Finite Group Databasebeta

← Group #202604

Character table — Group #202604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222444444444444444444444444888888888888888822448888888888888888888888888888888888888888888888888888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ911111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-11
χ1111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11-1-111-11
χ1211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111-111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1111-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1111-1-1-11
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-11
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111-1
χ1711111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii−i−iii−i−i1-11-11-1-11
χ1811111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iii−i−iii-11-11-111-1
χ1911111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−iii−i−i-11-11-111-1
χ2011111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii1-11-11-1-11
χ2111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iii1-1-11-11-11
χ2211111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iiiii−i−iii−i−i-111-11-11-1
χ2311111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i−i−iii−i−iii-111-11-11-1
χ2411111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−i1-1-11-11-11
χ2511111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iii111-1-11-1-1
χ2611111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i-1-1-111-111
χ2711111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii-1-1-111-111
χ2811111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i111-1-11-1-1
χ2911111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−i11-111-1-1-1
χ3011111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−i−i−iii-1-11-1-1111
χ3111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iiiii−i−i-1-11-1-1111
χ3211111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii11-111-1-1-1
χ332222222222222222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ342222222222222222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2220000000000000000-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2220000000000000000-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-222000000000000000022-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-222000000000000000022-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4122-22-22-2-22i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i22-2-20000i2i2i2i2−i2−i2−i2−i22222−2−2−2−20000002ζ3−2ζ3002ζ−2ζ002ζ−2ζ002ζ3−2ζ322−2−2i2i2−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−i000000000000000000000000
χ4222-22-22-2-22i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i22-2-20000i2i2i2i2−i2−i2−i2−i22222−2−2−2−2000000−2ζ32ζ300−2ζ2ζ00−2ζ2ζ00−2ζ32ζ322−2−2i2i2−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+i000000000000000000000000
χ4322-22-22-2-22i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i22-2-20000−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000002ζ3−2ζ3002ζ−2ζ002ζ−2ζ002ζ3−2ζ3−2−222−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+i000000000000000000000000
χ4422-22-22-2-22i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i22-2-20000−i2−i2−i2−i2i2i2i2i2−2−2−2−22222000000−2ζ32ζ300−2ζ2ζ00−2ζ2ζ00−2ζ32ζ3−2−222−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−i000000000000000000000000
χ4522-22-22-2-22i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i-2-2220000i2i2i2i2−i2−i2−i2−i22222−2−2−2−20000002ζ3−2ζ3002ζ−2ζ00−2ζ2ζ00−2ζ32ζ3−2−222−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+i000000000000000000000000
χ4622-22-22-2-22i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i-2-2220000i2i2i2i2−i2−i2−i2−i22222−2−2−2−2000000−2ζ32ζ300−2ζ2ζ002ζ−2ζ002ζ3−2ζ3−2−222−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−i000000000000000000000000
χ4722-22-22-2-22i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i-2-2220000−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000002ζ3−2ζ3002ζ−2ζ00−2ζ2ζ00−2ζ32ζ322−2−2i2i2−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−i000000000000000000000000
