Finite Group Databasebeta

← Group #11808227

Character table — Group #11808227

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444442222344666666666666666121212121212121212121212666666666666121212121212224444444444441212121212121212121212126612121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-11-1-11111-1-1-1-11111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ41111111111111111111111111111111111-1-11-1-11111-1-1-1-11111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ711111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ17222222222-12222-1-1-12-12-1-1-12000000002222-12222222222-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002222000022000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-12-12-1-1-12000000002222-12222222222-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000-2-20000000000001111111100000000
χ19222222222-12222-1-1-12-12-1-1-120000000022-2-2-1-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200000000-1-111-1-1-1-11111111111220022-2-20000-2-2000000000000-1-1-1-1111100000000
χ20222222222-12222-1-1-12-12-1-1-120000000022-2-2-1-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200000000-1-111-1-1-1-11111111111-2-200-2-2220000220000000000001111-1-1-1-100000000
χ21222222222-12222-1-1-12-12-1-1-1200000000-2-222-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-20000000011-1-11111-1-1-1-11111112200-2-2-2-2000022000000000000-1-111-1-11100000000
χ22222222222-12222-1-1-12-12-1-1-1200000000-2-222-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-20000000011-1-11111-1-1-1-1111111-2-20022220000-2-200000000000011-1-111-1-100000000
χ23222222222-12222-1-1-12-12-1-1-1200000000-2-2-2-2-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222200000000111111111111-1-1-1-1-1-12200-2-2220000-2-2000000000000-1-11111-1-100000000
χ24222222222-12222-1-1-12-12-1-1-1200000000-2-2-2-2-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1222200000000111111111111-1-1-1-1-1-1-2-20022-2-200002200000000000011-1-1-1-11100000000
χ2522222222-12-1-1-1-1222-12-1222-1222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-100220000222200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1222-12-1222-12222222222-2-2-1-2-2-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-2-2111100-2-2000022-2-2001111-1-1-1-111110000000000000000
χ2722222222-12-1-1-1-1222-12-1222-122222222-2-222-1-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-2111100-2-20000-2-2220011111111-1-1-1-10000000000000000
χ2822222222-12-1-1-1-1222-12-1222-122222222-2-2-2-2-12211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-100220000-2-2-2-200-1-1-1-1111111110000000000000000
χ2922222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-22222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-122-1-1-1-100-2-20000-2-2-2-2001111111111110000000000000000
χ3022222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-222-2-2-1-2-2-1-1-1-11111-1-1-1-1-1-1-111111111111122-2-2-1-1-1-11111-2-2111100220000-2-22200-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-2-2-222-1-2-21111-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2221111-1-1-1-1-2-211110022000022-2-200-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-1-1-1222-12-1222-1-2-2-2-2-2-2-2-2-2-2-2-2-12211111111-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-21111111122-1-1-1-100-2-200002222001111-1-1-1-1-1-1-1-10000000000000000
