Finite Group Databasebeta

← Group #11780259

Character table — Group #11780259

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order12223344446666663444666121212121212121212121212121212124121212121212121212121212121212121212121244121212122446688121212122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1
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
χ511111111111111111-1-111111-1-1-1-111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ611111111111111111-1-111111-1-1-1-111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ711111111111111111-1-111111-1-1-1-111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111
χ811111111111111111-1-111111-1-1-1-111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-22-2222222222-22222222222-2-2-2-2-2-2-2-22-2-2-222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ102222222-22-22222222-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-22222000000000000000000000000000000
χ11222222-22-22222222200-2222-20000-2-222222222-20-2-2000000-2-2-2-200000000222222-200-2-20000000000000000000
χ12222222-22-22222222200-2222-20000-2-222222222-20-2-2000000-2-2-2-200000000-2-2-2-2-2-2200220000000000000000000
χ13222222-2-2-2-22222222002222-20000-2-2-2-2-2-2-2-2-2-2-2022000000-2-2220000000000000002-2000022-2-20000000000000
χ14222222-2-2-2-22222222002222-20000-2-2-2-2-2-2-2-2-2-2-2022000000-2-222000000000000000-220000-2-2220000000000000
χ1522222-1222222-1-12-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-100-1-1-1-10000000000000
χ1622222-1222222-1-12-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2110011110000000000000
χ1722222-1222222-1-12-1-1-2-22-1-1-121111-1-122-1-1-1-1-1-12-22-1-2-2-2-211-1-1-1-11111111122-1-1-1-12-2-2-1-10011110000000000000
χ1822222-1222222-1-12-1-1-2-22-1-1-121111-1-122-1-1-1-1-1-12-22-1-2-2-2-211-1-1-1-111111111-2-21111-2221100-1-1-1-10000000000000
χ1922222-12-22-222-1-12-1-122-2-1-1-12-1-1-1-1-1-1-2-21111112-2-2122-2-211-1-111-1-1-1-1111100−i3−i3i3i3000−i3i300−i3i3−i3i30000000000000
χ2022222-12-22-222-1-12-1-122-2-1-1-12-1-1-1-1-1-1-2-21111112-2-2122-2-211-1-111-1-1-1-1111100i3i3−i3−i3000i3−i300i3−i3i3−i30000000000000
χ2122222-12-22-222-1-12-1-1-2-2-2-1-1-121111-1-1-2-211111122-21-2-222-1-1-1-1111111-1-1-1-100−i3−i3i3i3000−i3i300i3−i3i3−i30000000000000
χ2222222-12-22-222-1-12-1-1-2-2-2-1-1-121111-1-1-2-211111122-21-2-222-1-1-1-1111111-1-1-1-100i3i3−i3−i3000i3−i300−i3i3−i3i30000000000000
χ2322222-1-22-2222-1-12-1-100-2-1-1-1-2−i3−i3i3i31122-1-1-1-1-1-1-20-210000−i3i31111−i3−i3i3i3−i3−i3i3i322-1-1-1-1-2001100−i3i3i3−i30000000000000
χ2422222-1-22-2222-1-12-1-100-2-1-1-1-2−i3−i3i3i31122-1-1-1-1-1-1-20-210000−i3i31111−i3−i3i3i3−i3−i3i3i3-2-21111200-1-100i3−i3−i3i30000000000000
χ2522222-1-22-2222-1-12-1-100-2-1-1-1-2i3i3−i3−i31122-1-1-1-1-1-1-20-210000i3−i31111i3i3−i3−i3i3i3−i3−i322-1-1-1-1-2001100i3−i3−i3i30000000000000
χ2622222-1-22-2222-1-12-1-100-2-1-1-1-2i3i3−i3−i31122-1-1-1-1-1-1-20-210000i3−i31111i3i3−i3−i3i3i3−i3−i3-2-21111200-1-100−i3i3i3−i30000000000000
χ2722222-1-2-2-2-222-1-12-1-1002-1-1-1-2−i3−i3i3i311-2-2111111-202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i302-2i3−i300-1-1110000000000000
χ2822222-1-2-2-2-222-1-12-1-1002-1-1-1-2−i3−i3i3i311-2-2111111-202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i30-22−i3i30011-1-10000000000000
χ2922222-1-2-2-2-222-1-12-1-1002-1-1-1-2i3i3−i3−i311-2-2111111-202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i30-22i3−i30011-1-10000000000000
