Finite Group Databasebeta

← Group #495685

Character table — Group #495685

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222224444444444488881616111122222222444444444448888161611112222222244444444444888816161111222222224444444444488881616
order1222224488884881616161616161616444444444444448888488161616161616161644444422222244888848816161616161616164444444444444488884881616161616161616444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-1111111-1-1-11111-1-1-1-111-1-11-11111-1-1111111-1-1-11111-1-1-1-111-1-11-11111-1-1111111-1-1-11111-1-1-1-111-1-11-11111-1-1111111-1-1-11111-1-1-1-111-1-11-1
χ61111-1-1111111-1-1-11111-1-1-1-1-1-111-111111-1-1111111-1-1-11111-1-1-1-1-1-111-111111-1-1111111-1-1-11111-1-1-1-1-1-111-111111-1-1111111-1-1-11111-1-1-1-1-1-111-11
χ71111-1-1111111-1-1-1-1-1-1-1111111-1-1-111111-1-1111111-1-1-1-1-1-1-1111111-1-1-111111-1-1111111-1-1-1-1-1-1-1111111-1-1-111111-1-1111111-1-1-1-1-1-1-1111111-1-1-11
χ81111-1-1111111-1-1-1-1-1-1-11111-1-1111-11111-1-1111111-1-1-1-1-1-1-11111-1-1111-11111-1-1111111-1-1-1-1-1-1-11111-1-1111-11111-1-1111111-1-1-1-1-1-1-11111-1-1111-1
χ922222222-2-2-2-22-2-20000000000000022222222-2-2-2-22-2-20000000000000022222222-2-2-2-22-2-20000000000000022222222-2-2-2-22-2-200000000000000
χ10222222-2-20000-20022−2−222−2−2000000222222-2-20000-20022−2−222−2−2000000222222-2-20000-20022−2−222−2−2000000222222-2-20000-20022−2−222−2−2000000
χ11222222-2-20000-200−2−222−2−222000000222222-2-20000-200−2−222−2−222000000222222-2-20000-200−2−222−2−222000000222222-2-20000-200−2−222−2−222000000
χ122222-2-222-2-2-2-2-222000000000000002222-2-222-2-2-2-2-222000000000000002222-2-222-2-2-2-2-222000000000000002222-2-222-2-2-2-2-22200000000000000
χ132222-2-2-2-2000020022−2−2−2−2220000002222-2-2-2-2000020022−2−2−2−2220000002222-2-2-2-2000020022−2−2−2−2220000002222-2-2-2-2000020022−2−2−2−222000000
χ142222-2-2-2-20000200−2−22222−2−20000002222-2-2-2-20000200−2−22222−2−20000002222-2-2-2-20000200−2−22222−2−20000002222-2-2-2-20000200−2−22222−2−2000000
χ1522-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000
χ1622-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000
χ1722-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000
χ1822-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000
χ1922-2-2-220022−2−20−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-2-220022−2−20−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-2-220022−2−20−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-2-220022−2−20−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000
χ2022-2-2-220022−2−20−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-2-220022−2−20−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-2-220022−2−20−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-2-220022−2−20−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000
χ2122-2-2-2200−2−22202−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-2-2200−2−22202−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-2-2200−2−22202−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-2-2200−2−22202−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000
χ2222-2-2-2200−2−22202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-2-2200−2−22202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-2-2200−2−22202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-2-2200−2−22202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000
χ232-2-2200-222-22-200000000000002-2002-2-2200-222-22-200000000000002-2002-2-2200-222-22-200000000000002-2002-2-2200-222-22-200000000000002-200
χ242-2-2200-222-22-20000000000000-22002-2-2200-222-22-20000000000000-22002-2-2200-222-22-20000000000000-22002-2-2200-222-22-20000000000000-2200
χ252-2-2200-22-22-22000000000002-200002-2-2200-22-22-22000000000002-200002-2-2200-22-22-22000000000002-200002-2-2200-22-22-22000000000002-20000
χ262-2-2200-22-22-2200000000000-2200002-2-2200-22-22-2200000000000-2200002-2-2200-22-22-2200000000000-2200002-2-2200-22-22-2200000000000-220000