χ33222-2-22-2-22222-2-22-2-222-22-2-2-22i2i2i2i−2i−2i−2i−2i000022-20000000022-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i0000000000002-222-2-2002i−2i00000000002i2i−2i−2i000000000000000000000000
χ34222-2-22-2-22222-2-22-2-222-22-2-2-22i2i2i2i−2i−2i−2i−2i00002-220000000022-2-2-2-22-2-2222i2i2i2i−2i−2i−2i−2i000000000000-22-2-22200−2i2i0000000000−2i−2i2i2i000000000000000000000000
χ35222-2-22-2-22222-2-22-2-222-22-2-2-2−2i−2i−2i−2i2i2i2i2i000022-20000000022-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i0000000000002-222-2-200−2i2i0000000000−2i−2i2i2i000000000000000000000000
χ36222-2-22-2-22222-2-22-2-222-22-2-2-2−2i−2i−2i−2i2i2i2i2i00002-220000000022-2-2-2-22-2-222−2i−2i−2i−2i2i2i2i2i000000000000-22-2-222002i−2i00000000002i2i−2i−2i000000000000000000000000
χ37222-2-22-2-2-12-1-1112-2-2-1212-2-212i2i2i2i−2i−2i−2i−2i0000-12-2−i3−i3i3i3−i3−i3i3i3-1-11111-1-1-111−i−i−i−iiiii0000−i3−i3i3i3−i3−i3i3i32-2-1-111002i−2i0000000000−i−iii33−3−333−3−30000000000000000
χ38222-2-22-2-2-12-1-1112-2-2-1212-2-212i2i2i2i−2i−2i−2i−2i0000-12-2i3i3−i3−i3i3i3−i3−i3-1-11111-1-1-111−i−i−i−iiiii0000i3i3−i3−i3i3i3−i3−i32-2-1-111002i−2i0000000000−i−iii−3−333−3−3330000000000000000
χ39222-2-22-2-2-12-1-1112-2-2-1212-2-212i2i2i2i−2i−2i−2i−2i0000-1-22−i3−i3i3i3i3i3−i3−i3-1-11111-111-1-1−i−i−i−iiiii0000−i3−i3i3i3i3i3−i3−i3-2211-1-100−2i2i0000000000ii−i−i33−3−3−3−3330000000000000000
χ40222-2-22-2-2-12-1-1112-2-2-1212-2-212i2i2i2i−2i−2i−2i−2i0000-1-22i3i3−i3−i3−i3−i3i3i3-1-11111-111-1-1−i−i−i−iiiii0000i3i3−i3−i3−i3−i3i3i3-2211-1-100−2i2i0000000000ii−i−i−3−33333−3−30000000000000000
χ41222-2-22-2-2-12-1-1112-2-2-1212-2-21−2i−2i−2i−2i2i2i2i2i0000-12-2−i3−i3i3i3−i3−i3i3i3-1-11111-1-1-111iiii−i−i−i−i0000−i3−i3i3i3−i3−i3i3i32-2-1-11100−2i2i0000000000ii−i−i−3−333−3−3330000000000000000
χ42222-2-22-2-2-12-1-1112-2-2-1212-2-21−2i−2i−2i−2i2i2i2i2i0000-12-2i3i3−i3−i3i3i3−i3−i3-1-11111-1-1-111iiii−i−i−i−i0000i3i3−i3−i3i3i3−i3−i32-2-1-11100−2i2i0000000000ii−i−i33−3−333−3−30000000000000000
χ43222-2-22-2-2-12-1-1112-2-2-1212-2-21−2i−2i−2i−2i2i2i2i2i0000-1-22−i3−i3i3i3i3i3−i3−i3-1-11111-111-1-1iiii−i−i−i−i0000−i3−i3i3i3i3i3−i3−i3-2211-1-1002i−2i0000000000−i−iii−3−33333−3−30000000000000000
χ44222-2-22-2-2-12-1-1112-2-2-1212-2-21−2i−2i−2i−2i2i2i2i2i0000-1-22i3i3−i3−i3−i3−i3i3i3-1-11111-111-1-1iiii−i−i−i−i0000i3i3−i3−i3−i3−i3i3i3-2211-1-1002i−2i0000000000−i−iii33−3−3−3−3330000000000000000
χ4522-22-2-22-222-2-222-22-222-2-22-2-22i2i−2i−2i2i2i−2i−2i2-2002002-22-20000-2-222-2-2200002i2i−2i−2i2i2i−2i−2i2-2002-22-20000000000000000002i−2i000000002i−2i2i−2i00000000000000000000
χ4622-22-2-22-222-2-222-22-222-2-22-2-22i2i−2i−2i2i2i−2i−2i-2200200-22-220000-2-222-2-2200002i2i−2i−2i2i2i−2i−2i-2200-22-22000000000000000000−2i2i00000000−2i2i−2i2i00000000000000000000
χ4722-22-2-22-222-2-222-22-222-2-22-2-2−2i−2i2i2i−2i−2i2i2i2-2002002-22-20000-2-222-2-220000−2i−2i2i2i−2i−2i2i2i2-2002-22-2000000000000000000−2i2i00000000−2i2i−2i2i00000000000000000000
χ4822-22-2-22-222-2-222-22-222-2-22-2-2−2i−2i2i2i−2i−2i2i2i-2200200-22-220000-2-222-2-220000−2i−2i2i2i−2i−2i2i2i-2200-22-220000000000000000002i−2i000000002i−2i2i−2i00000000000000000000
χ4922-22-2-22-2-1211-1-1-22-2-121-22-212i2i−2i−2i2i2i−2i−2i2-200-100-11-11−i3i3−i3i311-1-111-1−i3i3−i3i3−i−iii−i−iii2-200-11-11−i3i3−i3i300−i3i3−i3i3000000002i−2i00003−33−3−ii−ii3−33−30000000000000000
