Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#18012664 | C2 | semidirect |
| 4. #23752118 | C2 | semidirect |
| 6. #23751975 | C2 | semidirect |
| 7. C2×C4⋊C8×C151 | C2 | semidirect |
| 89. C2×C4×C151 | SD16 | semidirect |
| 129. C151 | #2055 | semidirect |
| 132. C2×C4⋊C8 | D151 | semidirect |
| 219. C2×C4 | #14558993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558993 | 2 |
| C2×#18012664 | 2 |
| C2×#18012661 | 2 |
| #23752118 | 2 |
| #23752114 | 2 |
| #23751975 | 2 |
| C2×C4⋊C8×C151 | 2 |
| #2055 | 151 |