Finite Group Databasebeta

← Group #11808447

Character table — Group #11808447

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444344444466666661212121212121212121212121212121212121212121212121212121212121212121212121212222222444444446666121212121212121266661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ17222222222-122-1-1-122-1-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222222002200000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-122-1-1-122-1-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-200-2-2000000000000001111111100000000
χ19222222222-122-1-1-122-1-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-111111111002222-2-200-2-200000000000000-1-1-1-1111100000000
χ20222222222-122-1-1-122-1-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-11111111100-2-2-2-2220022000000000000001111-1-1-1-100000000
χ21222222222-122-1-1-122-1-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000-1-111111111-1-1-1-111110022-2-22200-2-200000000000000-1-11111-1-100000000
χ22222222222-122-1-1-122-1-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000-1-111111111-1-1-1-1111100-2-222-2-200220000000000000011-1-1-1-11100000000
χ23222222222-122-1-1-122-1-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-11111111111-1-1-1-10022-2-2-2-2002200000000000000-1-111-1-11100000000
χ24222222222-122-1-1-122-1-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-11111111111-1-1-1-100-2-2222200-2-20000000000000011-1-111-1-100000000
χ2522222222-12-1-1222-1-122-1-12-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122000000220022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1222-1-122-1-12-1222222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-2-2000000-2-200221111-1-1-1-111110000000000000000
χ2722222222-12-1-1222-1-122-1-12-1222222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-11111-2-20000002200-2-211111111-1-1-1-10000000000000000
χ2822222222-12-1-1222-1-122-1-12-1222222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-122000000-2-200-2-2-1-1-1-1111111110000000000000000
χ2922222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-200-2-21111111111110000000000000000
χ3022222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-222-1-1-1-111111111220000002200-2-2-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-111111111111122-2-2-2-21111-1-1-1-1111122000000-2-20022-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-222-2-211111111-1-1-1-1-2-20000002200221111-1-1-1-1-1-1-1-10000000000000000
χ33222-2-2-2-22222222-2-2-22-2-2-2-22-22222-2-2-2-22002i−2i0022-2-22-2-200002i2i−2i−2i00002222-2-2-2-22i−2i000000002i2i−2i−2i0000000000002i−2i0000000000002i2i−2i−2i0000000000000000
χ34222-2-2-2-22222222-2-2-22-2-2-2-22-22222-2-2-2-2200−2i2i0022-2-22-2-20000−2i−2i2i2i00002222-2-2-2-2−2i2i00000000−2i−2i2i2i000000000000−2i2i000000000000−2i−2i2i2i0000000000000000
