Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊(C3⋊#168) |
| Hall | C3×C5 ⋊ C4×C4⋊C8 |
| Sylow | C5 ⋊ C4×C4⋊(C3⋊C8) |
| Sylow | C3 ⋊ C4×C4⋊#168 |
632 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
528 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 21791);