Finite Group Databasebeta

← Group #11857755

Character table — Group #11857755

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222224444444466661212222244444488888888121212122424333366666612121212121212121818181836361111222222444444446666121222224444448888888812121212242433336666661212121212121212181818183636
order12223446664412121212121288884436663121266612121212121212122424242412122222644666441212121212128888442222644666441212121212128888446666612126661212121212121212242424241212222264466644121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ51-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i
χ61-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii
χ71-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii
χ81-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i
χ922222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-20000000000
χ102222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ112222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000
χ122222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000
χ132222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000
χ1422-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200
χ1522-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200
χ162-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-220000000000
χ172-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-111000000
χ182-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-1000000
χ192-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i3000000
χ202-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i3000000
χ212-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i200
χ222-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i200
χ2344-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-22200000000000000
χ244-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-2200000000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ281111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ291-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i-11-11-1-1111-1-11-11-1-111−i−iii−ii1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i-11-11-1-1111-1-11-11-1-111−i−iii−ii
χ301-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii-11-11-1-1111-1-11-11-1-111ii−i−ii−i1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii-11-11-1-1111-1-11-11-1-111ii−i−ii−i
χ311-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii-11-11-1-1111-11-1-1111-1-1−i−iiii−i1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii-11-11-1-1111-11-1-1111-1-1−i−iiii−i
χ321-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i-11-11-1-1111-11-1-1111-1-1ii−i−i−ii1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i-11-11-1-1111-11-1-1111-1-1ii−i−i−ii
χ3322222-2-222200-2-2000000000022222-2-222200-2-20000000000-2-2-2-2-222-2-2-20022000000000022222-2-222200-2-2000000000022222-2-222200-2-20000000000-2-2-2-2-222-2-2-200220000000000
χ342222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000-2-2-2-21-2-2111-2-21111110000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000-2-2-2-21-2-2111-2-2111111000000
χ352222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000-2-2-2-21-2-21112211-1-1-1-10000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000-2-2-2-21-2-21112211-1-1-1-1000000
χ362222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000-2-2-2-212211100-1-1i3−i3i3−i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000
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χ3822-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200-2-222-200-22200000000−22−220022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200-2-222-200-22200000000−22−2200
χ3922-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200-2-222-200-222000000002−22−20022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200-2-222-200-222000000002−22−200
χ402-22-22-22-2-2200-2200000000002-22-22-22-2-2200-220000000000-22-22-22-222-2002-200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-220000000000-22-22-22-222-2002-20000000000
χ412-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-111000000-22-221-22-1-11-221-111-1-10000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-111000000-22-221-22-1-11-221-111-1-1000000
χ422-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-1000000-22-221-22-1-112-21-1-1-1110000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-1000000-22-221-22-1-112-21-1-1-111000000
χ432-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i3000000-22-2212-2-1-1100-11i3−i3−i3i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i3000000-22-2212-2-1-1100-11i3−i3−i3i3000000
