Finite Group Databasebeta

← Group #11868360

Character table — Group #11868360

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order122233446666663666121212124441212121212121212121222488121212122424242446612124488222266446666666666121212124441212121212121212121222488121212122424242446612124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-11111-1-1-1-11-1-111-1-1-1-111111111111111111111111111111111111-1-11-1-11111-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-11111111111111-111-1-1-1-11111-111-1-1-1-1-1-11111111111111111111111-1-11111111111111-111-1-1-1-11111-111-1-1-1-1-1-1
χ61111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1
χ9222222-2-22222222222-2-2-2-22200000-2-2000000-20022-2-20000000000000222222-2-22222222222-2-2-2-22200000-2-2000000-20022-2-20000000000000
χ10222222-2-22222222222-2-2-2-2-2-200000-2-2000000200-2-2220000000000000222222-2-22222222222-2-2-2-2-2-200000-2-2000000200-2-2220000000000000
χ1122222-122-12-1-122-1-1-1-122-1-1002-1-122-1-1-1-1-1-1220220000-1-1-1-10-1-100000022222-122-12-1-122-1-1-1-122-1-1002-1-122-1-1-1-1-1-1220220000-1-1-1-10-1-1000000
χ1222222-122-12-1-122-1-1-1-122-1-1002-1-122-1-1-1-1-1-1-2-20-2-20000111101100000022222-122-12-1-122-1-1-1-122-1-1002-1-122-1-1-1-1-1-1-2-20-2-200001111011000000
χ1322222-122-12-1-122-1-1-1-122-1-100-211-2-2-1-11111220-2-2000011110-1-100000022222-122-12-1-122-1-1-1-122-1-100-211-2-2-1-11111220-2-2000011110-1-1000000
χ1422222-122-12-1-122-1-1-1-122-1-100-211-2-2-1-11111-2-20220000-1-1-1-101100000022222-122-12-1-122-1-1-1-122-1-100-211-2-2-1-11111-2-20220000-1-1-1-1011000000
χ152222-12222-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-100200-1-1-1-10000200-1-100002222-12222-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-100200-1-1-1-10000200-1-10000
χ162222-12222-122-1-1-1-1-1-1-1-12222-2-2-211-1-1111100200-1-1-1-10000-2001100002222-12222-122-1-1-1-1-1-1-1-12222-2-2-211-1-1111100200-1-1-1-10000-200110000
χ172222-12222-122-1-1-1-1-1-1-1-122-2-2222-1-1-1-1-1-1-1-100-20011110000-2001100002222-12222-122-1-1-1-1-1-1-1-122-2-2222-1-1-1-1-1-1-1-100-20011110000-200110000
χ182222-12222-122-1-1-1-1-1-1-1-122-2-2-2-2-211-1-1111100-20011110000200-1-100002222-12222-122-1-1-1-1-1-1-1-122-2-2-2-2-211-1-1111100-20011110000200-1-10000
χ192222-12-2-22-122-1-1-1-1-1-111-2-222000−i3i311−i3−i3i3i300-200-1-1110000000−i3i300002222-12-2-22-122-1-1-1-1-1-111-2-222000−i3i311−i3−i3i3i300-200-1-1110000000−i3i30000
χ202222-12-2-22-122-1-1-1-1-1-111-2-222000i3−i311i3i3−i3−i300-200-1-1110000000i3−i300002222-12-2-22-122-1-1-1-1-1-111-2-222000i3−i311i3i3−i3−i300-200-1-1110000000i3−i30000
χ212222-12-2-22-122-1-1-1-1-1-111-2-2-2-2000−i3i311−i3−i3i3i30020011-1-10000000i3−i300002222-12-2-22-122-1-1-1-1-1-111-2-2-2-2000−i3i311−i3−i3i3i30020011-1-10000000i3−i30000
χ222222-12-2-22-122-1-1-1-1-1-111-2-2-2-2000i3−i311i3i3−i3−i30020011-1-10000000−i3i300002222-12-2-22-122-1-1-1-1-1-111-2-2-2-2000i3−i311i3i3−i3−i30020011-1-10000000−i3i30000
χ2322-2-2222-2-222-2-2-22-22-22-22-200000002-200002-20000000000002-200000022-2-2222-2-222-2-2-22-22-22-22-200000002-200002-20000000000002-2000000
χ2422-2-2222-2-222-2-2-22-22-22-22-200000002-20000-22000000000000-2200000022-2-2222-2-222-2-2-22-22-22-22-200000002-20000-22000000000000-22000000
χ2522-2-222-22-222-2-2-22-22-2-22-220000000-2200000000000000000000002i−2i0022-2-222-22-222-2-2-22-22-2-22-220000000-2200000000000000000000002i−2i00
χ2622-2-222-22-222-2-2-22-22-2-22-220000000-220000000000000000000000−2i2i0022-2-222-22-222-2-2-22-22-2-22-220000000-220000000000000000000000−2i2i00