χ4822-22-22-2-22i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i-2-2220000−i2−i2−i2−i2i2i2i2i2−2−2−2−22222000000−2ζ32ζ300−2ζ2ζ002ζ−2ζ002ζ3−2ζ322−2−2i2i2−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+i000000000000000000000000
χ4922-22-22-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i-2-2220000i2i2i2i2−i2−i2−i2−i2−2−2−2−222220000002ζ−2ζ002ζ3−2ζ300−2ζ32ζ300−2ζ2ζ22−2−2−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−i000000000000000000000000
χ5022-22-22-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i-2-2220000i2i2i2i2−i2−i2−i2−i2−2−2−2−22222000000−2ζ2ζ00−2ζ32ζ3002ζ3−2ζ3002ζ−2ζ22−2−2−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+i000000000000000000000000
χ5122-22-22-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i-2-2220000−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000002ζ−2ζ002ζ3−2ζ300−2ζ32ζ300−2ζ2ζ−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+i000000000000000000000000
χ5222-22-22-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i-2-2220000−i2−i2−i2−i2i2i2i2i22222−2−2−2−2000000−2ζ2ζ00−2ζ32ζ3002ζ3−2ζ3002ζ−2ζ−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−i000000000000000000000000
χ5322-22-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i22-2-20000i2i2i2i2−i2−i2−i2−i2−2−2−2−222220000002ζ−2ζ002ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ−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+i000000000000000000000000
χ5422-22-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i22-2-20000i2i2i2i2−i2−i2−i2−i2−2−2−2−22222000000−2ζ2ζ00−2ζ32ζ300−2ζ32ζ300−2ζ2ζ−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−i000000000000000000000000
χ5522-22-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i22-2-20000−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000002ζ−2ζ002ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ22−2−2−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−i000000000000000000000000
χ5622-22-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i22-2-20000−i2−i2−i2−i2i2i2i2i22222−2−2−2−2000000−2ζ2ζ00−2ζ32ζ300−2ζ32ζ300−2ζ2ζ22−2−2−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+i000000000000000000000000
χ5722-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i000000002-22i−2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ00002ζ3−2ζ32ζ−2ζ00000000
χ5822-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i000000002-22i−2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ0000−2ζ32ζ3−2ζ2ζ00000000
χ5922-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i000000002-22i−2i-2-222-2-222−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ0000−2ζ32ζ3−2ζ2ζ00000000
χ6022-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i000000002-22i−2i-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ00002ζ3−2ζ32ζ−2ζ00000000
χ6122-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i000000002-2−2i2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ300002ζ−2ζ2ζ3−2ζ300000000
χ6222-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i000000002-2−2i2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ30000−2ζ2ζ−2ζ32ζ300000000
χ6322-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i000000002-2−2i2i-2-222-2-2222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ30000−2ζ2ζ−2ζ32ζ300000000
χ6422-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i000000002-2−2i2i-2-222-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ300002ζ−2ζ2ζ3−2ζ300000000
