Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
308 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. #23752489 | C2 | semidirect |
| 3. #23752414 | C2 | semidirect |
| 4. #23751956 | C2 | semidirect |
| 5. #23751941 | C2 | semidirect |
| 6. #23751941 | C2 | semidirect |
| 7. #486×C151 | C2 | semidirect |
| 17. C4⋊(C151⋊C8) | C22 | semidirect |
| 18. C4⋊(C151⋊C8) | C22 | semidirect |
| 21. C4⋊Q8×C151 | C22 | semidirect |
| 24. C4×C8×C151 | C22 | semidirect |
| 60. D604 | SD16 | semidirect |
| 109. C151 | #1639 | semidirect |
| 112. #486 | D151 | semidirect |
| 121. C4⋊Q8 | C2×D151 | semidirect |
| 134. C4×C8 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752847 | 2 |
| #23752489 | 2 |
| #23752414 | 2 |
| #23751956 | 2 |
| #23751941 | 2 |
| #486×C151 | 2 |
| #1639 | 151 |