Finite Group Databasebeta

← Group #11897564

Character table — Group #11897564

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order122233444466666612121212223466612121212121212121212121246666666612121212121212121212121212228888242424242424242444466881212242424244444121244
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
χ511111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1
χ611111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111
χ711111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-11-1111-1-1-111-1-11-11-11-11-1
χ10111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-11-1-1-1-111-11-11-11-11
χ11111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-11111-1-1-11-111-1-11
χ12111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-1111-1-1111-11-1-111-1
χ13111111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-11111-11-111-11-1-1-1-1111-11-11-1-11
χ14111111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-11111-1-11111-1-1-111-1-1-11-11-111-1
χ15111111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1111-1-111-11-111-11-1
χ16111111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-11-11-1-11-11111-1-11-11-1-11-11
χ1722222222-2-22222222222002-2222-2-2-2222222-2-2-2000000000-20000-2-2-2-2000000000000000000000000000000022-2-20000
χ1822222222-2-22222222222002-2222-2-2-2222222-2-2-2000000000-20000-2-2-2-20000000000000000000000000000000-2-2220000
χ19222222-2-2-2-2222222-2-2-2-20022222-222-2-2-2-2-2-2-2-2-200000000020000-2-22200000000000000000000000000000002-2-220000
χ20222222-2-2-2-2222222-2-2-2-20022222-222-2-2-2-2-2-2-2-2-200000000020000-2-2220000000000000000000000000000000-222-20000
χ2122222-1222222-1-1-12-1-1-1-122-12-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1200-1-100-1-1000000000000
χ2222222-1222222-1-1-12-1-1-1-122-12-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-200110011000000000000
χ2322222-1222222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-122-1-1-1-1-1-12-2-2-2111111211-2-2-1-1-1-1111122-2-2-2-211111111200-1-100-1-1000000000000
χ2422222-1222222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-122-1-1-1-1-1-12-2-2-2111111211-2-2-1-1-1-11111-2-22222-1-1-1-1-1-1-1-1-200110011000000000000
χ2522222-1-2-22222-1-1-12111122-1-2-1-1-1211-2-21111-1-12-222-1-1-1-1-1-1-211-2-2-1-11111112222-2-2-1-1-1-11111-200-1-10011000000000000
χ2622222-1-2-22222-1-1-12111122-1-2-1-1-1211-2-21111-1-12-222-1-1-1-1-1-1-211-2-2-1-1111111-2-2-2-2221111-1-1-1-12001100-1-1000000000000
χ2722222-1-2-22222-1-1-121111-2-2-1-2-1-1-1211-2-21111-1-122-2-2111111-2-1-122-1-111-1-1-1-122-2-2221111-1-1-1-1-200-1-10011000000000000
χ2822222-1-2-22222-1-1-121111-2-2-1-2-1-1-1211-2-21111-1-122-2-2111111-2-1-122-1-111-1-1-1-1-2-222-2-2-1-1-1-111112001100-1-1000000000000
χ292222-122222-1-1222-1222222-12-1-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000000000022002200-1-1-1-10000-1-100
χ302222-122222-1-1222-1222222-12-1-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000000-2-200-2-200111100001100
χ312222-122222-1-1222-12222-2-2-12-1-1-1-122-1-1-1-1-1-122-1-211-2-21111-1-2-211-1-1-1-111110000000000000002200-2-20011110000-1-100
χ322222-122222-1-1222-12222-2-2-12-1-1-1-122-1-1-1-1-1-122-1-211-2-21111-1-2-211-1-1-1-11111000000000000000-2-2002200-1-1-1-100001100
χ332222-12-2-222-1-1222-1-2-2-2-222-1-2-1-1-1-1-2-211111122-1-2-1-122-1-1-1-11-2-211-1-11111110000000000000002-2002-200-1-1110000-1100
χ342222-12-2-222-1-1222-1-2-2-2-222-1-2-1-1-1-1-2-211111122-1-2-1-122-1-1-1-11-2-211-1-1111111000000000000000-2200-220011-1-100001-100
χ352222-12-2-222-1-1222-1-2-2-2-2-2-2-1-2-1-1-1-1-2-211111122-1211-2-21111122-1-1-1-111-1-1-1-10000000000000002-200-220011-1-10000-1100
