Finite Group Databasebeta

← Group #11889776

Character table — Group #11889776

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order12223344666666344666121212124812121212121212122424242424242424222444668888121212121212121212222446612121212122424242446448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-111-1-1-111-1-1111111111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11-1-1111-1-111-1-1-1-111111-1-111-1-1-11-1-111-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-111-1-1-1-1-11-1111-1-11111-1-1-1-1-111
χ6111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-1-1-1-11111111-1-1
χ7111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-111-111-1-111111-1-1-1-11-11-1-1
χ8111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1-1-1-11-11-1-1-111-1-1-1-111-11-111
χ9111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111111-1-1111-1-1-1-1-1-1-1-111-11-1
χ10111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111111-1-111-1-1-11-111-1-1-111-1-111-1-11-11
χ11111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-111-1-11-11-1-1111-1-111-1-1-111-11
χ12111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-111-1-1-1111111111-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-11111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1
χ14111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-111-1-11
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-222000022-2-2000002200000-200000000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-22-2220000-2-22200000-2-200000-20000000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-22-22-2-2000022-2-200000-2-20000020000000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-222-2-20000-2-222000002200000200000000-20000
χ2122222-122-12-122-1-122-1-1-1-12-12222222-1-1-1-122-1-1-1-1-1-1002002-1-100220000-1-1-1-1-10022000-100-1-100-1-10-1000
χ2222222-122-12-122-1-122-1-1-1-12-12222222-1-1-1-122-1-1-1-1-1-100-200-21100-2-20000-1-1-1-1-100-2-200010011001101000
χ2322222-122-12-122-1-122-1-1-1-12-12-2-222-2-2-1-1-1-1-2-2111111002002-1-100-2-200001-1-11100-22000-100-1-1001101000
χ2422222-122-12-122-1-122-1-1-1-12-12-2-222-2-2-1-1-1-1-2-211111100-200-211002200001-1-111002-20001001100-1-10-1000
χ2522222-122-12-122-1-1-2-2-1-1-1-12-122-2-2-22211-1-1-2-2111111002002-1-100-2-20000-111-1-1002-2000-1001100110-1000
χ2622222-122-12-122-1-1-2-2-1-1-1-12-122-2-2-22211-1-1-2-211111100-200-21100220000-111-1-100-22000100-1-100-1-101000
χ2722222-122-12-122-1-1-2-2-1-1-1-12-12-22-2-2-2-211-1-122-1-1-1-1-1-1002002-1-1002200001111100-2-2000-1001100-1-101000
χ2822222-122-12-122-1-1-2-2-1-1-1-12-12-22-2-2-2-211-1-122-1-1-1-1-1-100-200-21100-2-20000111110022000100-1-100110-1000
χ292222-12222-12-1-12-122-1-1-12-12-122-1-1-1-122-1-1-1-122-1-1-1-1220220002200-1-1-1-12-1-1-1-100002-1-10-1-100-1-10000000
χ302222-12222-12-1-12-122-1-1-12-12-122-1-1-1-122-1-1-1-122-1-1-1-1-2-20-2-2000-2-20011112-1-1-1-10000-21101100110000000
χ312222-12222-12-1-12-122-1-1-12-12-1-2-2-1-11122-1-111-2-21111220-2-200022001111-2-1-1110000-2-1-101100-1-10000000
χ322222-12222-12-1-12-122-1-1-12-12-1-2-2-1-11122-1-111-2-21111-2-2022000-2-200-1-1-1-1-2-1-11100002110-1-100110000000
χ332222-12222-12-1-12-1-2-2-1-1-12-12-12-211-1-1-2-2-1-111-2-2111122022000-2-200-1-1-1-1211-1-10000-2-1-101100110000000
χ342222-12222-12-1-12-1-2-2-1-1-12-12-12-211-1-1-2-2-1-111-2-21111-2-20-2-200022001111211-1-100002110-1-100-1-10000000
χ352222-12222-12-1-12-1-2-2-1-1-12-12-1-221111-2-2-1-1-1-122-1-1-1-1220-2-2000-2-2001111-2111100002-1-10-1-100110000000
χ362222-12222-12-1-12-1-2-2-1-1-12-12-1-221111-2-2-1-1-1-122-1-1-1-1-2-20220002200-1-1-1-1-211110000-21101100-1-10000000
χ372-2-22222-2-2-222-2-222i−2i-22-222-2-2002i−2i002i−2i-22000000002-20000002i−2i00000002i−2i00000002-2000002i−2i0000000
χ382-2-22222-2-2-222-2-222i−2i-22-222-2-2002i−2i002i−2i-2200000000-22000000−2i2i00000002i−2i0000000-2200000−2i2i0000000
χ392-2-22222-2-2-222-2-22−2i2i-22-222-2-200−2i2i00−2i2i-22000000002-2000000−2i2i0000000−2i2i00000002-200000−2i2i0000000
χ402-2-22222-2-2-222-2-22−2i2i-22-222-2-200−2i2i00−2i2i-2200000000-220000002i−2i0000000−2i2i0000000-22000002i−2i0000000
χ412-2-22-122-2-212-11-2-12i−2i1-112-1-2100−ii3−32i−2i1-1−i3i300−i3−i3i3i32-20000002i−2i003−33−30−ii3−300000-110−i3i300−ii0000000