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χ452-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i200-222-2-2002-2200000000i2−i2−i2i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i200-222-2-2002-2200000000i2−i2−i2i200
χ462-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i200-222-2-2002-2200000000−i2i2i2−i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i200-222-2-2002-2200000000−i2i2i2−i200
χ4744-4-4-200-2220000000000000044-4-4-200-22200000000000000-4-4442002-2-20000000000000044-4-4-200-2220000000000000044-4-4-200-22200000000000000-4-4442002-2-200000000000000
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χ552-22-222-2-2-22-222-2-2-2222i2i−2i−2i−2i2i-11-11-1-1111-11-1-1111-1-1−i−iiii−i0000000000000000000000002-22-222-2-2-22-222-2-2-2222i2i−2i−2i−2i2i-11-11-1-1111-11-1-1111-1-1−i−iiii−i000000000000000000000000
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χ5744444-4-444400-4-40000000000-2-2-2-2-222-2-2-20022000000000000000000000000000000000044444-4-444400-4-40000000000-2-2-2-2-222-2-2-200220000000000000000000000000000000000
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χ594444-244-2-2-2-4-4-2-22222000000-2-2-2-21-2-21112211-1-1-1-10000000000000000000000000000004444-244-2-2-2-4-4-2-22222000000-2-2-2-21-2-21112211-1-1-1-1000000000000000000000000000000
χ604444-2-4-4-2-2-20022−2i32i3−2i32i3000000-2-2-2-212211100-1-1i3−i3i3−i30000000000000000000000000000004444-2-4-4-2-2-20022−2i32i3−2i32i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000000000000000000000000000
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χ6244-4-44004-4-40000000022−2222−2200-2-222-200-22200000000−22−220000000000000000000000000044-4-44004-4-40000000022−2222−2200-2-222-200-22200000000−22−2200000000000000000000000000
χ6344-4-44004-4-400000000−2222−222200-2-222-200-222000000002−22−20000000000000000000000000044-4-44004-4-400000000−2222−222200-2-222-200-222000000002−22−200000000000000000000000000
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χ1314444-244-2-2-2-4-4-2-22222000000-2-2-2-21-2-21112211-1-1-1-1000000000000000000000000000000-4-4-4-42-4-42224422-2-2-2-20000002222-122-1-1-1-2-2-1-11111000000000000000000000000000000
χ1324444-2-4-4-2-2-20022−2i32i3−2i32i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000000000000000000000000000-4-4-4-424422200-2-22i3−2i32i3−2i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000000000000000000000000000
χ1334444-2-4-4-2-2-200222i3−2i32i3−2i3000000-2-2-2-212211100-1-1−i3i3−i3i3000000000000000000000000000000-4-4-4-424422200-2-2−2i32i3−2i32i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000000000000000000000000000
χ13444-4-44004-4-40000000022−2222−2200-2-222-200-22200000000−22−2200000000000000000000000000-4-444-400-44400000000−2222−22220022-2-22002-2-2000000002−22−200000000000000000000000000
χ13544-4-44004-4-400000000−2222−222200-2-222-200-222000000002−22−200000000000000000000000000-4-444-400-4440000000022−2222−220022-2-22002-2-200000000−22−2200000000000000000000000000
χ1364-44-44-44-4-4400-440000000000-22-22-22-222-2002-20000000000000000000000000000000000-44-44-44-444-4004-400000000002-22-22-22-2-2200-220000000000000000000000000000000000
χ1374-44-4-24-422-24-4-22-2-222000000-22-221-22-1-11-221-111-1-1000000000000000000000000000000-44-442-44-2-22-442-222-2-20000002-22-2-12-211-12-2-11-1-111000000000000000000000000000000
χ1384-44-4-24-422-2-44-2222-2-2000000-22-221-22-1-112-21-1-1-111000000000000000000000000000000-44-442-44-2-224-42-2-2-2220000002-22-2-12-211-1-22-1111-1-1000000000000000000000000000000
χ1394-44-4-2-4422-2002-2−2i32i32i3−2i3000000-22-2212-2-1-1100-11i3−i3−i3i3000000000000000000000000000000-44-4424-4-2-2200-222i3−2i3−2i32i30000002-22-2-1-2211-1001-1−i3i3i3−i3000000000000000000000000000000
χ1404-44-4-2-4422-2002-22i3−2i3−2i32i3000000-22-2212-2-1-1100-11−i3i3i3−i3000000000000000000000000000000-44-4424-4-2-2200-22−2i32i32i3−2i30000002-22-2-1-2211-1001-1i3−i3−i3i3000000000000000000000000000000
χ1414-4-44400-44-400000000−2i22i22i2−2i200-222-2-2002-2200000000i2−i2−i2i200000000000000000000000000-444-4-4004-44000000002i2−2i2−2i22i2002-2-22200-22-200000000−i2i2i2−i200000000000000000000000000
χ1424-4-44400-44-4000000002i2−2i2−2i22i200-222-2-2002-2200000000−i2i2i2−i200000000000000000000000000-444-4-4004-4400000000−2i22i22i2−2i2002-2-22200-22-200000000i2−i2−i2i200000000000000000000000000
χ14388-8-8-400-44400000000000000-4-4442002-2-200000000000000000000000000000000000000-8-8884004-4-40000000000000044-4-4-200-22200000000000000000000000000000000000000
χ1448-8-88-4004-4400000000000000-444-4200-22-200000000000000000000000000000000000000-888-8400-44-4000000000000004-4-44-2002-2200000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).