Finite Group Databasebeta

← Group #11895970

Character table — Group #11895970

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order122233444466666612121212344466612121212121212121212121241212121212121212121212121212121212121212124488882424242424242424222668812122424242444446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1
χ6111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111
χ7111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-11-1-1-11-11111-1-11-11-11-11-1
χ10111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-1111-1-111-11-11-11-11
χ11111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1111-1-1-111-1-1-11-111-1-11
χ12111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1111-11-1-1-1-1111-11-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-1-1111-1-1111-11-11-1-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11-1-11-11111-1-1-11-11-111-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-111-11-1-1-1-111-11-111-11-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11111-1-1-111-1-11-11-1-11-11
χ1722222222-2-22222222222200-222222-2-2-22222-2-2-20-200000000-2-2-2-20000000000000000000000000000000000022-2-20000
χ1822222222-2-22222222222200-222222-2-2-22222-2-2-20-200000000-2-2-2-200000000000000000000000000000000000-2-2220000
χ19222222-2-2-2-2222222-2-2-2-22002222-2-2-222-2-2-2-2-2-2-20200000000-2-222000000000000000000000000000000000002-2-220000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-2-222-2-2-2-2-2-2-20200000000-2-22200000000000000000000000000000000000-222-20000
χ2122222-12222-122-1-122222-1222-1-1-1-1-1-122-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000022002200-1-1-1-10000-1-100
χ2222222-12222-122-1-122222-1222-1-1-1-1-1-122-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-200-2-200111100001100
χ2322222-12222-122-1-122222-1-2-22-1-1-1-1-1-122-1-1-1-122-1-2-1-2-211-2-211-1-1-1-1111111110000000000000002200-2-20011110000-1-100
χ2422222-12222-122-1-122222-1-2-22-1-1-1-1-1-122-1-1-1-122-1-2-1-2-211-2-211-1-1-1-111111111000000000000000-2-2002200-1-1-1-100001100
χ2522222-1-2-222-122-1-12-2-2-2-2-122-2-1-1-111-1-2-2111122-1-2122-1-1-2-211-1-111-1-1-1-111110000000000000002-2002-200-1-1110000-1100
χ2622222-1-2-222-122-1-12-2-2-2-2-122-2-1-1-111-1-2-2111122-1-2122-1-1-2-211-1-111-1-1-1-11111000000000000000-2200-220011-1-100001-100
χ2722222-1-2-222-122-1-12-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-121-2-21122-1-1-1-1111111-1-1-1-10000000000000002-200-220011-1-10000-1100
χ2822222-1-2-222-122-1-12-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-121-2-21122-1-1-1-1111111-1-1-1-1000000000000000-22002-200-1-11100001-100
χ292222-1222222-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1200-1-100-1-1000000000000
χ302222-1222222-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-200110011000000000000
χ312222-1222222-1-122-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-1-12-2211-2-211-2-2-1-1-1-11111111122-2-2-2-211111111200-1-100-1-1000000000000
χ322222-1222222-1-122-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-1-12-2211-2-211-2-2-1-1-1-111111111-2-22222-1-1-1-1-1-1-1-1-200110011000000000000
χ332222-12-2-2222-1-122-11111-122-2-1-1-1-2-22111111-1-12-2-2-1-12211-2-2-1-111-1-1-1-111112222-2-2-1-1-1-11111-2001100-1-1000000000000
χ342222-12-2-2222-1-122-11111-122-2-1-1-1-2-22111111-1-12-2-2-1-12211-2-2-1-111-1-1-1-11111-2-2-2-2221111-1-1-1-1200-1-10011000000000000
χ352222-12-2-2222-1-122-11111-1-2-2-2-1-1-1-2-22111111-1-122-211-2-2-1-122-1-1111111-1-1-1-122-2-2221111-1-1-1-1-2001100-1-1000000000000
χ362222-12-2-2222-1-122-11111-1-2-2-2-1-1-1-2-22111111-1-122-211-2-2-1-122-1-1111111-1-1-1-1-2-222-2-2-1-1-1-11111200-1-10011000000000000
