Finite Group Databasebeta

← Group #11874191

Character table — Group #11874191

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222444444446666666688888888888121212121212121218181818242424242424721111222222222244444444666666668888888888812121212121212121818181824242424242472
order1222334466666636661212121288888888266666666121224242424242424244444226666222226644666666666612121212888888882666666661212242424242424242444442266662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-11111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1
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χ10222222-2-22222222222-2-2-2-200000000000000000-2-200000000-2-2220000000222222-2-22222222222-2-2-2-200000000000000000-2-200000000-2-2220000000
χ1122222-12222-1-12-1-1-1-1-12-12-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100000200-1-1022222-12222-1-12-1-1-1-1-12-12-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ1222222-12222-1-12-1-1-1-1-12-12-100002222-2-2-2111111-1-10000-1-1-1-100000-20011022222-12222-1-12-1-1-1-1-12-12-100002222-2-2-2111111-1-10000-1-1-1-100000-200110
χ1322222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-20011022222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-200110
χ1422222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-2111111-1-10000111100000200-1-1022222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-2111111-1-10000111100000200-1-10
χ152222-1222-1-122-12-1-1-1-1-12-12222200002-1-122-1-1-1-1-1-1-1-1-1-10000000020-1-10002222-1222-1-122-12-1-1-1-1-12-12222200002-1-122-1-1-1-1-1-1-1-1-1-10000000020-1-1000
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χ172222-1222-1-122-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-20110002222-1222-1-122-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-2011000
χ182222-1222-1-122-12-1-1-1-1-12-12-2-2-2-20000-211-2-21111-1-111110000000020-1-10002222-1222-1-122-12-1-1-1-1-12-12-2-2-2-20000-211-2-21111-1-111110000000020-1-1000
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χ2522-2-22-12-2-2-2112-1-111-121-2-10000-2-222000−i3i3−i3−i3i3i3-11000011-1-100000000i3−i3022-2-22-12-2-2-2112-1-111-121-2-10000-2-222000−i3i3−i3−i3i3i3-11000011-1-100000000i3−i30
χ2622-2-22-12-2-2-2112-1-111-121-2-10000-2-222000i3−i3i3i3−i3−i3-11000011-1-100000000−i3i3022-2-22-12-2-2-2112-1-111-121-2-10000-2-222000i3−i3i3i3−i3−i3-11000011-1-100000000−i3i30
χ2722-2-2-12-2211-2-2-12-111-112-1-222-2-200000−i3i300−i3i3−i3i31-1-1-1110000000000−i3i300022-2-2-12-2211-2-2-12-111-112-1-222-2-200000−i3i300−i3i3−i3i31-1-1-1110000000000−i3i3000
χ2822-2-2-12-2211-2-2-12-111-112-1-222-2-200000i3−i300i3−i3i3−i31-1-1-1110000000000i3−i300022-2-2-12-2211-2-2-12-111-112-1-222-2-200000i3−i300i3−i3i3−i31-1-1-1110000000000i3−i3000
χ2922-2-2-12-2211-2-2-12-111-112-1-2-2-22200000−i3i300−i3i3−i3i31-111-1-10000000000i3−i300022-2-2-12-2211-2-2-12-111-112-1-2-2-22200000−i3i300−i3i3−i3i31-111-1-10000000000i3−i3000
χ3022-2-2-12-2211-2-2-12-111-112-1-2-2-22200000i3−i300i3−i3i3−i31-111-1-10000000000−i3i300022-2-2-12-2211-2-2-12-111-112-1-2-2-22200000i3−i300i3−i3i3−i31-111-1-10000000000−i3i3000
χ312-22-222002-22-2-2-222-2-200002−22−22−22−2000000000002−22−22−22−2002-200000002-22-222002-22-2-2-222-2-200002−22−22−22−2000000000002−22−22−22−2002-20000000
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χ332-22-222002-22-2-2-222-2-20000−22−222−22−200000000000−22−222−22−200-2200000002-22-222002-22-2-2-222-2-20000−22−222−22−200000000000−22−222−22−200-220000000
