Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
620 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 101 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×#10625007 | C2 | semidirect |
| 3. #13092419 | C2 | semidirect |
| 4. #13092320 | C2 | semidirect |
| 5. C2×C23×#100 | C2 | semidirect |
| 10. #10625155 | C4 | semidirect |
| 14. C2×M16×C23 | C22 | semidirect |
| 16. C2×C4⋊Dic23 | C22 | semidirect |
| 17. C2×C4×Dic23 | C22 | semidirect |
| 80. D92 | C22⋊C4 | semidirect |
| 84. Dic46 | C22⋊C4 | semidirect |
| 109. C2×#100 | D23 | semidirect |
| 126. C2×M16 | C2×D23 | semidirect |
| 134. C23 | #1792 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625155 | 2 |
| C2×#10625007 | 2 |
| #13092419 | 2 |
| #13092320 | 2 |
| C2×C23×#100 | 2 |
| #1792 | 23 |