Finite Group Databasebeta

← Group #11868828

Character table — Group #11868828

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244444812121212121212122424242424242424444446612121212121212121244448812121212121212242424242241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-11111-1-11-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-111-111-1-11111111-1-11-11-111-1-111-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-111-111-1-1-1-1-11-1111-1-1-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-111-1-111111-1-1-11-11-1-111-1-11-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-1-1-1-11-11-1-1-11111111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-111111111-1-1
χ9111111111111111-1-111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-11-1-11
χ11111111111111111-1-111111111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-111-1-11-1-11-1-11111-1-1-11111-1-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-111-1-1-111-111-1-1-1-1111-1-111-11-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1111-1-1111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1111111-1-1-11111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-2000000000000-22222-2-200000-2-20000000000-20000002000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000000222-2-2-2-2000002200000000002000000-2000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-2000000000000-2-2-2222200000220000000000-2000000-2000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000002-2-2-2-22200000-2-2000000000020000002000
χ2122222-1222-1-12-12-122-1-1-1-12-1222220022-1-1-1-122-1-122-1-1-1-1-1-100220-1-100-1-12-1-1-1-1002020-1-100-1-10-1-100000000
χ2222222-1222-1-12-12-122-1-1-1-12-12222200-2-2-1-11122-1-1-2-211111100220-1-100-1-1-2-1-11100-20-20-1-1001101100000000
χ2322222-1222-1-12-12-122-1-1-1-12-12-2-2-2-20022-1-1-1-122-1-122-1-1-1-1-1-100-2-201100112-1-1-1-100-20-2011001101100000000
χ2422222-1222-1-12-12-122-1-1-1-12-12-2-2-2-200-2-2-1-11122-1-1-2-211111100-2-20110011-2-1-1110020201100-1-10-1-100000000
χ2522222-1222-1-12-12-1-2-2-1-1-1-12-122222002-211-1-1-2-2-1-1-2-211111100-2-20-1-100-1-1211-1-10020-201100-1-101100000000
χ2622222-1222-1-12-12-1-2-2-1-1-1-12-12222200-221111-2-2-1-122-1-1-1-1-1-100-2-20-1-100-1-1-2111100-20201100110-1-100000000
χ2722222-1222-1-12-12-1-2-2-1-1-1-12-12-2-2-2-2002-211-1-1-2-2-1-1-2-211111100220110011211-1-100-2020-1-100110-1-100000000
χ2822222-1222-1-12-12-1-2-2-1-1-1-12-12-2-2-2-200-221111-2-2-1-122-1-1-1-1-1-100220110011-211110020-20-1-100-1-101100000000
χ292222-1222-122-12-1-122-1-1-12-12-1000022222222-1-1-1-1-1-122-1-1-1-12200200-1-100-1-1-1-1-100020200-1-100-100-1-1000-100
χ302222-1222-122-12-1-122-1-1-12-12-1000022-2-222-2-2-1-1-1-111-2-211112200200-1-1001-1-111000-20-200-1-100-10011000100
χ312222-1222-122-12-1-122-1-1-12-12-10000-2-2222222-1-1-1-1-1-122-1-1-1-1-2-200-2001100-1-1-1-1-1000-20-200110010011000100
χ322222-1222-122-12-1-122-1-1-12-12-10000-2-2-2-222-2-2-1-1-1-111-2-21111-2-200-20011001-1-111000202001100100-1-1000-100
χ332222-1222-122-12-1-1-2-2-1-1-12-12-10000222-2-2-22211-1-111-2-21111-2-200200-1-100-111-1-100020-2001100-10011000-100
χ342222-1222-122-12-1-1-2-2-1-1-12-12-1000022-22-2-2-2-211-1-1-1-122-1-1-1-1-2-200200-1-10011111000-202001100-100-1-1000100
χ352222-1222-122-12-1-1-2-2-1-1-12-12-10000-2-22-2-2-22211-1-111-2-211112200-2001100-111-1-1000-20200-1-100100-1-1000100
χ362222-1222-122-12-1-1-2-2-1-1-12-12-10000-2-2-22-2-2-2-211-1-1-1-122-1-1-1-12200-20011001111100020-200-1-10010011000-100
χ3722-2-2222-2-22-22-2-2200-22-222-2-22-22-200000000002-2000000002-20002-2002-200000000000002-200000002-20000
χ3822-2-2222-2-22-22-2-2200-22-222-2-22-22-200000000002-200000000-220002-2002-20000000000000-220000000-220000
χ3922-2-2222-2-22-22-2-2200-22-222-2-2-22-2200000000002-2000000002-2000-2200-2200000000000002-20000000-220000
χ4022-2-2222-2-22-22-2-2200-22-222-2-2-22-2200000000002-200000000-22000-2200-220000000000000-2200000002-20000
χ4122-2-222-22-22-22-2-222i−2i-22-2-2-2222-2-2200002i−2i002i−2i-2200000000002i−2i02-200-2202i−2i000000002i−2i000000000000000
χ4222-2-222-22-22-22-2-222i−2i-22-2-2-222-222-200002i−2i002i−2i-220000000000−2i2i0-22002-202i−2i00000000−2i2i000000000000000
χ4322-2-222-22-22-22-2-22−2i2i-22-2-2-2222-2-220000−2i2i00−2i2i-220000000000−2i2i02-200-220−2i2i00000000−2i2i000000000000000
χ4422-2-222-22-22-22-2-22−2i2i-22-2-2-222-222-20000−2i2i00−2i2i-2200000000002i−2i0-22002-20−2i2i000000002i−2i000000000000000