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χ2822-2-22-12-212-11-2-2-11-112-2-110003−300-113−33−3-220000000−3−33301-100000022-2-22-12-212-11-2-2-11-112-2-110003−300-113−33−3-220000000−3−33301-1000000
χ2922-2-22-12-212-11-2-2-11-112-2-11000−3300-11−33−332-20000000−3−3330-1100000022-2-22-12-212-11-2-2-11-112-2-11000−3300-11−33−332-20000000−3−3330-11000000
χ3022-2-22-12-212-11-2-2-11-112-2-11000−3300-11−33−33-22000000033−3−301-100000022-2-22-12-212-11-2-2-11-112-2-11000−3300-11−33−33-22000000033−3−301-1000000
χ312-22-222002-2-2-2-2222-2-200002i−2i00000000000000−i2i22i−2i00−i2i2−i2i200000002−22-22-222002-2-2-2-2222-2-200002i−2i00000000000000−i2i22i−2i00−i2i2−i2i200000002−2
χ322-22-222002-2-2-2-2222-2-200002i−2i00000000000000i2−i22i−2i00i2−i2i2−i20000000−222-22-222002-2-2-2-2222-2-200002i−2i00000000000000i2−i22i−2i00i2−i2i2−i20000000−22
χ332-22-222002-2-2-2-2222-2-20000−2i2i00000000000000−i2i2−2i2i00−i2i2−i2i20000000−222-22-222002-2-2-2-2222-2-20000−2i2i00000000000000−i2i2−2i2i00−i2i2−i2i20000000−22
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χ3544444-2-4-4-24-2-244-2-2-2-2-4-4220000000220000000000000000000000000044444-2-4-4-24-2-244-2-2-2-2-4-42200000002200000000000000000000000000
χ364444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-211111100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000
χ374444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-10000000000000000000000
χ384444-2-2-4-4-2-2-2-2-2-21111222200000−2i32i3-1-1i3i3−i3−i300000000000000000000004444-2-2-4-4-2-2-2-2-2-21111222200000−2i32i3-1-1i3i3−i3−i30000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-211112222000002i3−2i3-1-1−i3−i3i3i300000000000000000000004444-2-2-4-4-2-2-2-2-2-211112222000002i3−2i3-1-1−i3−i3i3i30000000000000000000000
χ4044-4-44-2-4424-22-4-4-22-22-442-200000002-20000000000000000000000000044-4-44-2-4424-22-4-4-22-22-442-200000002-200000000000000000000000000
χ4144-4-4-244-4-4-24-422-22-22-224-40000000-220000000000000000000000000044-4-4-244-4-4-24-422-22-22-224-40000000-2200000000000000000000000000
χ4244-4-4-24-44-4-24-422-22-222-2-4400000002-20000000000000000000000000044-4-4-24-44-4-24-422-22-222-2-4400000002-200000000000000000000000000
χ4344-4-4-2-24-42-2-22221-11-1-22-2200023−23001-1−33−33000000000000000000000044-4-4-2-24-42-2-22221-11-1-22-2200023−23001-1−33−330000000000000000000000
χ4444-4-4-2-24-42-2-22221-11-1-22-22000−2323001-13−33−3000000000000000000000044-4-4-2-24-42-2-22221-11-1-22-22000−2323001-13−33−30000000000000000000000
χ4544-4-4-2-2-442-2-22221-11-12-22-20000000-113i−3i−3i3i000000000000000000000044-4-4-2-2-442-2-22221-11-12-22-20000000-113i−3i−3i3i0000000000000000000000
χ4644-4-4-2-2-442-2-22221-11-12-22-20000000-11−3i3i3i−3i000000000000000000000044-4-4-2-2-442-2-22221-11-12-22-20000000-11−3i3i3i−3i0000000000000000000000
χ474-44-44-200-2-422-44-2-22200000000000000000000−2i22i20000i2−i2i2−i20000000004-44-44-200-2-422-44-2-22200000000000000000000−2i22i20000i2−i2i2−i2000000000
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χ494-44-4-240042-4-42-2-2-22200004i−4i0000000000000000−2i2i0000000000000004-44-4-240042-4-42-2-2-22200004i−4i0000000000000000−2i2i000000000000000
χ504-44-4-240042-4-42-2-2-2220000−4i4i00000000000000002i−2i0000000000000004-44-4-240042-4-42-2-2-2220000−4i4i00000000000000002i−2i000000000000000
χ514-4-444400-4-4-444-44-4-440000000000000000000000000000000000000004-4-444400-4-4-444-44-4-44000000000000000000000000000000000000000
χ524-4-444-2002-42-24-4-222-200000000000000000000000000i6−i6−i6i60000000004-4-444-2002-42-24-4-222-200000000000000000000000000i6−i6−i6i6000000000
