Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#10625079 | C2 | semidirect |
| 2. C22×D184 | C2 | semidirect |
| 3. C2×#10625072 | C2 | semidirect |
| 4. #13092688 | C2 | direct (N × H) |
| 5. C2×#10625005 | C2 | semidirect |
| 6. C2×C23×#108 | C2 | semidirect |
| 13. #10625079 | C22 | semidirect |
| 18. C2×D184 | C22 | semidirect |
| 21. #10625072 | C22 | semidirect |
| 24. C23×#108 | C22 | semidirect |
| 25. #10625005 | C22 | semidirect |
| 107. C2×#108 | D23 | semidirect |
| 111. C2×C23 | #472 | semidirect |
| 132. #108 | C2×D23 | semidirect |
| 134. C23 | C2×#472 | semidirect |
| 215. C2 | #13092688 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625079 | 2 |
| C22×D184 | 2 |
| C2×#10625072 | 2 |
| #13092688 | 2 |
| C2×#10625005 | 2 |
| C2×C23×#108 | 2 |
| C2×#472 | 23 |