Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
312 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 109 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×C4⋊(C23⋊C8) | C2 | semidirect |
| 4. #13092171 | C2 | semidirect |
| 5. C2×C23×C4⋊C8 | C2 | semidirect |
| 98. C2×C4⋊C8 | D23 | semidirect |
| 121. C23 | #1798 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625043 | 2 |
| C2×C4⋊(C23⋊C8) | 2 |
| C2×(C2×D23)⋊C8 | 2 |
| #13092171 | 2 |
| C2×C23×C4⋊C8 | 2 |
| #1798 | 23 |