Finite Group Databasebeta

← Group #11792410

Character table — Group #11792410

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order12442223344466666612121212121212122234466666666666666666666666666612121212121212121212121212121212121212121212121212121212244466888812121212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ611111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1
χ711111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ922222222-1222222-1-1-1-1-1-1-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-1000000000000
χ1022222222-1222222-1-1-1-1-1-1-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2110000111111000000000000
χ1122222222-1222222-1-1-1-1-1-1-12222-2-2-1-2-222-2-2-2-2-1-11111-1-1-1-1-1-111111111-122-2-2-2-2-1-11111-1-1-1-1-1-1-1-11111111122-2-2-1-100001111-1-1000000000000
χ1222222222-1222222-1-1-1-1-1-1-12222-2-2-1-2-222-2-2-2-2-1-11111-1-1-1-1-1-111111111-122-2-2-2-2-1-11111-1-1-1-1-1-1-1-111111111-2-222110000-1-1-1-111000000000000
χ132222222-12222-1-1-12222222-1-1-1-122-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-10000
χ142222222-12222-1-1-12222222-1-1-1-122-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000111111110000
χ152222222-12222-1-1-12222222-1-1-1-1-2-2-1-2-2-1-1111122-2-2-2-2-1-1-1-1-1-111111111-1-1-1111122-2-2-2-2-1-1-1-1-1-1-1-11111111100000022-2-2000000-1-1-1-111110000
χ162222222-12222-1-1-12222222-1-1-1-1-2-2-1-2-2-1-1111122-2-2-2-2-1-1-1-1-1-111111111-1-1-1111122-2-2-2-2-1-1-1-1-1-1-1-111111111000000-2-2220000001111-1-1-1-10000
χ1722222-2-222-2-22222-2-2222-2-2222200200-2-200002-2000022-2-2-2-2000000002-2-200002-200002222-2-2-2-200000000000000002-2000000000022-2-20000
χ1822222-2-222-2-22222-2-2222-2-2222200200-2-200002-2000022-2-2-2-2000000002-2-200002-200002222-2-2-2-20000000000000000-220000000000-2-2220000
χ1922222-2-2-12-2-22-1-1-1-2-2222-2-2-1-1-1-100-10011−i3−i3i3i32-20000-1-11111−i3−i3−i3−i3i3i3i3i3-111−i3−i3i3i32-20000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3000000002-2000000−i3−i3i3i3-1-1110000
χ2022222-2-2-12-2-22-1-1-1-2-2222-2-2-1-1-1-100-10011−i3−i3i3i32-20000-1-11111−i3−i3−i3−i3i3i3i3i3-111−i3−i3i3i32-20000-1-1-1-11111−i3−i3−i3−i3i3i3i3i300000000-22000000i3i3−i3−i311-1-10000
χ2122222-2-2-12-2-22-1-1-1-2-2222-2-2-1-1-1-100-10011i3i3−i3−i32-20000-1-11111i3i3i3i3−i3−i3−i3−i3-111i3i3−i3−i32-20000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3000000002-2000000i3i3−i3−i3-1-1110000
χ2222222-2-2-12-2-22-1-1-1-2-2222-2-2-1-1-1-100-10011i3i3−i3−i32-20000-1-11111i3i3i3i3−i3−i3−i3−i3-111i3i3−i3−i32-20000-1-1-1-11111i3i3i3i3−i3−i3−i3−i300000000-22000000−i3−i3i3i311-1-10000
χ232222-22-2222-2-2-2-22222222222-2-2002002-20000-2-20000-2-222-2-20000000022-20000-2-2000022-2-222-2-200000000002-200000022-2-200000000000000
χ242222-22-2222-2-2-2-22222222222-2-2002002-20000-2-20000-2-222-2-20000000022-20000-2-2000022-2-222-2-20000000000-22000000-2-22200000000000000
χ252222-22-22-12-2-2-2-22-1-1-1-1-1-1-122-2-200-1002-2000011−i3−i3i3i311-1-111−i3−i3i3i3−i3−i3i3i3-12-2000011−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i3002-2−i3i30000-1-111−i3i3000000000000
χ262222-22-22-12-2-2-2-22-1-1-1-1-1-1-122-2-200-1002-2000011−i3−i3i3i311-1-111−i3−i3i3i3−i3−i3i3i3-12-2000011−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i300-22i3−i3000011-1-1i3−i3000000000000
χ272222-22-22-12-2-2-2-22-1-1-1-1-1-1-122-2-200-1002-2000011i3i3−i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-12-2000011i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i3002-2i3−i30000-1-111i3−i3000000000000
