Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
284 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 67 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. #97×D23 | C2 | semidirect |
| 3. #13092157 | C2 | semidirect |
| 4. #13092156 | C2 | semidirect |
| 5. C23×#329 | C2 | semidirect |
| 16. C23×#97 | C22 | semidirect |
| 18. #10624985 | C22 | semidirect |
| 82. #329 | D23 | direct (N × H) |
| 87. D23 | #329 | direct (N × H) |
| 100. #97 | C2×D23 | semidirect |
| 101. C23 | C2×#329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×D23 | 2 |
| #97×D23 | 2 |
| #13092157 | 2 |
| #13092156 | 2 |
| C23×#329 | 2 |
| C2×#329 | 23 |