Finite Group Databasebeta

← Group #14430892

Character table — Group #14430892

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222222222222444444444444444444444444444444448888888888888888888888888888888888888812121212202020202020202020202020202020202424242424242424242424242424242424244040404060606060120120
order122222344445566610101010101012121212661010101012121515202020202020202030303030303060606060606060608824242424303030304040404040404040606060601201201201201201201201201201201201201201201201204444444488882424242424242424442020202020202020202020202020202012121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ91111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11-111-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11
χ111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-111-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-11
χ121111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-11111-11-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ131111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-1-1-111-1-1-1-11111-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ141111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-1111-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1
χ151111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-111-1-1-1-111111-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1
χ161111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11-1111-1-11111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ1722222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1+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+522222000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ1822222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1+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+52-2-2-2-20000000000000000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000
χ1922222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+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+521−521−521−521−5222220000000000000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000
χ2022222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+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+521−521−521−521−52-2-2-2-20000000000000000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ2122222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−522222000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ2222222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-20000000000000000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000
χ2322222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+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+5222220000000000000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000
χ2422222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+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+52-2-2-2-20000000000000000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ252222222-2-2-2-222222222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000222200000000-2-2-2-2000000000000000000002-2-220000000000000000000000000000002-22-2000000
χ262222222-2-2-2-222222222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000222200000000-2-2-2-200000000000000000000-222-2000000000000000000000000000000-22-22000000
χ27222222-1222222-1-1-1222222-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1000000
χ28222222-1222222-1-1-1222222-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2111111110000000000000000001111000000
χ29222222-1222222-1-1-1222222-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100002222-2-2-2-211111111000000000000000000-1-1-1-1000000
χ30222222-1222222-1-1-1222222-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000-2-2-2-22222-1-1-1-1-1-1-1-10000000000000000001111000000
χ31222222-1-2-2-2-222-1-1-12222221111-1-1222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111003−33−3-1-1-1-100000000111133−3−333−3−333−3−333−3−300002-2-22000033−3−333−3−3000000000000000000-11-11000000
χ32222222-1-2-2-2-222-1-1-12222221111-1-1222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111003−33−3-1-1-1-100000000111133−3−333−3−333−3−333−3−30000-222-20000−3−333−3−3330000000000000000001-11-1000000
χ33222222-1-2-2-2-222-1-1-12222221111-1-1222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111100−33−33-1-1-1-1000000001111−3−333−3−333−3−333−3−33300002-2-220000−3−333−3−333000000000000000000-11-11000000
χ34222222-1-2-2-2-222-1-1-12222221111-1-1222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111100−33−33-1-1-1-1000000001111−3−333−3−333−3−333−3−3330000-222-2000033−3−333−3−30000000000000000001-11-1000000
χ352222-2-222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-21+521+521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-222-2-21+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+521+521+521+521+521−521−521−521−5222-2-200000000000000002-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ362222-2-222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-21+521+521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-222-2-21+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+521+521+521+521+521−521−521−521−52-2-2220000000000000000-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ372222-2-222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-21+521+521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-20000000000000000-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ382222-2-222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-21+521+521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22200000000000000002-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ392222-2-222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-21−521−521+521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-222-2-21−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-200000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ402222-2-222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-21−521−521+521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-222-2-21−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2220000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.