Finite Group Databasebeta

← Group #11757061

Character table — Group #11757061

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size112222222222222222233444444444444444444444444444666666666666666888888888888101010101010101012121212121212121212121220202020202020203030303030303030
order1222234444556101020202020446661010101010101212121215152020202020203030606060602222444101010102020202030303030303060606060606022222244101010101010202020202020666666121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-111-1-1-111111-1-1-1-11111-11111-1-11-1-1-11111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-111111111-1-111-1-1-1-1111-1-1-11-111-1-1-1-11111-1-1111-1-1-11-11-1111-1-1-1
χ61111-111-1-1-111111-1-1-1-11111-11111-1-11-1-1-11111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-1-1-1111-11-11-1-1-1111
χ71111-111-1-1-111111-1-1-1-1-1-111-11111-1-11-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111111-1-1-1-11111-1-111-1-1-1-1111-1-1-11-1-1-11111-1-1-1-111111-1-1-11-1-11-1-1-1111
χ81111-111-1-1-111111-1-1-1-1-1-111-11111-1-11-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1111-1-1-1
χ9111-111-11-1-111111-1-1-1-1111-1111-1-111-11-1-111-1-111-1-111-1-1-1-1-11-1-11-11-1-1-1-1111111-1-111-1-111-1-111-11-1-1-11-1-111-1-111-1-11111-11-1-1-11-1111-11-1-1
χ10111-111-11-1-111111-1-1-1-1111-1111-1-111-11-1-111-1-111-1-111-1-1-1-1-11-1-11-11-1-1-1-1111111-1-111-1-111-1-1-1-11-1111-1-1-111-1-111-1-111-1-11-1111-11-1-1-11-111
χ11111-111-11-1-111111-1-1-1-1-1-11-1111-1-111-11-1-111-1-111-1-111-1-1-1-11-111-11-11111-1-1-1-111-1-111-1-111-1-111-11-1-1-1111-1-111-1-111-1-111-11-1-1-111-1-1-11-111
χ12111-111-11-1-111111-1-1-1-1-1-11-1111-1-111-11-1-111-1-111-1-111-1-1-1-11-111-11-11111-1-1-1-111-1-111-1-111-1-1-1-11-1111-111-1-111-1-111-1-1-1-11-1111-1-1111-11-1-1
χ13111-1-11-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ14111-1-11-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1
χ15111-1-11-1-111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ16111-1-11-1-111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-111
χ1711-1111-1-11-111111-1-1-1-111-111-1-11111-1-11-111-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1111-11-11-1-11-1-1-1-111-1-111111-11-11-1-11-111-11-11-1
χ1811-1111-1-11-111111-1-1-1-111-111-1-11111-1-11-111-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-111-11-11-111-1-1-1-1-111-1-11111-11-11-111-11-1-11-11-11
χ1911-1111-1-11-111111-1-1-1-1-1-1-111-1-11111-1-11-111-1-1-1-11111-1-1-1-111-111-1-11111-1-1-1-1-1-11111-1-1-1-1111-11-11-1-111111-1-111-1-1-1-11-11-11-1-111-1-11-11-11
χ2011-1111-1-11-111111-1-1-1-1-1-1-111-1-11111-1-11-111-1-1-1-11111-1-1-1-111-111-1-11111-1-1-1-1-1-11111-1-1-1-111-11-11-111-11111-1-111-1-1-1-1-11-11-111-1-111-11-11-1
χ2111-11-11-11-1111111111111-11-1-1-111-1-1-11-1111-1-111-1-1111111-11-11-11-111111111-1-111-1-1-1-111-1-11-111-11-1-1-1-111-1-1-1-111-1-11-111-11-1-1-1-11-111-11
χ2211-11-11-11-1111111111111-11-1-1-111-1-1-11-1111-1-111-1-1111111-11-11-11-111111111-1-111-1-1-1-111-1-1-11-1-11-111-1-111-1-1-1-111-1-1-11-1-11-11111-11-1-11-1
χ2311-11-11-11-11111111111-1-1-11-1-1-111-1-1-11-1111-1-111-1-11111111-11-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-11-1-111-1-11111-1-1111-111-11-1-111-11-1-11-1
χ2411-11-11-11-11111111111-1-1-11-1-1-111-1-1-11-1111-1-111-1-11111111-11-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-11-11111-1-11111-1-111-11-1-11-111-1-11-111-11
χ2511-1-1111-1-1111111111111-1-11-1-1-1-1111-1-111111-1-1-1-11111111-1-11-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11
χ2611-1-1111-1-1111111111111-1-11-1-1-1-1111-1-111111-1-1-1-11111111-1-11-1-1111111111-1-1-1-11111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1
χ2711-1-1111-1-11111111111-1-1-1-11-1-1-1-1111-1-111111-1-1-1-1111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1111-1-111111111-1-11-1-1-1-1111-1-1-11111-1
χ2811-1-1111-1-11111111111-1-1-1-11-1-1-1-1111-1-111111-1-1-1-1111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-111111111-1-1-11111-1-1-1111-1-1-1-11
χ2911-1-1-11111-111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-111-11-1111111-1-1-1-1-1-11-1-111-11-11-11-1-111-1
χ3011-1-1-11111-111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-11-11111111-1-1-1-1-1-1-111-1-11-11-11-111-1-11
χ3111-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-11-1-1-1-1-1-1-11111111-1-111-11-1-11-111-1-11
χ3211-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-11-11-1-1-1-1-1-1111111-111-1-11-111-11-1-111-1
χ332222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222222−1+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+52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ342222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2222−1+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+52−1−52−1−52-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ352222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+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+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ362222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2222−1−52−1+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+52-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000001+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ3722222-1222222-122222200-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000-1-1-1-1-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-100000000
