Finite Group Databasebeta

← Group #218839

Character table — Group #218839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222444444442222444444444444444444448888888888888888888888888888888888888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-1-111-1-11i−i−iii−i−ii
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-111-1-111-1−iii−i−iii−i
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-1-111-1-11−iii−i−iii−i
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-111-1-111-1i−i−iii−i−ii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-11-1-11-11i−i−ii−iii−i
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-111-11-1−iii−ii−i−ii
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-1i−ii−i−ii−ii
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11−ii−iii−ii−i
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-11-1-11-11−iii−ii−i−ii
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-111-11-1i−i−ii−iii−i
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11-111-1−ii−iii−ii−i
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-111-11-1-11i−ii−i−ii−ii
χ33222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4122-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i22-2-20000002ζ3−2ζ3002ζ−2ζ2ζ−2ζ002ζ3−2ζ300i2i2−i2−i222−2−222−2−2i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000
χ4222-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i22-2-20000002ζ3−2ζ3002ζ−2ζ2ζ−2ζ002ζ3−2ζ300−i2−i2i2i2−2−222−2−222−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000
χ4322-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i22-2-2000000−2ζ32ζ300−2ζ2ζ−2ζ2ζ00−2ζ32ζ300i2i2−i2−i222−2−222−2−2i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000
χ4422-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i22-2-2000000−2ζ32ζ300−2ζ2ζ−2ζ2ζ00−2ζ32ζ300−i2−i2i2i2−2−222−2−222−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000
χ4522-2-22-22-22i2i−2i−2i2i2i−2i−2i000000000000−2i−2i2i2i-2-2220000002ζ3−2ζ3002ζ−2ζ−2ζ2ζ00−2ζ32ζ300i2i2−i2−i222−2−2−2−222−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000
χ4622-2-22-22-22i2i−2i−2i2i2i−2i−2i000000000000−2i−2i2i2i-2-2220000002ζ3−2ζ3002ζ−2ζ−2ζ2ζ00−2ζ32ζ300−i2−i2i2i2−2−22222−2−2i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000
χ4722-2-22-22-22i2i−2i−2i2i2i−2i−2i000000000000−2i−2i2i2i-2-222000000−2ζ32ζ300−2ζ2ζ2ζ−2ζ002ζ3−2ζ300i2i2−i2−i222−2−2−2−222−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000
χ4822-2-22-22-22i2i−2i−2i2i2i−2i−2i000000000000−2i−2i2i2i-2-222000000−2ζ32ζ300−2ζ2ζ2ζ−2ζ002ζ3−2ζ300−i2−i2i2i2−2−22222−2−2i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000
χ4922-2-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000002i2i−2i−2i-2-2220000002ζ−2ζ002ζ3−2ζ3−2ζ32ζ300−2ζ2ζ00i2i2−i2−i2−2−22222−2−2−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000
χ5022-2-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000002i2i−2i−2i-2-2220000002ζ−2ζ002ζ3−2ζ3−2ζ32ζ300−2ζ2ζ00−i2−i2i2i222−2−2−2−222i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000
χ5122-2-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000002i2i−2i−2i-2-222000000−2ζ2ζ00−2ζ32ζ32ζ3−2ζ3002ζ−2ζ00i2i2−i2−i2−2−22222−2−2−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000
χ5222-2-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000002i2i−2i−2i-2-222000000−2ζ2ζ00−2ζ32ζ32ζ3−2ζ3002ζ−2ζ00−i2−i2i2i222−2−2−2−222i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000
χ5322-2-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i22-2-20000002ζ−2ζ002ζ3−2ζ32ζ3−2ζ3002ζ−2ζ00i2i2−i2−i2−2−222−2−222i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000
χ5422-2-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i22-2-20000002ζ−2ζ002ζ3−2ζ32ζ3−2ζ3002ζ−2ζ00−i2−i2i2i222−2−222−2−2−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000
