Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Hall | C3×C5 ⋊ #397 |
| Sylow | C5 ⋊ #4674 |
| Sylow | C3 ⋊ #65282 |
340 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=e,c^2=f,b^a=bdf,c^a=cef,h^a=h^4,c^b=cf,g^b=g^2114 conjugacy classes — view the full character table.
| maximal subgroup of | #14288258, #14288270, #14288297, … |
| maximal normal subgroup of | #14288258, #14288270, #14288297, … |
| maximal quotient of | #14280072, #14280107, #14280200, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2803);