Finite Group Databasebeta

← Group #13016988

Character table — Group #13016988

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222224444444455555555888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101616161616161616404040404040404040404040
order12222222444488888888510101010101010444444442244202020204040404040404040444488888888888888888888888888888888888888881010101020202020444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1ii−i−iii−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−iii−i−iii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii−i−iii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111ii−i−iii−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ10111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1
χ11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ12111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-11111
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1−i−iiiii−i−i
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χ201-1-11-11-1111-1-1iiii−i−i−i−i111-1-1-11-111-1-111-1-1-11−ii11-1-1iiii−i−i−i−i-1-111iiii−i−i−i−i−i−iii−i−iii−i−iii−i−iii-1-1-1-11111-1-1-1-11111-1-111−i−iii−ii-111-11-1i−ii−i
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χ241-1-11-11-1111-1-1iiii−i−i−i−i111-1-1-11-1-1-111-1-111-11−ii11-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiii−i1-1−iii−i1-1-11
χ251-1-11-11-1111-1-1−i−i−i−iiiii111-1-1-11-111-1-111-1-11-1−ii11-1-1−i−i−i−iiiii-1-111−i−i−i−iiiiiii−i−iii−i−iii−i−iii−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−iii−ii1-1-11-11i−ii−i
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χ281-1-11-11-1111-1-1−i−i−i−iiiii111-1-1-11-111-1-111-1-1-11i−i11-1-1−i−i−i−iiiii-1-111−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1-1-111ii−i−ii−i-11-11-11i−ii−i
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χ10988-8-8-888-800004i2−4i2−4i24i24i2−4i2−4i24i2-22-2-22-2220000000000000000−i2i2i2−i2−i2i2i2−i20000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-888-80000−4i24i24i2−4i2−4i24i24i2−4i2-22-2-22-2220000000000000000i2−i2−i2i2i2−i2−i2i20000000000000000000000000000000000000000000000000000000000000000
χ1118-888-8-88-8-888-800000000-2222-2-2-220000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-888-8-8000042−42−4242−424242−42-22-22-222-20000000000000000−222−22−2−220000000000000000000000000000000000000000000000000000000000000000
χ1138-88-888-8-80000−424242−4242−42−4242-22-22-222-200000000000000002−2−22−222−20000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-88-8-88800000000-2-2-2222-2200000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8-88-88800004242−42−42−42−424242-2-2222-22-20000000000000000−2−22222−2−20000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8-88-8880000−42−4242424242−42−42-2-2222-22-2000000000000000022−2−2−2−2220000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.