χ274-44-4000022−22−2222000000000000000004-44-4000022−22−2222000000000000000004-44-4000022−22−2222000000000000000004-44-4000022−22−222200000000000000000
χ284-44-40000−222222−22000000000000000004-44-40000−222222−22000000000000000004-44-40000−222222−22000000000000000004-44-40000−222222−2200000000000000000
χ294-4-44004-40000000000000000000004-4-44004-40000000000000000000004-4-44004-40000000000000000000004-4-44004-4000000000000000000000
χ3011111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3111111111111111111111111-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ32111111111111111-1-1-1-1-1-1-1-11111-1-1iiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii
χ33111111111111111-1-1-1-1-1-1-1-1-1-1-1-111iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i
χ341111-1-1111111-1-1-11111-1-1-1-111-1-11-1iiii−i−iiiiiii−i−i−iiiii−i−i−i−iii−i−ii−i-1-1-1-111-1-1-1-1-1-1111-1-1-1-11111-1-111-11−i−i−i−iii−i−i−i−i−i−iiii−i−i−i−iiiii−i−iii−ii
χ351111-1-1111111-1-1-11111-1-1-1-1-1-111-11iiii−i−iiiiiii−i−i−iiiii−i−i−i−i−i−iii−ii-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111111-1-11-1−i−i−i−iii−i−i−i−i−i−iiii−i−i−i−iiiiiii−i−ii−i
χ361111-1-1111111-1-1-1-1-1-1-1111111-1-1-11iiii−i−iiiiiii−i−i−i−i−i−i−iiiiiii−i−i−ii-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1111-1−i−i−i−iii−i−i−i−i−i−iiiiiiii−i−i−i−i−i−iiii−i
χ371111-1-1111111-1-1-1-1-1-1-11111-1-1111-1iiii−i−iiiiiii−i−i−i−i−i−i−iiiii−i−iiii−i-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-11−i−i−i−iii−i−i−i−i−i−iiiiiiii−i−i−i−iii−i−i−ii
χ3822222222-2-2-2-22-2-2000000000000002i2i2i2i2i2i2i2i−2i−2i−2i−2i2i−2i−2i00000000000000-2-2-2-2-2-2-2-22222-22200000000000000−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i2i2i00000000000000
χ39222222-2-20000-20022−2−222−2−20000002i2i2i2i2i2i−2i−2i0000−2i00i2i2−i2−i2i2i2−i2−i2000000-2-2-2-2-2-2220000200−2−222−2−222000000−2i−2i−2i−2i−2i−2i2i2i00002i00−i2−i2i2i2−i2−i2i2i2000000
χ40222222-2-20000-200−2−222−2−2220000002i2i2i2i2i2i−2i−2i0000−2i00−i2−i2i2i2−i2−i2i2i2000000-2-2-2-2-2-222000020022−2−222−2−2000000−2i−2i−2i−2i−2i−2i2i2i00002i00i2i2−i2−i2i2i2−i2−i2000000
χ412222-2-222-2-2-2-2-222000000000000002i2i2i2i−2i−2i2i2i−2i−2i−2i−2i−2i2i2i00000000000000-2-2-2-222-2-222222-2-200000000000000−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i2i−2i−2i00000000000000
χ422222-2-2-2-2000020022−2−2−2−2220000002i2i2i2i−2i−2i−2i−2i00002i00i2i2−i2−i2−i2−i2i2i2000000-2-2-2-222220000-200−2−22222−2−2000000−2i−2i−2i−2i2i2i2i2i0000−2i00−i2−i2i2i2i2i2−i2−i2000000
χ432222-2-2-2-20000200−2−22222−2−20000002i2i2i2i−2i−2i−2i−2i00002i00−i2−i2i2i2i2i2−i2−i2000000-2-2-2-222220000-20022−2−2−2−222000000−2i−2i−2i−2i2i2i2i2i0000−2i00i2i2−i2−i2−i2−i2i2i2000000
χ4422-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ50000002i2i−2i−2i2i−2i00i2i2−i2−i20i2−i2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000-2-222-2200−2−2220−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000−2i−2i2i2i−2i2i00−i2−i2i2i20−i2i2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000
χ4522-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ50000002i2i−2i−2i2i−2i00i2i2−i2−i20i2−i2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000-2-222-2200−2−2220−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000−2i−2i2i2i−2i2i00−i2−i2i2i20−i2i2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000
χ4622-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ70000002i2i−2i−2i2i−2i00−i2−i2i2i20−i2i2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000-2-222-220022−2−202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000−2i−2i2i2i−2i2i00i2i2−i2−i20i2−i2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000
χ4722-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ70000002i2i−2i−2i2i−2i00−i2−i2i2i20−i2i2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000-2-222-220022−2−202−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000−2i−2i2i2i−2i2i00i2i2−i2−i20i2−i2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000
