Finite Group Databasebeta

← Group #11794308

Character table — Group #11794308

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12222222223366666636666666666666666666446666121212121212121212121212121212124444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-111111111-1-1
χ922222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ1022222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ1122222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-21111111111112-22-20000-1-1-1-1111100000000000000
χ1222222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-2111111111111-22-2200001111-1-1-1-100000000000000
χ132222222222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ142222222222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ152222222222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-11111000000
χ162222222222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000000
χ1722222-2-22-2-22222222222-2-2-222-2-2-2-22-2-2-2-2222-20022-2-20000000000000000020-20000000022-2-200000000000000
χ1822222-2-22-2-22222222222-2-2-222-2-2-2-22-2-2-2-2222-20022-2-200000000000000000-20200000000-2-22200000000000000
χ1922222-2-22-2-22-12-122-1-1-12-2-2-2-1-11111-11111-1-12-200-1-1110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3020-20000−i3−i3i3i3-1-11100000000000000
χ2022222-2-22-2-22-12-122-1-1-12-2-2-2-1-11111-11111-1-12-200-1-1110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30-2020000i3i3−i3−i311-1-100000000000000
χ2122222-2-22-2-22-12-122-1-1-12-2-2-2-1-11111-11111-1-12-200-1-1110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3020-20000i3i3−i3−i3-1-11100000000000000
χ2222222-2-22-2-22-12-122-1-1-12-2-2-2-1-11111-11111-1-12-200-1-1110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30-2020000−i3−i3i3i311-1-100000000000000
χ232222-22-2-22-2222222222-22-2-2-2-222-2-22-2-2-2-222-2200-2-222000000000000000020-2000002-22-2000000000000000000
χ242222-22-2-22-2222222222-22-2-2-2-222-2-22-2-2-2-222-2200-2-2220000000000000000-20200000-22-22000000000000000000
χ252222-22-2-22-22-12-122-1-1-1-22-2-211-1-111-11111-1-1-220011-1-10000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i320-200000-11-11−i3i3−i3i300000000000000
χ262222-22-2-22-22-12-122-1-1-1-22-2-211-1-111-11111-1-1-220011-1-10000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-202000001-11-1i3−i3i3−i300000000000000
χ272222-22-2-22-22-12-122-1-1-1-22-2-211-1-111-11111-1-1-220011-1-10000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i320-200000-11-11i3−i3i3−i300000000000000
χ282222-22-2-22-22-12-122-1-1-1-22-2-211-1-111-11111-1-1-220011-1-10000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-202000001-11-1−i3i3−i3i300000000000000
χ292222-2-22-2-22222222222-2-222-2-2-2-2222222222-2-22-2-2-2-2-222-2-22-2-2222-2-2-2-222000000000000000000000000000000
χ302222-2-22-2-22222222222-2-222-2-2-2-2222222222-2-2-22-2-2-2-2-2-222-222-2-2-22222-2-2000000000000000000000000000000
χ312222-2-22-2-222-12-122-1-1-1-2-2221111-1-1-1-1-1-1-1-1-1-2-22-2111122-2-2-111-1-1-11111-1-100000000−i3i3i3−i3−i3i3i3−i300000000000000
χ322222-2-22-2-222-12-122-1-1-1-2-2221111-1-1-1-1-1-1-1-1-1-2-22-2111122-2-2-111-1-1-11111-1-100000000i3−i3−i3i3i3−i3−i3i300000000000000
χ332222-2-22-2-222-12-122-1-1-1-2-2221111-1-1-1-1-1-1-1-1-1-2-2-221111-2-2221-1-1111-1-1-1-11100000000−i3i3i3−i3i3−i3−i3i300000000000000
