Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
234 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 5. C23×C4×C23 | C4 | semidirect |
| 7. C2×C22⋊C4×C23 | C4 | semidirect |
| 12. #10625016 | C4 | semidirect |
| 14. #10625015 | C4 | semidirect |
| 107. C23×C4 | Dic23 | semidirect |
| 111. C2×C22⋊C4 | Dic23 | semidirect |
| 117. C23 | #1390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625015 | 2 |
| C2×#10625016 | 2 |
| C23×#386 | 2 |
| #1390 | 23 |