Finite Group Databasebeta

← Group #11808251

Character table — Group #11808251

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121222222222444444666666661212121266661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ17222222222-12222-1-1-12-1-12-1-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222002222000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-12-1-12-1-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-2-2-20000000000001111111100000000
χ19222222222-12222-1-1-12-1-12-1-1200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-111111111000022-2-20022-2-2000000000000-1-111-1-11100000000
χ20222222222-12222-1-1-12-1-12-1-1200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-1111111110000-2-22200-2-22200000000000011-1-111-1-100000000
χ21222222222-12222-1-1-12-1-12-1-1200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-111110000222200-2-2-2-2000000000000-1-1-1-1111100000000
χ22222222222-12222-1-1-12-1-12-1-1200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-111110000-2-2-2-20022220000000000001111-1-1-1-100000000
χ23222222222-12222-1-1-12-1-12-1-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-1000022-2-200-2-222000000000000-1-11111-1-100000000
χ24222222222-12222-1-1-12-1-12-1-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-10000-2-2220022-2-200000000000011-1-1-1-11100000000
χ2522222222-12-1-1-1-1222-122-122-122222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122220000220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1222-122-122-122222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2-2-2000022000011111111-1-1-1-10000000000000000
χ2722222222-12-1-1-1-1222-122-122-122222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111122-2-20000-2-20000-1-1-1-1111111110000000000000000
χ2822222222-12-1-1-1-1222-122-122-122222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-2220000-2-200001111-1-1-1-111110000000000000000
χ2922222222-12-1-1-1-1222-122-122-1-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-200001111111111110000000000000000
χ3022222222-12-1-1-1-1222-122-122-1-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-11111111122220000-2-20000-1-1-1-1-1-1-1-111110000000000000000
χ3122222222-12-1-1-1-1222-122-122-1-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-21111-1-1-1-11111-2-22200002200001111-1-1-1-1-1-1-1-10000000000000000
χ3222222222-12-1-1-1-1222-122-122-1-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-22211111111-1-1-1-122-2-20000220000-1-1-1-11111-1-1-1-10000000000000000
χ332222-2-2-2-22222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i22-2000022-2-2-22-222-2-2000000002i2i2i2i−2i−2i−2i−2i2-2000022-2-200000000000000002i−2i0000000000002i2i−2i−2i0000000000000000
χ342222-2-2-2-22222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i2-22000022-2-2-22-2-2-222000000002i2i2i2i−2i−2i−2i−2i-220000-2-2220000000000000000−2i2i000000000000−2i−2i2i2i0000000000000000
χ352222-2-2-2-22222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i22-2000022-2-2-22-222-2-200000000−2i−2i−2i−2i2i2i2i2i2-2000022-2-20000000000000000−2i2i000000000000−2i−2i2i2i0000000000000000
