Finite Group Databasebeta

← Group #11779059

Character table — Group #11779059

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order12223344446666663444666121212121212121212121212121212124121212121212121212121212121212121212121244121212124448812121212121224242424888826688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111-1-1111111111-1-1-1-11111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-1111111111-1-1-1-11111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-1111111111-1-1-1-11111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111
χ811111111111111111-1-1111111111-1-1-1-11111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-22-2222222222-2222-2-22222222-2-2-2-2-2-22-2-222-2-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ102222222-22-22222222-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-222-2-2-222-22222-2-2-2-2-2-22222000000000000000000000000000000
χ11222222-22-22222222200-222222-2-2-20000222222-20-20000-200-2-2-2-200000000222222-20000-2-200000000000000000
χ12222222-22-22222222200-222222-2-2-20000222222-20-20000-200-2-2-2-200000000-2-2-2-2-2-2200002200000000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-2020000200-2-2220000000000000002-2000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-2020000200-2-222000000000000000-220000-2-2220000000000000
χ1522222-12222-12-1-122-1222-1-1-1-1-122-1222222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000022000000-1-1-1-100002-1-100
χ1622222-12222-12-1-122-1222-1-1-1-1-122-1222222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-200000011110000-21100
χ1722222-12222-12-1-122-1-2-22-1-1-1-1-122-1-2-2-2-222-1-1-1-1-1-2-111112-2-2-1-1-1-11111111100000000022000000-1-1-1-10000-21100
χ1822222-12222-12-1-122-1-2-22-1-1-1-1-122-1-2-2-2-222-1-1-1-1-1-2-111112-2-2-1-1-1-111111111000000000-2-2000000111100002-1-100
χ1922222-12-22-2-12-1-122-122-2-1-1-11122-12222-2-21111-1-21-1-111-2-2-2-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ2022222-12-22-2-12-1-122-122-2-1-1-11122-12222-2-21111-1-21-1-111-2-2-2-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ2122222-12-22-2-12-1-122-1-2-2-2-1-1-11122-1-2-2-2-2-2-21111-12111-1-1-222-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ2222222-12-22-2-12-1-122-1-2-2-2-1-1-11122-1-2-2-2-2-2-21111-12111-1-1-222-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ232222-1222222-122-1-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000000
χ242222-1222222-122-1-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2001111110000000000000
χ252222-1222222-122-1-1-1-2-22-1-1-122-1-121111-1-1-1-1-1-12-22-2-2-2-2-111-1-1-1-11111111122-1-1-1-12-2-200-1-111110000000000000
χ262222-1222222-122-1-1-1-2-22-1-1-122-1-121111-1-1-1-1-1-12-22-2-2-2-2-111-1-1-1-111111111-2-21111-2220011-1-1-1-10000000000000
χ272222-122-22-22-122-1-1-122-2-1-1-1-2-2-1-12-1-1-1-11111112-2-222-2-2111-1-111-1-1-1-1111100−i3−i3i3i300000−i3i3−i3i3−i3i30000000000000
χ282222-122-22-22-122-1-1-122-2-1-1-1-2-2-1-12-1-1-1-11111112-2-222-2-2111-1-111-1-1-1-1111100i3i3−i3−i300000i3−i3i3−i3i3−i30000000000000
χ292222-122-22-22-122-1-1-1-2-2-2-1-1-1-2-2-1-12111111111122-2-2-2221-1-1-1-1111111-1-1-1-100−i3−i3i3i300000−i3i3i3−i3i3−i30000000000000
χ302222-122-22-22-122-1-1-1-2-2-2-1-1-1-2-2-1-12111111111122-2-2-2221-1-1-1-1111111-1-1-1-100i3i3−i3−i300000i3−i3−i3i3−i3i30000000000000
χ312222-12-22-222-122-1-1-100-2-1-1-12211-2−i3−i3i3i3-1-1-1-1-1-1-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i322-1-1-1-1-2000011−i3i3i3−i30000000000000