χ342-22-222002-22-2-2-222-2-20000−22−22−22−2200000000000−22−22−22−22002-200000002-22-222002-22-2-2-222-2-20000−22−22−22−2200000000000−22−22−22−22002-20000000
χ352-2-222200-22-22-2-22-22-200002−2−222−2−22000000000002−2−222−2−222-20000000002-2-222200-22-22-2-22-22-200002−2−222−2−22000000000002−2−222−2−222-2000000000
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χ3944444-2-4-444-2-24-2-2-2-2-2-42-420000000000000000022000000000000000000044444-2-4-444-2-24-2-2-2-2-2-42-4200000000000000000220000000000000000000
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χ414444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-211111100000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-200000000-42222-1-1-1-11100000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-200000000-42222-1-1-1-1110000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-21111222200000000000003-3-33-1-100000000000000000004444-2-2-4-4-2-2-2-2-2-21111222200000000000003-3-33-1-10000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-2111122220000000000000-333-3-1-100000000000000000004444-2-2-4-4-2-2-2-2-2-2111122220000000000000-333-3-1-10000000000000000000
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χ514-44-44-2004-4-22-42-2-2220000000022−2222−22000000000000000−22−22000000000004-44-44-2004-4-22-42-2-2220000000022−2222−22000000000000000−22−2200000000000
χ524-44-44-2004-4-22-42-2-22200000000−2222−22220000000000000002−22−2000000000004-44-44-2004-4-22-42-2-22200000000−2222−22220000000000000002−22−200000000000
χ534-44-4-2400-224-42-4-2-222000022−2222−22000000000000000−22−220000000000000004-44-4-2400-224-42-4-2-222000022−2222−22000000000000000−22−22000000000000000
χ544-44-4-2400-224-42-4-2-2220000−2222−22220000000000000002−22−20000000000000004-44-4-2400-224-42-4-2-2220000−2222−22220000000000000002−22−2000000000000000
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χ564-4-444-200-442-2-42-22-2200000000−222222−220000000000000002−2−22000000000004-4-444-200-442-2-42-22-2200000000−222222−220000000000000002−2−2200000000000
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χ584-4-44-24002-2-442-4-22-220000−222222−220000000000000002−2−220000000000000004-4-44-24002-2-442-4-22-220000−222222−220000000000000002−2−22000000000000000
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χ61111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ62111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ6311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111
χ6411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1111111111-111-1-1-1
χ651111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11
χ661111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-11111-1-1-1-11111-11-1-111-1
χ671111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1
χ681111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11
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χ7222222-12222-1-12-1-1-1-1-12-12-100002222-2-2-2111111-1-10000-1-1-1-100000-200110-2-2-2-2-21-2-2-2-211-211111-21-210000-2-2-2-2222-1-1-1-1-1-1110000111100000200-1-10
χ7322222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-200110-2-2-2-2-21-2-2-2-211-211111-21-2100002222-2-2-2111111110000-1-1-1-100000200-1-10
χ7422222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-2111111-1-10000111100000200-1-10-2-2-2-2-21-2-2-2-211-211111-21-2100002222222-1-1-1-1-1-1110000-1-1-1-100000-200110
