Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
544 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 170 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×Q8×#64408 | C2 | semidirect |
| 3. #17989626 | C2 | direct (N × H) |
| 4. C2×#14556660 | C2 | semidirect |
| 5. C2×#14556654 | C2 | semidirect |
| 7. C2×#14556645 | C2 | semidirect |
| 12. Q8×#64408 | C22 | semidirect |
| 21. #14556660 | C22 | semidirect |
| 22. #14556654 | C22 | semidirect |
| 24. #14556645 | C22 | semidirect |
| 27. C2×#11924017 | C4 | semidirect |
| 28. C2×#11924016 | C4 | semidirect |
| 29. C2×#11924015 | C4 | semidirect |
| 30. SD16×D73 | C4 | semidirect |
| 33. C2×SD16×C73 | C4 | semidirect |
| 54. C2×Dic146 | C2×C4 | semidirect |
| 57. Q8×D73 | C2×C4 | semidirect |
| 67. #11924017 | C2×C4 | semidirect |
| 68. #11924016 | C2×C4 | semidirect |
| 69. #11924015 | C2×C4 | semidirect |
| 70. C2×#10596831 | C2×C4 | semidirect |
| 71. C8×D73 | C2×C4 | semidirect |
| 73. C2×Q8×C73 | C2×C4 | semidirect |
| 75. SD16×C73 | C2×C4 | semidirect |
| 76. C2×C8×C73 | C2×C4 | semidirect |
| 94. Q8×C73 | C22×C4 | semidirect |
| 114. Dic146 | C22×C4 | semidirect |
| 116. C8×C73 | C22×C4 | semidirect |
| 117. #10596831 | C22×C4 | semidirect |
| 141. C2×C73 | #440 | semidirect |
| 144. D73 | #440 | semidirect |
| 148. C73 | C2×#440 | semidirect |
| 165. C2×SD16 | #64408 | semidirect |
| 189. C2×Q8 | C2×#64408 | semidirect |
| 208. SD16 | C2×#64408 | semidirect |
| 215. C2×C8 | C2×#64408 | semidirect |
| 237. Q8 | C22×#64408 | semidirect |
| 265. C8 | C22×#64408 | semidirect |
| 293. C2 | #17989626 | direct (N × H) |