Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
464 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 162 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×#18011999 | C2 | semidirect |
| 2. C2×#18011998 | C2 | semidirect |
| 3. #23750670 | C2 | direct (N × H) |
| 4. C2×#18011982 | C2 | semidirect |
| 5. C2×#18011976 | C2 | semidirect |
| 6. C2×#18011975 | C2 | semidirect |
| 7. C2×#18011965 | C2 | semidirect |
| 10. #18011999 | C22 | semidirect |
| 12. #18011998 | C22 | semidirect |
| 21. #18011982 | C22 | semidirect |
| 22. #18011976 | C22 | semidirect |
| 23. #18011975 | C22 | semidirect |
| 24. #18011965 | C22 | semidirect |
| 27. #18011932 | C4 | semidirect |
| 29. C2×#14558726 | C4 | semidirect |
| 30. C2×#14558725 | C4 | semidirect |
| 31. C2×#14558721 | C4 | semidirect |
| 33. C2×SD16×C149 | C4 | semidirect |
| 66. #14558726 | C2×C4 | semidirect |
| 67. #14558725 | C2×C4 | semidirect |
| 68. #14558721 | C2×C4 | semidirect |
| 74. SD16×C149 | C2×C4 | semidirect |
| 127. C2×C149 | #444 | semidirect |
| 132. C149 | C2×#444 | semidirect |
| 148. C2×SD16 | #10597010 | semidirect |
| 187. SD16 | C2×#10597010 | semidirect |
| 263. C2 | #23750670 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011999 | 2 |
| C2×#18011998 | 2 |
| #23750670 | 2 |
| C2×#18011982 | 2 |
| C2×#18011976 | 2 |
| C2×#18011975 | 2 |
| C2×#18011965 | 2 |
| C2×#18011932 | 2 |
| C2×#444 | 149 |