χ362222-12-2-222-1-1222-1-2-2-2-2-2-2-1-2-1-1-1-1-2-211111122-1211-2-21111122-1-1-1-111-1-1-1-1000000000000000-22002-200-1-11100001-100
χ3722-2-222002-22-22-2-2-200002-2202-2-22000000002-2-202-22-222-2-2000002-20000002-22-20022-2-200000002-20000000000000000
χ3822-2-222002-22-22-2-2-200002-2202-2-22000000002-2-202-22-222-2-2000002-2000000-22-2200-2-2220000000-220000000000000000
χ3922-2-222002-22-22-2-2-20000-22202-2-22000000002-2-20-22-22-2-222000002-20000002-2-2200-2-22200000002-20000000000000000
χ4022-2-222002-22-22-2-2-20000-22202-2-22000000002-2-20-22-22-2-222000002-2000000-222-20022-2-20000000-220000000000000000
χ4122-2-22-1002-22-2-111-233−3−32-2-10-11123−30033−3−3-11-202-2-11-1-11103−300-113−333−3−32-22-200-1-11133−3−3000-11003−3000000000000
χ4222-2-22-1002-22-2-111-233−3−32-2-10-11123−30033−3−3-11-202-2-11-1-11103−300-113−333−3−3-22-220011-1-1−3−3330001-100−33000000000000
χ4322-2-22-1002-22-2-111-233−3−3-22-10-11123−30033−3−3-11-20-221-111-1-10−3300-113−3−3−3332-2-220011-1-1−3−333000-11003−3000000000000
χ4422-2-22-1002-22-2-111-233−3−3-22-10-11123−30033−3−3-11-20-221-111-1-10−3300-113−3−3−333-222-200-1-11133−3−30001-100−33000000000000
χ4522-2-22-1002-22-2-111-2−3−3332-2-10-1112−3300−3−333-11-202-2-11-1-1110−3300-11−33−3−3332-22-200-1-111−3−333000-1100−33000000000000
χ4622-2-22-1002-22-2-111-2−3−3332-2-10-1112−3300−3−333-11-202-2-11-1-1110−3300-11−33−3−333-22-220011-1-133−3−30001-1003−3000000000000
χ4722-2-22-1002-22-2-111-2−3−333-22-10-1112−3300−3−333-11-20-221-111-1-103−300-11−3333−3−32-2-220011-1-133−3−3000-1100−33000000000000
χ4822-2-22-1002-22-2-111-2−3−333-22-10-1112−3300−3−333-11-20-221-111-1-103−300-11−3333−3−3-222-200-1-111−3−3330001-1003−3000000000000
χ4944444-244-4-444-2-2-24-2-2-2-200-2-4-2-2-2-42244-2-2-2-222-4000000000-400002222000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-24222200-24-2-2-2-4-2-2-4-4222222-40000000004000022-2-2000000000000000000000000000000000000000
χ514444-2444-4-4-2-2444-2444400-2-4-2-2-22-4-4-2-2-2-2-2-2-4-42000000000200002222000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-2444-2-4-4-4-400-24-2-2-2244222222-4-42000000000-2000022-2-2000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-24414111-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-2-4-414111-2-2-2-2-21111-2-2-2-42222-1-1-1-1-222221111-1-1-1-100000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-4111222-2-21111222000003-33-320000-1-1-1-13-33-300000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-4111222-2-2111122200000-33-3320000-1-1-1-1-33-3300000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-22222441-4111-22222-1-1-1-1-2-2-2-4-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-22222-4-41-4111-22222-1-1-1-1-2-2-242222-1-1-1-12-2-2-2-211-1-1111100000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2222200141112-2-222-1-1-1-1222000003-33-3-20000-1-111-33-3300000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2222200141112-2-222-1-1-1-122200000-33-33-20000-1-1113-33-300000000000000000000000000000000000
χ6144-4-44400-444-44-4-4-4000000404-4-4-400000000-44400000000000000-4400000000000000000000000000000000000000000
χ6244-4-44-200-444-4-222-42323−23−2300-20-222-4−2323002323−23−232-24000000000000002-2−2323000000000000000000000000000000000000000
χ6344-4-44-200-444-4-222-4−23−23232300-20-222-423−2300−23−2323232-24000000000000002-223−23000000000000000000000000000000000000000
χ6444-4-4-24004-4-224-4-4200004-4-20-222-2000000004-420-224-4-2-22200000-2200000000000000000000000000000000000000000
χ6544-4-4-24004-4-224-4-420000-44-20-222-2000000004-4202-2-4422-2-200000-2200000000000000000000000000000000000000000