χ4822-2-2-220022−2−20−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ50000002i2i−2i−2i−2i2i00i2i2−i2−i20−i2i2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000-2-2222-200−2−22202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000−2i−2i2i2i2i−2i00−i2−i2i2i20i2−i2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000
χ4922-2-2-220022−2−20−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ50000002i2i−2i−2i−2i2i00i2i2−i2−i20−i2i2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000-2-2222-200−2−22202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000−2i−2i2i2i2i−2i00−i2−i2i2i20i2−i2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000
χ5022-2-2-2200−2−22202−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ70000002i2i−2i−2i−2i2i00−i2−i2i2i20i2−i2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000-2-2222-20022−2−20−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000−2i−2i2i2i2i−2i00i2i2−i2−i20−i2i2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000
χ5122-2-2-2200−2−22202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ70000002i2i−2i−2i−2i2i00−i2−i2i2i20i2−i2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000-2-2222-20022−2−20−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000−2i−2i2i2i2i−2i00i2i2−i2−i20−i2i2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000
χ522-2-2200-222-22-200000000000002-2002i−2i−2i2i00−2i2i2i−2i2i−2i00000000000002i−2i00-222-2002-2-22-220000000000000-2200−2i2i2i−2i002i−2i−2i2i−2i2i0000000000000−2i2i00
χ532-2-2200-222-22-20000000000000-22002i−2i−2i2i00−2i2i2i−2i2i−2i0000000000000−2i2i00-222-2002-2-22-2200000000000002-200−2i2i2i−2i002i−2i−2i2i−2i2i00000000000002i−2i00
χ542-2-2200-22-22-22000000000002-200002i−2i−2i2i00−2i2i−2i2i−2i2i000000000002i−2i0000-222-2002-22-22-200000000000-220000−2i2i2i−2i002i−2i2i−2i2i−2i00000000000−2i2i0000
χ552-2-2200-22-22-2200000000000-2200002i−2i−2i2i00−2i2i−2i2i−2i2i00000000000−2i2i0000-222-2002-22-22-2000000000002-20000−2i2i2i−2i002i−2i2i−2i2i−2i000000000002i−2i0000
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χ62111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
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χ641111-1-1111111-1-1-11111-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111111-1-11-11111-1-1111111-1-1-11111-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111111-1-11-1
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χ10922-2-2-2200−2−22202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000−2i−2i2i2i2i−2i00i2i2−i2−i20−i2i2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000-2-2222-20022−2−20−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ70000002i2i−2i−2i−2i2i00−i2−i2i2i20i2−i2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000
χ1102-2-2200-222-22-200000000000002-200−2i2i2i−2i002i−2i−2i2i−2i2i0000000000000−2i2i00-222-2002-2-22-220000000000000-22002i−2i−2i2i00−2i2i2i−2i2i−2i00000000000002i−2i00
χ1112-2-2200-222-22-20000000000000-2200−2i2i2i−2i002i−2i−2i2i−2i2i00000000000002i−2i00-222-2002-2-22-2200000000000002-2002i−2i−2i2i00−2i2i2i−2i2i−2i0000000000000−2i2i00
χ1122-2-2200-22-22-22000000000002-20000−2i2i2i−2i002i−2i2i−2i2i−2i00000000000−2i2i0000-222-2002-22-22-200000000000-2200002i−2i−2i2i00−2i2i−2i2i−2i2i000000000002i−2i0000
χ1132-2-2200-22-22-2200000000000-220000−2i2i2i−2i002i−2i2i−2i2i−2i000000000002i−2i0000-222-2002-22-22-2000000000002-200002i−2i−2i2i00−2i2i−2i2i−2i2i00000000000−2i2i0000
χ1144-44-4000022−22−222200000000000000000−4i4i−4i4i0000−2i22i22i2−2i200000000000000000-44-440000−222222−22000000000000000004i−4i4i−4i00002i2−2i2−2i22i200000000000000000
χ1154-44-40000−222222−2200000000000000000−4i4i−4i4i00002i2−2i2−2i22i200000000000000000-44-44000022−22−2222000000000000000004i−4i4i−4i0000−2i22i22i2−2i200000000000000000
χ1164-4-44004-4000000000000000000000−4i4i4i−4i00−4i4i000000000000000000000-444-400-440000000000000000000004i−4i−4i4i004i−4i000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.