χ5022-22-2-22-2-1211-1-1-22-2-121-22-212i2i−2i−2i2i2i−2i−2i2-200-100-11-11i3−i3i3−i311-1-111-1i3−i3i3−i3−i−iii−i−iii2-200-11-11i3−i3i3−i300i3−i3i3−i3000000002i−2i0000−33−33−ii−ii−33−330000000000000000
χ5122-22-2-22-2-1211-1-1-22-2-121-22-212i2i−2i−2i2i2i−2i−2i-2200-1001-11-1−i3i3−i3i311-1-111-1i3−i3i3−i3−i−iii−i−iii-22001-11-1−i3i3−i3i300i3−i3i3−i300000000−2i2i0000−33−33i−ii−i3−33−30000000000000000
χ5222-22-2-22-2-1211-1-1-22-2-121-22-212i2i−2i−2i2i2i−2i−2i-2200-1001-11-1i3−i3i3−i311-1-111-1−i3i3−i3i3−i−iii−i−iii-22001-11-1i3−i3i3−i300−i3i3−i3i300000000−2i2i00003−33−3i−ii−i−33−330000000000000000
χ5322-22-2-22-2-1211-1-1-22-2-121-22-21−2i−2i2i2i−2i−2i2i2i2-200-100-11-11−i3i3−i3i311-1-111-1−i3i3−i3i3ii−i−iii−i−i2-200-11-11−i3i3−i3i300−i3i3−i3i300000000−2i2i0000−33−33i−ii−i−33−330000000000000000
χ5422-22-2-22-2-1211-1-1-22-2-121-22-21−2i−2i2i2i−2i−2i2i2i2-200-100-11-11i3−i3i3−i311-1-111-1i3−i3i3−i3ii−i−iii−i−i2-200-11-11i3−i3i3−i300i3−i3i3−i300000000−2i2i00003−33−3i−ii−i3−33−30000000000000000
χ5522-22-2-22-2-1211-1-1-22-2-121-22-21−2i−2i2i2i−2i−2i2i2i-2200-1001-11-1−i3i3−i3i311-1-111-1i3−i3i3−i3ii−i−iii−i−i-22001-11-1−i3i3−i3i300i3−i3i3−i3000000002i−2i00003−33−3−ii−ii−33−330000000000000000
χ5622-22-2-22-2-1211-1-1-22-2-121-22-21−2i−2i2i2i−2i−2i2i2i-2200-1001-11-1i3−i3i3−i311-1-111-1−i3i3−i3i3ii−i−iii−i−i-22001-11-1i3−i3i3−i300−i3i3−i3i3000000002i−2i0000−33−33−ii−ii3−33−30000000000000000
χ5722-2-22-2-2222-2-2-2-2-2-22222-2-22222-2-2-2-222002-220000002-2-22-2-2-2-2222000022-2-2-2-222002-200002-2-2200000000000000002-200000000002-2-220000000000000000
χ5822-2-22-2-2222-2-2-2-2-2-22222-2-22222-2-2-2-22200-222000000-222-2-2-2-2-2222000022-2-2-2-22200-220000-222-20000000000000000-220000000000-222-20000000000000000
χ5922-2-22-2-2222-2-2-2-2-2-22222-2-222-2-22222-2-2002-220000002-2-22-2-2-2-22220000-2-22222-2-2002-200002-2-220000000000000000-220000000000-222-20000000000000000
χ6022-2-22-2-2222-2-2-2-2-2-22222-2-222-2-22222-2-200-222000000-222-2-2-2-2-22220000-2-22222-2-200-220000-222-200000000000000002-200000000002-2-220000000000000000
χ6122-2-22-2-22-121111-2-22-12-1-2-22-122-2-2-2-222002-2-100−i3i3i3−i3-111-11111-1-1-1−i3i3i3−i3-1-11111-1-1002-2−i3i3i3−i3-111-100−i3i3i3−i300000000002-200−i3i3i3−i3−i3i3i3−i3-111-10000000000000000
χ6222-2-22-2-22-121111-2-22-12-1-2-22-122-2-2-2-222002-2-100i3−i3−i3i3-111-11111-1-1-1i3−i3−i3i3-1-11111-1-1002-2i3−i3−i3i3-111-100i3−i3−i3i300000000002-200i3−i3−i3i3i3−i3−i3i3-111-10000000000000000
χ6322-2-22-2-22-121111-2-22-12-1-2-22-122-2-2-2-22200-22-100−i3i3i3−i31-1-111111-1-1-1i3−i3−i3i3-1-11111-1-100-22−i3i3i3−i31-1-1100i3−i3−i3i30000000000-2200i3−i3−i3i3−i3i3i3−i31-1-110000000000000000
χ6422-2-22-2-22-121111-2-22-12-1-2-22-122-2-2-2-22200-22-100i3−i3−i3i31-1-111111-1-1-1−i3i3i3−i3-1-11111-1-100-22i3−i3−i3i31-1-1100−i3i3i3−i30000000000-2200−i3i3i3−i3i3−i3−i3i31-1-110000000000000000
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χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000004444144-2-2-2-2-2-2-2-21111111-2-2-2-200000000-2-2-2-211111111-2-21111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000044-4-41-4-4-2-2-2-222221111111222200000000-2-2221111-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).