Finite Group DatabasebetaFinite Group Databasebeta← C2×SL(2,𝔽3)×C22⋊D5 #14514201
Order 1920.
1006 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 1006 conjugacy classes of subgroups — too many to draw. Only its 159 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.
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C5×SL(2,𝔽3) | 2 |
| C22×D5×SL(2,𝔽3) | 2 |
| SL(2,𝔽3)×C22⋊D5 | 2 |
| C2×Dic5×SL(2,𝔽3) | 2 |
| C2×Q8×C22⋊D5 | 3 |
| C22×C3×C22⋊D5 | 4 |
| C2×D4×SL(2,𝔽3) | 5 |