Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
336 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. C2×#10625019 | C2 | semidirect |
| 2. C4×#67267 | C2 | semidirect |
| 3. C4×C4⋊Dic23 | C2 | semidirect |
| 6. C23×C4⋊Q8 | C4 | semidirect |
| 7. C23×#127 | C4 | semidirect |
| 8. C23×#124 | C4 | semidirect |
| 44. #67267 | D4 | semidirect |
| 83. C4×C23 | #104 | semidirect |
| 99. C4⋊Q8 | Dic23 | semidirect |
| 100. #127 | Dic23 | semidirect |
| 101. #124 | Dic23 | semidirect |
| 113. C23 | #1980 | semidirect |
| 176. C4 | #10625019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625019 | 2 |
| C4×#67267 | 2 |
| C4×C4⋊Dic23 | 2 |
| C23×#532 | 2 |
| #1980 | 23 |