Finite Group Databasebeta

← Group #13145575

Character table — Group #13145575

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424245454545454545454727272727272
order1244233333466666888812121212121212121212333366666666666666666121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242466666666121212121212121216161616161616168824242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−ii−iii−i−i
χ611-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii−i−iii
χ711-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−ii−i−iii
χ811-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiiii−iii−i−i
χ92222222222222222-2-2-2-22222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
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χ112222222-1-1-1222-1-1-1222222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000000000
χ122222222-1-1-1222-1-1-1-2-2-2-222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-21111111111111111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000
χ132222222-1-1-1222-1-1-1-2-2-2-222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-21111111111111111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000
χ14222222-12-1-122-12-1-12222-1-122-1-1-1-122-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-100000000000000
χ15222222-12-1-122-12-1-12222-1-122-1-1-1-122-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-211-21111-211-21100000000000000
χ16222222-12-1-122-12-1-1-2-2-2-2-1-122-1-1-1-122-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-211111111111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000000000
χ17222222-12-1-122-12-1-1-2-2-2-2-1-122-1-1-1-122-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-211111111111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000000000
χ18222222-1-12-122-1-12-12222-1-1-1-122-1-122-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ19222222-1-12-122-1-12-12222-1-1-1-122-1-122-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2111-2111-2111-2111-200000000000000
χ20222222-1-12-122-1-12-1-2-2-2-2-1-1-1-122-1-122-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-2-2111111111111-2-2-2-2-2-2111111-2-2111111111111-2-2-2-2-2-211111100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000000000
χ21222222-1-12-122-1-12-1-2-2-2-2-1-1-1-122-1-122-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-2-2111111111111-2-2-2-2-2-2111111-2-2111111111111-2-2-2-2-2-211111100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000000000
χ22222222-1-1-1222-1-1-122222-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-12-12-1-1-1-1-12-12-100000000000000
χ23222222-1-1-1222-1-1-122222-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-21111-21-211111-21-2100000000000000
χ24222222-1-1-1222-1-1-12-2-2-2-2-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-2-2111111111111111111-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000000000
χ25222222-1-1-1222-1-1-12-2-2-2-2-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-2-2111111111111111111-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000000000
χ2622222-122222-12222222222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10000000000000000000000000022-1-1-1-1
χ2722222-122222-12222222222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-100000000000000000000000000-2-21111
χ2822222-122222-12222-2-2-2-222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-21111-2-21111-2-21111-2-2111111-2-21111-2-21111-2-21111-2-211110000000000000000000000000000−i3i3−i3i3
χ2922222-122222-12222-2-2-2-222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-21111-2-21111-2-21111-2-2111111-2-21111-2-21111-2-21111-2-211110000000000000000000000000000i3−i3i3−i3
χ302222-222222-222222000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000022−2−222−2−2000000
χ312222-222222-222222000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000−2−222−2−222000000
χ3222-2-2222222-2222220000-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i2000000
χ3322-2-2222222-2222220000-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i2000000
χ3422-2-2-222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222222222200000000000000000000000000000000
χ3522-2-2-222-1-1-1222-1-1-122-2-2-2-2111111-2-22-1-1-1-2-2111-2-21111112-1-1-1-2-211111122-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111112-222-1-1-1-1-1-1-2-211111100000000000000
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χ4322-2-2-22-1-12-122-1-12-122-2-21111-2-211-2-2-1-12-1-211-211111-2-211-1-12-11111-2-2112-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2111111111111-2-2-2-2-2-21111112-2-1-1-12-1-1-12111-2111-200000000000000
χ4422-2-2-22-1-12-122-1-12-122-2-21111-2-211-2-2-1-12-1-211-211111-2-211-1-12-11111-2-2112-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2111111111111-2-2-2-2-2-2111111-22111-2111-2-1-1-12-1-1-1200000000000000
