Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
168 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13092194 | C2 | direct (N × H) |
| 8. C23×M32 | C4 | semidirect |
| 10. C2×C16×C23 | C4 | semidirect |
| 13. #10624994 | C4 | semidirect |
| 15. C2×C23⋊C16 | C4 | semidirect |
| 29. C16×C23 | C2×C4 | semidirect |
| 30. C23⋊C16 | C2×C4 | semidirect |
| 61. C2×C23 | #347 | semidirect |
| 68. M32 | Dic23 | semidirect |
| 71. C2×C16 | Dic23 | semidirect |
| 74. C23 | C2×#347 | semidirect |
| 89. C16 | C2×Dic23 | semidirect |
| 115. C2 | #13092194 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624994 | 2 |
| C2×#10624997 | 2 |
| #13092194 | 2 |
| C2×C23×M32 | 2 |
| C2×#347 | 23 |