. #10625080 | C22 | semidirect |
| 25. C23×#101 | C22 | semidirect |
| 26. #10625007 | C22 | semidirect |
| 113. C2×#101 | D23 | semidirect |
| 116. C2×C23 | #456 | semidirect |
| 138. #101 | C2×D23 | semidirect |
| 139. C23 | C2×#456 | semidirect |
| 223. C2 | #13092602 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625158 | 2 |
| C2×#10625080 | 2 |
| C2×#10625115 | 2 |
| #13092602 | 2 |
| C2×#10625007 | 2 |
| C2×C23×#101 | 2 |
| C2×#456 | 23 |