Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
428 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 428 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×#14556520 | C2 | semidirect |
| 3. C2×#14556513 | C2 | semidirect |
| 4. C2×#14556512 | C2 | semidirect |
| 5. C2×#14556511 | C2 | semidirect |
| 6. C4⋊C4×Dic73 | C2 | semidirect |
| 7. C2×#102×C73 | C2 | semidirect |
| 13. #14556587 | C4 | semidirect |
| 46. C4⋊Dic73 | D4 | semidirect |
| 63. C4⋊C4×C73 | D4 | semidirect |
| 137. Dic73 | #102 | semidirect |
| 148. C73 | #1982 | semidirect |
| 154. C2×#102 | D73 | semidirect |
| 208. C4⋊C4 | C22⋊D73 | semidirect |