χ342222-2-22-2-222-12-122-1-1-1-2-2221111-1-1-1-1-1-1-1-1-1-2-2-221111-2-2221-1-1111-1-1-1-11100000000i3−i3−i3i3−i3i3i3−i300000000000000
χ352222-2-22-2-22-12-12-1-122-111-1-1-2-2-2-222-1-1-1-1-1-1-1112-21111-1-1112-2-22-1-11111-1-1000000000000000033−3−333−3−3000000
χ362222-2-22-2-22-12-12-1-122-111-1-1-2-2-2-222-1-1-1-1-1-1-1112-21111-1-1112-2-22-1-11111-1-10000000000000000−3−333−3−333000000
χ372222-2-22-2-22-12-12-1-122-111-1-1-2-2-2-222-1-1-1-1-1-1-111-22111111-1-1-222-211-1-1-1-111000000000000000033−3−3−3−333000000
χ382222-2-22-2-22-12-12-1-122-111-1-1-2-2-2-222-1-1-1-1-1-1-111-22111111-1-1-222-211-1-1-1-1110000000000000000−3−33333−3−3000000
χ3922-2-222-2-2-222222-2-2-2-22222-22-22-22-2222-2-2-2-2-2-2002-22-2000000000000000000000000000000000000000000002-2
χ4022-2-222-2-2-222222-2-2-2-22222-22-22-22-2222-2-2-2-2-2-2002-22-200000000000000000000000000000000000000000000-22
χ4122-2-22-22-22-22222-2-2-2-222-2-222-2-22-222-2-222-2-2-22002-2-22000000000000000000002-200000000002-22-20000000000
χ4222-2-22-22-22-22222-2-2-2-222-2-222-2-22-222-2-222-2-2-22002-2-2200000000000000000000-220000000000-22-220000000000
χ4322-2-22-22-22-2-12-1211-2-2-1-111-12-2-22-22-111-1-1111-100-111-13−33−300003−33−33−33−300002-20000000000-11-113−33−3000000
χ4422-2-22-22-22-2-12-1211-2-2-1-111-12-2-22-22-111-1-1111-100-111-13−33−300003−33−33−33−30000-2200000000001-11-1−33−33000000
χ4522-2-22-22-22-2-12-1211-2-2-1-111-12-2-22-22-111-1-1111-100-111-1−33−330000−33−33−33−3300002-20000000000-11-11−33−33000000
χ4622-2-22-22-22-2-12-1211-2-2-1-111-12-2-22-22-111-1-1111-100-111-1−33−330000−33−33−33−330000-2200000000001-11-13−33−3000000
χ4722-2-2-2222-2-22222-2-2-2-22-22-22-222-2-222-2-222-2-22-200-222-200000000000000000000002-20000000000002-2-22000000
χ4822-2-2-2222-2-22222-2-2-2-22-22-22-222-2-222-2-222-2-22-200-222-20000000000000000000000-22000000000000-222-2000000
χ4922-2-2-2222-2-2-12-1211-2-2-11-11-1-222-2-22-111-1-111-11001-1-113−3−3300003−3−33−333−30000002-200000000−333−3-111-1000000
χ5022-2-2-2222-2-2-12-1211-2-2-11-11-1-222-2-22-111-1-111-11001-1-113−3−3300003−3−33−333−3000000-22000000003−3−331-1-11000000
χ5122-2-2-2222-2-2-12-1211-2-2-11-11-1-222-2-22-111-1-111-11001-1-11−333−30000−333−33−3−330000002-2000000003−3−33-111-1000000
χ5222-2-2-2222-2-2-12-1211-2-2-11-11-1-222-2-22-111-1-111-11001-1-11−333−30000−333−33−3−33000000-2200000000−333−31-1-11000000
χ5322-2-2-2-2-22222222-2-2-2-22-2-22-2-22-222-2222-2-2-2-22200-22-2200000000000000000000000000000000000000002i2i−2i−2i00
χ5422-2-2-2-2-22222222-2-2-2-22-2-22-2-22-222-2222-2-2-2-22200-22-220000000000000000000000000000000000000000−2i−2i2i2i00
χ554444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-4-4-24-24-2-244-2-222244-4-4-4-4-22222-2-2-2200-2-2220000000000000000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-21-2222-2-222221-1-1-1-111-220011-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-2-2-21-2222-2-222221-1-1-1-111-220011-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-44-4-44-4-24-24-2-244-22-222-4-444-4-4-22222-2-22-20022-2-20000000000000000000000000000000000000000000000
