Finite Group Databasebeta

← Group #11808758

Character table — Group #11808758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444443444444666666612121212121212121212121212121212121212121212121212121212121212121212121212122222224444444466666666121212126612121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111
χ17222222222-1222-1-1-1-12-122-12-122222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122220022000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-1-1-12-122-12-122222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2-2-2002200000011111111-1-1-1-10000000000000000
χ19222222222-1222-1-1-1-12-122-12-122222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111122-2-200-2-2000000-1-1-1-1111111110000000000000000
χ20222222222-1222-1-1-1-12-122-12-122222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-22200-2-20000001111-1-1-1-111110000000000000000
χ21222222222-1222-1-1-1-12-122-12-1-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-20000001111111111110000000000000000
χ22222222222-1222-1-1-1-12-122-12-1-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111222200-2-2000000-1-1-1-1-1-1-1-111110000000000000000
χ23222222222-1222-1-1-1-12-122-12-1-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-21111-1-1-1-11111-2-22200220000001111-1-1-1-1-1-1-1-10000000000000000
χ24222222222-1222-1-1-1-12-122-12-1-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-22211111111-1-1-1-122-2-20022000000-1-1-1-11111-1-1-1-10000000000000000
χ2522222222-12-1-1-12222-12-1-12-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200222222000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-1-12222-12-1-12-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2-2-2-2-20000000000001111111100000000
χ2722222222-12-1-1-12222-12-1-12-1200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-11111111100002200-2-2-2-222000000000000-1-11111-1-100000000
χ2822222222-12-1-1-12222-12-1-12-1200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-1111111110000-2-2002222-2-200000000000011-1-1-1-11100000000
χ2922222222-12-1-1-12222-12-1-12-1200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-111110000220022-2-2-2-2000000000000-1-1-1-1111100000000
χ3022222222-12-1-1-12222-12-1-12-1200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-111110000-2-200-2-222220000000000001111-1-1-1-100000000
χ3122222222-12-1-1-12222-12-1-12-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-100002200-2-222-2-2000000000000-1-111-1-11100000000
χ3222222222-12-1-1-12222-12-1-12-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-10000-2-20022-2-22200000000000011-1-111-1-100000000
χ33222-2-22-2-2222-2-222-2-2222-2-2-2-22i2i2i2i−2i−2i−2i−2i200002i−2i22-2-2-22-2000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00002i−2i000000002i2i−2i−2i002-20000000000000022-2-200000000000000000000
χ34222-2-22-2-2222-2-222-2-2222-2-2-2-22i2i2i2i−2i−2i−2i−2i20000−2i2i22-2-2-22-200000000−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i0000−2i2i00000000−2i−2i2i2i00-2200000000000000-2-22200000000000000000000
