Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
436 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 149 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×#18012739 | C2 | semidirect |
| 3. #23752572 | C2 | direct (N × H) |
| 4. C2×#18012664 | C2 | semidirect |
| 6. C2×#97×C151 | C2 | semidirect |
| 11. #18012739 | C22 | semidirect |
| 18. #18012664 | C22 | semidirect |
| 22. #97×C151 | C22 | semidirect |
| 82. C2×C151 | #489 | semidirect |
| 87. C151 | C2×#489 | semidirect |
| 94. C2×#97 | D151 | semidirect |
| 110. #97 | C2×D151 | semidirect |
| 171. C2 | #23752572 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012739 | 2 |
| C2×#18012727 | 2 |
| #23752572 | 2 |
| C2×#18012664 | 2 |
| C2×#18012661 | 2 |
| C2×#97×C151 | 2 |
| C2×#489 | 151 |