Finite Group Databasebeta

← Group #11780023

Character table — Group #11780023

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1222334444666666344466612121212121212121212121212121212412121212121212121212121212121212121212124412121212444881212121212122424242488884121288
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
χ511111111111111111-1-11111111-1-1-1-1111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-11111111-1-1-1-1111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-11111111-1-1-1-1111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111
χ811111111111111111-1-11111111-1-1-1-1111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-22-2222222222-22222222222-2-2-2-2-2-2-2-22-2-222-2-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ102222222-22-22222222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-222-22222-2-2-2-2-2-22222000000000000000000000000000000
χ11222222-22-22222222200-2222-2-2-2000022222222-20-20000-200-2-2-2-200000000222222-20000-2-200000000000000000
χ12222222-22-22222222200-2222-2-2-2000022222222-20-20000-200-2-2-2-200000000-2-2-2-2-2-2200002200000000000000000
χ13222222-2-2-2-22222222002222-2-2-20000-2-2-2-2-2-2-2-2-2020000200-2-2220000000000000002-2000022-2-20000000000000
χ14222222-2-2-2-22222222002222-2-2-20000-2-2-2-2-2-2-2-2-2020000200-2-222000000000000000-220000-2-2220000000000000
χ1522222-1222222-1-12-1-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000000
χ1622222-1222222-1-12-1-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2001111110000000000000
χ1722222-1222222-1-12-1-1-2-22-1-1-12-1-11111-1-122-1-1-1-12-22-2-2-2-2-111-1-1-1-11111111122-1-1-1-12-2-200-1-111110000000000000
χ1822222-1222222-1-12-1-1-2-22-1-1-12-1-11111-1-122-1-1-1-12-22-2-2-2-2-111-1-1-1-111111111-2-21111-2220011-1-1-1-10000000000000
χ1922222-12-22-222-1-12-1-122-2-1-1-12-1-1-1-1-1-111-2-211112-2-222-2-2111-1-111-1-1-1-1111100−i3−i3i3i300000−i3i3−i3i3−i3i30000000000000
χ2022222-12-22-222-1-12-1-122-2-1-1-12-1-1-1-1-1-111-2-211112-2-222-2-2111-1-111-1-1-1-1111100i3i3−i3−i300000i3−i3i3−i3i3−i30000000000000
χ2122222-12-22-222-1-12-1-1-2-2-2-1-1-12-1-1111111-2-2111122-2-2-2221-1-1-1-1111111-1-1-1-100−i3−i3i3i300000−i3i3i3−i3i3−i30000000000000
χ2222222-12-22-222-1-12-1-1-2-2-2-1-1-12-1-1111111-2-2111122-2-2-2221-1-1-1-1111111-1-1-1-100i3i3−i3−i300000i3−i3−i3i3−i3i30000000000000
χ2322222-1-22-2222-1-12-1-100-2-1-1-1-211−i3−i3i3i3-1-122-1-1-1-1-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i322-1-1-1-1-2000011−i3i3i3−i30000000000000
χ2422222-1-22-2222-1-12-1-100-2-1-1-1-211−i3−i3i3i3-1-122-1-1-1-1-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2111120000-1-1i3−i3−i3i30000000000000
χ2522222-1-22-2222-1-12-1-100-2-1-1-1-211i3i3−i3−i3-1-122-1-1-1-1-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i322-1-1-1-1-2000011i3−i3−i3i30000000000000
χ2622222-1-22-2222-1-12-1-100-2-1-1-1-211i3i3−i3−i3-1-122-1-1-1-1-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2111120000-1-1−i3i3i3−i30000000000000
χ2722222-1-2-2-2-222-1-12-1-1002-1-1-1-211−i3−i3i3i311-2-21111-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i302-200i3−i3-1-1110000000000000
χ2822222-1-2-2-2-222-1-12-1-1002-1-1-1-211−i3−i3i3i311-2-21111-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i30-2200−i3i311-1-10000000000000
χ2922222-1-2-2-2-222-1-12-1-1002-1-1-1-211i3i3−i3−i311-2-21111-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i30-2200i3−i311-1-10000000000000