χ35222-2-22-2-2222-2-222-2-2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i200002i−2i22-2-2-22-2000000002i2i−2i−2i−2i−2i−2i−2i2i2i2i2i00002i−2i000000002i2i−2i−2i00-2200000000000000-2-22200000000000000000000
χ36222-2-22-2-2222-2-222-2-2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i20000−2i2i22-2-2-22-200000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000−2i2i00000000−2i−2i2i2i002-20000000000000022-2-200000000000000000000
χ37222-2-22-2-22-12-2-2-1-1112-12-21-212i2i2i2i−2i−2i−2i−2i-100002i−2i-1-1111-11−i3−i3i3i333−3−3−i−iii−i−i−i−iiiii00002i−2i−i3−i3i3i333−3−3−i−iii002-20000000000−i3−i3i3i3-1-11133−3−30000000000000000
χ38222-2-22-2-22-12-2-2-1-1112-12-21-212i2i2i2i−2i−2i−2i−2i-100002i−2i-1-1111-11i3i3−i3−i3−3−333−i−iii−i−i−i−iiiii00002i−2ii3i3−i3−i3−3−333−i−iii002-20000000000i3i3−i3−i3-1-111−3−3330000000000000000
χ39222-2-22-2-22-12-2-2-1-1112-12-21-212i2i2i2i−2i−2i−2i−2i-10000−2i2i-1-1111-11−i3−i3i3i3−3−333ii−i−i−i−i−i−iiiii0000−2i2i−i3−i3i3i3−3−333ii−i−i00-220000000000i3i3−i3−i311-1-133−3−30000000000000000
χ40222-2-22-2-22-12-2-2-1-1112-12-21-212i2i2i2i−2i−2i−2i−2i-10000−2i2i-1-1111-11i3i3−i3−i333−3−3ii−i−i−i−i−i−iiiii0000−2i2ii3i3−i3−i333−3−3ii−i−i00-220000000000−i3−i3i3i311-1-1−3−3330000000000000000
χ41222-2-22-2-22-12-2-2-1-1112-12-21-21−2i−2i−2i−2i2i2i2i2i-100002i−2i-1-1111-11−i3−i3i3i333−3−3−i−iiiiiii−i−i−i−i00002i−2i−i3−i3i3i333−3−3−i−iii00-220000000000i3i3−i3−i311-1-1−3−3330000000000000000
χ42222-2-22-2-22-12-2-2-1-1112-12-21-21−2i−2i−2i−2i2i2i2i2i-100002i−2i-1-1111-11i3i3−i3−i3−3−333−i−iiiiiii−i−i−i−i00002i−2ii3i3−i3−i3−3−333−i−iii00-220000000000−i3−i3i3i311-1-133−3−30000000000000000
χ43222-2-22-2-22-12-2-2-1-1112-12-21-21−2i−2i−2i−2i2i2i2i2i-10000−2i2i-1-1111-11−i3−i3i3i3−3−333ii−i−iiiii−i−i−i−i0000−2i2i−i3−i3i3i3−3−333ii−i−i002-20000000000−i3−i3i3i3-1-111−3−3330000000000000000
χ44222-2-22-2-22-12-2-2-1-1112-12-21-21−2i−2i−2i−2i2i2i2i2i-10000−2i2i-1-1111-11i3i3−i3−i333−3−3ii−i−iiiii−i−i−i−i0000−2i2ii3i3−i3−i333−3−3ii−i−i002-20000000000i3i3−i3−i3-1-11133−3−30000000000000000
χ4522-22-2-22-222-22-2-2-22222-22-2-2-22i2i−2i−2i2i2i−2i−2i2002i−2i00-2-222-22-200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i002i−2i0000002i−2i2i−2i00002-20000000000002-22-2000000000000000000000000
χ4622-22-2-22-222-22-2-2-22222-22-2-2-22i2i−2i−2i2i2i−2i−2i200−2i2i00-2-222-22-20000−2i2i−2i2i00002i2i−2i−2i2i2i−2i−2i00−2i2i000000−2i2i−2i2i0000-22000000000000-22-22000000000000000000000000
χ4722-22-2-22-222-22-2-2-22222-22-2-2-2−2i−2i2i2i−2i−2i2i2i2002i−2i00-2-222-22-200002i−2i2i−2i0000−2i−2i2i2i−2i−2i2i2i002i−2i0000002i−2i2i−2i0000-22000000000000-22-22000000000000000000000000
χ4822-22-2-22-222-22-2-2-22222-22-2-2-2−2i−2i2i2i−2i−2i2i2i200−2i2i00-2-222-22-20000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00−2i2i000000−2i2i−2i2i00002-20000000000002-22-2000000000000000000000000
χ4922-22-2-22-22-1-22-211-1-12-1-221-212i2i−2i−2i2i2i−2i−2i-1002i−2i0011-1-11-11−i3i3−i3i3−ii−ii3−33−3−i−iii−i−iii002i−2i00−i3i3−i3i3−ii−ii3−33−32-2000000000000-11-11−i3i3−i3i33−33−30000000000000000