χ534-4-444-2002-42-24-4-222-200000000000000000000000000−i6i6i6−i60000000004-4-444-2002-42-24-4-222-200000000000000000000000000−i6i6i6−i6000000000
χ544-4-44-2400-42-44-22-222-200000000000000000000000023−2300000000000004-4-44-2400-42-44-22-222-200000000000000000000000023−230000000000000
χ554-4-44-2400-42-44-22-222-2000000000000000000000000−232300000000000004-4-44-2400-42-44-22-222-2000000000000000000000000−23230000000000000
χ568-88-8-4-400-44444-422-2-20000000000000000000000000000000000000008-88-8-4-400-44444-422-2-2000000000000000000000000000000000000000
χ578-8-88-4-400444-4-442-2-220000000000000000000000000000000000000008-8-88-4-400444-4-442-2-22000000000000000000000000000000000000000
χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5911111111111111111111111111111111111-1-11-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-111-1-11111
χ60111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1-1-1-111111-1-111-1-111
χ61111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ621111111111111111111111-1-11111111111111-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11-1-1111111
χ631111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ641111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111111111111-1-1-1-1-111-1-1
χ651111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-11111-1-1-1-1-111-1-1-1-111
χ66222222-2-22222222222-2-2-2-22200000-2-2000000-20022-2-20000000000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-20000022000000200-2-2220000000000000
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χ6822222-122-12-1-122-1-1-1-122-1-1002-1-122-1-1-1-1-1-1220220000-1-1-1-10-1-1000000-2-2-2-2-21-2-21-211-2-21111-2-21100-211-2-2111111-2-20-2-200001111011000000
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χ752222-12222-122-1-1-1-1-1-1-1-122-2-2-2-2-211-1-1111100-20011110000200-1-10000-2-2-2-21-2-2-2-21-2-211111111-2-222222-1-111-1-1-1-100200-1-1-1-10000-200110000
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χ782222-12-2-22-122-1-1-1-1-1-111-2-2-2-2000−i3i311−i3−i3i3i30020011-1-10000000i3−i30000-2-2-2-21-222-21-2-2111111-1-12222000i3−i3-1-1i3i3−i3−i300-200-1-1110000000−i3i30000
χ792222-12-2-22-122-1-1-1-1-1-111-2-2-2-2000i3−i311i3i3−i3−i30020011-1-10000000−i3i30000-2-2-2-21-222-21-2-2111111-1-12222000−i3i3-1-1−i3−i3i3i300-200-1-1110000000i3−i30000
χ8022-2-2222-2-222-2-2-22-22-22-22-200000002-200002-20000000000002-2000000-2-222-2-2-222-2-2222-22-22-22-220000000-220000-22000000000000-22000000
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χ8422-2-22-12-212-11-2-2-11-112-2-110003−300-113−33−32-2000000033−3−30-11000000-2-222-21-22-1-21-1221-11-1-221-1000−33001-1−33−33-220000000−3−33301-1000000
χ8522-2-22-12-212-11-2-2-11-112-2-110003−300-113−33−3-220000000−3−33301-1000000-2-222-21-22-1-21-1221-11-1-221-1000−33001-1−33−332-2000000033−3−30-11000000
χ8622-2-22-12-212-11-2-2-11-112-2-11000−3300-11−33−332-20000000−3−3330-11000000-2-222-21-22-1-21-1221-11-1-221-10003−3001-13−33−3-22000000033−3−301-1000000
χ8722-2-22-12-212-11-2-2-11-112-2-11000−3300-11−33−33-22000000033−3−301-1000000-2-222-21-22-1-21-1221-11-1-221-10003−3001-13−33−32-20000000−3−3330-11000000
χ882-22-222002-2-2-2-2222-2-200002i−2i00000000000000−i2i22i−2i00−i2i2−i2i200000002−2-22-22-2-200-22222-2-2-2220000−2i2i00000000000000i2−i2−2i2i00i2−i2i2−i20000000−22
χ892-22-222002-2-2-2-2222-2-200002i−2i00000000000000i2−i22i−2i00i2−i2i2−i20000000−22-22-22-2-200-22222-2-2-2220000−2i2i00000000000000−i2i2−2i2i00−i2i2−i2i200000002−2
χ902-22-222002-2-2-2-2222-2-20000−2i2i00000000000000−i2i2−2i2i00−i2i2−i2i20000000−22-22-22-2-200-22222-2-2-22200002i−2i00000000000000i2−i22i−2i00i2−i2i2−i200000002−2
