Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
324 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 7. C23×C4⋊Q8 | C4 | semidirect |
| 62. C4×C23 | #103 | semidirect |
| 79. C4⋊Q8 | Dic23 | semidirect |
| 88. C23 | #1981 | semidirect |
| 134. C4 | #10625017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊(C23⋊C8) | 2 |
| C2×#10625017 | 2 |
| C4×C4⋊Dic23 | 2 |
| C2×C23×C4⋊Q8 | 2 |
| #1981 | 23 |