Finite Group Databasebeta

← Group #115708

Character table — Group #115708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222444444442222444444444444444444444444444444444444444444444444444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1211111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711-1-11-11-1ii−i−iii−i−i1-11-1ii−i−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ1811-1-11-11-1ii−i−iii−i−i1-11-1ii−i−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ1911-1-11-11-1ii−i−iii−i−i1-11-1ii−i−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ2011-1-11-11-1ii−i−iii−i−i1-11-1ii−i−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ2111-1-11-11-1ii−i−iii−i−i1-11-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ2211-1-11-11-1ii−i−iii−i−i1-11-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ2311-1-11-11-1ii−i−iii−i−i1-11-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ2411-1-11-11-1ii−i−iii−i−i1-11-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ2511-1-11-11-1−i−iii−i−iii1-11-1−i−iii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ2611-1-11-11-1−i−iii−i−iii1-11-1−i−iii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ2711-1-11-11-1−i−iii−i−iii1-11-1−i−iii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ2811-1-11-11-1−i−iii−i−iii1-11-1−i−iii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ2911-1-11-11-1−i−iii−i−iii1-11-1−i−iii1111-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ3011-1-11-11-1−i−iii−i−iii1-11-1−i−iii1111-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ3111-1-11-11-1−i−iii−i−iii1-11-1−i−iii1111-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ3211-1-11-11-1−i−iii−i−iii1-11-1−i−iii1111-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ33222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002-22-22-22-20000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-22-22-22-220000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-222-2-222-2-22-22-22-22-200000000000000000000000000000000000000002-22-22-22-20000000000000000
χ362222222222222222-2-2-2-2-2-2-2-222-2-222-2-22-22-22-22-20000000000000000000000000000000000000000-22-22-22-220000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-222-2-222-22-22-22-22000000000000000000000000000000002-22-22-22-2000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-222-2-222-22-22-22-2200000000000000000000000000000000-22-22-22-22000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002-22-2-22-220000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-22-222-22-20000000000000000000000000000000000000000
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χ4222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2-22-22-22-220000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2222-22-22-22-2000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2222-22-22-22-200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
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χ4722-2-22-22-22i2i−2i−2i2i2i−2i−2i-22-22−2i−2i2i2i22-2-2-2-2222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ30000000000000000
χ4822-2-22-22-22i2i−2i−2i2i2i−2i−2i-22-22−2i−2i2i2i22-2-2-2-2222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ30000000000000000
χ4922-2-22-22-22i2i−2i−2i2i2i−2i−2i-22-22−2i−2i2i2i-2-22222-2-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3000000000000000000000000
χ5022-2-22-22-22i2i−2i−2i2i2i−2i−2i-22-22−2i−2i2i2i-2-22222-2-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ3000000000000000000000000
χ5122-2-22-22-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i−2i2i2i-2-2-2-222222i2i−2i−2i2i2i−2i−2i00000000000000002-2-22−2i2i2i−2i0000000000000000000000000000000000000000
χ5222-2-22-22-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i−2i2i2i-2-2-2-222222i2i−2i−2i2i2i−2i−2i0000000000000000-222-22i−2i−2i2i0000000000000000000000000000000000000000
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χ5422-2-22-22-2−2i−2i2i2i−2i−2i2i2i-22-222i2i−2i−2i22-2-2-2-222−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ0000000000000000
χ5522-2-22-22-2−2i−2i2i2i−2i−2i2i2i-22-222i2i−2i−2i-2-22222-2-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ000000000000000000000000
χ5622-2-22-22-2−2i−2i2i2i−2i−2i2i2i-22-222i2i−2i−2i-2-22222-2-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ000000000000000000000000
χ572-22-2-222-22i2i−2i−2i−2i−2i2i2i2-2-222i−2i2i−2i2-22-22-22-22i2i−2i−2i−2i−2i2i2i0000000000000000000000002-22-22i−2i2i−2i00000000000000000000000000000000