χ322222-12-22-222-122-1-1-100-2-1-1-12211-2−i3−i3i3i3-1-1-1-1-1-1-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2111120000-1-1i3−i3−i3i30000000000000
χ332222-12-22-222-122-1-1-100-2-1-1-12211-2i3i3−i3−i3-1-1-1-1-1-1-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i322-1-1-1-1-2000011i3−i3−i3i30000000000000
χ342222-12-22-222-122-1-1-100-2-1-1-12211-2i3i3−i3−i3-1-1-1-1-1-1-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2111120000-1-1−i3i3i3−i30000000000000
χ352222-12-2-2-2-22-122-1-1-1002-1-1-1-2-211-2−i3−i3i3i3111111-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i302-200i3−i3-1-1110000000000000
χ362222-12-2-2-2-22-122-1-1-1002-1-1-1-2-211-2−i3−i3i3i3111111-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i30-2200−i3i311-1-10000000000000
χ372222-12-2-2-2-22-122-1-1-1002-1-1-1-2-211-2i3i3−i3−i3111111-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i30-2200i3−i311-1-10000000000000
χ382222-12-2-2-2-22-122-1-1-1002-1-1-1-2-211-2i3i3−i3−i3111111-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i302-200−i3i3-1-1110000000000000
χ3922-2-222-2020-222-2-2-222-20-22-2002-2-22-22-20000002002-2000002-2002-22-20000000000000000000000000−i2−i2i2i2000−i2i2
χ4022-2-222-2020-222-2-2-222-20-22-2002-2-22-22-20000002002-2000002-2002-22-20000000000000000000000000i2i2−i2−i2000i2−i2
χ4122-2-222-2020-222-2-2-22-220-22-2002-2-2-22-22000000200-22000002-200-22-220000000000000000000000000−i2−i2i2i2000i2−i2
χ4222-2-222-2020-222-2-2-22-220-22-2002-2-2-22-22000000200-22000002-200-22-220000000000000000000000000i2i2−i2−i2000−i2i2
χ432-22-2220-2022-2-2-22-220002-2-22-200000002-222-2-200000000000000000000002-22-22-2000−i2i2000000−i2i2−i2i2−i2i2−i2i200000
χ442-22-2220-2022-2-2-22-220002-2-22-200000002-222-2-200000000000000000000002-22-22-2000i2−i2000000i2−i2i2−i2i2−i2i2−i200000
χ452-22-2220-2022-2-2-22-220002-2-22-200000002-222-2-20000000000000000000000-22-22-22000−i2i2000000−i2i2−i2i2i2−i2i2−i200000
χ462-22-2220-2022-2-2-22-220002-2-22-200000002-222-2-20000000000000000000000-22-22-22000i2−i2000000i2−i2i2−i2−i2i2−i2i200000
χ4744444-2-44-44-24-2-244-200-4-2-2-2-2-2-4-42000044-2-2-2-22020000-400222200000000000000000000000000000000000000
χ4844444-2-4-4-4-4-24-2-244-2004-2-2-222-4-420000-4-4222220-2000040022-2-200000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-24-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-22222-2-21111-2-4-22222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2144-411122-2-2-2-2-2-2-222-1-1-1-1-2-42-2-22222211-1-11111-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4-4-411122-2-2-2222222-1-1-1-1-24222-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2100-4111-2-2222−2i3−2i32i32i3-2-2111120200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2100-4111-2-22222i32i3−2i3−2i3-2-21111202000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2100411122222−2i3−2i32i32i322-1-1-1-120-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-21004111222222i32i3−2i3−2i322-1-1-1-120-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-44440-40-444-4-4-44000-44-400-4440000000000-4000000000-440000000000000000000000000000000000000000
χ5844-4-44-240-4024-22-4-4-20002-2200-44-200000000002000023−230002-200000023−2323−23000000000000000000000000000000
χ5944-4-44-240-4024-22-4-4-20002-2200-44-2000000000020000−23230002-2000000−2323−2323000000000000000000000000000000
