Finite Group Databasebeta

← Group #11874917

Character table — Group #11874917

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222244444466666666888888242422224444444444888888121212121212121216161616161648483333666666666612121212121218181818181818182424242424247272
order122234466688881212242424244444888844121212124436663121266624242424121224242424121212122424242412121212121212122222644666888812122424242444448888441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1
χ61111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-11
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-1
χ922222-2-22220000-2-2000022-2-200000000000022222-2-22220000-2-2000022-2-200000000000022222-2-22220000-2-2000022-2-2000000000000
χ1022222-2-22220000-2-20000-2-22200000000000022222-2-22220000-2-20000-2-22200000000000022222-2-22220000-2-20000-2-222000000000000
χ112222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-1002222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-1002222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-100
χ122222-122-1-1-12222-1-1-1-1-1-100000000-2-21111002222-122-1-1-12222-1-1-1-1-1-100000000-2-21111002222-122-1-1-12222-1-1-1-1-1-100000000-2-2111100
χ132222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-111002222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-111002222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-11100
χ142222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-1002222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-1002222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-100
χ1522-2-222-22-2-222-2-2-2222-2-2000000000000000022-2-222-22-2-222-2-2-2222-2-2000000000000000022-2-222-22-2-222-2-2-2222-2-20000000000000000
χ1622-2-222-22-2-2-2-222-22-2-222000000000000000022-2-222-22-2-2-2-222-22-2-222000000000000000022-2-222-22-2-2-2-222-22-2-2220000000000000000
χ1722-2-22-222-2-200002-20000000022-2-20000000022-2-22-222-2-200002-20000000022-2-20000000022-2-22-222-2-200002-20000000022-2-200000000
χ1822-2-22-222-2-200002-200000000-2-2220000000022-2-22-222-2-200002-200000000-2-2220000000022-2-22-222-2-200002-200000000-2-22200000000
χ1922-2-2-12-2-11122-2-21-1-1-11100000000003−33−30022-2-2-12-2-11122-2-21-1-1-11100000000003−33−30022-2-2-12-2-11122-2-21-1-1-11100000000003−33−300
χ2022-2-2-12-2-11122-2-21-1-1-1110000000000−33−330022-2-2-12-2-11122-2-21-1-1-1110000000000−33−330022-2-2-12-2-11122-2-21-1-1-1110000000000−33−3300
χ2122-2-2-12-2-111-2-2221-111-1-100000000003−3−330022-2-2-12-2-111-2-2221-111-1-100000000003−3−330022-2-2-12-2-111-2-2221-111-1-100000000003−3−3300
χ2222-2-2-12-2-111-2-2221-111-1-10000000000−333−30022-2-2-12-2-111-2-2221-111-1-10000000000−333−30022-2-2-12-2-111-2-2221-111-1-10000000000−333−300
χ232-22-2200-22-2−i2i2−i2i200−i2i2−i2i2002i−2i2−22−2000000002-22-2200-22-2−i2i2−i2i200−i2i2−i2i2002i−2i2−22−2000000002-22-2200-22-2−i2i2−i2i200−i2i2−i2i2002i−2i2−22−200000000
χ242-22-2200-22-2−i2i2−i2i200−i2i2−i2i200−2i2i−22−22000000002-22-2200-22-2−i2i2−i2i200−i2i2−i2i200−2i2i−22−22000000002-22-2200-22-2−i2i2−i2i200−i2i2−i2i200−2i2i−22−2200000000
χ252-22-2200-22-2i2−i2i2−i200i2−i2i2−i2002i−2i−22−22000000002-22-2200-22-2i2−i2i2−i200i2−i2i2−i2002i−2i−22−22000000002-22-2200-22-2i2−i2i2−i200i2−i2i2−i2002i−2i−22−2200000000
χ262-22-2200-22-2i2−i2i2−i200i2−i2i2−i200−2i2i2−22−2000000002-22-2200-22-2i2−i2i2−i200i2−i2i2−i200−2i2i2−22−2000000002-22-2200-22-2i2−i2i2−i200i2−i2i2−i200−2i2i2−22−200000000