χ614444-44-4-44-4-2-2-2-2-2-2-2-212-22222-2-2221-1-1-1-1112-200-1-1110000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-2-2-2-2-212-22222-2-2221-1-1-1-1112-200-1-11100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ634444-4-44-4-44-2-2-2-2-2-2-2-2122-2-22222-2-21111111224-4-1-1-1-1-2-222-222-211-1-1-1-111000000000000000000000000000000
χ644444-4-44-4-44-2-2-2-2-2-2-2-2122-2-22222-2-2111111122-44-1-1-1-122-2-22-2-22-1-11111-1-1000000000000000000000000000000
χ6544-4-444-4-4-444-24-2-4-422-2444-4-22-22-22-2-2-22222-4-400-22-220000000000000000000000000000000000000000000000
χ6644-4-444-4-4-44-24-2422-4-4-2-2-2-224-44-44-4-2-2-222222200-22-220000000000000000000000000000000000000000000000
χ6744-4-444-4-4-44-2-2-2-222221-2-2-22-22-22-22111-1-1-1-122001-11-1000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ6844-4-444-4-4-44-2-2-2-222221-2-2-22-22-22-22111-1-1-1-122001-11-100000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ6944-4-44-44-44-44-24-2-4-422-24-4-44-222-22-2-222-2-222-4400-222-20000000000000000000000000000000000000000000000
χ7044-4-44-44-44-4-2-2-2-222221-222-2-222-22-21-1-111-1-12-2001-1-1123−2323−230000−33−33−33−33000000000000000000000000000000
χ7144-4-44-44-44-4-2-2-2-222221-222-2-222-22-21-1-111-1-12-2001-1-11−2323−232300003−33−33−33−3000000000000000000000000000000
χ7244-4-4-4444-4-44-24-2-4-422-2-44-442-2-222-2-222-2-2224-4002-2-220000000000000000000000000000000000000000000000
χ7344-4-4-4444-4-4-2-2-2-2222212-22-22-2-222-21-1-111-1-1-2200-111-123−23−23230000−333−33−3−33000000000000000000000000000000
χ7444-4-4-4444-4-4-2-2-2-2222212-22-22-2-222-21-1-111-1-1-2200-111-1−232323−2300003−3−33−333−3000000000000000000000000000000
χ7544-4-4-4-4-44444-24-2-4-422-2-4-44-42-22-2-22-2-2-2222244002-22-20000000000000000000000000000000000000000000000
χ7644-4-4-4-4-4444-24-2422-4-4-222-22-44-444-4-2-2-22222-2-2002-22-20000000000000000000000000000000000000000000000
χ7744-4-4-4-4-4444-2-2-2-22222122-222-22-2-22111-1-1-1-1-2-200-11-11000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ7844-4-4-4-4-4444-2-2-2-22222122-222-22-2-22111-1-1-1-1-2-200-11-1100000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ794-44-400000044-4-44-44-440000000000-400004-40000000000000000000000000000000000000000000000002i−2i2i−2i00
χ804-44-400000044-4-44-44-440000000000-400004-4000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ814-4-4400000044-4-4-44-4440000000000-40000-440000000000000000000000000000000000000000000000002-2-2200
χ824-4-4400000044-4-4-44-4440000000000-40000-44000000000000000000000000000000000000000000000000-222-200
χ838-88-80000008-4-848-8-44-4000000000040000-44000000000000000000000000000000000000000000000000000000
χ848-88-8000000-484-8-448-8-4000000000040000-44000000000000000000000000000000000000000000000000000000
χ858-88-8000000-4-444-44-4420000000000-26-66-62-2000000000000000000000000000000000000000000000000000000
χ868-88-8000000-4-444-44-4420000000000-2-66-662-2000000000000000000000000000000000000000000000000000000
χ878-8-880000008-4-84-884-4-40000000000400004-4000000000000000000000000000000000000000000000000000000
χ888-8-88000000-484-84-4-88-40000000000400004-4000000000000000000000000000000000000000000000000000000
χ898-8-88000000-4-4444-44-420000000000-26-6-66-22000000000000000000000000000000000000000000000000000000
χ908-8-88000000-4-4444-44-420000000000-2-666-6-22000000000000000000000000000000000000000000000000000000

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