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χ772222-1222-1-122-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-2011000-2-2-2-21-2-2-211-2-21-211111-21-222220000-211-2-2111111-1-1-1-10000000020-1-1000
χ782222-1222-1-122-12-1-1-1-1-12-12-2-2-2-20000-211-2-21111-1-111110000000020-1-1000-2-2-2-21-2-2-211-2-21-211111-21-2222200002-1-122-1-1-1-111-1-1-1-100000000-2011000
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χ8222-2-222-22-2-2-2-2222-2-22-222-2-2-2220000000000000-22-2-222000000000000000-2-222-2-22-22222-2-2-222-22-2-2222-2-200000000000002-222-2-2000000000000000
χ8322-2-22-12-2-2-2112-1-111-121-2-1000022-2-2000−i3i3−i3−i3i3i3-110000-1-11100000000−i3i30-2-222-21-2222-1-1-211-1-11-2-1210000-2-222000i3−i3i3i3−i3−i31-1000011-1-100000000i3−i30
χ8422-2-22-12-2-2-2112-1-111-121-2-1000022-2-2000i3−i3i3i3−i3−i3-110000-1-11100000000i3−i30-2-222-21-2222-1-1-211-1-11-2-1210000-2-222000−i3i3−i3−i3i3i31-1000011-1-100000000−i3i30
χ8522-2-22-12-2-2-2112-1-111-121-2-10000-2-222000−i3i3−i3−i3i3i3-11000011-1-100000000i3−i30-2-222-21-2222-1-1-211-1-11-2-121000022-2-2000i3−i3i3i3−i3−i31-10000-1-11100000000−i3i30
χ8622-2-22-12-2-2-2112-1-111-121-2-10000-2-222000i3−i3i3i3−i3−i3-11000011-1-100000000−i3i30-2-222-21-2222-1-1-211-1-11-2-121000022-2-2000−i3i3−i3−i3i3i31-10000-1-11100000000i3−i30
χ8722-2-2-12-2211-2-2-12-111-112-1-222-2-200000−i3i300−i3i3−i3i31-1-1-1110000000000−i3i3000-2-2221-22-2-1-1221-21-1-11-1-212-2-22200000i3−i300i3−i3i3−i3-1111-1-10000000000i3−i3000
χ8822-2-2-12-2211-2-2-12-111-112-1-222-2-200000i3−i300i3−i3i3−i31-1-1-1110000000000i3−i3000-2-2221-22-2-1-1221-21-1-11-1-212-2-22200000−i3i300−i3i3−i3i3-1111-1-10000000000−i3i3000
χ8922-2-2-12-2211-2-2-12-111-112-1-2-2-22200000−i3i300−i3i3−i3i31-111-1-10000000000i3−i3000-2-2221-22-2-1-1221-21-1-11-1-21222-2-200000i3−i300i3−i3i3−i3-11-1-1110000000000−i3i3000
χ9022-2-2-12-2211-2-2-12-111-112-1-2-2-22200000i3−i300i3−i3i3−i31-111-1-10000000000−i3i3000-2-2221-22-2-1-1221-21-1-11-1-21222-2-200000−i3i300−i3i3−i3i3-11-1-1110000000000i3−i3000
χ912-22-222002-22-2-2-222-2-200002−22−22−22−2000000000002−22−22−22−2002-20000000-22-22-2-200-22-2222-2-2220000−22−22−22−2200000000000−22−22−22−2200-220000000
χ922-22-222002-22-2-2-222-2-200002−22−2−22−22000000000002−22−2−22−2200-220000000-22-22-2-200-22-2222-2-2220000−22−222−22−200000000000−22−222−22−2002-20000000
χ932-22-222002-22-2-2-222-2-20000−22−222−22−200000000000−22−222−22−200-220000000-22-22-2-200-22-2222-2-22200002−22−2−22−22000000000002−22−2−22−22002-20000000
χ942-22-222002-22-2-2-222-2-20000−22−22−22−2200000000000−22−22−22−22002-20000000-22-22-2-200-22-2222-2-22200002−22−22−22−2000000000002−22−22−22−200-220000000
χ952-2-222200-22-22-2-22-22-200002−2−222−2−22000000000002−2−222−2−222-2000000000-222-2-2-2002-22-222-22-220000−222−2−222−200000000000−222−2−222−2-22000000000
χ962-2-222200-22-22-2-22-22-200002−2−22−222−2000000000002−2−22−222−2-22000000000-222-2-2-2002-22-222-22-220000−222−22−2−2200000000000−222−22−2−222-2000000000
χ972-2-222200-22-22-2-22-22-20000−222−22−2−2200000000000−222−22−2−22-22000000000-222-2-2-2002-22-222-22-2200002−2−22−222−2000000000002−2−22−222−22-2000000000
χ982-2-222200-22-22-2-22-22-20000−222−2−222−200000000000−222−2−222−22-2000000000-222-2-2-2002-22-222-22-2200002−2−222−2−22000000000002−2−222−2−22-22000000000
χ9944444-2-4-444-2-24-2-2-2-2-2-42-4200000000000000000220000000000000000000-4-4-4-4-4244-4-422-4222224-24-200000000000000000-2-20000000000000000000
