Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
384 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 3. #23752518 | C2 | direct (N × H) |
| 91. C2×C151 | #479 | semidirect |
| 95. C151 | C2×#479 | semidirect |
| 187. C2 | #23752518 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012730 | 2 |
| C2×#18012704 | 2 |
| #23752518 | 2 |
| C2×#18012670 | 2 |
| C2×Dic151⋊C8 | 2 |
| C2×#18012664 | 2 |
| C2×#18012662 | 2 |
| C2×#107×C151 | 2 |
| C2×#479 | 151 |