Finite Group Databasebeta

← Group #150435

Character table — Group #150435

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444488888888888888888161616161616161616323232323232
order12222244444444422244444488888888488888888448888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-111-1-1-111111111-1iiii−i−i−i−i-1-1ii−i−i
χ61111111111111111-1-1-111-1-1-111111111-1−i−i−i−iiiii-1-1−i−iii
χ71111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-1-1-1-1-111-111-111-1-1-11111-1-1-1-11ii−i−iii−i−i1-1i−ii−i
χ10111111-1-1-1-1-1-1-111-111-111-1-1-11111-1-1-1-11−i−iii−i−iii1-1−ii−ii
χ11111111-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1-111111ii−i−iii−i−i-11−ii−ii
χ12111111-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1-111111−i−iii−i−iii-11i−ii−i
χ13111111-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-111-1-1-1-111-111-1-11
χ14111111-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-11111-1-1-11-111-1
χ15111111-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11111-111-1-1-1-1111-1-111-1
χ16111111-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11111-1-1-11111-1-11-11-1-11
χ17222222222-2-2-2-2222222-2-2-2-2200000000-200000000000000
χ18222222222-2-2-2-2222-2-2-2-2-222-200000000200000000000000
χ19222222-2-2-2222222-222-2-2-222-200000000-200000000000000
χ20222222-2-2-2222222-2-2-22-2-2-2-2200000000200000000000000
χ212-2-222-20002i2i−2i−2i2-202-20002i−2i00000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ222-2-222-20002i2i−2i−2i2-202-20002i−2i0000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ232-2-222-20002i2i−2i−2i2-20-22000−2i2i00000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000
χ242-2-222-20002i2i−2i−2i2-20-22000−2i2i0000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000
χ252-2-222-2000−2i−2i2i2i2-202-2000−2i2i00000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ262-2-222-2000−2i−2i2i2i2-202-2000−2i2i0000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ272-2-222-2000−2i−2i2i2i2-20-220002i−2i00000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i000000
χ282-2-222-2000−2i−2i2i2i2-20-220002i−2i0000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000
χ294444444440000-4-4-40000000000000000000000000000000
χ30444444-4-4-40000-4-440000000000000000000000000000000
χ314444-4-444-400000000000000022-2-222-2-2000000000000000
χ324444-4-444-4000000000000000-2-222-2-222000000000000000
χ334444-4-4-4-4400000000000000022-2-2-2-222000000000000000
χ344444-4-4-4-44000000000000000-2-22222-2-2000000000000000
χ354-44-4004i−4i02i−2i2i−2i0000002-20000022−22002i2−2i2000000000000000
χ364-44-4004i−4i02i−2i2i−2i0000002-200000−222200−2i22i2000000000000000
χ374-44-4004i−4i0−2i2i−2i2i000000-2200022−22002i2−2i200000000000000000
χ384-44-4004i−4i0−2i2i−2i2i000000-22000−222200−2i22i200000000000000000
χ394-44-400−4i4i02i−2i2i−2i000000-2200022−2200−2i22i200000000000000000
χ404-44-400−4i4i02i−2i2i−2i000000-22000−2222002i2−2i200000000000000000
χ414-44-400−4i4i0−2i2i−2i2i0000002-20000022−2200−2i22i2000000000000000
χ424-44-400−4i4i0−2i2i−2i2i0000002-200000−2222002i2−2i2000000000000000
χ434-4-444-40000000-4400040000-400000000000000000000000
χ444-4-444-40000000-44000-40000400000000000000000000000
χ4588-8-8000004-4-440000000000000000000000000000000000
χ4688-8-800000-444-40000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).