Finite Group Databasebeta

← Group #11996381

Character table — Group #11996381

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222244444444444444444444444444448888888888888888888888161616161616161616161616161616161616161620202020404040404040404040408080
order1222444444551010101010102444888810101010202020202020202020202020202020208820202020404040404040404040404040404040402488101010102020202040404040404040404444248888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ81111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ911111-1-1-1-11111111111-11-1ii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-1i−i-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-11ii−i−iii−i−i1-1
χ1011111-1-1-1-11111111111-11-1ii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-1i−i-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i-1-1111-1−i−iii−i−iii-11
χ1111111-1-1-1-11111111111-11-1ii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-1i−i-1-111iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii11-1-1-11ii−i−i−i−iii-11
χ1211111-1-1-1-11111111111-11-1ii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-1i−i-1-111iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii-1-1111-1−i−iiiii−i−i1-1
χ1311111-1-1-1-11111111111-11-1−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-1−ii-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-1-11−i−iii−i−iii1-1
χ1411111-1-1-1-11111111111-11-1−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-1−ii-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii-1-1111-1ii−i−iii−i−i-11
χ1511111-1-1-1-11111111111-11-1−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-1−ii-1-111−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i11-1-1-11−i−iiiii−i−i-11
χ1611111-1-1-1-11111111111-11-1−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-1−ii-1-111−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i-1-1111-1ii−i−i−i−iii1-1
χ172222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−520000000000000000
χ182222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+5222−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+5222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ232222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+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+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ242222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+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+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ252222222-2-2222222222-2-2-220000-2-2-2-2-2-2-2-2222222-2-222-2-20022-2-200000000000000000000000000000000000022-2-22-20000000000
χ262222222-2-2222222222-2-2-220000-2-2-2-2-2-2-2-2222222-2-222-2-20022-2-2000000000000000000000000000000000000-2-222-220000000000
χ2722222-2-222222222222-22-2-20000-2-2-2-222222222-2-222-2-22200-2-2-2-20000000000000000000000000000000000002222-2-20000000000
χ2822222-2-222222222222-22-2-20000-2-2-2-222222222-2-222-2-22200-2-2-2-2000000000000000000000000000000000000-2-2-2-2220000000000
χ2922222-2-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-22i2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ3022222-2-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-22i2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522i−2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ3122222-2-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-2−2i−2i2i2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ142-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ3222222-2-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-2−2i−2i2i2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−2i2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ3322222-2-2-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-22i2i−2i−2i−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522i−2i1+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ382-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ3422222-2-2-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-22i2i−2i−2i−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522i−2i1+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ3522222-2-2-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-2−2i−2i2i2i−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−2i2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ382-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ3622222-2-2-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-2−2i−2i2i2i−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−2i2i1+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ372222-22222-222222222-2-22-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ382222-22222-222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-222-2-222-2-222-2-222000000000000000000000000000000000000
χ392222-22222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-222221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ402222-22222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-222221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ412222-22222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52221−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ422222-22222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52221−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ432222-22222-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-222221+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+52-2-21+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
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χ924-44-40−4i4i000−1−5−1+51+5−1−51−5−1+51+51−50000−2+2i2−2i−2−2i2+2i2ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ3800000000ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38000000000000000000000000000000000000
χ934-4-4440000-444-4-4-4-44400000000000000004-44-4000000000000000000000000000000000000000000000000004i−4i00000000000000
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χ1048-8-88-800008−2−25−2+252+252+252−252−25−2−25−2+2500000000000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000

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