χ272-2-22200-2-22−i2i2i2−i200−i2i2i2−i22i−2i002−2−22000000002-2-22200-2-22−i2i2i2−i200−i2i2i2−i22i−2i002−2−22000000002-2-22200-2-22−i2i2i2−i200−i2i2i2−i22i−2i002−2−2200000000
χ282-2-22200-2-22−i2i2i2−i200−i2i2i2−i2−2i2i00−222−2000000002-2-22200-2-22−i2i2i2−i200−i2i2i2−i2−2i2i00−222−2000000002-2-22200-2-22−i2i2i2−i200−i2i2i2−i2−2i2i00−222−200000000
χ292-2-22200-2-22i2−i2−i2i200i2−i2−i2i22i−2i00−222−2000000002-2-22200-2-22i2−i2−i2i200i2−i2−i2i22i−2i00−222−2000000002-2-22200-2-22i2−i2−i2i200i2−i2−i2i22i−2i00−222−200000000
χ302-2-22200-2-22i2−i2−i2i200i2−i2−i2i2−2i2i002−2−22000000002-2-22200-2-22i2−i2−i2i200i2−i2−i2i2−2i2i002−2−22000000002-2-22200-2-22i2−i2−i2i200i2−i2−i2i2−2i2i002−2−2200000000
χ314444-2-4-4-2-2-2000022000000000000000000004444-2-4-4-2-2-2000022000000000000000000004444-2-4-4-2-2-200002200000000000000000000
χ3244-4-4-2-44-2220000-220000000000000000000044-4-4-2-44-2220000-220000000000000000000044-4-4-2-44-2220000-2200000000000000000000
χ334-44-4-2002-22−2i22i2−2i22i200i2−i2i2−i200000000000000004-44-4-2002-22−2i22i2−2i22i200i2−i2i2−i200000000000000004-44-4-2002-22−2i22i2−2i22i200i2−i2i2−i20000000000000000
χ344-44-4-2002-222i2−2i22i2−2i200−i2i2−i2i200000000000000004-44-4-2002-222i2−2i22i2−2i200−i2i2−i2i200000000000000004-44-4-2002-222i2−2i22i2−2i200−i2i2−i2i20000000000000000
χ354-4-44-20022-2−2i22i22i2−2i200i2−i2−i2i200000000000000004-4-44-20022-2−2i22i22i2−2i200i2−i2−i2i200000000000000004-4-44-20022-2−2i22i22i2−2i200i2−i2−i2i20000000000000000
χ364-4-44-20022-22i2−2i2−2i22i200−i2i2i2−i200000000000000004-4-44-20022-22i2−2i2−2i22i200−i2i2i2−i200000000000000004-4-44-20022-22i2−2i2−2i22i200−i2i2i2−i20000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3911111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ411111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-11-1-111-11
χ421111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-111-1-11-1
χ431111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1111-1
χ441111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-111-1-1-11
χ4522222-2-22220000-2-2000022-2-200000000000022222-2-22220000-2-2000022-2-2000000000000-2-2-2-2-222-2-2-20000220000-2-222000000000000
χ4622222-2-22220000-2-20000-2-22200000000000022222-2-22220000-2-20000-2-222000000000000-2-2-2-2-222-2-2-2000022000022-2-2000000000000
χ472222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-1002222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-100-2-2-2-21-2-2111-2-2-2-211111100000000-2-2111100
χ482222-122-1-1-12222-1-1-1-1-1-100000000-2-21111002222-122-1-1-12222-1-1-1-1-1-100000000-2-2111100-2-2-2-21-2-2111-2-2-2-21111110000000022-1-1-1-100
χ492222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-111002222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-11100-2-2-2-21-2-2111222211-1-1-1-100000000-2211-1-100
χ502222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-1002222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-100-2-2-2-21-2-2111222211-1-1-1-1000000002-2-1-11100
χ5122-2-222-22-2-222-2-2-2222-2-2000000000000000022-2-222-22-2-222-2-2-2222-2-20000000000000000-2-222-2-22-222-2-2222-2-2-2220000000000000000
χ5222-2-222-22-2-2-2-222-22-2-222000000000000000022-2-222-22-2-2-2-222-22-2-2220000000000000000-2-222-2-22-22222-2-22-222-2-20000000000000000
χ5322-2-22-222-2-200002-20000000022-2-20000000022-2-22-222-2-200002-20000000022-2-200000000-2-222-22-2-2220000-2200000000-2-22200000000
