Finite Group Databasebeta

← Group #11896071

Character table — Group #11896071

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order12223344446666661212121234446661212121212121212121212124121212121212121212121212121212121212121212448888242424242424242424466881212242424244444121244
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
χ9111111-1-111111111-1-1-1-1111-1111-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-11-1-1-11-11111-1-11-11-11-11-1
χ10111111-1-111111111-1-1-1-1111-1111-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-1111-1-111-11-11-11-11
χ11111111-1-111111111-1-1-1-1111-1111-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1111-1-1-111-1-1-11-111-1-11
χ12111111-1-111111111-1-1-1-1111-1111-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1111-11-1-1-1-1111-11-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111-1-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-1-1111-1-1111-11-11-1-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111-1-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11-1-11-11111-1-1-11-11-111-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-111-11-1-1-1-111-11-111-11-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11111-1-1-111-1-11-11-1-11-11
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
χ19222222-2-2-2-2222222-2-2-2-22002222-2-222-2-2-2-2-2-2-2-20200000000-2-222000000000000000000000000000000000002-2-220000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-222-2-2-2-2-2-2-2-20200000000-2-22200000000000000000000000000000000000-222-20000
χ2122222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1200-1-100-1-1000000000000
χ2222222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-200110011000000000000
χ2322222-1222222-1-1-12-1-1-1-1-1-2-22-1-1-122-1-12-1-1-1-1-1-12-2211-2-211-2-2-1-1-1-11111111122-2-2-2-211111111200-1-100-1-1000000000000
χ2422222-1222222-1-1-12-1-1-1-1-1-2-22-1-1-122-1-12-1-1-1-1-1-12-2211-2-211-2-2-1-1-1-111111111-2-22222-1-1-1-1-1-1-1-1-200110011000000000000
χ2522222-1-2-22222-1-1-121111-122-2-1-1-1-2-21121111-1-12-2-2-1-1-2-21122-1-111-1-1-1-111112222-2-2-1-1-1-11111-2001100-1-1000000000000
χ2622222-1-2-22222-1-1-121111-122-2-1-1-1-2-21121111-1-12-2-2-1-1-2-21122-1-111-1-1-1-11111-2-2-2-2221111-1-1-1-1200-1-10011000000000000
χ2722222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21121111-1-122-21122-1-1-2-2-1-1111111-1-1-1-122-2-2221111-1-1-1-1-2001100-1-1000000000000
χ2822222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21121111-1-122-21122-1-1-2-2-1-1111111-1-1-1-1-2-222-2-2-1-1-1-11111200-1-10011000000000000
χ292222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000022002200-1-1-1-10000-1-100
χ302222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-200-2-200111100001100
χ312222-122222-1-1222-12222-1-2-22-1-1-1-1-122-1-1-1-1-122-1-2-1-2-211-2-211-1-1-1-1111111110000000000000002200-2-20011110000-1-100
χ322222-122222-1-1222-12222-1-2-22-1-1-1-1-122-1-1-1-1-122-1-2-1-2-211-2-211-1-1-1-111111111000000000000000-2-2002200-1-1-1-100001100
χ332222-12-2-222-1-1222-1-2-2-2-2-122-2-1-1-111-2-2-1111122-1-212211-2-2-1-1-1-111-1-1-1-111110000000000000002-2002-200-1-1110000-1100
χ342222-12-2-222-1-1222-1-2-2-2-2-122-2-1-1-111-2-2-1111122-1-212211-2-2-1-1-1-111-1-1-1-11111000000000000000-2200-220011-1-100001-100
χ352222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1111122-121-2-2-1-12211-1-1111111-1-1-1-10000000000000002-200-220011-1-10000-1100
χ362222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1111122-121-2-2-1-12211-1-1111111-1-1-1-1000000000000000-22002-200-1-11100001-100
