Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
336 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 3. #13092155 | C2 | direct (N × H) |
| 7. C22×Dic46 | C4 | semidirect |
| 10. C2×C4⋊Dic23 | C4 | semidirect |
| 13. #10625095 | C4 | semidirect |
| 36. C2×Dic46 | C2×C4 | semidirect |
| 42. C4⋊Dic23 | C2×C4 | semidirect |
| 101. C2×C23 | #328 | semidirect |
| 120. C23 | C2×#328 | semidirect |
| 197. C2 | #13092155 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625095 | 2 |
| C2×C23⋊#95 | 2 |
| #13092155 | 2 |
| C2×C23×C22⋊C8 | 2 |
| C2×#328 | 23 |