Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
232 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 93 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×#10624994 | C2 | semidirect |
| 2. C2×#10625000 | C2 | semidirect |
| 3. #13092221 | C2 | semidirect |
| 4. #13092218 | C2 | semidirect |
| 8. C23×#135 | C4 | semidirect |
| 27. Q16×C23 | C2×C4 | semidirect |
| 30. D8×C23 | C2×C4 | semidirect |
| 81. #135 | Dic23 | semidirect |
| 91. C23 | #2139 | semidirect |
| 101. Q16 | C2×Dic23 | semidirect |
| 104. D8 | C2×Dic23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624994 | 2 |
| C2×#10625000 | 2 |
| #13092221 | 2 |
| #13092218 | 2 |
| C2×C23×#135 | 2 |
| #2139 | 23 |