χ282222-22-22-12-2-2-2-22-1-1-1-1-1-1-122-2-200-1002-2000011i3i3−i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-12-2000011i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i300-22−i3i3000011-1-1−i3i3000000000000
χ292222-2-2222-22-2-2-22-2-2222-2-222-2-200200-220000-220000-2-2-2-222000000002-220000-22000022-2-2-2-22200000000000000000000000000000000002-2
χ302222-2-2222-22-2-2-22-2-2222-2-222-2-200200-220000-220000-2-2-2-222000000002-220000-22000022-2-2-2-2220000000000000000000000000000000000-22
χ3122-2-222222-2-2-2222222-2-2-2-2-2-2-2-2222-2-2222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ3222-2-222222-2-2-2222222-2-2-2-2-2-2-2-2-2-222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22-2-22222-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ3322-2-22222-1-2-2-2222-1-1-11111-2-2-2-222-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111111111110000−i3i30000−i3i3−i3i3i3−i3000000000000
χ3422-2-22222-1-2-2-2222-1-1-11111-2-2-2-222-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111111111110000i3−i30000i3−i3i3−i3−i3i3000000000000
χ3522-2-22222-1-2-2-2222-1-1-11111-2-2-2-2-2-2-12222-2-2-2-2-1-11111-1-1-1-1-1-111111111-1-2-2222211-1-1-1-111111111-1-1-1-1-1-1-1-10000−i3i30000i3−i3i3−i3i3−i3000000000000
χ3622-2-22222-1-2-2-2222-1-1-11111-2-2-2-2-2-2-12222-2-2-2-2-1-11111-1-1-1-1-1-111111111-1-2-2222211-1-1-1-111111111-1-1-1-1-1-1-1-10000i3−i30000−i3i3−i3i3−i3i3000000000000
χ3722-2-2222-12-2-2-2-1-1-1222-2-2-2-2111122-1-2-2-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111111100000000000000003−33−33−33−30000
χ3822-2-2222-12-2-2-2-1-1-1222-2-2-2-2111122-1-2-2-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-2-2-2-2-2-211111111111111110000000000000000−33−33−33−330000
χ3922-2-2222-12-2-2-2-1-1-1222-2-2-2-21111-2-2-122-1-1111122-2-2-2-2-1-1-1-1-1-111111111-111-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-100000000000000003−33−3−33−330000
χ4022-2-2222-12-2-2-2-1-1-1222-2-2-2-21111-2-2-122-1-1111122-2-2-2-2-1-1-1-1-1-111111111-111-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-10000000000000000−33−333−33−30000
χ4122-2-22-2-22222-2222-2-22-2-222-2-2-2-200200-2-200002-2000022-2-2-2-2000000002220000-220000-2-2-2-22222000000000000002i−2i000000002i−2i−2i2i00000000
χ4222-2-22-2-22222-2222-2-22-2-222-2-2-2-200200-2-200002-2000022-2-2-2-2000000002220000-220000-2-2-2-2222200000000000000−2i2i00000000−2i2i2i−2i00000000
χ4322-2-22-2-2-1222-2-1-1-1-2-22-2-222111100-10011−i3−i3i3i32-20000-1-11111−i3−i3−i3−i3i3i3i3i3-1-1-1i3i3−i3−i3-2200001111-1-1-1-1i3i3i3i3−i3−i3−i3−i30000002i−2i00000000−iii−i3−3−330000
χ4422-2-22-2-2-1222-2-1-1-1-2-22-2-222111100-10011−i3−i3i3i32-20000-1-11111−i3−i3−i3−i3i3i3i3i3-1-1-1i3i3−i3−i3-2200001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3000000−2i2i00000000i−i−ii−333−30000
χ4522-2-22-2-2-1222-2-1-1-1-2-22-2-222111100-10011i3i3−i3−i32-20000-1-11111i3i3i3i3−i3−i3−i3−i3-1-1-1−i3−i3i3i3-2200001111-1-1-1-1−i3−i3−i3−i3i3i3i3i30000002i−2i00000000−iii−i−333−30000
χ4622-2-22-2-2-1222-2-1-1-1-2-22-2-222111100-10011i3i3−i3−i32-20000-1-11111i3i3i3i3−i3−i3−i3−i3-1-1-1−i3−i3i3i3-2200001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3000000−2i2i00000000i−i−ii3−3−330000
χ4722-2-2-22-222-222-2-22222-2-2-2-2-2-222002002-20000-2-20000-2-222-2-2000000002-220000220000-2-222-2-222000000002-2002200000000-2-2000000000000
χ4822-2-2-22-222-222-2-22222-2-2-2-2-2-222002002-20000-2-20000-2-222-2-2000000002-220000220000-2-222-2-22200000000-2200-2-20000000022000000000000
χ4922-2-2-22-22-1-222-2-22-1-1-11111-2-22200-1002-2000011−i3−i3i3i311-1-111−i3−i3i3i3−i3−i3i3i3-1-220000-1-1i3i3−i3−i311-1-111-1-1i3i3−i3−i3i3i3−i3−i32-200-1-10000−i3i3i3−i311000000000000
