Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
594 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 83 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×#17989673 | C2 | semidirect |
| 2. #22626959 | C2 | semidirect |
| 3. #22626958 | C2 | semidirect |
| 34. C2×#11924029 | C8 | semidirect |
| 36. C2×#11924028 | C8 | semidirect |
| 38. C2×#11924027 | C8 | semidirect |
| 46. C2×#41×C73 | C8 | semidirect |
| 73. C2×Dic146 | C2×C8 | semidirect |
| 77. C2×D292 | C2×C8 | semidirect |
| 99. C2×Q8×C73 | C2×C8 | semidirect |
| 101. C2×D4×C73 | C2×C8 | semidirect |
| 203. C73 | #11432 | semidirect |
| 223. C2×#41 | #10596842 | semidirect |
| 258. C2×Q8 | C2×#10596842 | semidirect |
| 269. C2×D4 | C2×#10596842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989673 | 2 |
| #22626959 | 2 |
| #22626958 | 2 |
| #22626406 | 2 |
| #11432 | 73 |