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χ622-22-2-222-22i2i−2i−2i−2i−2i2i2i-222-2−2i2i−2i2i2-2-222-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000000
χ632-22-2-222-22i2i−2i−2i−2i−2i2i2i-222-2−2i2i−2i2i-222-2-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ
χ642-22-2-222-22i2i−2i−2i−2i−2i2i2i-222-2−2i2i−2i2i-222-2-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ
χ652-22-2-222-2−2i−2i2i2i2i2i−2i−2i2-2-22−2i2i−2i2i2-22-22-22-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-22-2−2i2i−2i2i00000000000000000000000000000000
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χ702-22-2-222-2−2i−2i2i2i2i2i−2i−2i-222-22i−2i2i−2i2-2-222-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000000
χ712-22-2-222-2−2i−2i2i2i2i2i−2i−2i-222-22i−2i2i−2i-222-2-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3
χ722-22-2-222-2−2i−2i2i2i2i2i−2i−2i-222-22i−2i2i−2i-222-2-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3
χ732-2-22-2-2222222-2-2-2-222-2-22-2-222-22-2-22-222222-2-2-2-20000000000000000000000002-2-222-2-2200000000000000000000000000000000
χ742-2-22-2-2222222-2-2-2-222-2-22-2-222-22-2-22-222222-2-2-2-2000000000000000000000000-222-2-222-200000000000000000000000000000000
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χ762-2-22-2-2222222-2-2-2-222-2-22-2-22-22-222-22-2-2-2-2-22222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ772-2-22-2-2222222-2-2-2-2-2-222-222-22-2-22-222-22-22-2-22-220000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ782-2-22-2-2222222-2-2-2-2-2-222-222-22-2-22-222-22-22-2-22-22000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ792-2-22-2-2222222-2-2-2-2-2-222-222-2-222-22-2-22-22-222-22-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i
χ802-2-22-2-2222222-2-2-2-2-2-222-222-2-222-22-2-22-22-222-22-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i
χ812-2-22-2-222-2-2-2-2222222-2-2-222-22-22-2-22-22-2-2-2-222220000000000000000000000002-2-22-222-200000000000000000000000000000000
χ822-2-22-2-222-2-2-2-2222222-2-2-222-22-22-2-22-22-2-2-2-22222000000000000000000000000-222-22-2-2200000000000000000000000000000000
χ832-2-22-2-222-2-2-2-2222222-2-2-222-2-22-222-22-22222-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ842-2-22-2-222-2-2-2-2222222-2-2-222-2-22-222-22-22222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ852-2-22-2-222-2-2-2-22222-2-2222-2-222-2-22-222-2-22-222-22-20000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ862-2-22-2-222-2-2-2-22222-2-2222-2-222-2-22-222-2-22-222-22-2000000000000000000000000000000000000000000000000-222-2-222-200000000
χ872-2-22-2-222-2-2-2-22222-2-2222-2-22-222-22-2-222-22-2-22-22000000000000000000000000000000000000000000000000000000002-2-222-2-22
χ882-2-22-2-222-2-2-2-22222-2-2222-2-22-222-22-2-222-22-2-22-2200000000000000000000000000000000000000000000000000000000-222-2-222-2
χ894444-4-4-4-44-44-44-44-40000000000000000000000002-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000
χ904444-4-4-4-44-44-44-44-4000000000000000000000000-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000000
χ914444-4-4-4-4-44-44-44-440000000000000000000000002-22-22-22-2-22-22-22-22000000000000000000000000000000000000000000000000
χ924444-4-4-4-4-44-44-44-44000000000000000000000000-22-22-22-222-22-22-22-2000000000000000000000000000000000000000000000000
χ9344-4-4-44-444i−4i−4i4i4i−4i−4i4i0000000000000000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ9444-4-4-44-444i−4i−4i4i4i−4i−4i4i000000000000000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ9544-4-4-44-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ9644-4-4-44-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ974-44-44-4-444i−4i−4i4i−4i4i4i−4i0000000000000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-22000000000000000000000000000000000000000000000000
χ984-44-44-4-444i−4i−4i4i−4i4i4i−4i000000000000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-2000000000000000000000000000000000000000000000000
χ994-44-44-4-44−4i4i4i−4i4i−4i−4i4i0000000000000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-2000000000000000000000000000000000000000000000000
χ1004-44-44-4-44−4i4i4i−4i4i−4i−4i4i000000000000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-22000000000000000000000000000000000000000000000000
χ1014-4-4444-4-44-44-4-44-440000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ1024-4-4444-4-44-44-4-44-44000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-44-444-44-40000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1044-4-4444-4-4-44-444-44-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000

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