χ5022-2-2-22-22-1-222-2-22-1-1-11111-2-22200-1002-2000011−i3−i3i3i311-1-111−i3−i3i3i3−i3−i3i3i3-1-220000-1-1i3i3−i3−i311-1-111-1-1i3i3−i3−i3i3i3−i3−i3-2200110000i3−i3−i3i3-1-1000000000000
χ5122-2-2-22-22-1-222-2-22-1-1-11111-2-22200-1002-2000011i3i3−i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-1-220000-1-1−i3−i3i3i311-1-111-1-1−i3−i3i3i3−i3−i3i3i32-200-1-10000i3−i3−i3i311000000000000
χ5222-2-2-22-22-1-222-2-22-1-1-11111-2-22200-1002-2000011i3i3−i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-1-220000-1-1−i3−i3i3i311-1-111-1-1−i3−i3i3i3−i3−i3i3i3-2200110000−i3i3i3−i3-1-1000000000000
χ5322-2-2-2-22222-22-2-22-2-22-2-222-2-22200200-220000-220000-2-2-2-2220000000022-200002-20000-2-22222-2-2000000000000000000000000000000002-200
χ5422-2-2-2-22222-22-2-22-2-22-2-222-2-22200200-220000-220000-2-2-2-2220000000022-200002-20000-2-22222-2-200000000000000000000000000000000-2200
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-244144-2-2-2-2-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-4-2-22222-2-22222111111-1-1-1-1-1-1-1-11-2-22222-2-2222211111111-1-1-1-1-1-1-1-10000000000000000000000000000
χ5744444-4-44-2-4-4444422-2-2-222444400-200-4-40000-220000-2-2222200000000-2-4-40000-220000-2-2-2-22222000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-222-2-2-222-2-2-2-20010022−2i3−2i32i32i3-22000011-1-1-1-1i3i3i3i3−i3−i3−i3−i3122−2i3−2i32i32i3-2200001111-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-222-2-2-222-2-2-2-200100222i32i3−2i3−2i3-22000011-1-1-1-1−i3−i3−i3−i3i3i3i3i31222i32i3−2i3−2i3-2200001111-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ604444-44-4-244-4-422-24444444-2-22200-200-220000-4-4000022-2-22200000000-2-220000-4-40000-2-222-2-222000000000000000000000000000000000000
χ614444-44-4-2-24-4-422-2-2-2-2-2-2-2-2-2-22200100-22000022−2i3−2i32i32i3-1-111-1-1i3i3−i3−i3i3i3−i3−i31-22000022−2i3−2i32i32i311-1-111-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ624444-44-4-2-24-4-422-2-2-2-2-2-2-2-2-2-22200100-220000222i32i3−2i3−2i3-1-111-1-1−i3−i3i3i3−i3−i3i3i31-220000222i32i3−2i3−2i311-1-111-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ634444-4-444-2-44-4-4-4422-2-2-22244-4-400-200-4400002-200002222-2-200000000-2-4400002-20000-2-22222-2-2000000000000000000000000000000000000
χ644444-4-44-24-44-422-2-4-4444-4-4-2-22200-2002-20000-4400002222-2-200000000-22-20000-440000-2-22222-2-2000000000000000000000000000000000000
χ654444-4-44-2-2-44-422-222-2-2-222-2-222001002-200002-20000-1-1-1-11133-3-3-3-33312-200002-2000011-1-1-1-11133-3-3-3-3330000000000000000000000000000
χ664444-4-44-2-2-44-422-222-2-2-222-2-222001002-200002-20000-1-1-1-111-3-33333-3-312-200002-2000011-1-1-1-111-3-33333-3-30000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-2-2-2-2-222222222441-4-4-2-2-2-2-2-2-2-2-2-2-2-2111111111111111222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-2-2-222222222-4-4144-2-22222-2-22222111111-1-1-1-1-1-1-1-1122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000000000000000
χ6944-4-44-4-44-244-444422-222-2-2-4-4-4-400-200-4-40000-220000-2-2222200000000-24400002-200002222-2-2-2-2000000000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-2-2-222-222-2-222220010022−2i3−2i32i32i3-22000011-1-1-1-1i3i3i3i3−i3−i3−i3−i31-2-22i32i3−2i3−2i32-20000-1-1-1-11111−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-2-222-222-2-2222200100222i32i3−2i3−2i3-22000011-1-1-1-1−i3−i3−i3−i3i3i3i3i31-2-2−2i3−2i32i32i32-20000-1-1-1-11111i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.