χ4522-2-22-1-22-2-1121-2-12i−2i1-111-2-122-2-220000−ii3−32i−2i1-100−i3i3−i3−i3i3i3002i−2i0-11001-10−ii3−3000000−ii003−30−i3i300000000
χ4622-2-22-1-22-2-1121-2-12i−2i1-111-2-122-2-220000−ii−332i−2i1-100i3−i3i3i3−i3−i3002i−2i0-11001-10−ii−33000000−ii00−330i3−i300000000
χ4722-2-22-1-22-2-1121-2-12i−2i1-111-2-12-222-20000−ii3−32i−2i1-100−i3i3−i3−i3i3i300−2i2i01-100-110−ii3−3000000i−i00−330i3−i300000000
χ4822-2-22-1-22-2-1121-2-12i−2i1-111-2-12-222-20000−ii−332i−2i1-100i3−i3i3i3−i3−i300−2i2i01-100-110−ii−33000000i−i003−30−i3i300000000
χ4922-2-22-1-22-2-1121-2-1−2i2i1-111-2-122-2-220000i−i3−3−2i2i1-100i3−i3i3i3−i3−i300−2i2i0-11001-10i−i3−3000000i−i003−30i3−i300000000
χ5022-2-22-1-22-2-1121-2-1−2i2i1-111-2-122-2-220000i−i−33−2i2i1-100−i3i3−i3−i3i3i300−2i2i0-11001-10i−i−33000000i−i00−330−i3i300000000
χ5122-2-22-1-22-2-1121-2-1−2i2i1-111-2-12-222-20000i−i3−3−2i2i1-100i3−i3i3i3−i3−i3002i−2i01-100-110i−i3−3000000−ii00−330−i3i300000000
χ5222-2-22-1-22-2-1121-2-1−2i2i1-111-2-12-222-20000i−i−33−2i2i1-100−i3i3−i3−i3i3i3002i−2i01-100-110i−i−33000000−ii003−30i3−i300000000
χ5344444-2-4-44-2-24-24-200-2-2-22-42-444-4-40000000000220000000000000-2-200220000000000000000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-22-42-4-4-44400000000002200000000000002200-2-20000000000000000000000000000
χ554444-24-4-4-244-24-2-200-2-2-2-42-420000440000000022000000000000-400-2-2000000000000000000020000000000
χ564444-24-4-4-244-24-2-200-2-2-2-42-420000-4-40000000022000000000000400220000000000000000000-20000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-222-2-2112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-422-2-222112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-44-24-4-4-2242-4-2002-22-242-44-44-40000000000-220000000000000-2200-220000000000000000000000000000
χ6244-4-44-24-4-4-2242-4-2002-22-242-4-44-440000000000-2200000000000002-2002-20000000000000000000000000000
χ6344-4-4-244-424-4-2-42-2002-224-2-4200000000000000-22000000004-40000000000000000000000-220000000000000
χ6444-4-4-244-424-4-2-42-2002-224-2-4200000000000000-2200000000-4400000000000000000000002-20000000000000
χ6544-4-4-24-4424-4-2-42-24i−4i2-22-424-2000000004i−4i00−2i2i2-200000000000000000000−2i2i0000000000000000000000000
χ6644-4-4-24-4424-4-2-42-2−4i4i2-22-424-200000000−4i4i002i−2i2-2000000000000000000002i−2i0000000000000000000000000
χ6744-4-4-2-2-442-22-22214i−4i-11-122-2-200000000−2i2i23−23−2i2i-1100−2i32i3i3i3−i3−i3000000000000i−i−3300000000000000000000000
χ6844-4-4-2-2-442-22-22214i−4i-11-122-2-200000000−2i2i−2323−2i2i-11002i3−2i3−i3−i3i3i3000000000000i−i3−300000000000000000000000
χ6944-4-4-2-2-442-22-2221−4i4i-11-122-2-2000000002i−2i23−232i−2i-11002i3−2i3−i3−i3i3i3000000000000−ii−3300000000000000000000000
χ7044-4-4-2-2-442-22-2221−4i4i-11-122-2-2000000002i−2i−23232i−2i-1100−2i32i3i3i3−i3−i3000000000000−ii3−300000000000000000000000
χ714-44-444004-44-4-4-44004-4-4000000004-400000000000000000000000004-4000000000000000000000000000000
χ724-44-444004-44-4-4-44004-4-400000000-440000000000000000000000000-44000000000000000000000000000000
χ734-44-4-2400-2-442-42-200-222000000004-40000000000i6−i600i6−i6i6−i60000000-220000000000000000000000i6−i6000000
χ744-44-4-2400-2-442-42-200-222000000004-40000000000−i6i600−i6i6−i6i60000000-220000000000000000000000−i6i6000000
χ754-44-4-2400-2-442-42-200-22200000000-440000000000i6−i600i6−i6i6−i600000002-20000000000000000000000−i6i6000000
χ764-44-4-2400-2-442-42-200-22200000000-440000000000−i6i600−i6i6−i6i600000002-20000000000000000000000i6−i6000000
χ774-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000000000004-4000000000000000000000
χ784-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000000000000-44000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-48-84-44-444200-22-2-4-444000000000000002-200000000000000000000000000000000000000000000000
χ818-88-88-40084-4-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-44-44442002-2-2000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ838-88-8-4-400-44-44442002-2-200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ848-8-888-400-844-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-8-848-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-2-2200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-2-22000000000000000000000000−323232−32000000000000000000000000000000000000000

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