χ3822222-1222222-122222200-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000001111111100000000
χ392222-222-2-2-2−1+52−1−522−1+52−1−521−521−521+521+522222-2−1+52−1−52−1+52−1−521−521+522-2-2-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+522-2-2-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+5200000000−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+520000000000000000
χ402222-222-2-2-2−1+52−1−522−1+52−1−521−521−521+521+52-2-222-2−1+52−1−52−1+52−1−521−521+522-2-2-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52-2222-2-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52000000001−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000
χ412222-222-2-2-2−1−52−1+522−1−52−1+521+521+521−521−522222-2−1−52−1+52−1−52−1+521+521−522-2-2-2−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−522-2-2-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−5200000000−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−520000000000000000
χ422222-222-2-2-2−1−52−1+522−1−52−1+521+521+521−521−52-2-222-2−1−52−1+52−1−52−1+521+521−522-2-2-2−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52-2222-2-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52000000001+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000000000000000
χ432222-2-12-2-2-222-122-2-2-2-200-1-112222-2-2-1111-1-122-2-2-2-2-1-11111000000000000000-1-1-1-111-1-11111222-2-2-22-2000000000000-1-1-1111-1100000000
χ442222-2-12-2-2-222-122-2-2-2-200-1-112222-2-2-1111-1-122-2-2-2-2-1-11111000000000000000-1-1-1-111-1-11111-2-2-2222-22000000000000111-1-1-11-100000000
χ45222-222-22-2-2−1+52−1−522−1+52−1−521−521−521+521+52222-22−1+52−1−521−521+52−1+52−1−52-22-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52-22-2-22-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000001−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000
χ46222-222-22-2-2−1+52−1−522−1+52−1−521−521−521+521+52-2-22-22−1+52−1−521−521+52−1+52−1−52-22-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+522-222-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+5200000000−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
χ47222-222-22-2-2−1−52−1+522−1−52−1+521+521+521−521−52222-22−1−52−1+521+521−52−1−52−1+52-22-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52-22-2-22-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000001+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+520000000000000000
χ48222-222-22-2-2−1−52−1+522−1−52−1+521+521+521−521−52-2-22-22−1−52−1+521+521−52−1−52−1+52-22-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−522-222-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−5200000000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000000000
χ49222-22-1-22-2-222-122-2-2-2-200-11-122-2-2221-111-1-1-2-222-2-2-1-11111000000000000000-1-111-1-111-1-11122-22-2-2-22000000000000-1-11-1111-100000000
χ50222-22-1-22-2-222-122-2-2-2-200-11-122-2-2221-111-1-1-2-222-2-2-1-11111000000000000000-1-111-1-111-1-111-2-22-2222-200000000000011-11-1-1-1100000000
χ51222-2-22-2-222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222-2-2−1+52−1−521−521+521−521+52-2-222−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222-2-2−1+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+52−1+52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ52222-2-22-2-222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2−1+52−1−521−521+521−521+52-2-222−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ53222-2-22-2-222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222-2-2−1−52−1+521+521−521+521−52-2-222−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ54222-2-22-2-222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+521+521−521+521−52-2-222−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+5200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
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χ1078-8000-40000884-8-80000000000000000000-4-4000000440000000000000000000000000000000000000000000000000000000000000000000
χ1088-8000-40000−2+25−2−2542−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ70000000000000001−51+5000000−1+5−1−52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000000000000000000000000
χ1098-8000-40000−2+25−2−2542−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ70000000000000001−51+5000000−1+5−1−5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000000000000000000000000
χ1108-8000-40000−2−25−2+2542+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ190000000000000001+51−5000000−1−5−1+5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000
χ1118-8000-40000−2−25−2+2542+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ190000000000000001+51−5000000−1−5−1+52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000

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