χ5022-22-2-22-22-1-22-211-1-12-1-221-212i2i−2i−2i2i2i−2i−2i-1002i−2i0011-1-11-11i3−i3i3−i3−ii−ii−33−33−i−iii−i−iii002i−2i00i3−i3i3−i3−ii−ii−33−332-2000000000000-11-11i3−i3i3−i3−33−330000000000000000
χ5122-22-2-22-22-1-22-211-1-12-1-221-212i2i−2i−2i2i2i−2i−2i-100−2i2i0011-1-11-11−i3i3−i3i3i−ii−i−33−33−i−iii−i−iii00−2i2i00−i3i3−i3i3i−ii−i−33−33-220000000000001-11-1i3−i3i3−i33−33−30000000000000000
χ5222-22-2-22-22-1-22-211-1-12-1-221-212i2i−2i−2i2i2i−2i−2i-100−2i2i0011-1-11-11i3−i3i3−i3i−ii−i3−33−3−i−iii−i−iii00−2i2i00i3−i3i3−i3i−ii−i3−33−3-220000000000001-11-1−i3i3−i3i3−33−330000000000000000
χ5322-22-2-22-22-1-22-211-1-12-1-221-21−2i−2i2i2i−2i−2i2i2i-1002i−2i0011-1-11-11−i3i3−i3i3−ii−ii3−33−3ii−i−iii−i−i002i−2i00−i3i3−i3i3−ii−ii3−33−3-220000000000001-11-1i3−i3i3−i3−33−330000000000000000
χ5422-22-2-22-22-1-22-211-1-12-1-221-21−2i−2i2i2i−2i−2i2i2i-1002i−2i0011-1-11-11i3−i3i3−i3−ii−ii−33−33ii−i−iii−i−i002i−2i00i3−i3i3−i3−ii−ii−33−33-220000000000001-11-1−i3i3−i3i33−33−30000000000000000
χ5522-22-2-22-22-1-22-211-1-12-1-221-21−2i−2i2i2i−2i−2i2i2i-100−2i2i0011-1-11-11−i3i3−i3i3i−ii−i−33−33ii−i−iii−i−i00−2i2i00−i3i3−i3i3i−ii−i−33−332-2000000000000-11-11−i3i3−i3i3−33−330000000000000000
χ5622-22-2-22-22-1-22-211-1-12-1-221-21−2i−2i2i2i−2i−2i2i2i-100−2i2i0011-1-11-11i3−i3i3−i3i−ii−i3−33−3ii−i−iii−i−i00−2i2i00i3−i3i3−i3i−ii−i3−33−32-2000000000000-11-11i3−i3i3−i33−33−30000000000000000
χ5722-2-22-2-2222-2-22-2-2-2-222-2-222222-2-2-2-22222-20000-2-2-2-22222-2-220000000022-2-2-2-2222-200002-2-22000000000000002-2000000000000002-2-220000000000000000
χ5822-2-22-2-2222-2-22-2-2-2-222-2-222222-2-2-2-2222-220000-2-2-2-2222-222-20000000022-2-2-2-222-220000-222-200000000000000-2200000000000000-222-20000000000000000
χ5922-2-22-2-2222-2-22-2-2-2-222-2-2222-2-22222-2-222-20000-2-2-2-22222-2-2200000000-2-22222-2-22-200002-2-2200000000000000-2200000000000000-222-20000000000000000
χ6022-2-22-2-2222-2-22-2-2-2-222-2-2222-2-22222-2-22-220000-2-2-2-2222-222-200000000-2-22222-2-2-220000-222-2000000000000002-2000000000000002-2-220000000000000000
χ6122-2-22-2-222-1-2-2211112-1-2-2-12-122-2-2-2-222-12-200001111-1-1-1-111-1−i3i3i3−i3−i3i3i3−i3-1-11111-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i30000002-2000000−i3i3i3−i3−i3i3i3−i3-111-10000000000000000
χ6222-2-22-2-222-1-2-2211112-1-2-2-12-122-2-2-2-222-12-200001111-1-1-1-111-1i3−i3−i3i3i3−i3−i3i3-1-11111-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i30000002-2000000i3−i3−i3i3i3−i3−i3i3-111-10000000000000000
χ6322-2-22-2-222-1-2-2211112-1-2-2-12-122-2-2-2-222-1-2200001111-1-1-11-1-11−i3i3i3−i3i3−i3−i3i3-1-11111-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i3000000-22000000−i3i3i3−i3i3−i3−i3i31-1-110000000000000000
χ6422-2-22-2-222-1-2-2211112-1-2-2-12-122-2-2-2-222-1-2200001111-1-1-11-1-11i3−i3−i3i3−i3i3i3−i3-1-11111-1-1-2200001-1-11i3−i3−i3i3−i3i3i3−i3000000-22000000i3−i3−i3i3−i3i3i3−i31-1-110000000000000000
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Here i is the imaginary unit (i² = −1).