Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
262 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 8. C4×C71⋊C16 | C4 | semidirect |
| 13. #334×C71 | C4 | semidirect |
| 19. #14556060 | C8 | semidirect |
| 91. C71 | #7174 | semidirect |
| 101. #334 | Dic71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14556068 | 2 |
| C4×#14556060 | 2 |
| C71×#1564 | 2 |
| #7174 | 71 |