χ6044-4-44-2-404024-22-4-4-24-402-22004-424-44-4000000-200-2200000-2200-22-220000000000000000000000000000000000
χ6144-4-44-2-404024-22-4-4-2-4402-22004-42-44-44000000-2002-200000-22002-22-20000000000000000000000000000000000
χ6244-4-4-2440-40-4-24-422-20002-22002-24−2i32i32i3−2i3000000-40000000002-200−2i32i32i3−2i30000000000000000000000000000000000
χ6344-4-4-2440-40-4-24-422-20002-22002-242i3−2i3−2i32i3000000-40000000002-2002i3−2i3−2i32i30000000000000000000000000000000000
χ6444-4-4-24-4040-4-24-422-24-402-2200-22-4-22-220000004004-400000-2200-22-220000000000000000000000000000000000
χ6544-4-4-24-4040-4-24-422-2-4402-2200-22-42-22-2000000400-4400000-22002-22-20000000000000000000000000000000000
χ6644-4-4-2-240-402-2-22221000-11-1002-2-2−2i32i32i3−2i3003i−3i3i−3i2000023−23000-113i−3ii3−i3−i3i3−33−33000000000000000000000000000000
χ6744-4-4-2-240-402-2-22221000-11-1002-2-2−2i32i32i3−2i300−3i3i−3i3i20000−2323000-11−3i3ii3−i3−i3i33−33−3000000000000000000000000000000
χ6844-4-4-2-240-402-2-22221000-11-1002-2-22i3−2i3−2i32i3003i−3i3i−3i20000−2323000-113i−3i−i3i3i3−i33−33−3000000000000000000000000000000
χ6944-4-4-2-240-402-2-22221000-11-1002-2-22i3−2i3−2i32i300−3i3i−3i3i2000023−23000-11−3i3i−i3i3i3−i3−33−33000000000000000000000000000000
χ7044-4-4-2-2-40402-2-222214-40-11-100-222-22-22003i−3i3i−3i-200-22000001-1−3i3i1-11-1−3i3i3i−3i000000000000000000000000000000
χ7144-4-4-2-2-40402-2-222214-40-11-100-222-22-2200−3i3i−3i3i-200-22000001-13i−3i1-11-13i−3i−3i3i000000000000000000000000000000
χ7244-4-4-2-2-40402-2-22221-440-11-100-2222-22-2003i−3i3i−3i-2002-2000001-1−3i3i-11-113i−3i−3i3i000000000000000000000000000000
χ7344-4-4-2-2-40402-2-22221-440-11-100-2222-22-200−3i3i−3i3i-2002-2000001-13i−3i-11-11−3i3i3i−3i000000000000000000000000000000
χ744-44-444040-44-4-4-44-440004-4-4-440000000-44-4-4440000000000000000000000000000000000000000000000000000
χ754-44-44-2040-4-2-4224-4-2000-2222-20000000-4422-2-20000000000000000000000000000000000000006−6−66000000000
χ764-44-44-2040-4-2-4224-4-2000-2222-20000000-4422-2-2000000000000000000000000000000000000000−666−6000000000
χ774-44-44-20-404-2-4224-4-2000-222-2200000004-4-2-2220000000000000000000000000000000−2i22i2000000i2−i2i2−i2000000000
χ784-44-44-20-404-2-4224-4-2000-222-2200000004-4-2-22200000000000000000000000000000002i2−2i2000000−i2i2−i2i2000000000
χ794-44-4-24040-442-4-4-22-2000-222-4400000002-222-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ804-44-4-24040-442-4-4-22-2000-222-4400000002-222-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ814-44-4-240-40442-4-4-22-2000-2224-40000000-22-2-22200000000000000000000004-4-22-22000000000000000000000000
χ824-44-4-240-40442-4-4-22-2000-2224-40000000-22-2-2220000000000000000000000-442-22-2000000000000000000000000
χ834-4-44440000-4-4-44-444000-4-4400000000000000000000000000000000000000000000000000000000002-2-2200000
χ844-4-44440000-4-4-44-444000-4-440000000000000000000000000000000000000000000000000000000000-222-200000
χ858-88-8-4-4080-8-4444-4420002-2-24-400000004-4-2-2220000000000000000000000000000000000000000000000000000
χ868-88-8-4-40-808-4444-4420002-2-2-440000000-4422-2-20000000000000000000000000000000000000000000000000000
χ878-8-888-400004-84-4-88-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-480000-84-884-4-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40000444-44-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ908-8-88-4-40000444-44-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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