χ652-222-2-22-22i2i−2i−2i−2i−2i2i2i00002i−2i2i−2i2-22-200002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002ζ3−2ζ3002ζ−2ζ002ζ−2ζ002ζ3−2ζ300i2−i2i2−i22−22−21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ662-222-2-22-22i2i−2i−2i−2i−2i2i2i00002i−2i2i−2i2-22-200002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000−2ζ32ζ300−2ζ2ζ00−2ζ2ζ00−2ζ32ζ300i2−i2i2−i22−22−2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ672-222-2-22-22i2i−2i−2i−2i−2i2i2i00002i−2i2i−2i2-22-20000−22−22−22−22−i2i2−i2i2−i2i2−i2i200002ζ3−2ζ3002ζ−2ζ002ζ−2ζ002ζ3−2ζ300−i2i2−i2i2−22−22−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ682-222-2-22-22i2i−2i−2i−2i−2i2i2i00002i−2i2i−2i2-22-20000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000−2ζ32ζ300−2ζ2ζ00−2ζ2ζ00−2ζ32ζ300−i2i2−i2i2−22−221−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ692-222-2-22-22i2i−2i−2i−2i−2i2i2i0000−2i2i−2i2i-22-2200002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002ζ3−2ζ3002ζ−2ζ00−2ζ2ζ00−2ζ32ζ300−i2i2−i2i2−22−221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ702-222-2-22-22i2i−2i−2i−2i−2i2i2i0000−2i2i−2i2i-22-2200002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000−2ζ32ζ300−2ζ2ζ002ζ−2ζ002ζ3−2ζ300−i2i2−i2i2−22−22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ712-222-2-22-22i2i−2i−2i−2i−2i2i2i0000−2i2i−2i2i-22-220000−22−22−22−22−i2i2−i2i2−i2i2−i2i200002ζ3−2ζ3002ζ−2ζ00−2ζ2ζ00−2ζ32ζ300i2−i2i2−i22−22−2−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ722-222-2-22-22i2i−2i−2i−2i−2i2i2i0000−2i2i−2i2i-22-220000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000−2ζ32ζ300−2ζ2ζ002ζ−2ζ002ζ3−2ζ300i2−i2i2−i22−22−21−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ732-222-2-22-2−2i−2i2i2i2i2i−2i−2i00002i−2i2i−2i-22-2200002−22−22−22−2−i2i2−i2i2−i2i2−i2i200002ζ−2ζ002ζ3−2ζ300−2ζ32ζ300−2ζ2ζ00i2−i2i2−i2−22−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ742-222-2-22-2−2i−2i2i2i2i2i−2i−2i00002i−2i2i−2i-22-2200002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000−2ζ2ζ00−2ζ32ζ3002ζ3−2ζ3002ζ−2ζ00i2−i2i2−i2−22−221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ752-222-2-22-2−2i−2i2i2i2i2i−2i−2i00002i−2i2i−2i-22-220000−22−22−22−22i2−i2i2−i2i2−i2i2−i200002ζ−2ζ002ζ3−2ζ300−2ζ32ζ300−2ζ2ζ00−i2i2−i2i22−22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ762-222-2-22-2−2i−2i2i2i2i2i−2i−2i00002i−2i2i−2i-22-220000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000−2ζ2ζ00−2ζ32ζ3002ζ3−2ζ3002ζ−2ζ00−i2i2−i2i22−22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ772-222-2-22-2−2i−2i2i2i2i2i−2i−2i0000−2i2i−2i2i2-22-200002−22−22−22−2−i2i2−i2i2−i2i2−i2i200002ζ−2ζ002ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ00−i2i2−i2i22−22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ782-222-2-22-2−2i−2i2i2i2i2i−2i−2i0000−2i2i−2i2i2-22-200002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000−2ζ2ζ00−2ζ32ζ300−2ζ32ζ300−2ζ2ζ00−i2i2−i2i22−22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ792-222-2-22-2−2i−2i2i2i2i2i−2i−2i0000−2i2i−2i2i2-22-20000−22−22−22−22i2−i2i2−i2i2−i2i2−i200002ζ−2ζ002ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ00i2−i2i2−i2−22−221+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ802-222-2-22-2−2i−2i2i2i2i2i−2i−2i0000−2i2i−2i2i2-22-20000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000−2ζ2ζ00−2ζ32ζ300−2ζ32ζ300−2ζ2ζ00i2−i2i2−i2−22−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ812-22-222-2-22i−2i2i−2i−2i2i−2i2i2-2−2i2i00000000-222i−2i2i−2i−2i2i−2i2i2i−2i2-2-22-222-2000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ00002ζ−2ζ2ζ3−2ζ3000000000000
χ822-22-222-2-22i−2i2i−2i−2i2i−2i2i2-2−2i2i00000000-222i−2i2i−2i−2i2i−2i2i2i−2i2-2-22-222-200000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ0000−2ζ2ζ−2ζ32ζ3000000000000
χ832-22-222-2-22i−2i2i−2i−2i2i−2i2i2-2−2i2i00000000-222i−2i−2i2i2i−2i2i−2i−2i2i-222-22-2-22000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ0000−2ζ2ζ−2ζ32ζ3000000000000
χ842-22-222-2-22i−2i2i−2i−2i2i−2i2i2-2−2i2i00000000-222i−2i−2i2i2i−2i2i−2i−2i2i-222-22-2-2200000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ00002ζ−2ζ2ζ3−2ζ3000000000000
χ852-22-222-2-2−2i2i−2i2i2i−2i2i−2i2-22i−2i00000000-22−2i2i2i−2i−2i2i−2i2i2i−2i-222-22-2-22000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ30000−2ζ32ζ3−2ζ2ζ000000000000
χ862-22-222-2-2−2i2i−2i2i2i−2i2i−2i2-22i−2i00000000-22−2i2i2i−2i−2i2i−2i2i2i−2i-222-22-2-2200000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ300002ζ3−2ζ32ζ−2ζ000000000000
χ872-22-222-2-2−2i2i−2i2i2i−2i2i−2i2-22i−2i00000000-22−2i2i−2i2i2i−2i2i−2i−2i2i2-2-22-222-2000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ300002ζ3−2ζ32ζ−2ζ000000000000
