Finite Group Databasebeta

← Group #11730734

Character table — Group #11730734

Order 896.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size11777777777777777777646464646464646464646464
order12224444444444444444777777141414141414
χ111111111111111111111111111111111
χ211111111111111111111−ζ2−ζ18−ζ6−ζ22−ζ10−ζ26−ζ2−ζ18−ζ6−ζ22−ζ10−ζ26
χ311111111111111111111−ζ18−ζ22−ζ26−ζ2−ζ6−ζ10−ζ18−ζ22−ζ26−ζ2−ζ6−ζ10
χ411111111111111111111−ζ6−ζ26−ζ18−ζ10−ζ2−ζ22−ζ6−ζ26−ζ18−ζ10−ζ2−ζ22
χ511111111111111111111−ζ22−ζ2−ζ10−ζ18−ζ26−ζ6−ζ22−ζ2−ζ10−ζ18−ζ26−ζ6
χ611111111111111111111−ζ10−ζ6−ζ2−ζ26−ζ22−ζ18−ζ10−ζ6−ζ2−ζ26−ζ22−ζ18
χ711111111111111111111−ζ26−ζ10−ζ22−ζ6−ζ18−ζ2−ζ26−ζ10−ζ22−ζ6−ζ18−ζ2
χ81-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ91-1-1111111111-1-1-1-1-1-1-1-1−ζ2−ζ18−ζ6−ζ22−ζ10−ζ26ζ2ζ18ζ6ζ22ζ10ζ26
χ101-1-1111111111-1-1-1-1-1-1-1-1−ζ18−ζ22−ζ26−ζ2−ζ6−ζ10ζ18ζ22ζ26ζ2ζ6ζ10
χ111-1-1111111111-1-1-1-1-1-1-1-1−ζ6−ζ26−ζ18−ζ10−ζ2−ζ22ζ6ζ26ζ18ζ10ζ2ζ22
χ121-1-1111111111-1-1-1-1-1-1-1-1−ζ22−ζ2−ζ10−ζ18−ζ26−ζ6ζ22ζ2ζ10ζ18ζ26ζ6
χ131-1-1111111111-1-1-1-1-1-1-1-1−ζ10−ζ6−ζ2−ζ26−ζ22−ζ18ζ10ζ6ζ2ζ26ζ22ζ18
χ141-1-1111111111-1-1-1-1-1-1-1-1−ζ26−ζ10−ζ22−ζ6−ζ18−ζ2ζ26ζ10ζ22ζ6ζ18ζ2
χ157777-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1677-1-11+2i1+2i1+2i1−2i1−2i1−2i−3+2i−3−2i1+2i1+2i1+2i1−2i1−2i1−2i−3+2i−3−2i000000000000
χ1777-1-11+2i1+2i−3−2i1−2i1−2i−3+2i1−2i1+2i1+2i1+2i−3−2i1−2i1−2i−3+2i1−2i1+2i000000000000
χ1877-1-11+2i−3−2i1+2i1−2i−3+2i1−2i1−2i1+2i1+2i−3−2i1+2i1−2i−3+2i1−2i1−2i1+2i000000000000
χ1977-1-11−2i1−2i1−2i1+2i1+2i1+2i−3−2i−3+2i1−2i1−2i1−2i1+2i1+2i1+2i−3−2i−3+2i000000000000
χ2077-1-11−2i1−2i−3+2i1+2i1+2i−3−2i1+2i1−2i1−2i1−2i−3+2i1+2i1+2i−3−2i1+2i1−2i000000000000
χ2177-1-11−2i−3+2i1−2i1+2i−3−2i1+2i1+2i1−2i1−2i−3+2i1−2i1+2i−3−2i1+2i1+2i1−2i000000000000
χ2277-1-1−3+2i1−2i1−2i−3−2i1+2i1+2i1+2i1−2i−3+2i1−2i1−2i−3−2i1+2i1+2i1+2i1−2i000000000000
χ2377-1-1−3−2i1+2i1+2i−3+2i1−2i1−2i1−2i1+2i−3−2i1+2i1+2i−3+2i1−2i1−2i1−2i1+2i000000000000
χ247-71-11+2i1+2i1+2i1−2i1−2i1−2i−3+2i−3−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i3−2i3+2i000000000000
χ257-71-11+2i1+2i−3−2i1−2i1−2i−3+2i1−2i1+2i−1−2i−1−2i3+2i−1+2i−1+2i3−2i−1+2i−1−2i000000000000
χ267-71-11+2i−3−2i1+2i1−2i−3+2i1−2i1−2i1+2i−1−2i3+2i−1−2i−1+2i3−2i−1+2i−1+2i−1−2i000000000000
χ277-71-11−2i1−2i1−2i1+2i1+2i1+2i−3−2i−3+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i3+2i3−2i000000000000
χ287-71-11−2i1−2i−3+2i1+2i1+2i−3−2i1+2i1−2i−1+2i−1+2i3−2i−1−2i−1−2i3+2i−1−2i−1+2i000000000000
χ297-71-11−2i−3+2i1−2i1+2i−3−2i1+2i1+2i1−2i−1+2i3−2i−1+2i−1−2i3+2i−1−2i−1−2i−1+2i000000000000
χ307-71-1−3+2i1−2i1−2i−3−2i1+2i1+2i1+2i1−2i3−2i−1+2i−1+2i3+2i−1−2i−1−2i−1−2i−1+2i000000000000
χ317-71-1−3−2i1+2i1+2i−3+2i1−2i1−2i1−2i1+2i3+2i−1−2i−1−2i3−2i−1+2i−1+2i−1+2i−1−2i000000000000
χ327-7-77-1-1-1-1-1-1-1-111111111000000000000

Here ζ is a primitive root of unity of order 28 (ζ28 = 1); i = ζ7.