Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
936 conjugacy classes of subgroups; only the 285 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 285 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×#10625097 | C2 | semidirect |
| 3. #13092323 | C2 | semidirect |
| 4. #13092319 | C2 | semidirect |
| 5. #13092296 | C2 | semidirect |
| 6. C4×(C2×D23)⋊C4 | C2 | semidirect |
| 7. C22×C42×C23 | C2 | semidirect |
| 13. C2×#67288 | C4 | semidirect |
| 44. C2×D92 | C2×C4 | semidirect |
| 47. C2×C4×D23 | C2×C4 | semidirect |
| 50. C2×Dic46 | C2×C4 | semidirect |
| 69. C2×C4×C23 | C22⋊C4 | semidirect |
| 76. C2×C4×C23 | #41 | semidirect |
| 106. C22×C42 | D23 | semidirect |
| 135. C23 | #2297 | semidirect |
| 188. C2×C4 | (C2×D23)⋊C4 | semidirect |
| 193. C2×C4 | #67288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67288 | 2 |
| C2×#10625097 | 2 |
| #13092323 | 2 |
| #13092319 | 2 |
| #13092296 | 2 |
| C4×(C2×D23)⋊C4 | 2 |
| C22×C42×C23 | 2 |
| #2297 | 23 |