Finite Group Databasebeta

← Group #11812875

Character table — Group #11812875

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222222222223366666666666666344446666666666666661212121212121212444412121212121212126666121212121212121212121212224444444466661212121212121212121212121212121224661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11
χ1111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-11
χ1211111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-11-1
χ1311111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-11
χ1411111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1111-1
χ1511111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-11111-11-1-111-1-1111-1
χ1611111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1111111111-111-1-111-1-1-11
χ172222222222222-12222-1-1-12-1-12-1-12-122222222-1-1-1-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-1-1-1-1-1-1-1000022-1-1-1-1000000
χ182222222222222-12222-1-1-12-1-12-1-12-122222222-1-1-1-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000111111110000-2-21111000000
χ192222222222222-12222-1-1-12-1-12-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000022220000000000-1-1-1-1-1-1-1-10000-2-21111000000
χ202222222222222-12222-1-1-12-1-12-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-11111111111110000-2-2-2-2000000000011111111000022-1-1-1-1000000
χ21222222222222-12-1-1-1-1222-122-122-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-100000000-1-1-1-1000000000000
χ22222222222222-12-1-1-1-1222-122-122-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-211111111000000001111000000000000
χ23222222222222-12-1-1-1-1222-122-122-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-20000221111111100000000-1-1-1-1000000000000
χ24222222222222-12-1-1-1-1222-122-122-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-2-2-2-21111111122220000-2-2-1-1-1-1-1-1-1-1000000001111000000000000
χ2522222222-2-2-2-22-12222-1-1-12-1-12-1-12-122-2-2-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-20000000000001111-1-111-1-1-1-11111000022-2-20000000000-1-1-1-1111100002-2-1-111000000
χ2622222222-2-2-2-22-12222-1-1-12-1-12-1-12-122-2-2-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-20000000000001111-1-111-1-1-1-111110000-2-22200000000001111-1-1-1-10000-2211-1-1000000
χ2722222222-2-2-2-22-12222-1-1-12-1-12-1-12-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-22222000000000000111111-1-11111-1-1-1-1000022-2-20000000000-1-1-1-111110000-2211-1-1000000
χ2822222222-2-2-2-22-12222-1-1-12-1-12-1-12-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-22222000000000000111111-1-11111-1-1-1-10000-2-22200000000001111-1-1-1-100002-2-1-111000000
χ2922222222-2-2-2-2-12-1-1-1-1222-122-122-1-122-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1111122-2-2-1-1-1-11111-2-2220000-2-21111-1-1-1-1000000001111000000000000
χ3022222222-2-2-2-2-12-1-1-1-1222-122-122-1-122-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111122-2-2-1-1-1-1111122-2-2000022-1-1-1-1111100000000-1-1-1-1000000000000
χ3122222222-2-2-2-2-12-1-1-1-1222-122-122-1-1-2-2221111-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-122-2-20000-2-2-1-1-1-11111000000001111000000000000
χ3222222222-2-2-2-2-12-1-1-1-1222-122-122-1-1-2-2221111-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-2111111111111-2-2221111-1-1-1-1-2-2220000221111-1-1-1-100000000-1-1-1-1000000000000
χ3322-222-2-2-222-2-22222-2-22-2-2-2-2-2222-22000022-2-222-2-2222-2-2-2-2000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-2000000000000000000002i−2i00000000000000002i2i−2i−2i000000000000
