Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
816 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 229 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. C22×#67262 | C2 | semidirect |
| 3. C2×C4⋊C4×D23 | C2 | semidirect |
| 4. #13092417 | C2 | direct (N × H) |
| 5. C2×#10625017 | C2 | semidirect |
| 6. C2×#10625003 | C2 | semidirect |
| 7. C2×#10624991 | C2 | semidirect |
| 8. C2×C23×#103 | C2 | semidirect |
| 12. C2×#67292 | C4 | semidirect |
| 25. C2×#67262 | C22 | semidirect |
| 27. C4⋊C4×D23 | C22 | semidirect |
| 28. C23×#103 | C22 | semidirect |
| 29. #10625017 | C22 | semidirect |
| 30. #10625003 | C22 | semidirect |
| 31. #10624991 | C22 | semidirect |
| 36. C2×Q8×C23 | C2×C4 | semidirect |
| 45. #67292 | C2×C4 | semidirect |
| 50. C2×D92 | C2×C4 | semidirect |
| 81. Q8×C23 | C22×C4 | semidirect |
| 97. D92 | C22×C4 | semidirect |
| 130. C2×#103 | D23 | semidirect |
| 133. C2×C23 | #417 | semidirect |
| 159. #103 | C2×D23 | semidirect |
| 162. C23 | C2×#417 | semidirect |
| 170. C2×Q8 | C4×D23 | semidirect |
| 212. Q8 | C2×C4×D23 | semidirect |
| 257. C2 | #13092417 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67292 | 2 |
| C22×#67262 | 2 |
| C2×C4⋊C4×D23 | 2 |
| #13092417 | 2 |
| C2×#10625017 | 2 |
| C2×#10625003 | 2 |
| C2×#10624991 | 2 |
| C2×C23×#103 | 2 |
| C2×#417 | 23 |