Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C3×C5×C4⋊C4 ⋊ C2 |
| Hall | C3×C5 ⋊ #539 |
| Sylow | C5 ⋊ #5515 |
| Sylow | C3 ⋊ #65849 |
436 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 139 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|c^2=e,d^2=f,b^a=bf,d^a=de,g^a=g^2,h^a=h^4,d^c=df162 conjugacy classes — view the full character table.
| maximal subgroup of | #14287758, #14287770, #14287787, … |
| maximal normal subgroup of | #14287758, #14287770, #14287787, … |
| maximal quotient of | #14322655, #14322984, #14323533, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10469);