Finite Group Databasebeta

← Group #12003699

Character table — Group #12003699

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222224444444444444444444444888888888888888888888888161616161616161616161616161616161616161620202020202020204040404080808080
order1222222222444455101010101010441010101010101010101010102020202020202020888820202020404040404040404040404040404040404444202020202020202020202020202020208888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-11
χ811111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1
χ922222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+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
χ1022222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000
χ1122222222222222−1+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+52−1−52−1−52-2-2-2-2−1+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
χ1222222222222222−1+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+52−1−52−1−52-2-2-2-2−1+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
χ1322222222222222−1−52−1+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+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
χ1422222222222222−1−52−1+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+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
χ1522222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+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
χ1622222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+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
χ172222222222-2-2-2-222222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000000000000000022-2-20000
χ182222222222-2-2-2-222222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000000000000000-2-2220000
χ1922222-22-2-2-222-2-2222222222-22-2-2-22-2-2-22-22-22222-2-2-2-200002-22-20000000000000000002i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ2022222-22-2-2-222-2-2222222222-22-2-2-22-2-2-22-22-22222-2-2-2-200002-22-2000000000000000000−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ2122222-22-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+521−521−521−52−1−521+521+521+52−1+521−52−1−521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+521−52−1−521+52−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14002i−2iζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000000000000000
χ2222222-22-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+521−521−521−52−1−521+521+521+52−1+521−52−1−521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+521−52−1−521+52−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ1400−2i2i−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000000000000000
χ2322222-22-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+521−521−521−52−1−521+521+521+52−1+521−52−1−521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+521−52−1−521+52ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14002i−2i−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000000000000000
χ2422222-22-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+521−521−521−52−1−521+521+521+52−1+521−52−1−521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+521−52−1−521+52ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ1400−2i2iζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000000000000000
χ2522222-22-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−521+521+521+52−1+521−521−521−52−1−521+52−1+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−521+52−1+521−52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38002i−2iζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000000000000000
χ2622222-22-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−521+521+521+52−1+521−521−521−52−1−521+52−1+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−521+52−1+521−52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ3800−2i2i−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000000000000000
χ2722222-22-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−521+521+521+52−1+521−521−521−52−1−521+52−1+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−521+52−1+521−52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38002i−2i−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000000000000000
χ2822222-22-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−521+521+521+52−1+521−521−521−52−1−521+52−1+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−521+52−1+521−52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ3800−2i2iζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000000000000000
χ2922222-22-2-2-2-2-22222222222-222-2-2-22-2-2-22-22-2-2-2-2-222220000-22-2200000000000000000000000000000000000000000000000020-20
χ3022222-22-2-2-2-2-22222222222-222-2-2-22-2-2-22-22-2-2-2-2-222220000-22-22000000000000000000000000000000000000000000000000-2020
χ312222-22-22-2-222-2-222222222-22-22-2-2-22-2-2-22-222222-2-2-2-20000-22-2200000000000000002i−2i002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ322222-22-22-2-222-2-222222222-22-22-2-2-22-2-2-22-222222-2-2-2-20000-22-220000000000000000−2i2i00−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ332222-22-22-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−52−1+521−521−521+52−1−521+521+521−52−1+521+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200001−52−1+521+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ142i−2i00−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ360000000000000000
χ342222-22-22-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−52−1+521−521−521+52−1−521+521+521−52−1+521+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200001−52−1+521+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−2i2i00ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ360000000000000000
χ352222-22-22-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−52−1+521−521−521+52−1−521+521+521−52−1+521+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200001−52−1+521+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ142i−2i00−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ360000000000000000
χ362222-22-22-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−52−1+521−521−521+52−1−521+521+521−52−1+521+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200001−52−1+521+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−2i2i00ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ360000000000000000
χ372222-22-22-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+52−1−521+521+521−52−1+521−521−521+52−1−521−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200001+52−1−521−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ382i−2i00−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ280000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.