Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
340 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 149 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. #13092825 | C2 | semidirect |
| 3. #13092821 | C2 | semidirect |
| 4. #13092818 | C2 | semidirect |
| 31. C2×C8×C23 | Q8 | semidirect |
| 47. #67267 | Q8 | semidirect |
| 108. C23 | #3164 | semidirect |
| 114. C2×C8 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093048 | 2 |
| #13092825 | 2 |
| #13092821 | 2 |
| #13092818 | 2 |
| #13092457 | 2 |
| #13092455 | 2 |
| #13092372 | 2 |
| C2×C23×#107 | 2 |
| #3164 | 23 |