Finite Group Databasebeta

← Group #11996508

Character table — Group #11996508

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222222222222222222222444444444444444444444444888888888888888888888888888888888888888888161616161616161616162020202040404040404080808080
order1222224444551010101010102020202020202020224444441010101010101010202020202020202022444410101010101010101010202020202020202020202020202020202020202020202020202088404040404040404044444444442488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ6111111111111111111111111111111-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ8111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111
χ91111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1111111111-1ii−i−i111111-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−iii−i−ii−iii−i−i1-11-1
χ101111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1111111111-1ii−i−i111111-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−i−i−iii−ii−i−iii-11-11
χ111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1111111111-1−i−iii111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiiiii−i−ii−iii−i−i-11-11
χ121111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1111111111-1−i−iii111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiii−i−iii−ii−i−iii1-11-1
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-111111111-11ii−i−i11-1-1-1-11111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiiiii−i−ii−i−i−iii-111-1
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-111111111-11ii−i−i11-1-1-1-11111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiii−i−iii−iiii−i−i1-1-11
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-111111111-11−i−iii11-1-1-1-11111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−iii−i−ii−i−i−iii1-1-11
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-111111111-11−i−iii11-1-1-1-11111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−i−i−iii−iiii−i−i-111-1
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+52−1−52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22222−1+52−1−521−521−521+521+521−521−521+521+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+52−1−52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+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+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+52-2-22222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+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+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+52-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+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
χ2522222222-2-22222222222222222-2-22-200002222-2-2-2-222-2-222-2-2000000-2-200000000-2-200000000000000000000000000000000002222-2-200000000
χ2622222222-2-22222222222222222-2-22-200002222-2-2-2-222-2-222-2-2000000-2-200000000-2-20000000000000000000000000000000000-2-2-2-22200000000
χ27222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-222-2-20000-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000000000
χ28222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-222-2-222220000-2-22222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ29222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-222222−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52-2-200001−521+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−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000
χ30222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-222222−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52-2-200001−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000
χ31222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-22-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−522200001−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000
χ32222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-22-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−522200001−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000
χ33222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-222222−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52-2-200001+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+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000
χ34222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-222222−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52-2-200001+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−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000
χ35222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+522200001+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000
χ36222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+522200001+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000
χ37222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2000022222222-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000000000002-22-20000
χ38222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2000022222222-2-2-2-2-2-2-2-20000002200000000-2-20000000000000000000000000000000000000000-22-220000
χ392222-2-222222222222222222222-22-2-222-2-2-2-2-2-22222-2-222-2-222-220000-2-2-2-2-2-22222-2-22222-2-2-2-20000000000000000000000000000000000000000
χ402222-2-222222222222222222222-22-2-2-2-222-2-2-2-22222-2-222-2-2222-20000-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ412222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52-2200001−521+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+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ422222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52-2200001−521+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+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ1800000000000000
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χ11488-8-8008i−8i00−2−25−2+25−2−252+25−2+252−252+252−25−4ζ3−4ζ7−4ζ3−4ζ74ζ3+4ζ74ζ3+4ζ7−4ζ11−4ζ19−4ζ11−4ζ194ζ11+4ζ194ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800−8i8i00−2+25−2−25−2+252−25−2−252+252−252+254ζ11+4ζ194ζ11+4ζ19−4ζ11−4ζ19−4ζ11−4ζ194ζ3+4ζ74ζ3+4ζ7−4ζ3−4ζ7−4ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-800−8i8i00−2−25−2+25−2−252+25−2+252−252+252−254ζ3+4ζ74ζ3+4ζ7−4ζ3−4ζ7−4ζ3−4ζ74ζ11+4ζ194ζ11+4ζ19−4ζ11−4ζ19−4ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.