χ5522-2-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i22-2-2000000−2ζ2ζ00−2ζ32ζ3−2ζ32ζ300−2ζ2ζ00i2i2−i2−i2−2−222−2−222i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000
χ5622-2-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i22-2-2000000−2ζ2ζ00−2ζ32ζ3−2ζ32ζ300−2ζ2ζ00−i2−i2i2i222−2−222−2−2−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000
χ572-22-22-2-222i−2i2i−2i2i−2i2i−2i22-2-22i2i−2i−2i2-22i−2i2-22-22i−2i2i−2i2-22i−2i000000000000000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000000000
χ582-22-22-2-222i−2i2i−2i2i−2i2i−2i22-2-22i2i−2i−2i2-22i−2i2-22-22i−2i2i−2i2-22i−2i00000000000000000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000000000000000
χ592-22-22-2-222i−2i2i−2i2i−2i2i−2i22-2-22i2i−2i−2i-22−2i2i-22-22−2i2i−2i2i-22−2i2i00000000000000002i−2i2i−2i2-22-22i−2i2i−2i2-22-200000000000000000000000000000000
χ602-22-22-2-222i−2i2i−2i2i−2i2i−2i22-2-22i2i−2i−2i-22−2i2i-22-22−2i2i−2i2i-22−2i2i0000000000000000−2i2i−2i2i-22-22−2i2i−2i2i-22-2200000000000000000000000000000000
χ612-22-22-2-222i−2i2i−2i2i−2i2i−2i-2-222−2i−2i2i2i2-22i−2i-22-22−2i2i−2i2i2-22i−2i000000000000000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000000000000000
χ622-22-22-2-222i−2i2i−2i2i−2i2i−2i-2-222−2i−2i2i2i2-22i−2i-22-22−2i2i−2i2i2-22i−2i00000000000000000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000000000
χ632-22-22-2-222i−2i2i−2i2i−2i2i−2i-2-222−2i−2i2i2i-22−2i2i2-22-22i−2i2i−2i-22−2i2i00000000000000002i−2i2i−2i2-22-2−2i2i−2i2i-22-2200000000000000000000000000000000
χ642-22-22-2-222i−2i2i−2i2i−2i2i−2i-2-222−2i−2i2i2i-22−2i2i2-22-22i−2i2i−2i-22−2i2i0000000000000000−2i2i−2i2i-22-222i−2i2i−2i2-22-200000000000000000000000000000000
χ652-22-22-2-22−2i2i−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i2-2−2i2i2-22-2−2i2i−2i2i2-2−2i2i000000000000000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000000000
χ662-22-22-2-22−2i2i−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i2-2−2i2i2-22-2−2i2i−2i2i2-2−2i2i00000000000000000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000000000000000
χ672-22-22-2-22−2i2i−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i-222i−2i-22-222i−2i2i−2i-222i−2i00000000000000002i−2i2i−2i-22-222i−2i2i−2i-22-2200000000000000000000000000000000
χ682-22-22-2-22−2i2i−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i-222i−2i-22-222i−2i2i−2i-222i−2i0000000000000000−2i2i−2i2i2-22-2−2i2i−2i2i2-22-200000000000000000000000000000000
χ692-22-22-2-22−2i2i−2i2i−2i2i−2i2i-2-2222i2i−2i−2i2-2−2i2i-22-222i−2i2i−2i2-2−2i2i000000000000000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000000000000000
χ702-22-22-2-22−2i2i−2i2i−2i2i−2i2i-2-2222i2i−2i−2i2-2−2i2i-22-222i−2i2i−2i2-2−2i2i00000000000000000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000000000
χ712-22-22-2-22−2i2i−2i2i−2i2i−2i2i-2-2222i2i−2i−2i-222i−2i2-22-2−2i2i−2i2i-222i−2i00000000000000002i−2i2i−2i-22-22−2i2i−2i2i2-22-200000000000000000000000000000000
χ722-22-22-2-22−2i2i−2i2i−2i2i−2i2i-2-2222i2i−2i−2i-222i−2i2-22-2−2i2i−2i2i-222i−2i0000000000000000−2i2i−2i2i2-22-22i−2i2i−2i-22-2200000000000000000000000000000000
χ732-2-2222-2-22-2-222-2-220000000000002i−2i−2i2i−2i2i2i−2i00002-2002-200002i−2i002i−2i2−2−222−2−22i2−i2−i2i2−i2i2i2−i22−2−22−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ742-2-2222-2-22-2-222-2-220000000000002i−2i−2i2i−2i2i2i−2i00002-2002-200002i−2i002i−2i−222−2−222−2−i2i2i2−i2i2−i2−i2i2−222−22−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ752-2-2222-2-22-2-222-2-220000000000002i−2i−2i2i−2i2i2i−2i0000-2200-220000−2i2i00−2i2i2−2−222−2−22i2−i2−i2i2−i2i2i2−i2−222−22−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ762-2-2222-2-22-2-222-2-220000000000002i−2i−2i2i−2i2i2i−2i0000-2200-220000−2i2i00−2i2i