χ5422-2-22-222-2-200002-200000000-2-2220000000022-2-22-222-2-200002-200000000-2-22200000000-2-222-22-2-2220000-220000000022-2-200000000
χ5522-2-2-12-2-11122-2-21-1-1-11100000000003−33−30022-2-2-12-2-11122-2-21-1-1-11100000000003−33−300-2-2221-221-1-1-2-222-1111-1-10000000000−33−3300
χ5622-2-2-12-2-11122-2-21-1-1-1110000000000−33−330022-2-2-12-2-11122-2-21-1-1-1110000000000−33−3300-2-2221-221-1-1-2-222-1111-1-100000000003−33−300
χ5722-2-2-12-2-111-2-2221-111-1-100000000003−3−330022-2-2-12-2-111-2-2221-111-1-100000000003−3−3300-2-2221-221-1-122-2-2-11-1-1110000000000−333−300
χ5822-2-2-12-2-111-2-2221-111-1-10000000000−333−30022-2-2-12-2-111-2-2221-111-1-10000000000−333−300-2-2221-221-1-122-2-2-11-1-11100000000003−3−3300
χ592-22-2200-22-2−i2i2−i2i200−i2i2−i2i2002i−2i2−22−2000000002-22-2200-22-2−i2i2−i2i200−i2i2−i2i2002i−2i2−22−200000000-22-22-2002-22i2−i2i2−i200i2−i2i2−i200−2i2i−22−2200000000
χ602-22-2200-22-2−i2i2−i2i200−i2i2−i2i200−2i2i−22−22000000002-22-2200-22-2−i2i2−i2i200−i2i2−i2i200−2i2i−22−2200000000-22-22-2002-22i2−i2i2−i200i2−i2i2−i2002i−2i2−22−200000000
χ612-22-2200-22-2i2−i2i2−i200i2−i2i2−i2002i−2i−22−22000000002-22-2200-22-2i2−i2i2−i200i2−i2i2−i2002i−2i−22−2200000000-22-22-2002-22−i2i2−i2i200−i2i2−i2i200−2i2i2−22−200000000
χ622-22-2200-22-2i2−i2i2−i200i2−i2i2−i200−2i2i2−22−2000000002-22-2200-22-2i2−i2i2−i200i2−i2i2−i200−2i2i2−22−200000000-22-22-2002-22−i2i2−i2i200−i2i2−i2i2002i−2i−22−2200000000
χ632-2-22200-2-22−i2i2i2−i200−i2i2i2−i22i−2i002−2−22000000002-2-22200-2-22−i2i2i2−i200−i2i2i2−i22i−2i002−2−2200000000-222-2-20022-2i2−i2−i2i200i2−i2−i2i2−2i2i00−222−200000000
χ642-2-22200-2-22−i2i2i2−i200−i2i2i2−i2−2i2i00−222−2000000002-2-22200-2-22−i2i2i2−i200−i2i2i2−i2−2i2i00−222−200000000-222-2-20022-2i2−i2−i2i200i2−i2−i2i22i−2i002−2−2200000000
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χ742222222222222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000
χ7522222222222222222222-2-2-2-2-2-2-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111000000000000000000000000000000000000
χ7622222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1000000000000000000000000000000000000
χ772222222222-2-2-2-222-2-2-2-22222-2-2-2-22-222-2-22-2-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-11-1-111-11000000000000000000000000000000000000
χ782222222222-2-2-2-222-2-2-2-22222-2-2-2-2-22-2-222-22-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-111-1-11-1000000000000000000000000000000000000
χ792222222222-2-2-2-222-2-2-2-2-2-2-2-222222-222-2-2-22-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1111-1000000000000000000000000000000000000
χ802222222222-2-2-2-222-2-2-2-2-2-2-2-22222-22-2-2222-2-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-111-1-1-11000000000000000000000000000000000000
χ8144444-4-44440000-4-4000044-4-4000000000000-2-2-2-2-222-2-2-20000220000-2-222000000000000000000000000000000000000000000000000
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χ834444-244-2-2-24444-2-2-2-2-2-20000000044-2-2-2-200-2-2-2-21-2-2111-2-2-2-211111100000000-2-2111100000000000000000000000000000000000000
χ844444-244-2-2-24444-2-2-2-2-2-200000000-4-4222200-2-2-2-21-2-2111-2-2-2-21111110000000022-1-1-1-100000000000000000000000000000000000000
χ854444-244-2-2-2-4-4-4-4-2-22222000000004-4-2-22200-2-2-2-21-2-2111222211-1-1-1-100000000-2211-1-100000000000000000000000000000000000000
