Finite Group Databasebeta

← Group #11868971

Character table — Group #11868971

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order122233446666662234444666666612121212121212121212121212121212121222446666661212121212121212121212224444666666881212121212121212121244824242424881212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-111-1-1111-11-1-1
χ611111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-11-1-111-1-1-11-111
χ711111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-11-111-1-1-1-11-1-111
χ811111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11-1-11111-111-1-1
χ911111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-11111-1-1-111-111-1-1-1-11111-1-11111-1-11-1-111-1-111-11-11-1
χ1011111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-11111-1-1-111-111-1-1-1-1-1-111-1-11111-1-1-111-1-111-1-11-11-11
χ1111111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-1111111-1-111-1-1-1-1111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-111-1-111111-1-11-1
χ1311111111111111-1-11-1-111-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-11111111-1-1-1-11
χ1411111111111111-1-11-1-111-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1
χ1511111111111111-1-11-1-111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-111-1-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-111-1
χ1611111111111111-1-11-1-111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-11
χ17222222-2-2222222002002-20000222-2-2-200002222-2-22222-222-2-2000000-200-2-2-2-2000000-200222000000-2-2-2-200002200000000000000
χ18222222-2-2222222002002-20000222-2-2-200002222-2-22222-2-2-222000000-200-2-2-2-2000000200-2-2-200000022220000-2-200000000000000
χ19222222-2-222222200200-220000222-2-2-20000-2-2-2-222-2-2-2-2-222-2-2000000200-2-222000000200-222000000-2-2220000-2-200000000000000
χ20222222-2-222222200200-220000222-2-2-20000-2-2-2-222-2-2-2-2-2-2-222000000200-2-222000000-2002-2-200000022-2-200002200000000000000
χ2122222-1222-1-122-122-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222-1-122-122-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-222-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111100111111111100000000000000
χ2322222-1222-1-122-122-1-2-2-2-2-1-1-1-1-1-1-12-1-1111111-2-21111112222222-1-1-1-1-2-2-2-1-111111122-2-2-2-2-1-1-1-1-1-100-1-11111111100000000000000
χ2422222-1222-1-122-122-1-2-2-2-2-1-1-1-1-1-1-12-1-1111111-2-21111112-2-2-2-222-1-1-1-1-2-2-2-1-1111111-2-222221111110011-1-1-1-1-1-1-1-100000000000000
χ2522222-1222-1-122-1-2-2-122-2-21111-1-1-12-1-1-1-1-1-111-2-211111122222-2-21111-222-1-111-1-1-1-1-2-2-222-2-1-1111100-1-111-1-1-1-11100000000000000
χ2622222-1222-1-122-1-2-2-122-2-21111-1-1-12-1-1-1-1-1-111-2-21111112-2-2-2-2-2-21111-222-1-111-1-1-1-1222-2-2211-1-1-1-10011-1-11111-1-100000000000000
χ2722222-1222-1-122-1-2-2-1-2-2221111-1-1-12-1-11111-1-122-1-1-1-1-1-122222-2-211112-2-2-1-1-1-11111-2-22-2-22-1-1111100-1-1-1-11111-1-100000000000000
