Finite Group Databasebeta

← Group #12147232

Character table — Group #12147232

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size111122222222222222444444444444444488888888888888888888888888888888888888888816161616161616161616161616202020202020202040404040404040408080
order1222224444551010101010102244101010102020202020202020222444448810101010101010102020202020202020202020202020202020202020202020208101010104040404040404040444488884444888828
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111111-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111
χ51111111111111111111111111111111111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1111-1-1
χ61111111111111111111111111111111111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111111-1-1
χ9111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1111-1-11-11-1-11-1
χ10111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-111-11-111-11
χ11111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-111-11
χ12111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-1
χ13111111111111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-11
χ14111111111111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ15111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-11-1111-1
χ16111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1111111-11-1-1-11
χ172222222222−1+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+52−1−52−1−522222222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ182222222222−1+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+52−1−52−1−5222-2-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ192222222222−1+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+52−1−52−1−52-2-22222-2-2-2-2−1+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+52-21−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ202222222222−1+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+52−1−52−1−52-2-2-2-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-22222-2-21−521−521+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+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ252222222222−1−52−1+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+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ262222222222−1−52−1+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+5222-2-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ272222222222−1−52−1+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+52-2-22222-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52-21+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ282222222222−1−52−1+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+52-2-2-2-2-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-21+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+521−521−521−521−521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-22222-2-21+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-222221+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2221+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+521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ332222-2-22-2-22222222220000-2-2-2-22-22-22-22-2002-2000000000022220000-2-2-2-20000000000000000000000000000022-2-2002200000-20000
χ342222-2-22-2-22222222220000-2-2-2-22-22-22-22-2002-2000000000022220000-2-2-2-200000000000000000000000000000-2-22200-2-20000020000
χ352222-2-22-2-22222222220000-2-2-2-22-22-22-22-200-220000000000-2-2-2-2000022220000000000000000000000000000022-2-200-2-20000020000
χ362222-2-22-2-22222222220000-2-2-2-22-22-22-22-200-220000000000-2-2-2-20000222200000000000000000000000000000-2-222002200000-20000
χ372222-2-2-222-22222222222-2-2-2-2-2-2-22-22-22-22000000000022220000-2-2-2-200000000000000000000000000000000000002200-2002-200000
χ382222-2-2-222-22222222222-2-2-2-2-2-2-22-22-22-22000000000022220000-2-2-2-20000000000000000000000000000000000000-2-200200-2200000
χ392222-2-2-222-222222222-2-222-2-2-2-2-22-22-22-220000000000-2-2-2-20000222200000000000000000000000000000000000002200200-2-200000
χ402222-2-2-222-222222222-2-222-2-2-2-2-22-22-22-220000000000-2-2-2-2000022220000000000000000000000000000000000000-2-200-2002200000
χ4122-2-22-22-22-222-2-2-2-2222-22-222-2-22-22-2-22-2200000000002-22-200002-22-20000000000000000000000000000000002i−2i2i−2i000002i−2i0000000
χ4222-2-22-22-22-222-2-2-2-2222-22-222-2-22-22-2-22-2200000000002-22-200002-22-2000000000000000000000000000000000−2i2i−2i2i00000−2i2i0000000
χ4322-2-22-22-22-222-2-2-2-222-22-2222-2-22-22-2-22-220000000000-22-220000-22-220000000000000000000000000000000002i−2i2i−2i00000−2i2i0000000
χ4422-2-22-22-22-222-2-2-2-222-22-2222-2-22-22-2-22-220000000000-22-220000-22-22000000000000000000000000000000000−2i2i−2i2i000002i−2i0000000
χ4522-2-2-2222-2-222-2-2-2-2220000-2-2222222-2-2-2-200002-20000000000000000000022-2-222-2-20000000000000000000002i−2i−2i2i00000000002i−2i00
χ4622-2-2-2222-2-222-2-2-2-2220000-2-2222222-2-2-2-200002-20000000000000000000022-2-222-2-2000000000000000000000−2i2i2i−2i0000000000−2i2i00
χ4722-2-2-2222-2-222-2-2-2-2220000-2-2222222-2-2-2-20000-2200000000000000000000-2-222-2-2220000000000000000000002i−2i−2i2i0000000000−2i2i00
χ4822-2-2-2222-2-222-2-2-2-2220000-2-2222222-2-2-2-20000-2200000000000000000000-2-222-2-222000000000000000000000−2i2i2i−2i00000000002i−2i00
χ4922-2-2-22-2-22222-2-2-2-2222-2-22-2-222-2-2-2-222222-20000002-22-22-20000-22-220000000000000000000002-22-22-22-20000000000000000000000
χ5022-2-2-22-2-22222-2-2-2-2222-2-22-2-222-2-2-2-22222-22000000-222-22-20000-22-22000000000000000000000-22-22-22-220000000000000000000000
χ5122-2-2-22-2-22222-2-2-2-222-222-2-2-222-2-2-2-222222-2000000-22-22-2200002-22-20000000000000000000002-22-2-22-220000000000000000000000
χ5222-2-2-22-2-22222-2-2-2-222-222-2-2-222-2-2-2-22222-220000002-2-22-2200002-22-2000000000000000000000-22-222-22-20000000000000000000000
χ5322-2-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1−522-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-20000002-2−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−1+521−52−1−521+52−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ5422-2-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1−522-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-20000002-2−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360−1+521−52−1−521+52−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.