Finite Group Databasebeta

← Group #11896060

Character table — Group #11896060

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order122233446666663446661212121248121212121212121224242424242424244444448888121212121212121212121244244121212121212122424242446448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-111-1-1-1-1111111111-1-1-11-11111-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-11-11-1-11111-1-1-1-111111-1-11-11-1-1-1-1111-1-111-11-1-1-1
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
χ5111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-11-1111-1-111-1-1-1-1-111-1-1-1-1-1-1111-1-111111-1-1-1-11-11
χ6111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-1111111-11-1
χ7111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-111-111-1-111111-1-1-1-11-1-11-1
χ8111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-111-1-1-1-111-1-1-111-1-1-1-1-111-111-11
χ9111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-111111-1-111-1-11-1-1-1-1-1-1111-1-1
χ10111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-111-1-111111-1-111-1-1-1-1111-1-1-111-1-111-1-1-111
χ11111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-11-1-111-1-111-1-1-1111-1-111-1-1-11-111
χ12111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111-111-1-111-11111111-11-1-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-111-1
χ14111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-11
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-11-11-111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-200002222-2-200000220000000-2000000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-2-220000-2-222-2-200000-2-20000000200000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-222-2000022-2-22200000-2-20000000-200000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-2220000-2-2-2-222000002200000002000000-20000
χ2122222-122-12-122-1-122-1-1-1-122-12222-1-122-1-122-1-1-1-1-1-10002020022-1-10000-1-1-1-1-1002020000-1-1-100-1-10-1000
χ2222222-122-12-122-1-122-1-1-1-122-12222-1-122-1-122-1-1-1-1-1-1000-20-200-2-2110000-1-1-1-1-100-20-20000111001101000
χ2322222-122-12-122-1-122-1-1-1-122-1-2-222-1-1-2-2-1-1-2-211111100020200-2-2-1-100001-1-11100-2020000-1-1-1001101000
χ2422222-122-12-122-1-122-1-1-1-122-1-2-222-1-1-2-2-1-1-2-2111111000-20-200221100001-1-1110020-2000011100-1-10-1000
χ2522222-122-12-122-1-1-2-2-1-1-1-122-12-2-2-21122-1-1-2-211111100020200-2-2-1-10000-111-1-10020-20000-11100110-1000
χ2622222-122-12-122-1-1-2-2-1-1-1-122-12-2-2-21122-1-1-2-2111111000-20-20022110000-111-1-100-20200001-1-100-1-101000
χ2722222-122-12-122-1-1-2-2-1-1-1-122-1-22-2-211-2-2-1-122-1-1-1-1-1-10002020022-1-100001111100-20-20000-11100-1-101000
χ2822222-122-12-122-1-1-2-2-1-1-1-122-1-22-2-211-2-2-1-122-1-1-1-1-1-1000-20-200-2-2110000111110020200001-1-100110-1000
χ292222-12222-12-1-12-122-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1222020220000-1-1-1-12-1-1-1-100020-1-1-1-1000-1-10000000
χ302222-12222-12-1-12-122-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-2-2-20-20-2-2000011112-1-1-1-1000-201111000110000000
χ312222-12222-12-1-12-122-1-1-12-1-12-2-2-1-12211-1-111-2-2111122-20-202200001111-2-1-111000-20-1-111000-1-10000000
χ322222-12222-12-1-12-122-1-1-12-1-12-2-2-1-12211-1-111-2-21111-2-22020-2-20000-1-1-1-1-2-1-1110002011-1-1000110000000
χ332222-12222-12-1-12-1-2-2-1-1-12-1-122-211-2-2-1-1-1-111-2-21111222020-2-20000-1-1-1-1211-1-1000-20-1-111000110000000
χ342222-12222-12-1-12-1-2-2-1-1-12-1-122-211-2-2-1-1-1-111-2-21111-2-2-20-202200001111211-1-10002011-1-1000-1-10000000
χ352222-12222-12-1-12-1-2-2-1-1-12-1-12-2211-2-211-1-1-1-122-1-1-1-122-20-20-2-200001111-2111100020-1-1-1-1000110000000
χ362222-12222-12-1-12-1-2-2-1-1-12-1-12-2211-2-211-1-1-1-122-1-1-1-1-2-22020220000-1-1-1-1-21111000-201111000-1-10000000
χ372-22-222-22-222-2-2-222-2-2-22-22-22002-22-200-22000000002i−2i00002i−2i0000000002-200000002i−2i000002i−2i0000000
χ382-22-222-22-222-2-2-222-2-2-22-22-22002-22-200-2200000000−2i2i0000−2i2i0000000002-20000000−2i2i00000−2i2i0000000
χ392-22-222-22-222-2-2-22-22-2-22-22-2200-22-2200-22000000002i−2i0000−2i2i000000000-2200000002i−2i00000−2i2i0000000
χ402-22-222-22-222-2-2-22-22-2-22-22-2200-22-2200-2200000000−2i2i00002i−2i000000000-220000000−2i2i000002i−2i0000000
χ412-22-2-12-22-2-1211-2-12-211-1-2-11200-112-2−i3i31-1−i3i300−i3−i3i3i32i−2i00002i−2i00003−33−30-11−i3i300000−ii3−3000−ii0000000
