Finite Group Databasebeta

← Group #11860009

Character table — Group #11860009

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11112222222222222244444444446666666666661212121212123636111122222222222222444444444466666666666612121212121236361111222222222222224444444444666666666666121212121212363611112222222222222244444444446666666666661212121212123636
order12442334666612121212121236666121212121288882424242424242424246612122444444121241212121212121212121212121212121212121212888824242424242424244412121212442244266466661212121212126666612121212128888242424242424242424661212244444412124121212121212121212121212121212121212121288882424242424242424441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-11-111-1-11-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-11-111-1-11-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-11-111-1-11-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-11-111-1-11-1
χ611-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-11
χ711-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-11
χ811-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11111-11-1-1111-1
χ9222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
χ10222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100
χ1122222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ1222222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-1-2-2-2-2111111110000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-1-2-2-2-2111111110000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-1-2-2-2-2111111110000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-1-2-2-2-21111111100000000
χ132222-222-2-2-2222222-2-22-2-2-22-2-2-222000000000000000000002222-222-2-2-2222222-2-22-2-2-22-2-2-222000000000000000000002222-222-2-2-2222222-2-22-2-2-22-2-2-222000000000000000000002222-222-2-2-2222222-2-22-2-2-22-2-2-22200000000000000000000
χ142222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000−i3i3−i3i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000−i3i3−i3i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000−i3i3−i3i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000−i3i3−i3i300
χ152222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000i3−i3i3−i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000i3−i3i3−i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000i3−i3i3−i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000i3−i3i3−i300
χ162222-2-12-211-12-1-12211-1-211-1-211-1-1000033−3−333−3−3000000002222-2-12-211-12-1-12211-1-211-1-211-1-1000033−3−333−3−3000000002222-2-12-211-12-1-12211-1-211-1-211-1-1000033−3−333−3−3000000002222-2-12-211-12-1-12211-1-211-1-211-1-1000033−3−333−3−300000000
χ172222-2-12-211-12-1-12211-1-211-1-211-1-10000−3−333−3−333000000002222-2-12-211-12-1-12211-1-211-1-211-1-10000−3−333−3−333000000002222-2-12-211-12-1-12211-1-211-1-211-1-10000−3−333−3−333000000002222-2-12-211-12-1-12211-1-211-1-211-1-10000−3−333−3−33300000000
χ1822-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-20000000000000000000022-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-20000000000000000000022-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-20000000000000000000022-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-200000000000000000000
χ1922-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000−i3i3i3−i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000−i3i3i3−i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000−i3i3i3−i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000−i3i3i3−i300
χ2022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000i3−i3−i3i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000i3−i3−i3i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000i3−i3−i3i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000i3−i3−i3i300
χ2122-2-22-12-2-1-1-1211-2-211-12-1-1-1-21111000033−3−3−3−3330000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-21111000033−3−3−3−3330000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-21111000033−3−3−3−3330000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-21111000033−3−3−3−33300000000
χ2222-2-22-12-2-1-1-1211-2-211-12-1-1-1-211110000−3−33333−3−30000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-211110000−3−33333−3−30000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-211110000−3−33333−3−30000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-211110000−3−33333−3−300000000
χ2322-2-2-22-12-2-22-1-2-21122-1111-1-1-1-1110000000000002-2-1-1110022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-1110000000000002-2-1-1110022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-1110000000000002-2-1-1110022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-1110000000000002-2-1-11100
χ2422-2-2-22-12-2-22-1-2-21122-1111-1-1-1-111000000000000-2211-1-10022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-111000000000000-2211-1-10022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-111000000000000-2211-1-10022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-111000000000000-2211-1-100
χ2522-2-2-2-12211-1211-2-2-1-1-1-211-12-1-11122-2-2-1-1-1-111110000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-11122-2-2-1-1-1-111110000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-11122-2-2-1-1-1-111110000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-11122-2-2-1-1-1-1111100000000
χ2622-2-2-2-12211-1211-2-2-1-1-1-211-12-1-111-2-2221111-1-1-1-10000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-111-2-2221111-1-1-1-10000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-111-2-2221111-1-1-1-10000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-111-2-2221111-1-1-1-100000000
χ272-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i2−2−i2i22−22−2−i2i2−i2i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i2−2−i2i22−22−2−i2i2−i2i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i2−2−i2i22−22−2−i2i2−i2i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i2−2−i2i22−22−2−i2i2−i2i200000000
χ282-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i−22i2−i2−22−22i2−i2i2−i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i−22i2−i2−22−22i2−i2i2−i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i−22i2−i2−22−22i2−i2i2−i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i−22i2−i2−22−22i2−i2i2−i200000000
χ292-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ302-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ312-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ322-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ332-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i2−2i2−i22−22−2i2−i2i2−i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i2−2i2−i22−22−2i2−i2i2−i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i2−2i2−i22−22−2i2−i2i2−i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i2−2i2−i22−22−2i2−i2i2−i200000000
χ342-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i−22−i2i2−22−22−i2i2−i2i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i−22−i2i2−22−22−i2i2−i2i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i−22−i2i2−22−22−i2i2−i2i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i−22−i2i2−22−22−i2i2−i2i200000000
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χ1924-4−4i4i0-2-202i3−2i3222i−2i2i−2i23−2310−i3i3-10−33−ii00000000000000000000−4i4i-4402i2i023−23−2i−2i2-22-2−2i32i3−i0−33i0i3−i3-1100000000000000000000-444i−4i0220−2i32i3-2-2−2i2i−2i2i−2323-10i3−i3103−3i−i000000000000000000004i−4i4-40−2i−2i0−23232i2i-22-222i3−2i3i03−3−i0−i3i31-100000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.