χ3722-2-22200-22-22-22-2-2000022-20-22-200-20000002-22002-22-200002-20022-2-200002i−2i2i−2i002i2i−2i−2i000000000002i−2i000000000000
χ3822-2-22200-22-22-22-2-2000022-20-22-200-20000002-22002-22-200002-20022-2-20000−2i2i−2i2i00−2i−2i2i2i00000000000−2i2i000000000000
χ3922-2-22200-22-22-22-2-200002-220-22-200-20000002-2200-22-2200002-200-2-22200002i−2i−2i2i00−2i−2i2i2i000000000002i−2i000000000000
χ4022-2-22200-22-22-22-2-200002-220-22-200-20000002-2200-22-2200002-200-2-2220000−2i2i2i−2i002i2i−2i−2i00000000000−2i2i000000000000
χ4122-2-2-1200-22-2-112-2133−3−3-12-201-1100-23−333−3−3-11200-112-23−300-113−3-1-11133−3−32i−2i2i−2i00−i−iii−i3−i3i3i3000−i3i300−ii000000000000
χ4222-2-2-1200-22-2-112-2133−3−3-12-201-1100-23−333−3−3-11200-112-23−300-113−3-1-11133−3−3−2i2i−2i2i00ii−i−ii3i3−i3−i3000i3−i300i−i000000000000
χ4322-2-2-1200-22-2-112-2133−3−3-1-2201-1100-23−333−3−3-112001-1-22−3300-113−311-1-1−3−3332i−2i−2i2i00ii−i−ii3i3−i3−i3000−i3i300−ii000000000000
χ4422-2-2-1200-22-2-112-2133−3−3-1-2201-1100-23−333−3−3-112001-1-22−3300-113−311-1-1−3−333−2i2i2i−2i00−i−iii−i3−i3i3i3000i3−i300i−i000000000000
χ4522-2-2-1200-22-2-112-21−3−333-12-201-1100-2−33−3−333-11200-112-2−3300-11−33-1-111−3−3332i−2i2i−2i00−i−iiii3i3−i3−i3000i3−i300−ii000000000000
χ4622-2-2-1200-22-2-112-21−3−333-12-201-1100-2−33−3−333-11200-112-2−3300-11−33-1-111−3−333−2i2i−2i2i00ii−i−i−i3−i3i3i3000−i3i300i−i000000000000
χ4722-2-2-1200-22-2-112-21−3−333-1-2201-1100-2−33−3−333-112001-1-223−300-11−3311-1-133−3−32i−2i−2i2i00ii−i−i−i3−i3i3i3000i3−i300−ii000000000000
χ4822-2-2-1200-22-2-112-21−3−333-1-2201-1100-2−33−3−333-112001-1-223−300-11−3311-1-133−3−3−2i2i2i−2i00−i−iiii3i3−i3−i3000−i3i300i−i000000000000
χ4944444-244-4-4-244-2-244444-200-4-2-2-2-2-22-4-4-2-2-2-2-4-42020000000022220000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-244-2-24-4-4-4-4-2004-2-2-2222442222-4-420-20000000022-2-20000000000000000000000000000000000000000000
χ514444-2444-4-44-2-244-2-2-2-2-2-200-4-2-2-244-422-2-2-2-222-40-40000000022220000000000000000000000000000000000000000000
χ524444-24-4-4-4-44-2-244-22222-2004-2-2-2-4-4-4-2-2222222-4040000000022-2-20000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-2-4-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-222211112220200000000-1-1-1-13-33-33-33-300000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-222211112220200000000-1-1-1-1-33-33-33-3300000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-22222144-411122-222-1-1-1-1-2-2-2-42-2-2-2-2222211-1-11111-1-1-1-100000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-222221-4-4-411122-222-1-1-1-1-2-2-2422222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-222221004111222-2-2-1-1-1-12220-200000000-1-1113-33-3-33-3300000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-222221004111222-2-2-1-1-1-12220-200000000-1-111-33-333-33-300000000000000000000000000000000000
χ6144-4-444004-4-44-44-4-400004000-44-4004000000-44-40000000000-44000000000000000000000000000000000000000000000
χ6244-4-44-2004-424-4-22-40000-20002-2200-2000000-4420000000023−232-200000023−23−232300000000000000000000000000000000000
χ6344-4-44-2004-424-4-22-40000-20002-2200-2000000-44200000000−23232-2000000−232323−2300000000000000000000000000000000000
χ6444-4-44-200-4424-4-22-40000-24-402-220020000004-4-2004-4-220000-2200-2-222000000000000000000000000000000000000000
χ6544-4-44-200-4424-4-22-40000-2-4402-220020000004-4-200-442-20000-220022-2-2000000000000000000000000000000000000000
χ6644-4-4-24004-4-4-224-422323−23−23-20002-22004−23232323−23−232-2-400000000002-2−23230000000000000000000000000000000000000000000
