Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
492 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 175 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. C4×#67292 | C2 | semidirect |
| 3. #13092530 | C2 | semidirect |
| 4. #13092528 | C2 | semidirect |
| 5. #13092524 | C2 | semidirect |
| 6. #13092520 | C2 | semidirect |
| 7. #13092515 | C2 | semidirect |
| 8. #13092452 | C2 | semidirect |
| 9. #13092412 | C2 | semidirect |
| 10. #97×D23 | C2 | semidirect |
| 11. C23×#441 | C2 | semidirect |
| 17. #10625090 | C4 | semidirect |
| 42. #67292 | C2×C4 | semidirect |
| 50. Q16×C23 | C2×C4 | semidirect |
| 57. #67274 | C2×C4 | semidirect |
| 69. D184 | C2×C4 | semidirect |
| 71. C8×D23 | C2×C4 | semidirect |
| 116. #441 | D23 | semidirect |
| 154. C23 | #2943 | semidirect |
| 165. Q16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625090 | 2 |
| C4×#67292 | 2 |
| #13092530 | 2 |
| #13092528 | 2 |
| #13092524 | 2 |
| #13092520 | 2 |
| #13092515 | 2 |
| #13092452 | 2 |
| #13092412 | 2 |
| #97×D23 | 2 |
| C23×#441 | 2 |
| #2943 | 23 |