Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
370 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13092900 | C2 | semidirect |
| 3. #13092423 | C2 | semidirect |
| 4. #13092319 | C2 | semidirect |
| 5. #13092185 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C2×C23×#104 | C2 | semidirect |
| 13. #10625120 | C4 | semidirect |
| 46. C2×D92 | C2×C4 | semidirect |
| 65. #67267 | C2×C4 | semidirect |
| 75. Q8×C23 | C22⋊C4 | semidirect |
| 79. D4×C23 | C22⋊C4 | semidirect |
| 128. C2×#104 | D23 | semidirect |
| 160. C23 | #1883 | semidirect |
| 208. Q8 | (C2×D23)⋊C4 | semidirect |
| 216. D4 | (C2×D23)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625120 | 2 |
| #13092900 | 2 |
| #13092423 | 2 |
| #13092319 | 2 |
| #13092185 | 2 |
| #13092177 | 2 |
| C2×C23×#104 | 2 |
| #1883 | 23 |