χ2822222-1222-1-122-1-2-2-1-2-2221111-1-1-12-1-11111-1-122-1-1-1-1-1-12-2-2-2-2-2-211112-2-2-1-1-1-1111122-222-211-1-1-1-1001111-1-1-1-11100000000000000
χ2922222-1-2-22-1-122-100-1002-2−i3−i3i3i3-1-1-1-211−i3−i3i3i3-1-12211-1-1-1-1-222-2-200−i3−i3i3i3-2001111−i3−i3i3i300-2002-1-1−i3−i3i3i3001111−i3−i3i3i3-1-100000000000000
χ3022222-1-2-22-1-122-100-1002-2−i3−i3i3i3-1-1-1-211−i3−i3i3i3-1-12211-1-1-1-1-2-2-22200−i3−i3i3i3-2001111−i3−i3i3i300200-211i3i3−i3−i300-1-1-1-1i3i3−i3−i31100000000000000
χ3122222-1-2-22-1-122-100-1002-2i3i3−i3−i3-1-1-1-211i3i3−i3−i3-1-12211-1-1-1-1-222-2-200i3i3−i3−i3-2001111i3i3−i3−i300-2002-1-1i3i3−i3−i3001111i3i3−i3−i3-1-100000000000000
χ3222222-1-2-22-1-122-100-1002-2i3i3−i3−i3-1-1-1-211i3i3−i3−i3-1-12211-1-1-1-1-2-2-22200i3i3−i3−i3-2001111i3i3−i3−i300200-211−i3−i3i3i300-1-1-1-1−i3−i3i3i31100000000000000
χ3322222-1-2-22-1-122-100-100-22−i3−i3i3i3-1-1-1-211i3i3−i3−i311-2-2-1-11111-222-2-200−i3−i3i3i320011-1-1i3i3−i3−i300200-2-1-1−i3−i3i3i30011-1-1i3i3−i3−i31100000000000000
χ3422222-1-2-22-1-122-100-100-22−i3−i3i3i3-1-1-1-211i3i3−i3−i311-2-2-1-11111-2-2-22200−i3−i3i3i320011-1-1i3i3−i3−i300-200211i3i3−i3−i300-1-111−i3−i3i3i3-1-100000000000000
χ3522222-1-2-22-1-122-100-100-22i3i3−i3−i3-1-1-1-211−i3−i3i3i311-2-2-1-11111-222-2-200i3i3−i3−i320011-1-1−i3−i3i3i300200-2-1-1i3i3−i3−i30011-1-1−i3−i3i3i31100000000000000
χ3622222-1-2-22-1-122-100-100-22i3i3−i3−i3-1-1-1-211−i3−i3i3i311-2-2-1-11111-2-2-22200i3i3−i3−i320011-1-1−i3−i3i3i300-200211−i3−i3i3i300-1-111i3i3−i3−i3-1-100000000000000
χ372222-1222-122-1-1222-122222222-1-1-1-122222222-1-122-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220000000000222-1-1-1-100-1-1000
χ382222-1222-122-1-1222-122222222-1-1-1-122222222-1-122-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-20000000000-2-2-211110011000
χ392222-1222-122-1-1222-1-2-2-2-22222-1-1-1-122-2-2-2-2-2-211-2-21111-10000-1-1-1-1-1-1111-1-1111111000000000000220000000000-22-2-1-11100-11000
χ402222-1222-122-1-1222-1-2-2-2-22222-1-1-1-122-2-2-2-2-2-211-2-21111-10000-1-1-1-1-1-1111-1-1111111000000000000-2-200000000002-2211-1-1001-1000
χ412222-1222-122-1-12-2-2-122-2-2-2-2-2-2-1-1-1-1222222-2-211-2-21111-100001111111-1-1-1-111-1-1-1-10000000000002200000000002-2-2-1-111001-1000
χ422222-1222-122-1-12-2-2-122-2-2-2-2-2-2-1-1-1-1222222-2-211-2-21111-100001111111-1-1-1-111-1-1-1-1000000000000-2-20000000000-22211-1-100-11000
χ432222-1222-122-1-12-2-2-1-2-222-2-2-2-2-1-1-1-122-2-2-2-222-1-122-1-1-1-1-10000111111-111-1-1-1-11111000000000000220000000000-2-22-1-1-1-10011000
χ442222-1222-122-1-12-2-2-1-2-222-2-2-2-2-1-1-1-122-2-2-2-222-1-122-1-1-1-1-10000111111-111-1-1-1-11111000000000000-2-2000000000022-2111100-1-1000
χ4522-2-2222-222-2-2-2-22-2200002-22-22-2-222-200000000000000-22-22-22-22-22-20002-20000002-200002-22-22-2002-20000000000000000000000