χ3722-2-22200-22-2-22-2-22000022-20-22-20000-200002-22002-200002-22-20022-2-200002i−2i2i−2i002i2i−2i−2i000000000002i−2i000000000000
χ3822-2-22200-22-2-22-2-22000022-20-22-20000-200002-22002-200002-22-20022-2-20000−2i2i−2i2i00−2i−2i2i2i00000000000−2i2i000000000000
χ3922-2-22200-22-2-22-2-2200002-220-22-20000-200002-2200-220000-222-200-2-22200002i−2i−2i2i00−2i−2i2i2i000000000002i−2i000000000000
χ4022-2-22200-22-2-22-2-2200002-220-22-20000-200002-2200-220000-222-200-2-2220000−2i2i2i−2i002i2i−2i−2i00000000000−2i2i000000000000
χ4122-2-22-100-22-2-2-111233−3−3-12-201-11003−3-233−3−3-11200-11003−32-2-113−3-1-11133−3−32i−2i2i−2i00−i−iii−i3−i3i3i3000−i3i300−ii000000000000
χ4222-2-22-100-22-2-2-111233−3−3-12-201-11003−3-233−3−3-11200-11003−32-2-113−3-1-11133−3−3−2i2i−2i2i00ii−i−ii3i3−i3−i3000i3−i300i−i000000000000
χ4322-2-22-100-22-2-2-111233−3−3-1-2201-11003−3-233−3−3-112001-100−33-22-113−311-1-1−3−3332i−2i−2i2i00ii−i−ii3i3−i3−i3000−i3i300−ii000000000000
χ4422-2-22-100-22-2-2-111233−3−3-1-2201-11003−3-233−3−3-112001-100−33-22-113−311-1-1−3−333−2i2i2i−2i00−i−iii−i3−i3i3i3000i3−i300i−i000000000000
χ4522-2-22-100-22-2-2-1112−3−333-12-201-1100−33-2−3−333-11200-1100−332-2-11−33-1-111−3−3332i−2i2i−2i00−i−iiii3i3−i3−i3000i3−i300−ii000000000000
χ4622-2-22-100-22-2-2-1112−3−333-12-201-1100−33-2−3−333-11200-1100−332-2-11−33-1-111−3−333−2i2i−2i2i00ii−i−i−i3−i3i3i3000−i3i300i−i000000000000
χ4722-2-22-100-22-2-2-1112−3−333-1-2201-1100−33-2−3−333-112001-1003−3-22-11−3311-1-133−3−32i−2i−2i2i00ii−i−i−i3−i3i3i3000i3−i300−ii000000000000
χ4822-2-22-100-22-2-2-1112−3−333-1-2201-1100−33-2−3−333-112001-1003−3-22-11−3311-1-133−3−3−2i2i2i−2i00−i−iiii3i3−i3−i3000−i3i300i−i000000000000
χ4944444-244-4-444-2-2-24-2-2-2-2-200-4-2-2-24422-4-2-2-2-222-40-40000000022220000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-242222-2004-2-2-2-4-4-2-2-4222222-4040000000022-2-20000000000000000000000000000000000000000000
χ514444-2444-4-4-2-2444-24444-200-4-2-2-2-2-2-4-42-2-2-2-2-4-42020000000022220000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-2444-2-4-4-4-4-2004-2-2-2224422222-4-420-20000000022-2-20000000000000000000000000000000000000000000
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
χ574444-2-2-4-444-2-2-2-2-2-22222144-41112222-2-1-1-1-1-2-2-2-42-2-22222-2-211-1-11111-1-1-1-100000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-222221-4-4-41112222-2-1-1-1-1-2-2-24222-2-2-2-22211-1-1-1-1-1-1111100000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-22-1-1-1-12220-200000000-1-1113-33-3-33-3300000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-22-1-1-1-12220-200000000-1-111-33-333-33-300000000000000000000000000000000000
χ6144-4-444004-4-4-44-4-4400004000-44-4000040000-44-40000000000-44000000000000000000000000000000000000000000000
χ6244-4-44-2004-4-4-4-22242323−23−23-20002-2200−232342323−23−232-2-400000000002-2−23230000000000000000000000000000000000000000000
χ6344-4-44-2004-4-4-4-2224−23−232323-20002-220023−234−23−2323232-2-400000000002-223−230000000000000000000000000000000000000000000
χ6444-4-4-24004-4224-4-4-20000-20002-220000-20000-442000023−2300002-200000023−23−232300000000000000000000000000000000000
χ6544-4-4-24004-4224-4-4-20000-20002-220000-20000-4420000−232300002-2000000−232323−2300000000000000000000000000000000000
χ6644-4-4-2400-44224-4-4-20000-24-402-220000200004-4-2004-40000-22-2200-2-222000000000000000000000000000000000000000
χ6744-4-4-2400-44224-4-4-20000-2-4402-220000200004-4-200-4400002-2-220022-2-2000000000000000000000000000000000000000