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χ4622-2-2-22-1-12-122-1-12-1-2-2221111-2-211-2-2-1-12-1-211-211111-2-211-1-12-11111-2-2112-1-12-1-1-1-1-122-1-1-2-2111111111111-2-2-2-2-2-211111122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i3000000000000000
χ4722-2-2-22-1-1-1222-1-1-1222-2-2111111-2-2-2-2-1-1-12-2111-2111111-2-2-1-1-12111111-2-22-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2111111111111111111-2-2-2-2-2-22-2-1-1-1-12-12-11111-21-2100000000000000
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χ1454-4−4i4i0-2-24-2-2022-42222−222i2−2i22i−2i−4i4i2i−2i2i−2i2i−2i1-211000003-3003-3-33-12-1-1−ii2i−2i−ii−ii00000−3i3i00−3i3i3i−3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4622−22−2−222−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−i2i2−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462i2−2i2−i2−i2i2i2−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ4600000000000000000000000000000000
χ1464-4−4i4i0-2-24-2-2022-42222−222i2−2i22i−2i−4i4i2i−2i2i−2i2i−2i1-21100000-3300-333-3-12-1-1−ii2i−2i−ii−ii000003i−3i003i−3i−3i3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4622−22−2−222−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462i2−2i2−i2−i2i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ4600000000000000000000000000000000
χ1474-4−4i4i0-2-24-2-2022-422−2222−2i22i22i−2i−4i4i2i−2i2i−2i2i−2i1-211000003-3003-3-33-12-1-1−ii2i−2i−ii−ii00000−3i3i00−3i3i3i−3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−222222−2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46i2−i2i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2i22i2i2i2−i2−i2i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ4600000000000000000000000000000000
χ1484-4−4i4i0-2-24-2-2022-422−2222−2i22i22i−2i−4i4i2i−2i2i−2i2i−2i1-21100000-3300-333-3-12-1-1−ii2i−2i−ii−ii000003i−3i003i−3i−3i3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−222222−2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46i2−i2i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2i22i2i2i2−i2−i2i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ4600000000000000000000000000000000
χ1494-4−4i4i0-2-2-24-20222-4222−222i2−2i22i−2i2i−2i−4i4i2i−2i2i−2i11-21000003-3-33003-3-1-12-1−ii−ii2i−2i−ii00000−3i3i3i−3i00−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4622−22−2−222−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−i2i2−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462i2−2i2−i2−i2i2i2−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ4600000000000000000000000000000000
χ1504-4−4i4i0-2-2-24-20222-4222−222i2−2i22i−2i2i−2i−4i4i2i−2i2i−2i11-2100000-333-300-33-1-12-1−ii−ii2i−2i−ii000003i−3i−3i3i003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4622−22−2−222−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462i2−2i2−i2−i2i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ4600000000000000000000000000000000
χ1514-4−4i4i0-2-2-24-20222-42−2222−2i22i22i−2i2i−2i−4i4i2i−2i2i−2i11-21000003-3-33003-3-1-12-1−ii−ii2i−2i−ii00000−3i3i3i−3i00−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−222222−2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46i2−i2i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2i22i2i2i2−i2−i2i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ4600000000000000000000000000000000
χ1524-4−4i4i0-2-2-24-20222-42−2222−2i22i22i−2i2i−2i−4i4i2i−2i2i−2i11-2100000-333-300-33-1-12-1−ii−ii2i−2i−ii000003i−3i−3i3i003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−222222−2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46i2−i2i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2i22i2i2i2−i2−i2i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ4600000000000000000000000000000000
χ1534-4−4i4i0-2-2-2-2402222-422−222i2−2i22i−2i2i−2i2i−2i−4i4i2i−2i111-2000003-33-3-3300-1-1-12−ii−ii−ii2i−2i00000−3i3i−3i3i3i−3i00−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4622−22−2−222−i2i2−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462i2−2i2−i2−i2i2i200000000000000000000000000000000
χ1544-4−4i4i0-2-2-2-2402222-422−222i2−2i22i−2i2i−2i2i−2i−4i4i2i−2i111-200000-33-333-300-1-1-12−ii−ii−ii2i−2i000003i−3i3i−3i−3i3i00−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4622−22−2−222−i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462i2−2i2−i2−i2i2i200000000000000000000000000000000
χ1554-4−4i4i0-2-2-2-2402222-4−2222−2i22i22i−2i2i−2i2i−2i−4i4i2i−2i111-2000003-33-3-3300-1-1-12−ii−ii−ii2i−2i00000−3i3i−3i3i3i−3i002−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−222222−2−2i2−i2i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2i22i2i2i2−i2−i200000000000000000000000000000000
χ1564-4−4i4i0-2-2-2-2402222-4−2222−2i22i22i−2i2i−2i2i−2i−4i4i2i−2i111-200000-33-333-300-1-1-12−ii−ii−ii2i−2i000003i−3i3i−3i−3i3i002−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−222222−2−2i2−i2i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2i22i2i2i2−i2−i200000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.