Finite Group Databasebeta

← Group #10611210

Character table — Group #10611210

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size111111112222222222222222222244444444444444444444444444444444444488888888888888881010101010101010202020202020202020202020
order1222444455888810101010101020202020202020202244448888881010101020202020404040404040404040404040404040401010202020202020404040404040404022448888224444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-11-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-111-1-1
χ411111111111111111111111111111-1-1-11-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-111
χ51111111111111111111111111111-11-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-11-1-1-11-1-1-1-111
χ61111111111111111111111111111-11-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1111-11111-1-1
χ71111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1
χ81111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ91111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ101111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ111111111111-1-1-1-1111111111111111-1-1-11-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1-11-111-1-111
χ121111111111-1-1-1-1111111111111111-1-1-11-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1111-11-1-111-1-1
χ131111111111-1-1-1-111111111111111-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-111111-1-1
χ141111111111-1-1-1-111111111111111-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111
χ151111111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ161111111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1
χ171111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-1111-1-1-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-111-11-1i−ii−ii−i
χ181111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-1111-1-1-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii1-1-11-11−ii−ii−ii
χ191111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-11-1-11-11−iii−i−ii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii11-1-1ii−i−i-1-1-1111−iii−i−ii
χ201111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-11-1-11-11−iii−i−ii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii-1-111−i−iii111-1-1-1i−i−iii−i
χ211111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-1-11-111-1−ii−iii−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1−i−iiiii−i−i11-1-1ii−i−i11-11-1-1−ii−iii−i
χ221111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-1-11-111-1−ii−iii−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1−i−iiiii−i−i-1-111−i−iii-1-11-111i−ii−i−ii
χ231111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-1-1-11-111i−i−ii−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111ii−i−i−i−iii11-1-1ii−i−i1-11-1-11i−i−ii−ii
χ241111-1-1-1-111ii−i−i111111-1-1-1-1-1-1-1-1-1-11-111i−i−ii−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111ii−i−i−i−iii-1-111−i−iii-11-111-1−iii−ii−i
χ251111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-1111-1-1-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-111-11-1−ii−ii−ii
χ261111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-1111-1-1-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i1-1-11-11i−ii−ii−i
χ271111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-11-1-11-11i−i−iii−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i11-1-1−i−iii-1-1-1111i−i−iii−i
χ281111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-11-1-11-11i−i−iii−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i-1-111ii−i−i111-1-1-1−iii−i−ii
χ291111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-1-11-111-1i−ii−i−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1ii−i−i−i−iii11-1-1−i−iii11-11-1-1i−ii−i−ii
χ301111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-1-11-111-1i−ii−i−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1ii−i−i−i−iii-1-111ii−i−i-1-11-111−ii−iii−i
χ311111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-1-1-11-111−iii−ii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111−i−iiiii−i−i11-1-1−i−iii1-11-1-11−iii−ii−i
χ321111-1-1-1-111−i−iii111111-1-1-1-1-1-1-1-1-1-11-111−iii−ii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111−i−iiiii−i−i-1-111ii−i−i-11-111-1i−i−ii−ii
χ3322222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222222−1+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+52−1−5200000000000000000000
χ3422222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-22-2-2-222-2-2−1+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+5200000000000000000000
χ3522222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-2-22-2-2-2-2221−521−521+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+52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ3622222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-2-2-21−521−521+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+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ3722222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2-2-2−1+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+5200000000000000000000
χ3822222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-22-222-2-222−1+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+52−1−5200000000000000000000
χ3922222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-2-222222-2-21−521−521+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+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ4022222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-222221−521−521+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+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ4122222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1−52−1+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+5200000000000000000000
χ4222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-22-2-2-222-2-2−1−52−1−52−1+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+521−5200000000000000000000
χ4322222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-2-22-2-2-2-2221+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+521−521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ4422222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-222-2-2-2-21+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+521−521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ4522222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-2-2-2−1−52−1−52−1+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+521−5200000000000000000000
χ4622222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-22-222-2-222−1−52−1−52−1+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+5200000000000000000000
χ4722222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-2-222222-2-21+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+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ4822222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-222221+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+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ492222-2-2-2-2−1+52−1−522i2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52222-2-2-22i−2i2i−2i2i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400000000000000000000
χ502222-2-2-2-2−1+52−1−522i2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+522-2-22-22−2i2i2i−2i−2i2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ141−521+521−521+52−1+52−1−52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400000000000000000000
χ512222-2-2-2-2−1+52−1−522i2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-22-222-2−2i2i−2i2i2i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−521−521+52−1+52−1−521−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400000000000000000000
χ522222-2-2-2-2−1+52−1−522i2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-22-2222i−2i−2i2i−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521+52−1+52−1−521−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400000000000000000000
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χ552222-2-2-2-2−1+52−1−52−2i−2i2i2i−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-22-222-22i−2i2i−2i−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−521−521+52−1+52−1−521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.