χ3422-222-2-2-222-2-22222-2-22-2-2-2-2-2222-22000022-2-222-2-2222-2-2-2-200000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-200000000000000000000−2i2i0000000000000000−2i−2i2i2i000000000000
χ3522-222-2-2-222-2-2-12-1-1112-2-21-2-2-1221-10000-1-11122-2-2-1-1-1111133−3−333−3−32i2i−2i−2i−i−i−i−iiiii-1-111000033−3−333−3−3000000002i−2i−i3−i3i3i3−i3−i3i3i300000000−i−iii000000000000
χ3622-222-2-2-222-2-2-12-1-1112-2-21-2-2-1221-10000-1-11122-2-2-1-1-1111133−3−333−3−3−2i−2i2i2iiiii−i−i−i−i-1-111000033−3−333−3−300000000−2i2ii3i3−i3−i3i3i3−i3−i300000000ii−i−i000000000000
χ3722-222-2-2-222-2-2-12-1-1112-2-21-2-2-1221-10000-1-11122-2-2-1-1-11111−3−333−3−3332i2i−2i−2i−i−i−i−iiiii-1-1110000−3−333−3−333000000002i−2ii3i3−i3−i3i3i3−i3−i300000000−i−iii000000000000
χ3822-222-2-2-222-2-2-12-1-1112-2-21-2-2-1221-10000-1-11122-2-2-1-1-11111−3−333−3−333−2i−2i2i2iiiii−i−i−i−i-1-1110000−3−333−3−33300000000−2i2i−i3−i3i3i3−i3−i3i3i300000000ii−i−i000000000000
χ3922-222-2-2-2-2-2222222-2-22-2-2-2-2-2222-220000-2-222-2-222222-2-2-2-2000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-22200000000000000000000−2i2i0000000000000000−2i−2i2i2i000000000000
χ4022-222-2-2-2-2-2222222-2-22-2-2-2-2-2222-220000-2-222-2-222222-2-2-2-200000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-2-222000000000000000000002i−2i00000000000000002i2i−2i−2i000000000000
χ4122-222-2-2-2-2-222-12-1-1112-2-21-2-2-1221-1000011-1-1-2-222-1-1-1111133−3−3−3−3332i2i−2i−2i−i−i−i−iiiii11-1-1000033−3−3−3−33300000000−2i2ii3i3−i3−i3−i3−i3i3i300000000ii−i−i000000000000
χ4222-222-2-2-2-2-222-12-1-1112-2-21-2-2-1221-1000011-1-1-2-222-1-1-1111133−3−3−3−333−2i−2i2i2iiiii−i−i−i−i11-1-1000033−3−3−3−333000000002i−2i−i3−i3i3i3i3i3−i3−i300000000−i−iii000000000000
χ4322-222-2-2-2-2-222-12-1-1112-2-21-2-2-1221-1000011-1-1-2-222-1-1-11111−3−33333−3−32i2i−2i−2i−i−i−i−iiiii11-1-10000−3−33333−3−300000000−2i2i−i3−i3i3i3i3i3−i3−i300000000ii−i−i000000000000
χ4422-222-2-2-2-2-222-12-1-1112-2-21-2-2-1221-1000011-1-1-2-222-1-1-11111−3−33333−3−3−2i−2i2i2iiiii−i−i−i−i11-1-10000−3−33333−3−3000000002i−2ii3i3−i3−i3−i3−i3i3i300000000−i−iii000000000000
χ452-222-22-2-20000222-22-2-22-222-2-2-22-220000000000002-2-22-22-2000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000002-200000000000022-2-2000000000000002i−2i0000
χ462-222-22-2-20000222-22-2-22-222-2-2-22-220000000000002-2-22-22-2000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000-22000000000000-2-22200000000000000−2i2i0000
χ472-222-22-2-20000222-22-2-22-222-2-2-22-220000000000002-2-22-22-200000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000002-200000000000022-2-200000000000000−2i2i0000
χ482-222-22-2-20000222-22-2-22-222-2-2-22-220000000000002-2-22-22-200000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000-22000000000000-2-222000000000000002i−2i0000
χ492-22-22-2-222-22-222-2-2-2-2-2-2-222222-22200002-22-22-22-2-22-2-2-222000000000000000000002-22-20000000000002-22-20000002-22-22-22-2000000000000000000000000
χ502-22-22-2-222-22-222-2-2-2-2-2-2-222222-22200002-22-22-22-2-22-2-2-222000000000000000000002-22-2000000000000-22-22000000-22-22-22-22000000000000000000000000
χ512-22-22-2-222-22-2-121111-2-2-2-122-12-2-1-10000-11-112-22-21-1111-1-1−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-110000−i3i3−i3i3−i3i3−i3i32-22-2000000-11-11-11-1100000000−i3i3−i3i3000000000000
