Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
336 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 97 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×#10625007 | C2 | semidirect |
| 3. C4×C4⋊Dic23 | C2 | semidirect |
| 4. C4×M16×C23 | C2 | semidirect |
| 12. #10625046 | C4 | semidirect |
| 13. #10625045 | C4 | semidirect |
| 16. #10625040 | C4 | semidirect |
| 34. M16×C23 | D4 | semidirect |
| 82. C4×C23 | #104 | semidirect |
| 89. C4×M16 | D23 | semidirect |
| 113. C23 | #1980 | semidirect |
| 127. M16 | D92 | semidirect |
| 176. C4 | #10625007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092967 | 2 |
| C2×#10625007 | 2 |
| C4×C4⋊Dic23 | 2 |
| C4×M16×C23 | 2 |
| #1980 | 23 |