Finite Group Databasebeta

← Group #72229934

Character table — Group #72229934

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size1111222222222222222222444444444444444444444444441818181836362222444444444444444444888888888888888888888888883636363672722222444444444444444444888888888888888888888888883636363672725555101010101010101010101010101010101010202020202020202020202020202020202020202020202020202090909090180180
order122222333366666666666644666666661212121212121212121212121212121222222451010101010151515153030303030303030303030302020303030303030303060606060606060606060606060606060101010101020510101010101515151530303030303030303030303020203030303030303030606060606060606060606060606060601010101010202222226666666666666666446666666612121212121212121212121212121212222224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11111-1-111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11111-1-111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11111-1-111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-1
χ61111-1-111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111111-1-111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111111-1-111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111111-1-111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11
χ71111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11
χ81111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1
χ92222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000
χ102222222-1-1-12-1-1-122-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2111111-2-21111110000002222222-1-1-12-1-1-122-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2111111-2-21111110000002222222-1-1-12-1-1-122-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2111111-2-21111110000002222222-1-1-12-1-1-122-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2111111-2-2111111000000
χ11222222-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000222222-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000222222-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000222222-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000
χ12222222-12-1-1-12-1-1-1-122-1-1-1-1-2-2-1-122-1-1-1-111-2-2111111-2-21111000000222222-12-1-1-12-1-1-1-122-1-1-1-1-2-2-1-122-1-1-1-111-2-2111111-2-21111000000222222-12-1-1-12-1-1-1-122-1-1-1-1-2-2-1-122-1-1-1-111-2-2111111-2-21111000000222222-12-1-1-12-1-1-1-122-1-1-1-1-2-2-1-122-1-1-1-111-2-2111111-2-21111000000
χ13222222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000222222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000222222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000222222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000
χ14222222-1-12-1-1-12-1-1-1-1-122-1-1-2-2-1-1-1-122-1-11111-2-2111111-2-211000000222222-1-12-1-1-12-1-1-1-1-122-1-1-2-2-1-1-1-122-1-11111-2-2111111-2-211000000222222-1-12-1-1-12-1-1-1-1-122-1-1-2-2-1-1-1-122-1-11111-2-2111111-2-211000000222222-1-12-1-1-12-1-1-1-1-122-1-1-2-2-1-1-1-122-1-11111-2-2111111-2-211000000
χ15222222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000222222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000222222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000222222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000
χ16222222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-1-1-1-1-1-122111111-2-2111111-2-2000000222222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-1-1-1-1-1-122111111-2-2111111-2-2000000222222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-1-1-1-1-1-122111111-2-2111111-2-2000000222222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-1-1-1-1-1-122111111-2-2111111-2-2000000
