Finite Group Databasebeta

← Group #12075953

Character table — Group #12075953

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222222222222222222222444444444444444444444444888888888888888888888888888888888888888888161616161616161616164040404040404040404040408080
order1222224444551010101010101010101010101010444444442020202020202020202020202020202044888820202020202020202020202020202020202020204040404040404040404040404040404044202020202020202024444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-111-1-111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1
χ6111111111111111111111111111-1-111-1-111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ7111111111111111111111111111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-111
χ8111111111111111111111111111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1111111-1-1
χ91111-1-1111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111111-1-1-1-111-1-1-1-111-1111-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-1111-1-111-1-11-1
χ101111-1-1111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111111-1-1-1-111-1-1-1-111-1111-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-111-1-111-11
χ111111-1-1111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111111-1-1-1-111-1-1-1-111-11-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-111111-1-1111-1-1-1-111-11
χ121111-1-1111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111111-1-1-1-111-1-1-1-111-11-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-111-1-1-11111-1-11-1
χ131111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111111-1-1-11
χ141111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-11111-1-1-1-1-1111-1
χ151111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-11-1-1-1-1111-1-1111-1
χ161111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-11111-1-1-111-1-1-11
χ172222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000000000
χ182222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−5222-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+5200000000000000
χ192222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-222-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222221−521−521+521+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000000
χ202222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-222-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-21−521−521+521+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+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ212222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000
χ222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+5222-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−5200000000000000
χ232222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-222-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222221+521+521−521−521+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000000
χ242222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-222-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-21+521+521−521−521+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+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2522222222-2-22222222222222222-222-22-2-2-2-2-2-2-2-2-2-2-2222222222-20000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ2622222222-2-22222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-222222222-22000022222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ2722222222-2-2−1+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+52−1−52-222-22-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-200001−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ2822222222-2-2−1+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+52−1−52-222-22-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-200001−521−521+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−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ2922222222-2-2−1+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+52−1−52-2-2-2-2222-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-220000−1+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+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ3022222222-2-2−1+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+52−1−52-2-2-2-2222-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-220000−1+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−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ3122222222-2-2−1−52−1+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+52-222-22-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-200001+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−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ3222222222-2-2−1−52−1+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+52-222-22-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-200001+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+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ3322222222-2-2−1−52−1+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+52-2-2-2-2222-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-220000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ3422222222-2-2−1−52−1+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+52-2-2-2-2222-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-220000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ35222222-2-2222222222222222222-2002-200-222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000022-200-200000000
χ36222222-2-2222222222222222222-2002-200-222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-20000000000000000000000000000000000-2-2200200000000
χ37222222-2-2-2-22222222222222222200-2-2002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000222200000000000000000000000000000000000002-202-2000000
χ38222222-2-2-2-22222222222222222200-2-2002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000022220000000000000000000000000000000000000-220-22000000
χ392222-2-22222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2-2-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ402222-2-22222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2-2-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52-22-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+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+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ412222-2-22222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−522-222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+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+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.