χ3022222-1-2-2-2-222-1-12-1-1002-1-1-1-211i3i3−i3−i311-2-21111-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i302-200−i3i3-1-1110000000000000
χ312222-122222-1-122-12-1222-1-1-1-122222222-1-1-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000022000000-1-1-1-100002-1-100
χ322222-122222-1-122-12-1222-1-1-1-122222222-1-1-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-200000011110000-21100
χ332222-122222-1-122-12-1-2-22-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-2-111112-2-2-1-1-1-11111111100000000022000000-1-1-1-10000-21100
χ342222-122222-1-122-12-1-2-22-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-2-111112-2-2-1-1-1-111111111000000000-2-2000000111100002-1-100
χ352222-122-22-2-1-122-12-122-2-1-1-1-1222222-2-2111111-1-21-1-111-2-2-2-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ362222-122-22-2-1-122-12-122-2-1-1-1-1222222-2-2111111-1-21-1-111-2-2-2-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ372222-122-22-2-1-122-12-1-2-2-2-1-1-1-122-2-2-2-2-2-2111111-12111-1-1-222-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-122-22-2-1-122-12-1-2-2-2-1-1-1-122-2-2-2-2-2-2111111-12111-1-1-222-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ3922-2-22220-202-22-2-2-222-20-22-222-22-22-200000000-2002-2000002-2002-22-2000000000000000000000000022−2−20002−2
χ4022-2-22220-202-22-2-2-222-20-22-222-22-22-200000000-2002-2000002-2002-22-20000000000000000000000000−2−222000−22
χ4122-2-22220-202-22-2-2-22-220-22-222-2-22-2200000000-200-22000002-200-22-22000000000000000000000000022−2−2000−22
χ4222-2-22220-202-22-2-2-22-220-22-222-2-22-2200000000-200-22000002-200-22-220000000000000000000000000−2−2220002−2
χ432-22-2220-202-2-2-222-220002-2-200000002-22-222-2-200000000000000000000002-22-22-2000−i2i2000000−i2i2−i2i2−i2i2−i2i200000
χ442-22-2220-202-2-2-222-220002-2-200000002-22-222-2-200000000000000000000002-22-22-2000i2−i2000000i2−i2i2−i2i2−i2i2−i200000
χ452-22-2220-202-2-2-222-220002-2-200000002-22-222-2-20000000000000000000000-22-22-22000−i2i2000000−i2i2−i2i2i2−i2i2−i200000
χ462-22-2220-202-2-2-222-220002-2-200000002-22-222-2-20000000000000000000000-22-22-22000i2−i2000000i2−i2i2−i2−i2i2−i2i200000
χ474444-24-44-44-2-244-24-200-4-2-2-22-4-4000044-2-2-2-2-2-22020000-400222200000000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-24-2004-2-2-22-4-40000-4-422222220-2000040022-2-200000000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-22222-2-2-2-21111-2-4-22222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2144-4111-2-2-2-2-2-2-22222-1-1-1-1-2-42-2-22222211-1-11111-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4-4-4111-2-2-222222222-1-1-1-1-24222-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2100-4111222−2i3−2i32i32i3-2-2-2-2111120200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2100-41112222i32i3−2i3−2i3-2-2-2-21111202000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-21004111222−2i3−2i32i32i32222-1-1-1-120-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-210041112222i32i3−2i3−2i32222-1-1-1-120-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-444-40404-44-4-4-44000-44-4-4-440000000000004000000000-440000000000000000000000000000000000000000
χ5844-4-44-240-404-4-22-42-24-402-224-22-22-2200000000-4004-400000-2200-22-220000000000000000000000000000000000
χ5944-4-44-240-404-4-22-42-2-4402-224-222-22-200000000-400-4400000-22002-22-20000000000000000000000000000000000