χ912-22-222002-2-2-2-2222-2-20000−2i2i00000000000000i2−i2−2i2i00i2−i2i2−i200000002−2-22-22-2-200-22222-2-2-22200002i−2i00000000000000−i2i22i−2i00−i2i2−i2i20000000−22
χ9244444-2-4-4-24-2-244-2-2-2-2-4-42200000002200000000000000000000000000-4-4-4-4-42442-422-4-4222244-2-20000000-2-200000000000000000000000000
χ934444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000-4-4-4-422-4-4222222-1-1-1-1222200-42222-1-1-1-1-1-10000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-10000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-2-1-111110000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-21111222200000−2i32i3-1-1i3i3−i3−i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000002i3−2i311−i3−i3i3i30000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-211112222000002i3−2i3-1-1−i3−i3i3i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000−2i32i311i3i3−i3−i30000000000000000000000
χ9744-4-44-2-4424-22-4-4-22-22-442-200000002-200000000000000000000000000-4-444-424-4-2-42-2442-22-24-4-220000000-2200000000000000000000000000
χ9844-4-4-244-4-4-24-422-22-22-224-40000000-2200000000000000000000000000-4-4442-4-4442-44-2-22-22-22-2-4400000002-200000000000000000000000000
χ9944-4-4-24-44-4-24-422-22-222-2-4400000002-200000000000000000000000000-4-4442-44-442-44-2-22-22-2-224-40000000-2200000000000000000000000000
χ10044-4-4-2-24-42-2-22221-11-1-22-2200023−23001-1−33−330000000000000000000000-4-44422-44-222-2-2-2-11-112-22-2000−232300-113−33−30000000000000000000000
χ10144-4-4-2-24-42-2-22221-11-1-22-22000−2323001-13−33−30000000000000000000000-4-44422-44-222-2-2-2-11-112-22-200023−2300-11−33−330000000000000000000000
χ10244-4-4-2-2-442-2-22221-11-12-22-20000000-113i−3i−3i3i0000000000000000000000-4-444224-4-222-2-2-2-11-11-22-2200000001-1−3i3i3i−3i0000000000000000000000
χ10344-4-4-2-2-442-2-22221-11-12-22-20000000-11−3i3i3i−3i0000000000000000000000-4-444224-4-222-2-2-2-11-11-22-2200000001-13i−3i−3i3i0000000000000000000000
χ1044-44-44-200-2-422-44-2-22200000000000000000000−2i22i20000i2−i2i2−i2000000000-44-44-420024-2-24-422-2-2000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ1054-44-44-200-2-422-44-2-222000000000000000000002i2−2i20000−i2i2−i2i2000000000-44-44-420024-2-24-422-2-200000000000000000000−2i22i20000i2−i2i2−i2000000000
χ1064-44-4-240042-4-42-2-2-22200004i−4i0000000000000000−2i2i000000000000000-44-442-400-4-244-2222-2-20000−4i4i00000000000000002i−2i000000000000000
χ1074-44-4-240042-4-42-2-2-2220000−4i4i00000000000000002i−2i000000000000000-44-442-400-4-244-2222-2-200004i−4i0000000000000000−2i2i000000000000000
χ1084-4-444400-4-4-444-44-4-44000000000000000000000000000000000000000-444-4-4-400444-4-44-444-4000000000000000000000000000000000000000
χ1094-4-444-2002-42-24-4-222-200000000000000000000000000i6−i6−i6i6000000000-444-4-4200-24-22-442-2-2200000000000000000000000000−i6i6i6−i6000000000
χ1104-4-444-2002-42-24-4-222-200000000000000000000000000−i6i6i6−i6000000000-444-4-4200-24-22-442-2-2200000000000000000000000000i6−i6−i6i6000000000
χ1114-4-44-2400-42-44-22-222-200000000000000000000000023−230000000000000-444-42-4004-24-42-22-2-22000000000000000000000000−23230000000000000
χ1124-4-44-2400-42-44-22-222-2000000000000000000000000−23230000000000000-444-42-4004-24-42-22-2-2200000000000000000000000023−230000000000000
χ1138-88-8-4-400-44444-422-2-2000000000000000000000000000000000000000-88-8844004-4-4-4-44-2-222000000000000000000000000000000000000000
χ1148-8-88-4-400444-4-442-2-22000000000000000000000000000000000000000-888-84400-4-4-444-4-222-2000000000000000000000000000000000000000

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