Finite Group DatabasebetaFinite Group Databasebeta← C13×C3⋊(C3⋊#63118) #44478313
Order 30420.
180 conjugacy classes of subgroups.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C32×C5×C132 | C4 | semidirect |
| 8. C3×C5×C132 | Dic3 | semidirect |
| 9. C3⋊(C3⋊#63118) | C13 | direct (N × H) |
| 13. C32×C132 | Dic5 | semidirect |
| 17. C5×C132 | C3⋊Dic3 | semidirect |
| 22. C32×C5×C13 | C4×C13 | semidirect |
| 23. C32×C5×C13 | #261 | semidirect |
| 24. C3×C132 | Dic15 | semidirect |
| 35. C3×C5×C13 | Dic3×C13 | semidirect |
| 36. C3×C5×C13 | C3⋊#261 | semidirect |
| 38. C132 | C3⋊Dic15 | semidirect |
| 44. C32×C13 | C13×Dic5 | semidirect |
| 45. C32×C13 | #63118 | semidirect |
| 50. C5×C13 | C13×C3⋊Dic3 | semidirect |
| 51. C5×C13 | C3⋊(C3⋊#261) | semidirect |
| 55. C32×C5 | C13×#261 | semidirect |
| 57. C3×C13 | C13×Dic15 | semidirect |
| 58. C3×C13 | C3⋊#63118 | semidirect |
| 65. C3×C5 | C13×C3⋊#261 | semidirect |
| 67. C13 | C13×C3⋊Dic15 | semidirect |
| 68. C13 | C3⋊(C3⋊#63118) | direct (N × H) |
| 71. C32 | C13×#63118 | semidirect |
| 73. C5 | C13×C3⋊(C3⋊#261) | semidirect |
| 75. C3 | C13×C3⋊#63118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×C5×C13×D13 | 2 |
| C13×C3⋊#63118 | 3 |
| C13×C3⋊(C3⋊#261) | 5 |
| C3⋊(C3⋊#63118) | 13 |
| C13×C3⋊Dic15 | 13 |