χ362222-2-2-2-22222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2-22000022-2-2-22-2-2-22200000000−2i−2i−2i−2i2i2i2i2i-220000-2-22200000000000000002i−2i0000000000002i2i−2i−2i0000000000000000
χ372222-2-2-2-2-12-1-111-2-2-2-12-212212i2i2i2i−2i−2i−2i−2i-12-20000-1-1111-11-1-11133−3−333−3−3−i−i−i−iiiii2-20000-1-11133−3−333−3−3000000002i−2i0000−i3−i3i3i3−i3−i3i3i3−i−iii0000000000000000
χ382222-2-2-2-2-12-1-111-2-2-2-12-212212i2i2i2i−2i−2i−2i−2i-12-20000-1-1111-11-1-111−3−333−3−333−i−i−i−iiiii2-20000-1-111−3−333−3−333000000002i−2i0000i3i3−i3−i3i3i3−i3−i3−i−iii0000000000000000
χ392222-2-2-2-2-12-1-111-2-2-2-12-212212i2i2i2i−2i−2i−2i−2i-1-220000-1-1111-1111-1-133−3−3−3−333−i−i−i−iiiii-22000011-1-133−3−3−3−33300000000−2i2i0000−i3−i3i3i3i3i3−i3−i3ii−i−i0000000000000000
χ402222-2-2-2-2-12-1-111-2-2-2-12-212212i2i2i2i−2i−2i−2i−2i-1-220000-1-1111-1111-1-1−3−33333−3−3−i−i−i−iiiii-22000011-1-1−3−33333−3−300000000−2i2i0000i3i3−i3−i3−i3−i3i3i3ii−i−i0000000000000000
χ412222-2-2-2-2-12-1-111-2-2-2-12-21221−2i−2i−2i−2i2i2i2i2i-12-20000-1-1111-11-1-11133−3−333−3−3iiii−i−i−i−i2-20000-1-11133−3−333−3−300000000−2i2i0000i3i3−i3−i3i3i3−i3−i3ii−i−i0000000000000000
χ422222-2-2-2-2-12-1-111-2-2-2-12-21221−2i−2i−2i−2i2i2i2i2i-12-20000-1-1111-11-1-111−3−333−3−333iiii−i−i−i−i2-20000-1-111−3−333−3−33300000000−2i2i0000−i3−i3i3i3−i3−i3i3i3ii−i−i0000000000000000
χ432222-2-2-2-2-12-1-111-2-2-2-12-21221−2i−2i−2i−2i2i2i2i2i-1-220000-1-1111-1111-1-133−3−3−3−333iiii−i−i−i−i-22000011-1-133−3−3−3−333000000002i−2i0000i3i3−i3−i3−i3−i3i3i3−i−iii0000000000000000
χ442222-2-2-2-2-12-1-111-2-2-2-12-21221−2i−2i−2i−2i2i2i2i2i-1-220000-1-1111-1111-1-1−3−33333−3−3iiii−i−i−i−i-22000011-1-1−3−33333−3−3000000002i−2i0000−i3−i3i3i3i3i3−i3−i3−i−iii0000000000000000
χ4522-2-22-2-2222-2-2-2-22-2-22222-2-2222-2-222-2-22002-200-2-22-2-22200002-22-2000022-2-222-2-2002-20000002-22-200002-20000000000002-22-2000000000000000000000000
χ4622-2-22-2-2222-2-2-2-22-2-22222-2-2222-2-222-2-2200-2200-2-22-2-2220000-22-22000022-2-222-2-200-22000000-22-220000-22000000000000-22-22000000000000000000000000
χ4722-2-22-2-2222-2-2-2-22-2-22222-2-22-2-222-2-2222002-200-2-22-2-22200002-22-20000-2-222-2-222002-20000002-22-20000-22000000000000-22-22000000000000000000000000
χ4822-2-22-2-2222-2-2-2-22-2-22222-2-22-2-222-2-222200-2200-2-22-2-2220000-22-220000-2-222-2-22200-22000000-22-2200002-20000000000002-22-2000000000000000000000000
χ4922-2-22-2-22-1211112-2-2-122-1-2-2-122-2-222-2-2-1002-20011-111-1-1−i3i3−i3i3-11-11−i3i3−i3i3-1-111-1-111002-200−i3i3−i3i3-11-11−i3i3−i3i32-2000000000000-11-11−i3i3−i3i3−i3i3−i3i30000000000000000
χ5022-2-22-2-22-1211112-2-2-122-1-2-2-122-2-222-2-2-1002-20011-111-1-1i3−i3i3−i3-11-11i3−i3i3−i3-1-111-1-111002-200i3−i3i3−i3-11-11i3−i3i3−i32-2000000000000-11-11i3−i3i3−i3i3−i3i3−i30000000000000000
