Finite Group DatabasebetaFinite Group DatabasebetaOrder 3904.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 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 |
|---|---|---|
| 1. C2×#11758222 | C2 | semidirect |
| 2. #14519808 | C2 | semidirect |
| 3. #14519807 | C2 | semidirect |
| 4. #14519803 | C2 | semidirect |
| 5. #14519802 | C2 | semidirect |
| 6. #14519797 | C2 | semidirect |
| 7. C2×#11758194 | C2 | semidirect |
| 8. C2×#41×C61 | C2 | semidirect |
| 12. #41×C61 | C22 | semidirect |
| 13. C2×Q8×C61 | C22 | semidirect |
| 15. C2×D4×C61 | C22 | semidirect |
| 22. #11758222 | C22 | semidirect |
| 23. C2×D244 | C22 | semidirect |
| 25. C2×Dic122 | C22 | semidirect |
| 26. #11758202 | C22 | semidirect |
| 27. #11758201 | C22 | semidirect |
| 28. #11758200 | C22 | semidirect |
| 29. #11758199 | C22 | semidirect |
| 30. #11758194 | C22 | semidirect |
| 31. #11758194 | C22 | semidirect |
| 32. C2×#92418 | C22 | semidirect |
| 82. C61 | #575 | semidirect |
| 84. C2×#41 | D61 | semidirect |
| 98. #41 | C2×D61 | semidirect |
| 100. C2×Q8 | C2×D61 | semidirect |
| 104. C2×D4 | C2×D61 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758222 | 2 |
| #14519808 | 2 |
| #14519807 | 2 |
| #14519803 | 2 |
| #14519802 | 2 |
| #14519797 | 2 |
| C2×#11758194 | 2 |
| C2×#41×C61 | 2 |
| #575 | 61 |