χ1004444-24-4-4-2-244-24-2-2-2-22-42-400000000000000000220000000000000000000-4-4-4-42-44422-4-42-42222-24-2400000000000000000-2-20000000000000000000
χ1014444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000-4-4-4-422-4-4222222-1-1-1-1222200000000-42222-1-1-1-1-1-10000000000000000000
χ1024444-2-244-2-2-2-2-2-21111-2-2-2-200000000-42222-1-1-1-1110000000000000000000-4-4-4-422-4-4222222-1-1-1-12222000000004-2-2-2-21111-1-10000000000000000000
χ1034444-2-2-4-4-2-2-2-2-2-21111222200000000000003-3-33-1-10000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20000000000000-333-3110000000000000000000
χ1044444-2-2-4-4-2-2-2-2-2-2111122220000000000000-333-3-1-10000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000000000003-3-33110000000000000000000
χ10544-4-44-2-44-4-4224-2-222-2-4-242000000000000000002-20000000000000000000-4-444-424-444-2-2-422-2-2242-4-200000000000000000-220000000000000000000
χ10644-4-4-244-422-4-4-24-222-2-2-42400000000000000000-220000000000000000000-4-4442-4-44-2-2442-42-2-2224-2-4000000000000000002-20000000000000000000
χ10744-4-4-2-24-42222-2-21-1-11-222-200000000000−2i32i3i3i3−i3−i31-10000000000000000000-4-44422-44-2-2-2-222-111-12-2-22000000000002i3−2i3−i3−i3i3i3-110000000000000000000
χ10844-4-4-2-24-42222-2-21-1-11-222-2000000000002i3−2i3−i3−i3i3i31-10000000000000000000-4-44422-44-2-2-2-222-111-12-2-2200000000000−2i32i3i3i3−i3−i3-110000000000000000000
χ10944-4-4-2-2-442222-2-21-1-112-2-22000000000−2i32i300i3−i3i3−i3-110000000000000000000-4-444224-4-2-2-2-222-111-1-222-20000000002i3−2i300−i3i3−i3i31-10000000000000000000
χ11044-4-4-2-2-442222-2-21-1-112-2-220000000002i3−2i300−i3i3−i3i3-110000000000000000000-4-444224-4-2-2-2-222-111-1-222-2000000000−2i32i300i3−i3i3−i31-10000000000000000000
χ1114-44-44-2004-4-22-42-2-2220000000022−2222−22000000000000000−22−2200000000000-44-44-4200-442-24-222-2-200000000−2222−22220000000000000002−22−200000000000
χ1124-44-44-2004-4-22-42-2-22200000000−2222−22220000000000000002−22−200000000000-44-44-4200-442-24-222-2-20000000022−2222−22000000000000000−22−2200000000000
χ1134-44-4-2400-224-42-4-2-222000022−2222−22000000000000000−22−22000000000000000-44-442-4002-2-44-2422-2-20000−2222−22220000000000000002−22−2000000000000000
χ1144-44-4-2400-224-42-4-2-2220000−2222−22220000000000000002−22−2000000000000000-44-442-4002-2-44-2422-2-2000022−2222−22000000000000000−22−22000000000000000
χ1154-4-444-200-442-2-42-22-220000000022−22−2222000000000000000−222−200000000000-444-4-42004-4-224-22-22-200000000−222222−220000000000000002−2−2200000000000
χ1164-4-444-200-442-2-42-22-2200000000−222222−220000000000000002−2−2200000000000-444-4-42004-4-224-22-22-20000000022−22−2222000000000000000−222−200000000000
χ1174-4-44-24002-2-442-4-22-22000022−22−2222000000000000000−222−2000000000000000-444-42-400-224-4-242-22-20000−222222−220000000000000002−2−22000000000000000
χ1184-4-44-24002-2-442-4-22-220000−222222−220000000000000002−2−22000000000000000-444-42-400-224-4-242-22-2000022−22−2222000000000000000−222−2000000000000000
χ1198-88-8-4-400-44-444422-2-2000000000000000000000000000000000000000000-88-8844004-44-4-4-4-2-222000000000000000000000000000000000000000000
χ1208-8-88-4-4004-44-4442-22-2000000000000000000000000000000000000000000-888-84400-44-44-4-4-22-22000000000000000000000000000000000000000000

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