χ422-2-22-122-2-212-11-2-12i−2i1-112-1-2100−ii3−32i−2i1-1−i3i300−i3−i3i3i3-22000000−2i2i00−33−330−ii3−3000001-10i3−i300i−i0000000
χ432-2-22-122-2-212-11-2-12i−2i1-112-1-2100−ii−332i−2i1-1i3−i300i3i3−i3−i32-20000002i−2i00−33−330−ii−3300000-110i3−i300−ii0000000
χ442-2-22-122-2-212-11-2-12i−2i1-112-1-2100−ii−332i−2i1-1i3−i300i3i3−i3−i3-22000000−2i2i003−33−30−ii−33000001-10−i3i300i−i0000000
χ452-2-22-122-2-212-11-2-1−2i2i1-112-1-2100i−i3−3−2i2i1-1i3−i300i3i3−i3−i32-2000000−2i2i003−33−30i−i3−300000-110i3−i300i−i0000000
χ462-2-22-122-2-212-11-2-1−2i2i1-112-1-2100i−i3−3−2i2i1-1i3−i300i3i3−i3−i3-220000002i−2i00−33−330i−i3−3000001-10−i3i300−ii0000000
χ472-2-22-122-2-212-11-2-1−2i2i1-112-1-2100i−i−33−2i2i1-1−i3i300−i3−i3i3i32-2000000−2i2i00−33−330i−i−3300000-110−i3i300i−i0000000
χ482-2-22-122-2-212-11-2-1−2i2i1-112-1-2100i−i−33−2i2i1-1−i3i300−i3−i3i3i3-220000002i−2i003−33−30i−i−33000001-10i3−i300−ii0000000
χ4944444-2-4-4-24-244-2-200-2-2-22-42-400000000220000000000400-4-2-20000000000000000000020000000000000
χ5044444-2-4-4-24-244-2-200-2-2-22-42-400000000220000000000-40042200000000000000000000-20000000000000
χ514444-24-4-44-24-2-24-200-2-2-2-42-420000000022000000000004-40000000-2-22200000000000000000000000000
χ524444-24-4-44-24-2-24-200-2-2-2-42-42000000002200000000000-44000000022-2-200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-222-2-2112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-422-2-222112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-4440044-4-4-4-44004-4-400000000000000000000000000000000000000000004-40000000000000000000
χ5844-4-4440044-4-4-4-44004-4-40000000000000000000000000000000000000000000-440000000000000000000
χ594-44-44400-4-4-4-444400-4-440000000000000000000000000000000022−220000000000000000000000022−2200000
χ604-44-44400-4-4-4-444400-4-4400000000000000000000000000000000−222200000000000000000000000−222200000
χ614-44-44-2002-42-44-2-20022-20000000000000000i6−i6i6−i6i6−i6000000−2i32i30022−2200000000000000000000000−2200000
χ624-44-44-2002-42-44-2-20022-20000000000000000i6−i6i6−i6i6−i60000002i3−2i300−2222000000000000000000000002−200000
χ634-44-44-2002-42-44-2-20022-20000000000000000−i6i6−i6i6−i6i6000000−2i32i300−2222000000000000000000000002−200000
χ644-44-44-2002-42-44-2-20022-20000000000000000−i6i6−i6i6−i6i60000002i3−2i30022−2200000000000000000000000−2200000
χ654-4-4444-44-4-444-4-4400-44-4-4-444000000004-400000000000000000000000000000000000000000000000000
χ664-4-444-24-42-4-24-42-24i−4i2-22-242-4004i−4i00−2i2i2-20000000000000000000000000−2i2i00000000000000000000000
χ674-4-444-24-42-4-24-42-2−4i4i2-22-242-400−4i4i002i−2i2-200000000000000000000000002i−2i00000000000000000000000
χ684-4-444-2-442-4-24-42-2002-222-4-2400000000-2200000000000000000000000000000000000000023−23000000000
χ694-4-444-2-442-4-24-42-2002-222-4-2400000000-22000000000000000000000000000000000000000−2323000000000
χ704-4-44-24-44-424-22-4-2002-22-424-200000000-220000000000000000000023−23−232300000000000000000000000000
χ714-4-44-24-44-424-22-4-2002-22-424-200000000-2200000000000000000000−232323−2300000000000000000000000000
χ724-4-44-2-24-422-2-22214i−4i-11-1-2-22200−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i300000000000000000i−i−33000000000000000000000
χ734-4-44-2-24-422-2-22214i−4i-11-1-2-22200−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i300000000000000000i−i3−3000000000000000000000
χ744-4-44-2-24-422-2-2221−4i4i-11-1-2-222002i−2i23−232i−2i-112i3−2i300−i3−i3i3i300000000000000000−ii−33000000000000000000000
χ754-4-44-2-24-422-2-2221−4i4i-11-1-2-222002i−2i−23232i−2i-11−2i32i300i3i3−i3−i300000000000000000−ii3−3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444442002-2-200000000000000000032−32−3232000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-444442002-2-2000000000000000000−323232−32000000000000000000000000000000000000000000
χ818-88-8-4800-84-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004444-4-4200-2-2200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000000
χ838-88-8-4-4004444-4-4200-2-220000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-4-444200-22-244-4-4000000002-200000000000000000000000000000000000000000000000000

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