χ3022222-1-2-2-2-222-1-12-1-1002-1-1-1-2i3i3−i3−i311-2-2111111-202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i302-2−i3i300-1-1110000000000000
χ312222-122222-1-122-12-1222-1-1-1-1222222-1-122-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000220000-1-1-1-100002-1-100
χ322222-122222-1-122-12-1222-1-1-1-1222222-1-122-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2000011110000-21100
χ332222-122222-1-122-12-1-2-22-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-2-121111-2-2-1-1-1-11111111100000000000220000-1-1-1-10000-21100
χ342222-122222-1-122-12-1-2-22-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-2-121111-2-2-1-1-1-11111111100000000000-2-20000111100002-1-100
χ352222-122-22-2-1-122-12-122-2-1-1-1-122222211-2-21111-1-21-2-1-111-2-2-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ362222-122-22-2-1-122-12-122-2-1-1-1-122222211-2-21111-1-21-2-1-111-2-2-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ372222-122-22-2-1-122-12-1-2-2-2-1-1-1-1-2-2-2-22211-2-21111-121-211-1-122-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-122-22-2-1-122-12-1-2-2-2-1-1-1-1-2-2-2-22211-2-21111-121-211-1-122-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ392-22-222-20202-2-22-2-222i−2i0-22-2-22i−2i2i−2i2-20000000020002i−2i00002-2002i−2i2i−2i000000000000000000000000022−2−2000−i2i2
χ402-22-222-20202-2-22-2-222i−2i0-22-2-22i−2i2i−2i2-20000000020002i−2i00002-2002i−2i2i−2i0000000000000000000000000−2−222000i2−i2
χ412-22-222-20202-2-22-2-22−2i2i0-22-2-2−2i2i−2i2i2-2000000002000−2i2i00002-200−2i2i−2i2i000000000000000000000000022−2−2000i2−i2
χ422-22-222-20202-2-22-2-22−2i2i0-22-2-2−2i2i−2i2i2-2000000002000−2i2i00002-200−2i2i−2i2i0000000000000000000000000−2−222000−i2i2
χ432-2-2222020-2-2-2-2-22220002-2-200000002-22-222-2-200000000000000000000002i−2i2i−2i2i−2i00000−i2i20000−i2i2−i2i22−22−200000
χ442-2-2222020-2-2-2-2-22220002-2-200000002-22-222-2-200000000000000000000002i−2i2i−2i2i−2i00000i2−i20000i2−i2i2−i2−22−2200000
χ452-2-2222020-2-2-2-2-22220002-2-200000002-22-222-2-20000000000000000000000−2i2i−2i2i−2i2i00000−i2i20000−i2i2−i2i2−22−2200000
χ462-2-2222020-2-2-2-2-22220002-2-200000002-22-222-2-20000000000000000000000−2i2i−2i2i−2i2i00000i2−i20000i2−i2i2−i22−22−200000
χ474444-24-44-44-2-244-24-200-4-2-2-220000-4-4-2-244-2-2-2-2202-4000000222200000000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-24-2004-2-2-220000-4-422-4-4222220-2400000022-2-200000000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-21-4-44111-22222-2-2-2-2-2-21111-2-4-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2144-4111-2-2-2-2-2-2-22222-1-1-1-1-2-422-2-2222211-1-11111-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4-4-4111-22222-2-22222-1-1-1-1-242222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2100-41112−2i3−2i32i32i322-2-2-2-2111120220000−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2100-411122i32i3−2i3−2i322-2-2-2-21111202200002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-210041112−2i3−2i32i32i3222222-1-1-1-120-2-200002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2100411122i32i3−2i3−2i3222222-1-1-1-120-2-20000−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-4440000-444-4-4-44000-4-4400000000000000000000000000000000000000000000000000000000002-2-2200000
χ5844-4-4440000-444-4-4-44000-4-440000000000000000000000000000000000000000000000000000000000-222-200000
χ594-44-44440-404-4-44-4-44000-44-440000-4400000000-4000000000-440000000000000000000000000000000000000000
χ604-44-44-240-404-42-2-42-20002-22423−23−23232-200000000-40000000002-20023−23−23230000000000000000000000000000000000
