Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
484 conjugacy classes of subgroups; only the 297 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 297 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. #13092444 | C2 | semidirect |
| 3. #13092441 | C2 | semidirect |
| 4. C2×C4⋊(C23⋊C8) | C2 | semidirect |
| 62. C4×C23 | #131 | semidirect |
| 88. C23 | #2906 | semidirect |
| 130. C4 | #10625119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625119 | 2 |
| #13092444 | 2 |
| #13092441 | 2 |
| C2×C4⋊(C23⋊C8) | 2 |
| C4×#41×C23 | 2 |
| #2906 | 23 |