Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
232 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#10624980 | C2 | semidirect |
| 3. #107×D23 | C2 | semidirect |
| 4. #13092221 | C2 | semidirect |
| 5. #13092219 | C2 | semidirect |
| 6. #13092217 | C2 | semidirect |
| 7. C23×#358 | C2 | semidirect |
| 12. #10625090 | C4 | semidirect |
| 31. Q16×C23 | C2×C4 | semidirect |
| 39. D184 | C2×C4 | semidirect |
| 81. #358 | D23 | semidirect |
| 103. C23 | #2139 | semidirect |
| 113. Q16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625090 | 2 |
| C2×#10624980 | 2 |
| #107×D23 | 2 |
| #13092221 | 2 |
| #13092219 | 2 |
| #13092217 | 2 |
| C23×#358 | 2 |
| #2139 | 23 |