Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
456 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 107 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⋊C4×D23 | C2 | semidirect |
| 3. C2×#10625003 | C2 | semidirect |
| 4. C2×#10624991 | C2 | semidirect |
| 5. C2×(C2×D23)⋊C8 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 7. C23×#340 | C2 | semidirect |
| 20. #10625066 | C4 | semidirect |
| 41. C2×D92 | C2×C4 | semidirect |
| 56. C4⋊C4×C23 | C2×C4 | semidirect |
| 57. C4⋊C4×C23 | D4 | semidirect |
| 60. C4⋊Dic23 | D4 | semidirect |
| 131. C2×D23 | #102 | semidirect |
| 146. #340 | D23 | semidirect |
| 174. C23 | #1874 | semidirect |
| 211. C4⋊C4 | C4×D23 | semidirect |
| 212. C4⋊C4 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625066 | 2 |
| C2×C4⋊C4×D23 | 2 |
| C2×#10625003 | 2 |
| C2×#10624991 | 2 |
| C2×(C2×D23)⋊C8 | 2 |
| #13092179 | 2 |
| C23×#340 | 2 |
| #1874 | 23 |