Finite Group Databasebeta

← Group #362221

Character table — Group #362221

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222222222224444444444444444444444444444444444444444444488888888888888888888888888888888444444444444444444444444
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
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ281-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ291-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ301-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ311-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ321-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
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χ342222222222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22-222-2-2000000000000000022-2-222-2-22-22-22-2000000000000000022-2-222-2-20000000022-2-222-2-2000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22-222-2-2000000000000000022-2-222-2-22-22-22-20000000000000000-2-222-2-22200000000-2-222-2-222000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22-222-2-20000000000000000-2-222-2-2222-2-22-22000000000000000022-2-222-2-200000000-2-222-2-222000000000000000000000000
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χ4122222222-2-2-2-2-2-2-2-2-22-2-222000000000000000022-2-222-2-2-22-22-220000000022-2-222-2-20000000022-2-222-2-200000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-22-2-222000000000000000022-2-222-2-2-22-22-2200000000-2-222-2-22200000000-2-222-2-22200000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-22-2-2220000000000000000-2-222-2-222-222-22-20000000022-2-222-2-200000000-2-222-2-22200000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-22-2-2220000000000000000-2-222-2-222-222-22-200000000-2-222-2-2220000000022-2-222-2-200000000000000000000000000000000
χ45222-2-22-2-222-2-222-2-2222-22-222-2-222-2-222-2-222-2-200000000-2-2000000000000000000000000000000000000000000002-22-22-22-20000000000000000
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χ47222-2-22-2-222-2-222-2-2222-22-2-2-222-2-222-2-222-2-22200000000-2-2000000000000000000000000000000000000000000002-22-2-22-220000000000000000
χ48222-2-22-2-222-2-222-2-2222-22-2-2-222-2-222-2-222-2-22200000000-2-200000000000000000000000000000000000000000000-22-222-22-20000000000000000
χ49222-2-22-2-222-2-222-2-2-2-2-22-2222-2-2-2-22222-2-2-2-222000000002200000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ50222-2-22-2-222-2-222-2-2-2-2-22-2222-2-2-2-22222-2-2-2-22200000000220000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ51222-2-22-2-222-2-222-2-2-2-2-22-22-2-22222-2-2-2-22222-2-2000000002200000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ52222-2-22-2-222-2-222-2-2-2-2-22-22-2-22222-2-2-2-22222-2-200000000220000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
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χ6722-22-2-22-2-22-22-22-22000000−2i2i−2i2i0000−2i2i−2i2i0000-222-2-222-20000002i−2i002i−2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−2−i2i2i2−i2−i2i2i2−i22−2−222−2−22000000000000000000000000
χ6822-22-2-22-2-22-22-22-22000000−2i2i−2i2i0000−2i2i−2i2i0000-222-2-222-20000002i−2i002i−2i00−i2i2i2−i2−i2i2i2−i22−2−222−2−22i2−i2−i2i2i2−i2−i2i2−222−2−222−2000000000000000000000000
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χ702-22-22-22-22-22-2-22-2200000000002i−2i2i−2i0000−2i2i−2i2i2-22-2-22-22000000002i−2i00−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−2−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000000000000000
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χ962-2-2-2-22222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000
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χ10844-4-44-4-444-4-444-4-440000000000−4i4i4i−4i0000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1154-4-4444-4-4-4-44444-4-44-4-444-4000000000000000000000000-4400000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).