χ172222-2-22-1-1-12-1-1-122-1-1-1-1-1-12-2-2-211111122-1-1-1-1-1-1-2-21111110000002222-2-22-1-1-12-1-1-122-1-1-1-1-1-12-2-2-211111122-1-1-1-1-1-1-2-21111110000002222-2-22-1-1-12-1-1-122-1-1-1-1-1-12-2-2-211111122-1-1-1-1-1-1-2-21111110000002222-2-22-1-1-12-1-1-122-1-1-1-1-1-12-2-2-211111122-1-1-1-1-1-1-2-2111111000000
χ182222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-10000002222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-10000002222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-10000002222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-1000000
χ192222-2-2-12-1-1-12-1-1-1-122-1-1-1-12-211-2-21111-1-122-1-1-1-111-2-211110000002222-2-2-12-1-1-12-1-1-1-122-1-1-1-12-211-2-21111-1-122-1-1-1-111-2-211110000002222-2-2-12-1-1-12-1-1-1-122-1-1-1-12-211-2-21111-1-122-1-1-1-111-2-211110000002222-2-2-12-1-1-12-1-1-1-122-1-1-1-12-211-2-21111-1-122-1-1-1-111-2-21111000000
χ202222-2-2-12-1-1-12-1-1-1-122-1-1-1-1-2211-2-2111111-2-21111-1-122-1-1-1-10000002222-2-2-12-1-1-12-1-1-1-122-1-1-1-1-2211-2-2111111-2-21111-1-122-1-1-1-10000002222-2-2-12-1-1-12-1-1-1-122-1-1-1-1-2211-2-2111111-2-21111-1-122-1-1-1-10000002222-2-2-12-1-1-12-1-1-1-122-1-1-1-1-2211-2-2111111-2-21111-1-122-1-1-1-1000000
χ212222-2-2-1-12-1-1-12-1-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-11111-2-2110000002222-2-2-1-12-1-1-12-1-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-11111-2-2110000002222-2-2-1-12-1-1-12-1-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-11111-2-2110000002222-2-2-1-12-1-1-12-1-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-11111-2-211000000
χ222222-2-2-1-12-1-1-12-1-1-1-1-122-1-1-221111-2-2111111-2-211-1-1-1-122-1-10000002222-2-2-1-12-1-1-12-1-1-1-1-122-1-1-221111-2-2111111-2-211-1-1-1-122-1-10000002222-2-2-1-12-1-1-12-1-1-1-1-122-1-1-221111-2-2111111-2-211-1-1-1-122-1-10000002222-2-2-1-12-1-1-12-1-1-1-1-122-1-1-221111-2-2111111-2-211-1-1-1-122-1-1000000
χ232222-2-2-1-1-12-1-1-12-1-1-1-1-1-1222-2111111-2-2-1-1-1-1-1-122111111-2-20000002222-2-2-1-1-12-1-1-12-1-1-1-1-1-1222-2111111-2-2-1-1-1-1-1-122111111-2-20000002222-2-2-1-1-12-1-1-12-1-1-1-1-1-1222-2111111-2-2-1-1-1-1-1-122111111-2-20000002222-2-2-1-1-12-1-1-12-1-1-1-1-1-1222-2111111-2-2-1-1-1-1-1-122111111-2-2000000
χ242222-2-2-1-1-12-1-1-12-1-1-1-1-1-122-22111111-2-2111111-2-2-1-1-1-1-1-1220000002222-2-2-1-1-12-1-1-12-1-1-1-1-1-122-22111111-2-2111111-2-2-1-1-1-1-1-1220000002222-2-2-1-1-12-1-1-12-1-1-1-1-1-122-22111111-2-2111111-2-2-1-1-1-1-1-1220000002222-2-2-1-1-12-1-1-12-1-1-1-1-1-122-22111111-2-2111111-2-2-1-1-1-1-1-122000000
χ2522-2-2002222-2-2-2-22-22-22-22-2000000000000000000000000002-2000022-2-2002222-2-2-2-22-22-22-22-2000000000000000000000000002-2000022-2-2002222-2-2-2-22-22-22-22-2000000000000000000000000002-2000022-2-2002222-2-2-2-22-22-22-22-2000000000000000000000000002-20000
χ2622-2-2002222-2-2-2-22-22-22-22-200000000000000000000000000-22000022-2-2002222-2-2-2-22-22-22-22-200000000000000000000000000-22000022-2-2002222-2-2-2-22-22-22-22-200000000000000000000000000-22000022-2-2002222-2-2-2-22-22-22-22-200000000000000000000000000-220000
χ272-22-2002222-2-2-2-2-22-22-22-2200000000000000000000000000002-2002-22-2002222-2-2-2-2-22-22-22-2200000000000000000000000000002-2002-22-2002222-2-2-2-2-22-22-22-2200000000000000000000000000002-2002-22-2002222-2-2-2-2-22-22-22-2200000000000000000000000000002-200
χ282-22-2002222-2-2-2-2-22-22-22-220000000000000000000000000000-22002-22-2002222-2-2-2-2-22-22-22-220000000000000000000000000000-22002-22-2002222-2-2-2-2-22-22-22-220000000000000000000000000000-22002-22-2002222-2-2-2-2-22-22-22-220000000000000000000000000000-2200