χ35222-2-2-2-22222222-2-2-22-2-2-2-22-2-2-2-2-222222002i−2i0022-2-22-2-200002i2i−2i−2i0000-2-2-2-222222i−2i000000002i2i−2i−2i000000000000−2i2i000000000000−2i−2i2i2i0000000000000000
χ36222-2-2-2-22222222-2-2-22-2-2-2-22-2-2-2-2-22222200−2i2i0022-2-22-2-20000−2i−2i2i2i0000-2-2-2-22222−2i2i00000000−2i−2i2i2i0000000000002i−2i0000000000002i2i−2i−2i0000000000000000
χ37222-2-2-2-22-12-1-122-2112-211-2-1-22222-2-2-2-2-1002i−2i00-1-111-11133−3−3−i−iii−i3−i3i3i3-1-1-1-111112i−2i000033−3−3−i−iii−i3−i3i3i3000000002i−2i0000−i3−i3i3i333−3−3−i−iii0000000000000000
χ38222-2-2-2-22-12-1-122-2112-211-2-1-22222-2-2-2-2-1002i−2i00-1-111-111−3−333−i−iiii3i3−i3−i3-1-1-1-111112i−2i0000−3−333−i−iiii3i3−i3−i3000000002i−2i0000i3i3−i3−i3−3−333−i−iii0000000000000000
χ39222-2-2-2-22-12-1-122-2112-211-2-1-22222-2-2-2-2-100−2i2i00-1-111-11133−3−3ii−i−ii3i3−i3−i3-1-1-1-11111−2i2i000033−3−3ii−i−ii3i3−i3−i300000000−2i2i0000i3i3−i3−i333−3−3ii−i−i0000000000000000
χ40222-2-2-2-22-12-1-122-2112-211-2-1-22222-2-2-2-2-100−2i2i00-1-111-111−3−333ii−i−i−i3−i3i3i3-1-1-1-11111−2i2i0000−3−333ii−i−i−i3−i3i3i300000000−2i2i0000−i3−i3i3i3−3−333ii−i−i0000000000000000
χ41222-2-2-2-22-12-1-122-2112-211-2-1-2-2-2-2-22222-1002i−2i00-1-111-11133−3−3−i−iii−i3−i3i3i31111-1-1-1-12i−2i000033−3−3−i−iii−i3−i3i3i300000000−2i2i0000i3i3−i3−i3−3−333ii−i−i0000000000000000
χ42222-2-2-2-22-12-1-122-2112-211-2-1-2-2-2-2-22222-1002i−2i00-1-111-111−3−333−i−iiii3i3−i3−i31111-1-1-1-12i−2i0000−3−333−i−iiii3i3−i3−i300000000−2i2i0000−i3−i3i3i333−3−3ii−i−i0000000000000000
χ43222-2-2-2-22-12-1-122-2112-211-2-1-2-2-2-2-22222-100−2i2i00-1-111-11133−3−3ii−i−ii3i3−i3−i31111-1-1-1-1−2i2i000033−3−3ii−i−ii3i3−i3−i3000000002i−2i0000−i3−i3i3i3−3−333−i−iii0000000000000000
χ44222-2-2-2-22-12-1-122-2112-211-2-1-2-2-2-2-22222-100−2i2i00-1-111-111−3−333ii−i−i−i3−i3i3i31111-1-1-1-1−2i2i0000−3−333ii−i−i−i3−i3i3i3000000002i−2i0000i3i3−i3−i333−3−3−i−iii0000000000000000
χ4522-222-2-2-2222-22-2-22-2-2-22-22-222i2i−2i−2i2i2i−2i−2i22-200002-22-2-22-22-22-2000000002i2i−2i−2i2i2i−2i−2i00002-22-22-2000000000000000000002i−2i00002i−2i2i−2i00000000000000000000
χ4622-222-2-2-2222-22-2-22-2-2-22-22-222i2i−2i−2i2i2i−2i−2i2-2200002-22-2-22-2-22-22000000002i2i−2i−2i2i2i−2i−2i0000-22-22-2200000000000000000000−2i2i0000−2i2i−2i2i00000000000000000000
χ4722-222-2-2-2222-22-2-22-2-2-22-22-22−2i−2i2i2i−2i−2i2i2i22-200002-22-2-22-22-22-200000000−2i−2i2i2i−2i−2i2i2i00002-22-22-200000000000000000000−2i2i0000−2i2i−2i2i00000000000000000000
χ4822-222-2-2-2222-22-2-22-2-2-22-22-22−2i−2i2i2i−2i−2i2i2i2-2200002-22-2-22-2-22-2200000000−2i−2i2i2i−2i−2i2i2i0000-22-22-22000000000000000000002i−2i00002i−2i2i−2i00000000000000000000
χ4922-222-2-2-2-12-112-2-2-11-2-2-112122i2i−2i−2i2i2i−2i−2i-12-20000-11-111-11-11-113−33−33−33−3−i−iii−i−iii00002-2-11-113−33−33−33−30000000000002i−2i−i3i3−i3i3−ii−ii−i3i3−i3i30000000000000000
