Finite Group DatabasebetaFinite Group Databasebeta| order | 7264 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C227 ⋊ #100 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,227|a^2=d,d^2=e,b^a=bc,c^a=ce,f^a=f^226,d^b=de1141 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28408818, #28408819, #28408821, … |
| maximal normal subgroup of | #28408818, #28408819, #28408821, … |
| maximal quotient of | #28408756, #28408772, #28408776, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7264, 63);