χ614-44-44-240-404-42-2-42-20002-224−232323−232-200000000-40000000002-200−232323−230000000000000000000000000000000000
χ624-44-44-2-40404-42-2-42-24i−4i02-22-4−2i2i−2i2i-220000000040004i−4i0000-2200−2i2i−2i2i0000000000000000000000000000000000
χ634-44-44-2-40404-42-2-42-2−4i4i02-22-42i−2i2i−2i-22000000004000−4i4i0000-22002i−2i2i−2i0000000000000000000000000000000000
χ644-44-4-2440-40-22-442-4-20002-22-20000-4400000000200000−2i32i3002-2000000−2i32i3−2i32i3000000000000000000000000000000
χ654-44-4-2440-40-22-442-4-20002-22-20000-44000000002000002i3−2i3002-20000002i3−2i32i3−2i3000000000000000000000000000000
χ664-44-4-24-4040-22-442-4-24i−4i02-2224i−4i4i−4i4-400000000-2000−2i2i0000-2200−2i2i−2i2i0000000000000000000000000000000000
χ674-44-4-24-4040-22-442-4-2−4i4i02-222−4i4i−4i4i4-400000000-20002i−2i0000-22002i−2i2i−2i0000000000000000000000000000000000
χ684-44-4-2-240-40-222-2221000-11-1-223−23−23232-200003i−3i3i−3i200000−2i32i300-113i−3i−333−3i3−i3i3−i3000000000000000000000000000000
χ694-44-4-2-240-40-222-2221000-11-1-223−23−23232-20000−3i3i−3i3i2000002i3−2i300-11−3i3i−333−3−i3i3−i3i3000000000000000000000000000000
χ704-44-4-2-240-40-222-2221000-11-1-2−232323−232-200003i−3i3i−3i2000002i3−2i300-113i−3i3−3−33−i3i3−i3i3000000000000000000000000000000
χ714-44-4-2-240-40-222-2221000-11-1-2−232323−232-20000−3i3i−3i3i200000−2i32i300-11−3i3i3−3−33i3−i3i3−i3000000000000000000000000000000
χ724-44-4-2-2-4040-222-22214i−4i0-11-12−2i2i−2i2i-2200003i−3i3i−3i-2000−2i2i00001-1−3i3ii−ii−i-333-3000000000000000000000000000000
χ734-44-4-2-2-4040-222-22214i−4i0-11-12−2i2i−2i2i-220000−3i3i−3i3i-2000−2i2i00001-13i−3ii−ii−i3-3-33000000000000000000000000000000
χ744-44-4-2-2-4040-222-2221−4i4i0-11-122i−2i2i−2i-2200003i−3i3i−3i-20002i−2i00001-1−3i3i−ii−ii3-3-33000000000000000000000000000000
χ754-44-4-2-2-4040-222-2221−4i4i0-11-122i−2i2i−2i-220000−3i3i−3i3i-20002i−2i00001-13i−3i−ii−ii-333-3000000000000000000000000000000
χ764-4-44440-404-4-4-4-44440004-4-40000000-44-44-4-4440000000000000000000000000000000000000000000000000000
χ774-4-444-2040-4-4-4224-2-2000-22200000004-4-22-2-22200000000000000000000004i−4i−2i2i−2i2i000000000000000000000000
χ784-4-444-2040-4-4-4224-2-2000-22200000004-4-22-2-2220000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000
χ794-4-444-20-404-4-4224-2-2000-2220000000-442-222-2-200000000000000000000000023−23−2323000000000000000000000000
χ804-4-444-20-404-4-4224-2-2000-2220000000-442-222-2-2000000000000000000000000−232323−23000000000000000000000000
χ814-4-44-24040-422-4-4-24-2000-2220000000-224-4-2-222000000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ824-4-44-24040-422-4-4-24-2000-2220000000-224-4-2-2220000000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ834-4-44-240-40422-4-4-24-2000-22200000002-2-4422-2-20000000000000000000000000000000000000006−6−66000000000
χ844-4-44-240-40422-4-4-24-2000-22200000002-2-4422-2-2000000000000000000000000000000000000000−666−6000000000
χ8588-8-88-40000-88-44-84-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4800004-48-84-8-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400004-4-44442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-4-44442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-8-88-4-4080-84444-4-420002-2-20000000-44-4422-2-20000000000000000000000000000000000000000000000000000
χ908-8-88-4-40-8084444-4-420002-2-200000004-44-4-2-2220000000000000000000000000000000000000000000000000000

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