Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
696 conjugacy classes of subgroups; only the 389 normal subgroups are shown.
This group has 696 conjugacy classes of subgroups — too many to draw. Only its 389 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. C4⋊C4×Dic23 | C2 | semidirect |
| 7. C2×C4⋊C4×C23 | C4 | semidirect |
| 10. #10625097 | C4 | semidirect |
| 25. C4⋊Dic23 | C2×C4 | semidirect |
| 27. C4×Dic23 | C2×C4 | semidirect |
| 35. C2×C4×C23 | C42 | semidirect |
| 68. C2×C4⋊C4 | Dic23 | semidirect |
| 74. C23 | #2274 | semidirect |
| 98. C2×C4 | C4×Dic23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625097 | 2 |
| C4⋊C4×Dic23 | 2 |
| C4×C22⋊Dic23 | 2 |
| C22×C4⋊C4×C23 | 2 |
| #2274 | 23 |