Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
310 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 155 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. #13050129 | C2 | semidirect |
| 3. #13050126 | C2 | semidirect |
| 4. #13050124 | C2 | semidirect |
| 5. #13050121 | C2 | semidirect |
| 6. C2×C4×Dic41 | C2 | semidirect |
| 7. C42×D41 | C2 | semidirect |
| 8. #117×C41 | C2 | semidirect |
| 12. #10620306 | C4 | semidirect |
| 28. C2×C4×C41 | C2×C4 | semidirect |
| 32. C22⋊D41 | C2×C4 | semidirect |
| 37. D164 | C2×C4 | semidirect |
| 39. C4×D41 | C2×C4 | semidirect |
| 40. Dic82 | C2×C4 | semidirect |
| 51. Dic41 | #41 | semidirect |
| 57. C41 | C4×#41 | semidirect |
| 63. #117 | D41 | semidirect |
| 94. C2×C4 | C4×D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10620306 | 2 |
| #13050129 | 2 |
| #13050126 | 2 |
| #13050124 | 2 |
| #13050121 | 2 |
| C2×C4×Dic41 | 2 |
| C42×D41 | 2 |
| #117×C41 | 2 |
| C4×#41 | 41 |