χ6844-4-4-2-2004-422-222-22323−23−231000-11-100−2323-2−3−3332-22000023−230000-113−3-333-3−333−300000000000000000000000000000000000
χ6944-4-4-2-2004-422-222-22323−23−231000-11-100−2323-2−3−3332-220000−23230000-113−33-3-333−3−3300000000000000000000000000000000000
χ7044-4-4-2-2004-422-222-2−23−2323231000-11-10023−23-233−3−32-22000023−230000-11−333-3-33−333−300000000000000000000000000000000000
χ7144-4-4-2-2004-422-222-2−23−2323231000-11-10023−23-233−3−32-220000−23230000-11−33-333-33−3−3300000000000000000000000000000000000
χ7244-4-4-2-200-4422-222-22323−23−2314-40-11-10023−232−3−333-22-200-220023−23-221-1−3311-1-1−3−33300000000000000000000000000000000000
χ7344-4-4-2-200-4422-222-22323−23−231-440-11-10023−232−3−333-22-2002-200−23232-21-1−33-1-11133−3−300000000000000000000000000000000000
χ7444-4-4-2-200-4422-222-2−23−23232314-40-11-100−2323233−3−3-22-200-2200−2323-221-13−311-1-133−3−300000000000000000000000000000000000
χ7544-4-4-2-200-4422-222-2−23−2323231-440-11-100−2323233−3−3-22-2002-20023−232-21-13−3-1-111−3−33300000000000000000000000000000000000
χ764-44-4444-4004-4-4-44-44-44-440004-4-44-40004-44-4000000000000000000000000000000000000000000000000000000000000
χ774-44-444-44004-4-4-44-4-44-4440004-4-4-44000-44-44000000000000000000000000000000000000000000000000000000000000
χ784-44-44-24-4004-422-2-4-22-22-2000-2224-4000-22-2200000000000000000000000000000006−66−66−66−6000000000000000000000
χ794-44-44-24-4004-422-2-4-22-22-2000-2224-4000-22-220000000000000000000000000000000−66−66−66−66000000000000000000000
χ804-44-44-2-44004-422-2-42-22-2-2000-222-440002-22-200000000000000000000000000000006−66−6−66−66000000000000000000000
χ814-44-44-2-44004-422-2-42-22-2-2000-222-440002-22-20000000000000000000000000000000−66−666−66−6000000000000000000000
χ824-44-4-244-400-22-4-4424-44-4-2000-222-22000-22-22000000000000000000000000000000000000000000000000i6−i6i6−i600000000
χ834-44-4-244-400-22-4-4424-44-4-2000-222-22000-22-22000000000000000000000000000000000000000000000000−i6i6−i6i600000000
χ844-44-4-24-4400-22-4-442-44-44-2000-2222-20002-22-2000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ854-44-4-24-4400-22-4-442-44-44-2000-2222-20002-22-2000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ864-4-44440000-44-44-4-400004000-4-4400000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000
χ874-4-44440000-44-44-4-400004000-4-44000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000
χ884-4-444-20000-442-22-423−23−2323-200022-20000023−23−232300000000000000000000000000000−2i22i2−i6i6i6−i6i2−i2−i2i2000000000000000000000
χ894-4-444-20000-442-22-423−23−2323-200022-20000023−23−2323000000000000000000000000000002i2−2i2i6−i6−i6i6−i2i2i2−i2000000000000000000000
χ904-4-444-20000-442-22-4−232323−23-200022-200000−232323−2300000000000000000000000000000−2i22i2i6−i6−i6i6i2−i2−i2i2000000000000000000000
χ914-4-444-20000-442-22-4−232323−23-200022-200000−232323−23000000000000000000000000000002i2−2i2−i6i6i6−i6−i2i2i2−i2000000000000000000000
χ928-88-8-4-48-800-4444-44-44-4420002-2-2-440002-22-2000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4-8800-4444-444-44-420002-2-24-4000-22-22000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800004-4-88-840000-400044-4000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004-44-44443−43−43432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400004-44-444−434343−432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000

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