χ5022-222-2-2-2-12-112-2-2-11-2-2-112122i2i−2i−2i2i2i−2i−2i-12-20000-11-111-11-11-11−33−33−33−33−i−iii−i−iii00002-2-11-11−33−33−33−330000000000002i−2ii3−i3i3−i3−ii−iii3−i3i3−i30000000000000000
χ5122-222-2-2-2-12-112-2-2-11-2-2-112122i2i−2i−2i2i2i−2i−2i-1-220000-11-111-111-11-13−33−3−33−33−i−iii−i−iii0000-221-11-13−33−3−33−33000000000000−2i2ii3−i3i3−i3i−ii−i−i3i3−i3i30000000000000000
χ5222-222-2-2-2-12-112-2-2-11-2-2-112122i2i−2i−2i2i2i−2i−2i-1-220000-11-111-111-11-1−33−333−33−3−i−iii−i−iii0000-221-11-1−33−333−33−3000000000000−2i2i−i3i3−i3i3i−ii−ii3−i3i3−i30000000000000000
χ5322-222-2-2-2-12-112-2-2-11-2-2-11212−2i−2i2i2i−2i−2i2i2i-12-20000-11-111-11-11-113−33−33−33−3ii−i−iii−i−i00002-2-11-113−33−33−33−3000000000000−2i2ii3−i3i3−i3i−ii−ii3−i3i3−i30000000000000000
χ5422-222-2-2-2-12-112-2-2-11-2-2-11212−2i−2i2i2i−2i−2i2i2i-12-20000-11-111-11-11-11−33−33−33−33ii−i−iii−i−i00002-2-11-11−33−33−33−33000000000000−2i2i−i3i3−i3i3i−ii−i−i3i3−i3i30000000000000000
χ5522-222-2-2-2-12-112-2-2-11-2-2-11212−2i−2i2i2i−2i−2i2i2i-1-220000-11-111-111-11-13−33−3−33−33ii−i−iii−i−i0000-221-11-13−33−3−33−330000000000002i−2i−i3i3−i3i3−ii−iii3−i3i3−i30000000000000000
χ5622-222-2-2-2-12-112-2-2-11-2-2-11212−2i−2i2i2i−2i−2i2i2i-1-220000-11-111-111-11-1−33−333−33−3ii−i−iii−i−i0000-221-11-1−33−333−33−30000000000002i−2ii3−i3i3−i3−ii−ii−i3i3−i3i30000000000000000
χ5722-2-2-222-2222-22-22-22-22-22-2-2-22i2i−2i−2i−2i−2i2i2i200002i−2i2-2-22-2-22000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i002i−2i00000000002i−2i−2i2i2-20000000000002-2-22000000000000000000000000
χ5822-2-2-222-2222-22-22-22-22-22-2-2-22i2i−2i−2i−2i−2i2i2i20000−2i2i2-2-22-2-2200000000−2i2i2i−2i2i2i−2i−2i−2i−2i2i2i00−2i2i0000000000−2i2i2i−2i-22000000000000-222-2000000000000000000000000
χ5922-2-2-222-2222-22-22-22-22-22-2-2-2−2i−2i2i2i2i2i−2i−2i200002i−2i2-2-22-2-22000000002i−2i−2i2i−2i−2i2i2i2i2i−2i−2i002i−2i00000000002i−2i−2i2i-22000000000000-222-2000000000000000000000000
χ6022-2-2-222-2222-22-22-22-22-22-2-2-2−2i−2i2i2i2i2i−2i−2i20000−2i2i2-2-22-2-2200000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00−2i2i0000000000−2i2i2i−2i2-20000000000002-2-22000000000000000000000000
χ6122-2-2-222-2-12-112-221-1-221-1-21-22i2i−2i−2i−2i−2i2i2i-100002i−2i-111-111-13−3−33i3−i3−i3i3−iii−i−i−iiiii−i−i002i−2i003−3−33i3−i3−i3i3−iii−i2-2000000000000-111-1i3−i3−i3i33−3−330000000000000000
χ6222-2-2-222-2-12-112-221-1-221-1-21-22i2i−2i−2i−2i−2i2i2i-100002i−2i-111-111-1−333−3−i3i3i3−i3−iii−i−i−iiiii−i−i002i−2i00−333−3−i3i3i3−i3−iii−i2-2000000000000-111-1−i3i3i3−i3−333−30000000000000000
χ6322-2-2-222-2-12-112-221-1-221-1-21-22i2i−2i−2i−2i−2i2i2i-10000−2i2i-111-111-13−3−33−i3i3i3−i3i−i−ii−i−iiiii−i−i00−2i2i003−3−33−i3i3i3−i3i−i−ii-220000000000001-1-11i3−i3−i3i3−333−30000000000000000
χ6422-2-2-222-2-12-112-221-1-221-1-21-22i2i−2i−2i−2i−2i2i2i-10000−2i2i-111-111-1−333−3i3−i3−i3i3i−i−ii−i−iiiii−i−i00−2i2i00−333−3i3−i3−i3i3i−i−ii-220000000000001-1-11−i3i3i3−i33−3−330000000000000000