χ4622-2-2222-222-2-2-2-22-2200002-22-22-2-222-200000000000000-2-22-222-22-22-20002-2000000-220000-22-22-2200-220000000000000000000000
χ4722-2-2222-222-2-2-2-2-2220000-22-222-2-222-200000000000000-22-22-2-22-22-220002-2000000-2200002-2-22-22002-20000000000000000000000
χ4822-2-2222-222-2-2-2-2-2220000-22-222-2-222-200000000000000-2-22-22-22-22-220002-20000002-20000-222-22-200-220000000000000000000000
χ4922-2-222-2222-2-2-2-20022i−2i0000002-2-2-2-222i−2i2i−2i000000000022-2-2200000002i−2i-22002i−2i2i−2i0002i−2i02-2000000-22002i−2i2i−2i0000000000000000
χ5022-2-222-2222-2-2-2-20022i−2i0000002-2-2-2-222i−2i2i−2i00000000002-222-200000002i−2i-22002i−2i2i−2i000−2i2i0-220000002-200−2i2i−2i2i0000000000000000
χ5122-2-222-2222-2-2-2-2002−2i2i0000002-2-2-2-22−2i2i−2i2i000000000022-2-220000000−2i2i-2200−2i2i−2i2i000−2i2i02-2000000-2200−2i2i−2i2i0000000000000000
χ5222-2-222-2222-2-2-2-2002−2i2i0000002-2-2-2-22−2i2i−2i2i00000000002-222-20000000−2i2i-2200−2i2i−2i2i0002i−2i0-220000002-2002i−2i2i−2i0000000000000000
χ5322-2-22-12-22-11-2-212-2-10000-11-11-1112-113−3−333−3003−333−3−3-22-22-22-2-11-11000-113−33−3−332-20000-11-11-1100-113−33−3−333−300000000000000
χ5422-2-22-12-22-11-2-212-2-10000-11-11-1112-113−3−333−3003−333−3−3-2-22-222-2-11-11000-113−33−3−33-2200001-11-11-1001-1−33−333−3−3300000000000000
χ5522-2-22-12-22-11-2-212-2-10000-11-11-1112-11−333−3−3300−33−3−333-22-22-22-2-11-11000-11−33−333−32-20000-11-11-1100-11−33−333−3−3300000000000000
χ5622-2-22-12-22-11-2-212-2-10000-11-11-1112-11−333−3−3300−33−3−333-2-22-222-2-11-11000-11−33−333−3-2200001-11-11-1001-13−33−3−333−300000000000000
χ5722-2-22-12-22-11-2-21-22-100001-11-1-1112-113−3−33−3300−33−3−333-22-22-2-221-11-1000-11−333−3−33-220000-111-11-100-11−333−3−33−3300000000000000
χ5822-2-22-12-22-11-2-21-22-100001-11-1-1112-113−3−33−3300−33−3−333-2-22-22-221-11-1000-11−333−3−332-200001-1-11-11001-13−3−333−33−300000000000000
χ5922-2-22-12-22-11-2-21-22-100001-11-1-1112-11−333−33−3003−333−3−3-22-22-2-221-11-1000-113−3−333−3-220000-111-11-100-113−3−333−33−300000000000000
χ6022-2-22-12-22-11-2-21-22-100001-11-1-1112-11−333−33−3003−333−3−3-2-22-22-221-11-1000-113−3−333−32-200001-1-11-11001-1−333−3−33−3300000000000000
χ6122-2-22-1-222-11-2-2100-12i−2i00−i3i3i3−i3-111-21-1−ii−ii3−300−3333−3−322-2-2200−i3i3i3−i302i−2i1-1−33−ii−ii0002i−2i0-11−i3i3i3−i3001-1−33−ii−ii3−300000000000000
χ6222-2-22-1-222-11-2-2100-12i−2i00−i3i3i3−i3-111-21-1−ii−ii3−300−3333−3−32-222-200−i3i3i3−i302i−2i1-1−33−ii−ii000−2i2i01-1i3−i3−i3i300-113−3i−ii−i−3300000000000000
χ6322-2-22-1-222-11-2-2100-12i−2i00i3−i3−i3i3-111-21-1−ii−ii−33003−3−3−33322-2-2200i3−i3−i3i302i−2i1-13−3−ii−ii0002i−2i0-11i3−i3−i3i3001-13−3−ii−ii−3300000000000000
χ6422-2-22-1-222-11-2-2100-12i−2i00i3−i3−i3i3-111-21-1−ii−ii−33003−3−3−3332-222-200i3−i3−i3i302i−2i1-13−3−ii−ii000−2i2i01-1−i3i3i3−i300-11−33i−ii−i3−300000000000000