χ6744-4-4-24004-4-4-224-42−23−232323-20002-2200423−23−23−2323232-2-400000000002-223−230000000000000000000000000000000000000000000
χ6844-4-4-2-2004-42-22-2222323−23−231000-11-100-2−2323−3−3332-220000000023−23-113−3-333-3−333−300000000000000000000000000000000000
χ6944-4-4-2-2004-42-22-2222323−23−231000-11-100-2−2323−3−3332-2200000000−2323-113−33-3-333−3−3300000000000000000000000000000000000
χ7044-4-4-2-2004-42-22-222−23−2323231000-11-100-223−2333−3−32-220000000023−23-11−333-3-33−333−300000000000000000000000000000000000
χ7144-4-4-2-2004-42-22-222−23−2323231000-11-100-223−2333−3−32-2200000000−2323-11−33-333-33−3−3300000000000000000000000000000000000
χ7244-4-4-2-200-442-22-2222323−23−2314-40-11-100223−23−3−333-22-200-22-2223−23001-1−3311-1-1−3−33300000000000000000000000000000000000
χ7344-4-4-2-200-442-22-2222323−23−231-440-11-100223−23−3−333-22-2002-22-2−2323001-1−33-1-11133−3−300000000000000000000000000000000000
χ7444-4-4-2-200-442-22-222−23−23232314-40-11-1002−232333−3−3-22-200-22-22−2323001-13−311-1-133−3−300000000000000000000000000000000000
χ7544-4-4-2-200-442-22-222−23−2323231-440-11-1002−232333−3−3-22-2002-22-223−23001-13−3-1-111−3−33300000000000000000000000000000000000
χ764-44-4440000-4-44-44-400004000-4-4400000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i2000000000000000000000
χ774-44-4440000-4-44-44-400004000-4-44000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i2000000000000000000000
χ784-44-4-240000-42-2-44223−2323−23-200022-20000023−2323−2300000000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i2000000000000000000000
χ794-44-4-240000-42-2-44223−2323−23-200022-20000023−2323−23000000000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i2000000000000000000000
χ804-44-4-240000-42-2-442−2323−2323-200022-200000−2323−232300000000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i2000000000000000000000
χ814-44-4-240000-42-2-442−2323−2323-200022-200000−2323−2323000000000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i2000000000000000000000
χ824-4-44444-4004-4-4-4-444-4-4440004-4-44-40004-4-44000000000000000000000000000000000000000000000000000000000000
χ834-4-4444-44004-4-4-4-44-444-440004-4-4-44000-444-4000000000000000000000000000000000000000000000000000000000000
χ844-4-444-24-400-2-4-42244-4-44-2000-222-22000-222-20000000000000000000000000000000000000000000000006−66−600000000
χ854-4-444-24-400-2-4-42244-4-44-2000-222-22000-222-2000000000000000000000000000000000000000000000000−66−6600000000
χ864-4-444-2-4400-2-4-4224-444-4-2000-2222-20002-2-220000000000000000000000000000000000000000000000006−6−6600000000
χ874-4-444-2-4400-2-4-4224-444-4-2000-2222-20002-2-22000000000000000000000000000000000000000000000000−666−600000000
χ884-4-44-244-400422-4-4-2-222-2-2000-2224-4000-222-200000000000000000000000000000006−6−66−666−6000000000000000000000
χ894-4-44-244-400422-4-4-2-222-2-2000-2224-4000-222-20000000000000000000000000000000−666−66−6−66000000000000000000000
χ904-4-44-24-4400422-4-4-22-2-22-2000-222-440002-2-2200000000000000000000000000000006−6−666−6−66000000000000000000000
χ914-4-44-24-4400422-4-4-22-2-22-2000-222-440002-2-220000000000000000000000000000000−666−6−666−6000000000000000000000
χ928-88-88-400004-884-4-80000-400044-4000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4000044-44-4443−4343−432000-2-2200000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4000044-44-44−4343−43432000-2-220000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-800-44444-4-444-420002-2-2-440002-2-22000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-8800-44444-44-4-4420002-2-24-4000-222-2000000000000000000000000000000000000000000000000000000000000

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