χ422-22-2-12-22-2-1211-2-12-211-1-2-11200-112-2−i3i31-1−i3i300−i3−i3i3i3−2i2i0000−2i2i0000−33−330-11−i3i300000i−i−33000i−i0000000
χ432-22-2-12-22-2-1211-2-12-211-1-2-11200-112-2i3−i31-1i3−i300i3i3−i3−i32i−2i00002i−2i0000−33−330-11i3−i300000−ii−33000−ii0000000
χ442-22-2-12-22-2-1211-2-12-211-1-2-11200-112-2i3−i31-1i3−i300i3i3−i3−i3−2i2i0000−2i2i00003−33−30-11i3−i300000i−i3−3000i−i0000000
χ452-22-2-12-22-2-1211-2-1-2211-1-2-112001-1-22−i3i31-1i3−i300i3i3−i3−i32i−2i0000−2i2i00003−33−301-1−i3i300000−ii−33000i−i0000000
χ462-22-2-12-22-2-1211-2-1-2211-1-2-112001-1-22−i3i31-1i3−i300i3i3−i3−i3−2i2i00002i−2i0000−33−3301-1−i3i300000i−i3−3000−ii0000000
χ472-22-2-12-22-2-1211-2-1-2211-1-2-112001-1-22i3−i31-1−i3i300−i3−i3i3i32i−2i0000−2i2i0000−33−3301-1i3−i300000−ii3−3000i−i0000000
χ482-22-2-12-22-2-1211-2-1-2211-1-2-112001-1-22i3−i31-1−i3i300−i3−i3i3i3−2i2i00002i−2i00003−33−301-1i3−i300000i−i−33000−ii0000000
χ4944444-2-4-4-24-244-2-200-2-2-22-4-4200000000220000000000040-40000-2-2000000000000000000200000000000
χ5044444-2-4-4-24-244-2-200-2-2-22-4-42000000002200000000000-404000022000000000000000000-200000000000
χ514444-24-4-44-24-2-24-200-2-2-2-422-40000000022000000000040-40000000-2-22200000000000000000000000000
χ524444-24-4-44-24-2-24-200-2-2-2-422-400000000220000000000-404000000022-2-200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-222112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222-2-2112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-444004-4-44-4-44004-4-400000000000000000000000000000000000000000004-40000000000000000000
χ5844-4-444004-4-44-4-44004-4-40000000000000000000000000000000000000000000-440000000000000000000
χ594-44-4444-4-444-4-4-4400-4-444-44-4000000004-400000000000000000000000000000000000000000000000000
χ604-44-44-24-424-2-4-42-20022-2-2-44200000000-2200000000000000000000000000000000000000023−23000000000
χ614-44-44-24-424-2-4-42-20022-2-2-44200000000-22000000000000000000000000000000000000000−2323000000000
χ624-44-44-2-4424-2-4-42-24-422-224-4-2004-4-22002-20000000000000000000000000-2200000000000000000000000
χ634-44-44-2-4424-2-4-42-2-4422-224-4-200-442-2002-200000000000000000000000002-200000000000000000000000
χ644-44-4-244-4-4-2422-4-20022-242-2-400000000-220000000000000000000023−23−232300000000000000000000000000
χ654-44-4-244-4-4-2422-4-20022-242-2-400000000-2200000000000000000000−232323−2300000000000000000000000000
χ664-44-4-2-2-442-2-222214-4-1-112-22-200-22-22−2i32i3-11−2i32i300i3i3−i3−i3000000000000000001-1i3−i3000000000000000000000
χ674-44-4-2-2-442-2-222214-4-1-112-22-200-22-222i3−2i3-112i3−2i300−i3−i3i3i3000000000000000001-1−i3i3000000000000000000000
χ684-44-4-2-2-442-2-22221-44-1-112-22-2002-22-2−2i32i3-112i3−2i300−i3−i3i3i300000000000000000-11i3−i3000000000000000000000
χ694-44-4-2-2-442-2-22221-44-1-112-22-2002-22-22i3−2i3-11−2i32i300i3i3−i3−i300000000000000000-11−i3i3000000000000000000000
χ704-4-444400-4-4-4-444400-44-4000000000000000000000000000000−2i22i20000000000000000000000000−2i22i200000
χ714-4-444400-4-4-4-444400-44-40000000000000000000000000000002i2−2i200000000000000000000000002i2−2i200000
χ724-4-444-2002-42-44-2-2002-220000000000000000i6−i6i6−i6i6−i600000000−2i22i223−2300000000000000000000000i2−i200000
χ734-4-444-2002-42-44-2-2002-220000000000000000i6−i6i6−i6i6−i6000000002i2−2i2−232300000000000000000000000−i2i200000
χ744-4-444-2002-42-44-2-2002-220000000000000000−i6i6−i6i6−i6i600000000−2i22i2−232300000000000000000000000i2−i200000
χ754-4-444-2002-42-44-2-2002-220000000000000000−i6i6−i6i6−i6i6000000002i2−2i223−2300000000000000000000000−i2i200000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-4-848-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-480084-8-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-200000000000000000032−32−3232000000000000000000000000000000000000000000
χ8088-8-8-4-400-444-4442002-2-2000000000000000000−323232−32000000000000000000000000000000000000000000
χ818-88-8-4-48-84-4-4444200-2-22-44-44000000002-200000000000000000000000000000000000000000000000000
χ828-8-88-4800-84-84-48-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-22-200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-22-20000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000000

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