χ6644-4-4-2400-44-224-4-42000000-20-222200000000-44-200000000000023−232-20023−23−232300000000000000000000000000000000000
χ6744-4-4-2400-44-224-4-42000000-20-222200000000-44-2000000000000−23232-200−232323−2300000000000000000000000000000000000
χ6844-4-4-2-2004-4-22-22222323−23−234-4101-1-1-223−2300−3−333-2220-22-2211-1-1023−23001-1−33−3−33300000000000000000000000000000000000
χ6944-4-4-2-2004-4-22-22222323−23−23-44101-1-1-223−2300−3−333-22202-22-2-1-1110−2323001-1−3333−3−300000000000000000000000000000000000
χ7044-4-4-2-2004-4-22-2222−23−2323234-4101-1-1-2−23230033−3−3-2220-22-2211-1-10−2323001-13−333−3−300000000000000000000000000000000000
χ7144-4-4-2-2004-4-22-2222−23−232323-44101-1-1-2−23230033−3−3-22202-22-2-1-111023−23001-13−3−3−33300000000000000000000000000000000000
χ7244-4-4-2-200-44-22-22222323−23−2300101-1-12−232300−3−3332-2-2000003-3-33000−2323-113−33−3−3300000000000000000000000000000000000
χ7344-4-4-2-200-44-22-22222323−23−2300101-1-12−232300−3−3332-2-200000-333-300023−23-113−3−333−300000000000000000000000000000000000
χ7444-4-4-2-200-44-22-2222−23−23232300101-1-1223−230033−3−32-2-2000003-3-3300023−23-11−33−333−300000000000000000000000000000000000
χ7544-4-4-2-200-44-22-2222−23−23232300101-1-1223−230033−3−32-2-200000-333-3000−2323-11−333−3−3300000000000000000000000000000000000
χ764-44-4444-400-4-4-4-4444-44-40040-4-440004-44-44-4000000000000000000000000000000000000000000000000000000000000
χ774-44-444-4400-4-4-4-444-44-440040-4-44000-44-44-44000000000000000000000000000000000000000000000000000000000000
χ784-44-44-24-400-4-422-24-22-2200-2022-20004-4-22-220000000000000000000000000000000i6−i6i6−i6i6−i6i6−i6000000000000000000000
χ794-44-44-24-400-4-422-24-22-2200-2022-20004-4-22-220000000000000000000000000000000−i6i6−i6i6−i6i6−i6i6000000000000000000000
χ804-44-44-2-4400-4-422-242-22-200-2022-2000-442-22-20000000000000000000000000000000i6−i6i6−i6−i6i6−i6i6000000000000000000000
χ814-44-44-2-4400-4-422-242-22-200-2022-2000-442-22-20000000000000000000000000000000−i6i6−i6i6i6−i6i6−i6000000000000000000000
χ824-44-4-244-40022-4-44-24-44-400-2022-2000-22-22-22000000000000000000000000000000000000000000000000i6−i6i6−i600000000
χ834-44-4-244-40022-4-44-24-44-400-2022-2000-22-22-22000000000000000000000000000000000000000000000000−i6i6−i6i600000000
χ844-44-4-24-440022-4-44-2-44-4400-2022-20002-22-22-2000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ854-44-4-24-440022-4-44-2-44-4400-2022-20002-22-22-2000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ864-4-44440000-44-44-4-400000040-44-400000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000
χ874-4-44440000-44-44-4-400000040-44-4000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000
χ884-4-444-20000-442-22-423−23−232300-202-220000023−23−232300000000000000000000000000000−2i22i2i6−i6−i6i6i2−i2−i2i2000000000000000000000
χ894-4-444-20000-442-22-423−23−232300-202-220000023−23−2323000000000000000000000000000002i2−2i2−i6i6i6−i6−i2i2i2−i2000000000000000000000
χ904-4-444-20000-442-22-4−232323−2300-202-2200000−232323−2300000000000000000000000000000−2i22i2−i6i6i6−i6i2−i2−i2i2000000000000000000000
χ914-4-444-20000-442-22-4−232323−2300-202-2200000−232323−23000000000000000000000000000002i2−2i2i6−i6−i6i6−i2i2i2−i2000000000000000000000
χ928-88-8-4-48-8004444-4-4-44-440020-2-22000-442-22-2000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4-88004444-4-44-44-40020-2-220004-4-22-22000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800004-4-88-84000000-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004-44-44443−43−43430020-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400004-44-444−434343−430020-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000

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