χ6522-2-2-222-2-12-112-221-1-221-1-21-2−2i−2i2i2i2i2i−2i−2i-100002i−2i-111-111-13−3−33i3−i3−i3i3−iii−iii−i−i−i−iii002i−2i003−3−33i3−i3−i3i3−iii−i-220000000000001-1-11−i3i3i3−i3−333−30000000000000000
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χ772-2-22-2-22222-2-2-2-222-22-2-22-2222-2-222-2-222000000-2-2-2222-20000000000002-2-222-2-2200000000000000000000002-200000000000000000000002-200000000002-2
χ782-2-22-2-22222-2-2-2-222-22-2-22-2222-2-222-2-222000000-2-2-2222-20000000000002-2-222-2-220000000000000000000000-220000000000000000000000-220000000000-22
χ792-2-22-2-22222-2-2-2-222-22-2-22-222-222-2-222-22000000-2-2-2222-2000000000000-222-2-222-200000000000000000000002-200000000000000000000002-20000000000-22
χ802-2-22-2-22222-2-2-2-222-22-2-22-222-222-2-222-22000000-2-2-2222-2000000000000-222-2-222-20000000000000000000000-220000000000000000000000-2200000000002-2
χ812-2-2-222-2222-2-2-2-2-2-22222-222-22-2-22-222-22000000-2-22-22-220000000000002-2-22-222-200000000000000000000000000002-20000000000000000002-2002-2000000
χ822-2-2-222-2222-2-2-2-2-2-22222-222-22-2-22-222-22000000-2-22-22-220000000000002-2-22-222-20000000000000000000000000000-22000000000000000000-2200-22000000
χ832-2-2-222-2222-2-2-2-2-2-22222-222-2-222-22-2-222000000-2-22-22-22000000000000-222-22-2-2200000000000000000000000000002-20000000000000000002-200-22000000
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χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000014444441111111-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
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χ8844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000001-4-4-4-444111111122222222-2-2-2-20000000022-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
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χ9844-444-4-4-4-2-2-22-222-2222-22-22-20000000014-400001-11-1-11-1-22-22−2323−2323−2323−2323000000000000-221-11-13−33−33−33−3000000000000000000000000000000000000000000
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χ1074-444-44-4-44-2-442-22442-2-4-42-4-200000000-20000002-2222-2-200000000000000000000000000000000000000004-40000000000000000000000-2200000000000000
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χ1094-444-44-4-4-242-2-44-4-2-2-4422-4244i−4i4i−4i4i−4i4i−4i-20000002-2222-2-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1104-444-44-4-4-242-2-44-4-2-2-4422-424−4i4i−4i4i−4i4i−4i4i-20000002-2222-2-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
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χ1258-8-88-8-888-4-44444-4-44-444-44-4-4000000002000000-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-888-88-4-4444444-4-4-4-44-4-44000000002000000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000

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