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χ8344-4-4-2-24-4-2-222224-410000-22-221-1-1-2-2223−23−232323−230023−23−3−33320000-221-11-10001-1−33−333−300000000000000000000000000000000000000
χ8444-4-4-2-24-4-2-222224-410000-22-221-1-1-2-22−232323−23−232300−232333−3−320000-221-11-10001-13−33−3−3300000000000000000000000000000000000000
χ8544-4-4-2-24-4-2-22222-44100002-22-21-1-1-2-2223−23−2323−232300−232333−3−3200002-2-11-110001-13−3−333−300000000000000000000000000000000000000
χ8644-4-4-2-24-4-2-22222-44100002-22-21-1-1-2-22−232323−2323−230023−23−3−333200002-2-11-110001-1−333−3−3300000000000000000000000000000000000000
χ8744-4-4-2-2-44-2-222220014i−4i00−2i32i32i3−2i31-1-122-2−2i2i−2i2i23−2300−2323−3−333-2000000i3−i3−i3i30−2i2i-113−3i−ii−i00000000000000000000000000000000000000
χ8844-4-4-2-2-44-2-222220014i−4i002i3−2i3−2i32i31-1-122-2−2i2i−2i2i−23230023−2333−3−3-2000000−i3i3i3−i30−2i2i-11−33i−ii−i00000000000000000000000000000000000000
χ8944-4-4-2-2-44-2-22222001−4i4i00−2i32i32i3−2i31-1-122-22i−2i2i−2i−23230023−2333−3−3-2000000i3−i3−i3i302i−2i-11−33−ii−ii00000000000000000000000000000000000000
χ9044-4-4-2-2-44-2-22222001−4i4i002i3−2i3−2i32i31-1-122-22i−2i2i−2i23−2300−2323−3−333-2000000−i3i3i3−i302i−2i-113−3−ii−ii00000000000000000000000000000000000000
χ914-44-44400-4-44-44-400400000000-4-440000000000000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ924-44-44400-4-44-44-400400000000-4-4400000000000000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ934-4-444400-4-4-44-4400400000000-44-400000000000000000000000000000000000000000000000000022−22000000000000022−22000000000
χ944-4-444400-4-4-44-4400400000000-44-4000000000000000000000000000000000000000000000000000−22220000000000000−2222000000000
χ954-4-44-24002-4-4-22400-2000000002-2200000000023−230023−2323−23000000000000000000000000000000000022−220000000000000−226−60000000
χ964-4-44-24002-4-4-22400-2000000002-2200000000023−230023−2323−230000000000000000000000000000000000−222200000000000002−2−660000000
χ974-4-44-24002-4-4-22400-2000000002-22000000000−232300−2323−2323000000000000000000000000000000000022−220000000000000−22−660000000
χ984-4-44-24002-4-4-22400-2000000002-22000000000−232300−2323−23230000000000000000000000000000000000−222200000000000002−26−60000000
χ998-88-88-400-84-4-88400-40000000044-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48004-884-4-800-40000000044-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-40044-44-4400200000000-2-2200000000000006-6-66000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-40044-44-4400200000000-2-220000000000000-666-6000000000000000000000000000000000000000000000000000000000000
χ1038-8-888-400-8448-8-400-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-400444-44-400200000000-22-200000000043−4300−2323−2323000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-400444-44-400200000000-22-2000000000−43430023−2323−23000000000000000000000000000000000000000000000000000000000000

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