−222−2−222−2−i2i2i2−i2i2−i2−i2i22−2−22−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ772-2-2222-2-22-2-222-2-22000000000000−2i2i2i−2i2i−2i−2i2i00002-2002-20000−2i2i00−2i2i2−2−222−2−22−i2i2i2−i2i2−i2−i2i22−2−22−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ782-2-2222-2-22-2-222-2-22000000000000−2i2i2i−2i2i−2i−2i2i00002-2002-20000−2i2i00−2i2i−222−2−222−2i2−i2−i2i2−i2i2i2−i2−222−22−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ792-2-2222-2-22-2-222-2-22000000000000−2i2i2i−2i2i−2i−2i2i0000-2200-2200002i−2i002i−2i2−2−222−2−22−i2i2i2−i2i2−i2−i2i2−222−22−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ802-2-2222-2-22-2-222-2-22000000000000−2i2i2i−2i2i−2i−2i2i0000-2200-2200002i−2i002i−2i−222−2−222−2i2−i2−i2i2−i2i2i2−i22−2−22−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ812-2-2222-2-2-222-2-222-20000000000002i−2i−2i2i2i−2i−2i2i00002i−2i00−2i2i0000-22002-22−2−22−222−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22−2−22−222−20000000000000000
χ822-2-2222-2-2-222-2-222-20000000000002i−2i−2i2i2i−2i−2i2i00002i−2i00−2i2i0000-22002-2−222−22−2−22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−222−22−2−220000000000000000
χ832-2-2222-2-2-222-2-222-20000000000002i−2i−2i2i2i−2i−2i2i0000−2i2i002i−2i00002-200-222−2−22−222−2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−222−22−2−220000000000000000
χ842-2-2222-2-2-222-2-222-20000000000002i−2i−2i2i2i−2i−2i2i0000−2i2i002i−2i00002-200-22−222−22−2−22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i22−2−22−222−20000000000000000
χ852-2-2222-2-2-222-2-222-2000000000000−2i2i2i−2i−2i2i2i−2i00002i−2i00−2i2i00002-200-222−2−22−222−2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−222−22−2−220000000000000000
χ862-2-2222-2-2-222-2-222-2000000000000−2i2i2i−2i−2i2i2i−2i00002i−2i00−2i2i00002-200-22−222−22−2−22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i22−2−22−222−20000000000000000
χ872-2-2222-2-2-222-2-222-2000000000000−2i2i2i−2i−2i2i2i−2i0000−2i2i002i−2i0000-22002-22−2−22−222−2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22−2−22−222−20000000000000000
χ882-2-2222-2-2-222-2-222-2000000000000−2i2i2i−2i−2i2i2i−2i0000−2i2i002i−2i0000-22002-2−222−22−2−22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−222−22−2−220000000000000000
χ894444-4-4-4-44-4-44-444-44-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-44-4-44-444-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-4-444-44-4-444-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-4-444-44-4-44-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-44-444i−4i4i−4i−4i4i−4i4i000000004-44i−4i00000000-44−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-44-444i−4i4i−4i−4i4i−4i4i00000000-44−4i4i000000004-44i−4i0000000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-44-44−4i4i−4i4i4i−4i4i−4i000000004-4−4i4i00000000-444i−4i0000000000000000000000000000000000000000000000000000000000000000
χ9644-4-4-44-44−4i4i−4i4i4i−4i4i−4i00000000-444i−4i000000004-4−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-444-44i4i−4i−4i−4i−4i4i4i4-4-444i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-444-44i4i−4i−4i−4i−4i4i4i-444-4−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-444-4−4i−4i4i4i4i4i−4i−4i4-4-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-444-4−4i−4i4i4i4i4i−4i−4i-444-44i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4444444-4-4-4-400000000444400000000-4-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-4444444-4-4-4-400000000-4-4-4-40000000044440000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-4-4-4-444440000000044-4-400000000-4-4440000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-444-4-4-4-4444400000000-4-4440000000044-4-40000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.