Finite Group Databasebeta

← Group #10607720

Character table — Group #10607720

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888101010101010101010101010101010102020202020202020
order1222222244444444551010101010101010101010101010444444444420202020202020202020202020202020202020202020202020202020202020202020202020202020444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ6111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ7111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111-1-1-1-1
χ8111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ911111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ1011111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ1111111111-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ1211111111-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ171-11-11-1-1111-1-1ii−i−i1111-1-1-1-111-1-111-1-11-11-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−ii−i1-11-11-1
χ181-11-11-1-1111-1-1ii−i−i1111-1-1-1-111-1-111-1-11-11-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i-1-111−i−iii−i−iii−i−iii−ii-11-11-11
χ191-11-11-1-1111-1-1ii−i−i1111-1-1-1-111-1-111-1-1-11-11i−i−ii−ii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii11-1-1ii−i−i−i−iii−i−iiii−i1-1-11-11
χ201-11-11-1-1111-1-1ii−i−i1111-1-1-1-111-1-111-1-1-11-11i−i−ii−ii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii-1-111−i−iiiii−i−iii−i−i−ii-111-11-1
χ211-11-11-1-1111-1-1−i−iii1111-1-1-1-111-1-111-1-11-11-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−ii1-11-11-1
χ221-11-11-1-1111-1-1−i−iii1111-1-1-1-111-1-111-1-11-11-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii-1-111ii−i−iii−i−iii−i−ii−i-11-11-11
χ231-11-11-1-1111-1-1−i−iii1111-1-1-1-111-1-111-1-1-11-11−iii−ii−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i11-1-1−i−iiiii−i−iii−i−i−ii1-1-11-11
χ241-11-11-1-1111-1-1−i−iii1111-1-1-1-111-1-111-1-1-11-11−iii−ii−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i-1-111ii−i−i−i−iii−i−iiii−i-111-11-1
χ251-11-11-1-11-1-111ii−i−i1111-1-1-1-111-1-111-1-11-1-11−iii−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii11-1-1ii−i−iii−i−i−i−iii−ii-111-1-11
χ261-11-11-1-11-1-111ii−i−i1111-1-1-1-111-1-111-1-11-1-11−iii−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii-1-111−i−iii−i−iiiii−i−ii−i1-1-111-1
χ271-11-11-1-11-1-111ii−i−i1111-1-1-1-111-1-111-1-1-111-1−ii−iii−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i11-1-1ii−i−i−i−iiiii−i−i−ii-11-111-1
χ281-11-11-1-11-1-111ii−i−i1111-1-1-1-111-1-111-1-1-111-1−ii−iii−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiii−i1-11-1-11
χ291-11-11-1-11-1-111−i−iii1111-1-1-1-111-1-111-1-11-1-11i−i−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i11-1-1−i−iii−i−iiiii−i−ii−i-111-1-11
χ301-11-11-1-11-1-111−i−iii1111-1-1-1-111-1-111-1-11-1-11i−i−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i-1-111ii−i−iii−i−i−i−iii−ii1-1-111-1
χ311-11-11-1-11-1-111−i−iii1111-1-1-1-111-1-111-1-1-111-1i−ii−i−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii11-1-1−i−iiiii−i−i−i−iiii−i-11-111-1
χ321-11-11-1-11-1-111−i−iii1111-1-1-1-111-1-111-1-1-111-1i−ii−i−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−ii1-11-1-11
χ332222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ342222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ352222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ362222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ37222222222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ38222222222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ40222222222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ4122222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ4222222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ4322222222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ4422222222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2222222-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222-2-2221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2222222-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ49222-2-2-22-22-22-2000022-2-2222222-2-2-2-2-2-200000000002-22-22-22-200000000000000000000000000000000000000002-22-22-22-200000000
χ50222-2-2-22-22-22-2000022-2-2222222-2-2-2-2-2-200000000002-22-22-22-20000000000000000000000000000000000000000-22-22-22-2200000000
χ51222-2-2-22-2-22-22000022-2-2222222-2-2-2-2-2-20000000000-22-22-22-2200000000000000000000000000000000000000002-22-2-22-2200000000
χ52222-2-2-22-2-22-22000022-2-2222222-2-2-2-2-2-20000000000-22-22-22-220000000000000000000000000000000000000000-22-222-22-200000000
χ5322-2-2-22-2200002i−2i2i−2i22222-22-2-2-2-2-2-2-2220000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2i−2i2-22-20000000000000000
χ5422-2-2-22-2200002i−2i2i−2i22222-22-2-2-2-2-2-2-2220000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000−2i2i−2i2i-22-220000000000000000
χ5522-2-2-22-220000−2i2i−2i2i22222-22-2-2-2-2-2-2-222000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000002i−2i2i−2i-22-220000000000000000
χ5622-2-2-22-220000−2i2i−2i2i22222-22-2-2-2-2-2-2-222000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i−2i2i2-22-20000000000000000
χ572-222-22-2-22-2-22000022-2-2-2-2-2-22222-2-22200000000002-22-2-22-2200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ582-222-22-2-22-2-22000022-2-2-2-2-2-22222-2-22200000000002-22-2-22-220000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.