χ6044-4-44-2-40404-4-22-42-20002-22-42-2−2i32i32i3−2i30000000040000000002-200−2i32i32i3−2i30000000000000000000000000000000000
χ6144-4-44-2-40404-4-22-42-20002-22-42-22i3−2i3−2i32i30000000040000000002-2002i3−2i3−2i32i30000000000000000000000000000000000
χ6244-4-4-2440-40-224-42-4-24-402-22-24-44-44-400000000200-2200000-2200-22-220000000000000000000000000000000000
χ6344-4-4-2440-40-224-42-4-2-4402-22-24-4-44-44000000002002-200000-22002-22-20000000000000000000000000000000000
χ6444-4-4-24-4040-224-42-4-20002-222-44000000000000-2000023−230002-200000023−2323−23000000000000000000000000000000
χ6544-4-4-24-4040-224-42-4-20002-222-44000000000000-20000−23230002-2000000−2323−2323000000000000000000000000000000
χ6644-4-4-2-240-40-22-222214-40-11-1-2-22-22-2200003i−3i3i−3i200-22000001-13i−3i1-11-13i−3i−3i3i000000000000000000000000000000
χ6744-4-4-2-240-40-22-222214-40-11-1-2-22-22-220000−3i3i−3i3i200-22000001-1−3i3i1-11-1−3i3i3i−3i000000000000000000000000000000
χ6844-4-4-2-240-40-22-22221-440-11-1-2-222-22-200003i−3i3i−3i2002-2000001-13i−3i-11-11−3i3i3i−3i000000000000000000000000000000
χ6944-4-4-2-240-40-22-22221-440-11-1-2-222-22-20000−3i3i−3i3i2002-2000001-1−3i3i-11-113i−3i−3i3i000000000000000000000000000000
χ7044-4-4-2-2-4040-22-22221000-11-122-2−2i32i32i3−2i300003i−3i3i−3i-20000−2323000-11−3i3ii3−i3−i3i33−33−3000000000000000000000000000000
χ7144-4-4-2-2-4040-22-22221000-11-122-2−2i32i32i3−2i30000−3i3i−3i3i-2000023−23000-113i−3ii3−i3−i3i3−33−33000000000000000000000000000000
χ7244-4-4-2-2-4040-22-22221000-11-122-22i3−2i3−2i32i300003i−3i3i−3i-2000023−23000-11−3i3i−i3i3i3−i3−33−33000000000000000000000000000000
χ7344-4-4-2-2-4040-22-22221000-11-122-22i3−2i3−2i32i30000−3i3i−3i3i-20000−2323000-113i−3i−i3i3i3−i33−33−3000000000000000000000000000000
χ744-44-444040-4-4-4-444-440004-4-40000000-44-44-4-4440000000000000000000000000000000000000000000000000000
χ754-44-44-2040-4-4-42-242-2000-22200000002-2-4422-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ764-44-44-2040-4-4-42-242-2000-22200000002-2-4422-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ774-44-44-20-404-4-42-242-2000-2220000000-224-4-2-22200000000000000000000004-4-22-22000000000000000000000000
χ784-44-44-20-404-4-42-242-2000-2220000000-224-4-2-2220000000000000000000000-442-22-2000000000000000000000000
χ794-44-4-24040-422-44-2-4-2000-2220000000-442-222-2-20000000000000000000000000000000000000006−6−66000000000
χ804-44-4-24040-422-44-2-4-2000-2220000000-442-222-2-2000000000000000000000000000000000000000−666−6000000000
χ814-44-4-240-40422-44-2-4-2000-22200000004-4-22-2-2220000000000000000000000000000000−2i22i2000000i2−i2i2−i2000000000
χ824-44-4-240-40422-44-2-4-2000-22200000004-4-22-2-22200000000000000000000000000000002i2−2i2000000−i2i2−i2i2000000000
χ834-4-44440000-44-4-4-444000-4-4400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ844-4-44440000-44-4-4-444000-4-440000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ858-88-8-4-4080-8444-4-4420002-2-200000004-44-4-2-2220000000000000000000000000000000000000000000000000000
χ868-88-8-4-40-808444-4-4420002-2-20000000-44-4422-2-20000000000000000000000000000000000000000000000000000
χ878-8-888-40000-8844-8-4-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800004-4-8-848-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004-4444-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004-4444-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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