Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Hall | C3×C5 ⋊ #376 |
| Sylow | C5 ⋊ #4932 |
| Sylow | C3 ⋊ #64937 |
356 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 148 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=f,b^2=d,c^2=e,h^a=h^4,c^b=cf,g^b=g^2144 conjugacy classes — view the full character table.
| maximal subgroup of | #14277267, #14277268, #14282775, … |
| maximal normal subgroup of | #14277267, #14277268, #14282775, … |
| maximal quotient of | Dic5×C3⋊#95, #14279899, #14279904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2830);