χ5122-2-22-2-22-1211112-2-2-122-1-2-2-122-2-222-2-2-100-220011-111-1-1−i3i3−i3i31-11-1i3−i3i3−i3-1-111-1-11100-2200−i3i3−i3i31-11-1i3−i3i3−i3-220000000000001-11-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ5222-2-22-2-22-1211112-2-2-122-1-2-2-122-2-222-2-2-100-220011-111-1-1i3−i3i3−i31-11-1−i3i3−i3i3-1-111-1-11100-2200i3−i3i3−i31-11-1−i3i3−i3i3-220000000000001-11-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ5322-2-22-2-22-1211112-2-2-122-1-2-2-1-2-222-2-222-1002-20011-111-1-1−i3i3−i3i3-11-11−i3i3−i3i311-1-111-1-1002-200−i3i3−i3i3-11-11−i3i3−i3i3-220000000000001-11-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ5422-2-22-2-22-1211112-2-2-122-1-2-2-1-2-222-2-222-1002-20011-111-1-1i3−i3i3−i3-11-11i3−i3i3−i311-1-111-1-1002-200i3−i3i3−i3-11-11i3−i3i3−i3-220000000000001-11-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ5522-2-22-2-22-1211112-2-2-122-1-2-2-1-2-222-2-222-100-220011-111-1-1−i3i3−i3i31-11-1i3−i3i3−i311-1-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i32-2000000000000-11-11−i3i3−i3i3i3−i3i3−i30000000000000000
χ5622-2-22-2-22-1211112-2-2-122-1-2-2-1-2-222-2-222-100-220011-111-1-1i3−i3i3−i31-11-1−i3i3−i3i311-1-111-1-100-2200i3−i3i3−i31-11-1−i3i3−i3i32-2000000000000-11-11i3−i3i3−i3−i3i3−i3i30000000000000000
χ5722-2-2-222-222-2-222-22222-2-2-2-2-22i2i−2i−2i−2i−2i2i2i200002i−2i-2-2-2222-2000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00002i−2i000000002i−2i−2i2i002-2000000000000002-2-2200000000000000000000
χ5822-2-2-222-222-2-222-22222-2-2-2-2-22i2i−2i−2i−2i−2i2i2i20000−2i2i-2-2-2222-200000000−2i2i2i−2i2i2i−2i−2i−2i−2i2i2i0000−2i2i00000000−2i2i2i−2i00-2200000000000000-222-200000000000000000000
χ5922-2-2-222-222-2-222-22222-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i200002i−2i-2-2-2222-2000000002i−2i−2i2i−2i−2i2i2i2i2i−2i−2i00002i−2i000000002i−2i−2i2i00-2200000000000000-222-200000000000000000000
χ6022-2-2-222-222-2-222-22222-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i20000−2i2i-2-2-2222-200000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000−2i2i00000000−2i2i2i−2i002-2000000000000002-2-2200000000000000000000
χ6122-2-2-222-2-1211-1-1-222-12-21-2-212i2i−2i−2i−2i−2i2i2i-100002i−2i111-1-1-11−i3i3i3−i33−3−33−iii−i−i−iiiii−i−i00002i−2i−i3i3i3−i33−3−33−iii−i002-20000000000−i3i3i3−i3-111-13−3−330000000000000000
χ6222-2-2-222-2-1211-1-1-222-12-21-2-212i2i−2i−2i−2i−2i2i2i-100002i−2i111-1-1-11i3−i3−i3i3−333−3−iii−i−i−iiiii−i−i00002i−2ii3−i3−i3i3−333−3−iii−i002-20000000000i3−i3−i3i3-111-1−333−30000000000000000
χ6322-2-2-222-2-1211-1-1-222-12-21-2-212i2i−2i−2i−2i−2i2i2i-10000−2i2i111-1-1-11−i3i3i3−i3−333−3i−i−ii−i−iiiii−i−i0000−2i2i−i3i3i3−i3−333−3i−i−ii00-220000000000i3−i3−i3i31-1-113−3−330000000000000000
χ6422-2-2-222-2-1211-1-1-222-12-21-2-212i2i−2i−2i−2i−2i2i2i-10000−2i2i111-1-1-11i3−i3−i3i33−3−33i−i−ii−i−iiiii−i−i0000−2i2ii3−i3−i3i33−3−33i−i−ii00-220000000000−i3i3i3−i31-1-11−333−30000000000000000
χ6522-2-2-222-2-1211-1-1-222-12-21-2-21−2i−2i2i2i2i2i−2i−2i-100002i−2i111-1-1-11−i3i3i3−i33−3−33−iii−iii−i−i−i−iii00002i−2i−i3i3i3−i33−3−33−iii−i00-220000000000i3−i3−i3i31-1-11−333−30000000000000000
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Here i is the imaginary unit (i² = −1).