χ882-22-222-2-2−2i2i−2i2i2i−2i2i−2i2-22i−2i00000000-22−2i2i−2i2i2i−2i2i−2i−2i2i2-2-22-222-200000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ30000−2ζ32ζ3−2ζ2ζ000000000000
χ892-2-222-2-222222-2-2-2-222-2-22-2-222-2-22-2-2222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2-22-20000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ902-2-222-2-222222-2-2-2-222-2-22-2-222-2-22-2-222−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i2-22-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ912-2-222-2-222222-2-2-2-222-2-2-222-2-222-2-2-2222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-22-2200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ922-2-222-2-222222-2-2-2-222-2-2-222-2-222-2-2-222−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-22-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ932-2-222-2-222222-2-2-2-2-2-2222-2-222-2-2222-2-20000000000000000-22-220000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ942-2-222-2-222222-2-2-2-2-2-2222-2-222-2-2222-2-20000000000000000-22-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ952-2-222-2-222222-2-2-2-2-2-222-222-2-222-222-2-200000000000000002-22-20000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ962-2-222-2-222222-2-2-2-2-2-222-222-2-222-222-2-200000000000000002-22-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ972-2-222-2-22-2-2-2-2222222222-2-22-222-2-2-2-2-22i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2-2-220000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ982-2-222-2-22-2-2-2-2222222222-2-22-222-2-2-2-2-2−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i2-2-2200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ992-2-222-2-22-2-2-2-222222222-222-22-2-22-2-2-2-22i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i-222-200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ1002-2-222-2-22-2-2-2-222222222-222-22-2-22-2-2-2-2−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i-222-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ1012-2-222-2-22-2-2-2-22222-2-2-2-22-2-22-222-222220000000000000000-222-20000000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000
χ1022-2-222-2-22-2-2-2-22222-2-2-2-22-2-22-222-222220000000000000000-222-2000000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000
χ1032-2-222-2-22-2-2-2-22222-2-2-2-2-222-22-2-22222200000000000000002-2-220000000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000
χ1042-2-222-2-22-2-2-2-22222-2-2-2-2-222-22-2-22222200000000000000002-2-22000000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000
χ105444-4-4-4-444-4-444-4-4400000000000000002i22i2−2i2−2i2−2i2−2i22i22i2−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ106444-4-4-4-444-4-444-4-440000000000000000−2i2−2i22i22i22i22i2−2i2−2i22i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000000000000000000000000000000000
χ107444-4-4-4-44-444-4-444-400000000000000002i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000000000000000000000000000000000
χ108444-4-4-4-44-444-4-444-40000000000000000−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ10944-4-44-44-44i−4i4i−4i4i−4i4i−4i-44−4i4i00000000-44−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11044-4-44-44-4−4i4i−4i4i−4i4i−4i4i-444i−4i00000000-444i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-444-4-44i−4i4i−4i−4i4i−4i4i-444i−4i000000004-4−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-444-4-4−4i4i−4i4i4i−4i4i−4i-44−4i4i000000004-44i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-4-44444-4-44-444-4000000000000000022−22−222222−22−222222−22−222222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4-4-44444-4-44-444-40000000000000000−222222−22−222222−22−222222−22−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-4444-444-44-4-44000000000000000022−22−222222−22−2222−222222−22−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4444-444-44-4-440000000000000000−222222−22−222222−2222−22−222222−22−222200000000000000000000000000000000000000000000000000000000000000000000

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