χ864444-244-2-2-2-4-4-4-4-2-2222200000000-4422-2-200-2-2-2-21-2-2111222211-1-1-1-1000000002-2-1-11100000000000000000000000000000000000000
χ8744-4-444-44-4-444-4-4-4444-4-40000000000000000-2-222-2-22-222-2-2222-2-2-2220000000000000000000000000000000000000000000000000000
χ8844-4-444-44-4-4-4-444-44-4-4440000000000000000-2-222-2-22-22222-2-22-222-2-20000000000000000000000000000000000000000000000000000
χ8944-4-44-444-4-400004-40000000044-4-400000000-2-222-22-2-2220000-2200000000-2-22200000000000000000000000000000000000000000000
χ9044-4-44-444-4-400004-400000000-4-44400000000-2-222-22-2-2220000-220000000022-2-200000000000000000000000000000000000000000000
χ9144-4-4-24-4-22244-4-42-2-2-222000000000023−2323−2300-2-2221-221-1-1-2-222-1111-1-10000000000−33−3300000000000000000000000000000000000000
χ9244-4-4-24-4-22244-4-42-2-2-2220000000000−2323−232300-2-2221-221-1-1-2-222-1111-1-100000000003−33−300000000000000000000000000000000000000
χ9344-4-4-24-4-222-4-4442-222-2-2000000000023−23−232300-2-2221-221-1-122-2-2-11-1-1110000000000−333−300000000000000000000000000000000000000
χ9444-4-4-24-4-222-4-4442-222-2-20000000000−232323−2300-2-2221-221-1-122-2-2-11-1-11100000000003−3−3300000000000000000000000000000000000000
χ954-44-4400-44-4−2i22i2−2i22i200−2i22i2−2i22i2004i−4i22−2222−2200000000-22-22-2002-22i2−i2i2−i200i2−i2i2−i200−2i2i−22−2200000000000000000000000000000000000000000000
χ964-44-4400-44-4−2i22i2−2i22i200−2i22i2−2i22i200−4i4i−2222−222200000000-22-22-2002-22i2−i2i2−i200i2−i2i2−i2002i−2i2−22−200000000000000000000000000000000000000000000
χ974-44-4400-44-42i2−2i22i2−2i2002i2−2i22i2−2i2004i−4i−2222−222200000000-22-22-2002-22−i2i2−i2i200−i2i2−i2i200−2i2i2−22−200000000000000000000000000000000000000000000
χ984-44-4400-44-42i2−2i22i2−2i2002i2−2i22i2−2i200−4i4i22−2222−2200000000-22-22-2002-22−i2i2−i2i200−i2i2−i2i2002i−2i−22−2200000000000000000000000000000000000000000000
χ994-4-44400-4-44−2i22i22i2−2i200−2i22i22i2−2i24i−4i0022−22−222200000000-222-2-20022-2i2−i2−i2i200i2−i2−i2i2−2i2i00−222−200000000000000000000000000000000000000000000
χ1004-4-44400-4-44−2i22i22i2−2i200−2i22i22i2−2i2−4i4i00−222222−2200000000-222-2-20022-2i2−i2−i2i200i2−i2−i2i22i−2i002−2−2200000000000000000000000000000000000000000000
χ1014-4-44400-4-442i2−2i2−2i22i2002i2−2i2−2i22i24i−4i00−222222−2200000000-222-2-20022-2−i2i2i2−i200−i2i2i2−i2−2i2i002−2−2200000000000000000000000000000000000000000000
χ1024-4-44400-4-442i2−2i2−2i22i2002i2−2i2−2i22i2−4i4i0022−22−222200000000-222-2-20022-2−i2i2i2−i200−i2i2i2−i22i−2i00−222−200000000000000000000000000000000000000000000
χ1038888-4-8-8-4-4-400004400000000000000000000-4-4-4-42442220000-2-200000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-88-4440000-4400000000000000000000-4-44424-42-2-200002-200000000000000000000000000000000000000000000000000000000
χ1058-88-8-4004-44−4i24i2−4i24i2002i2−2i22i2−2i20000000000000000-44-44200-22-22i2−2i22i2−2i200−i2i2−i2i20000000000000000000000000000000000000000000000000000
χ1068-88-8-4004-444i2−4i24i2−4i200−2i22i2−2i22i20000000000000000-44-44200-22-2−2i22i2−2i22i200i2−i2i2−i20000000000000000000000000000000000000000000000000000
χ1078-8-88-40044-4−4i24i24i2−4i2002i2−2i2−2i22i20000000000000000-444-4200-2-222i2−2i2−2i22i200−i2i2i2−i20000000000000000000000000000000000000000000000000000
χ1088-8-88-40044-44i2−4i2−4i24i200−2i22i22i2−2i20000000000000000-444-4200-2-22−2i22i22i2−2i200i2−i2−i2i20000000000000000000000000000000000000000000000000000

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