χ292-2-222-222222222-2-2-2-2-2-2-2-2002-22-22-22-200000000000000000000002-2-222-222222222-2-2-2-2-2-2-2-2002-22-22-22-200000000000000000000002-2-222-222222222-2-2-2-2-2-2-2-2002-22-22-22-200000000000000000000002-2-222-222222222-2-2-2-2-2-2-2-2002-22-22-22-20000000000000000000000
χ302-2-222-22-1-1-12-1-1-1-2-2111111002-2-11-11-11003−33−33−3003−33−33−30000002-2-222-22-1-1-12-1-1-1-2-2111111002-2-11-11-11003−33−33−3003−33−33−30000002-2-222-22-1-1-12-1-1-1-2-2111111002-2-11-11-11003−33−33−3003−33−33−30000002-2-222-22-1-1-12-1-1-1-2-2111111002-2-11-11-11003−33−33−3003−33−33−3000000
χ312-2-222-22-1-1-12-1-1-1-2-2111111002-2-11-11-1100−33−33−3300−33−33−330000002-2-222-22-1-1-12-1-1-1-2-2111111002-2-11-11-1100−33−33−3300−33−33−330000002-2-222-22-1-1-12-1-1-1-2-2111111002-2-11-11-1100−33−33−3300−33−33−330000002-2-222-22-1-1-12-1-1-1-2-2111111002-2-11-11-1100−33−33−3300−33−33−33000000
χ322-2-222-2-12-1-1-12-1-111-2-2111100-112-2-11-113−3003−3−333−3003−3−330000002-2-222-2-12-1-1-12-1-111-2-2111100-112-2-11-113−3003−3−333−3003−3−330000002-2-222-2-12-1-1-12-1-111-2-2111100-112-2-11-113−3003−3−333−3003−3−330000002-2-222-2-12-1-1-12-1-111-2-2111100-112-2-11-113−3003−3−333−3003−3−33000000
χ332-2-222-2-12-1-1-12-1-111-2-2111100-112-2-11-11−3300−333−3−3300−333−30000002-2-222-2-12-1-1-12-1-111-2-2111100-112-2-11-11−3300−333−3−3300−333−30000002-2-222-2-12-1-1-12-1-111-2-2111100-112-2-11-11−3300−333−3−3300−333−30000002-2-222-2-12-1-1-12-1-111-2-2111100-112-2-11-11−3300−333−3−3300−333−3000000
χ342-2-222-2-1-12-1-1-12-11111-2-21100-11-112-2-113−3−33003−33−3−33003−30000002-2-222-2-1-12-1-1-12-11111-2-21100-11-112-2-113−3−33003−33−3−33003−30000002-2-222-2-1-12-1-1-12-11111-2-21100-11-112-2-113−3−33003−33−3−33003−30000002-2-222-2-1-12-1-1-12-11111-2-21100-11-112-2-113−3−33003−33−3−33003−3000000
χ352-2-222-2-1-12-1-1-12-11111-2-21100-11-112-2-11−333−300−33−333−300−330000002-2-222-2-1-12-1-1-12-11111-2-21100-11-112-2-11−333−300−33−333−300−330000002-2-222-2-1-12-1-1-12-11111-2-21100-11-112-2-11−333−300−33−333−300−330000002-2-222-2-1-12-1-1-12-11111-2-21100-11-112-2-11−333−300−33−333−300−33000000
χ362-2-222-2-1-1-12-1-1-12111111-2-200-11-11-112-23−33−3−33003−33−3−33000000002-2-222-2-1-1-12-1-1-12111111-2-200-11-11-112-23−33−3−33003−33−3−33000000002-2-222-2-1-1-12-1-1-12111111-2-200-11-11-112-23−33−3−33003−33−3−33000000002-2-222-2-1-1-12-1-1-12111111-2-200-11-11-112-23−33−3−33003−33−3−3300000000
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χ2138-88-8008-4-4-4-8444-884-44-44-400000000000000000000000000000000−2−252+25−2−252+2500−2−251+51+51+52+25−1−5−1−5−1−52+25−2−25−1−51+5−1−51+5−1−51+500000000000000000000000000000000−2+252−25−2+252−2500−2+251−51−51−52−25−1+5−1+5−1+52−25−2+25−1+51−5−1+51−5−1+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2148-88-800-48-4-44-8444-4-884-44-400000000000000000000000000000000−2−252+25−2−252+25001+5−2−251+51+5−1−52+25−1−5−1−5−1−51+52+25−2−25−1−51+5−1−51+500000000000000000000000000000000−2+252−25−2+252−25001−5−2+251−51−5−1+52−25−1+5−1+5−1+51−52−25−2+25−1+51−5−1+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2158-88-800-4-48-444-844-44-4-884-400000000000000000000000000000000−2−252+25−2−252+25001+51+5−2−251+5−1−5−1−52+25−1−5−1−51+5−1−51+52+25−2−25−1−51+500000000000000000000000000000000−2+252−25−2+252−25001−51−5−2+251−5−1+5−1+52−25−1+5−1+51−5−1+51−52−25−2+25−1+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2168-88-800-4-4-48444-84-44-44-4-8800000000000000000000000000000000−2−252+25−2−252+25001+51+51+5−2−25−1−5−1−5−1−52+25−1−51+5−1−51+5−1−51+52+25−2−2500000000000000000000000000000000−2+252−25−2+252−25001−51−51−5−2+25−1+5−1+5−1+52−25−1+51−5−1+51−5−1+51−52−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1).