Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ Q8×C4⋊C4 |
| Sylow | C5 ⋊ #75981 |
| Sylow | C3 ⋊ C4⋊C4×Dic10 |
1136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
Polycyclic presentation:
2^7,3,5|a^2=g,b^2=e,c^2=f,d^2=e,b^a=be,c^a=cf,h^a=h^2,i^a=i^4,d^b=de,h^c=h^2,h^d=h^2,i^d=i^4222 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 52930);