χ522-22-22-2-222-22-2-121111-2-2-2-122-12-2-1-10000-11-112-22-21-1111-1-1−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i3-11-110000−i3i3−i3i3−i3i3−i3i3-22-220000001-11-11-11-100000000i3−i3i3−i3000000000000
χ532-22-22-2-222-22-2-121111-2-2-2-122-12-2-1-10000-11-112-22-21-1111-1-1i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i3-11-110000i3−i3i3−i3i3−i3i3−i3-22-220000001-11-11-11-100000000−i3i3−i3i3000000000000
χ542-22-22-2-222-22-2-121111-2-2-2-122-12-2-1-10000-11-112-22-21-1111-1-1i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-110000i3−i3i3−i3i3−i3i3−i32-22-2000000-11-11-11-1100000000i3−i3i3−i3000000000000
χ552-22-22-2-22-22-2222-2-2-2-2-2-2-222222-2220000-22-22-22-22-22-2-2-22200000000000000000000-22-220000000000002-2-220000002-22-2-22-22000000000000000000000000
χ562-22-22-2-22-22-2222-2-2-2-2-2-2-222222-2220000-22-22-22-22-22-2-2-22200000000000000000000-22-22000000000000-222-2000000-22-222-22-2000000000000000000000000
χ572-22-22-2-22-22-22-121111-2-2-2-122-12-2-1-100001-11-1-22-221-1111-1-1−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i31-11-10000−i3i3−i3i3i3−i3i3−i3-222-20000001-11-1-11-1100000000i3−i3i3−i3000000000000
χ582-22-22-2-22-22-22-121111-2-2-2-122-12-2-1-100001-11-1-22-221-1111-1-1−i3i3−i3i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i31-11-10000−i3i3−i3i3i3−i3i3−i32-2-22000000-11-111-11-100000000−i3i3−i3i3000000000000
χ592-22-22-2-22-22-22-121111-2-2-2-122-12-2-1-100001-11-1-22-221-1111-1-1i3−i3i3−i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i31-11-10000i3−i3i3−i3−i3i3−i3i32-2-22000000-11-111-11-100000000i3−i3i3−i3000000000000
χ602-22-22-2-22-22-22-121111-2-2-2-122-12-2-1-100001-11-1-22-221-1111-1-1i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i31-11-10000i3−i3i3−i3−i3i3−i3i3-222-20000001-11-1-11-1100000000−i3i3−i3i3000000000000
χ612-2-22-2-2220000222-2-22-2-22-2-22-2-22220000000000002-2-2-22-22000000002-2-2222-2-2-2-22200000000000000000000002-20000000000000022-2-20000000000002-200
χ622-2-22-2-2220000222-2-22-2-22-2-22-2-22220000000000002-2-2-22-22000000002-2-2222-2-2-2-2220000000000000000000000-2200000000000000-2-222000000000000-2200
χ632-2-22-2-2220000222-2-22-2-22-2-22-2-22220000000000002-2-2-22-2200000000-222-2-2-22222-2-200000000000000000000002-20000000000000022-2-2000000000000-2200
χ642-2-22-2-2220000222-2-22-2-22-2-22-2-22220000000000002-2-2-22-2200000000-222-2-2-22222-2-20000000000000000000000-2200000000000000-2-2220000000000002-200
χ652-2-2-2222-22-2-2222-2-222-222-2-2-222-2-222i−2i2i−2i2-2-222-2-22-22-222-2-22i−2i−2i2i2i−2i−2i2i0000000000002-2-222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ662-2-2-2222-22-2-2222-2-222-222-2-2-222-2-22−2i2i−2i2i2-2-222-2-22-22-222-2-2−2i2i2i−2i−2i2i2i−2i0000000000002-2-22−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ672-2-2-2222-22-2-222-1-2-2221-1-1-2112-11-2-12i−2i2i−2i2-2-22-111-11-11-1-1112i−2i−2i2i2i−2i−2i2i000000000000-111-1−ii−ii−iii−i−iii−i0000000000000000003−33−33−33−3000000−i3i3−i3i3000000
χ682-2-2-2222-22-2-222-1-2-2221-1-1-2112-11-2-12i−2i2i−2i2-2-22-111-11-11-1-1112i−2i−2i2i2i−2i−2i2i000000000000-111-1−ii−ii−iii−i−iii−i000000000000000000−33−33−33−33000000i3−i3i3−i3000000
χ692-2-2-2222-22-2-222-1-2-2221-1-1-2112-11-2-1−2i2i−2i2i2-2-22-111-11-11-1-111−2i2i2i−2i−2i2i2i−2i000000000000-111-1i−ii−ii−i−iii−i−ii0000000000000000003−33−33−33−3000000i3−i3i3−i3000000
χ702-2-2-2222-22-2-222-1-2-2221-1-1-2112-11-2-1−2i2i−2i2i2-2-22-111-11-11-1-111−2i2i2i−2i−2i2i2i−2i000000000000-111-1i−ii−ii−i−iii−i−ii000000000000000000−33−33−33−33000000−i3i3−i3i3000000
χ712-2-2-2222-22-2-22-1211-1-1-2221-2-2-12-21-12i−2i2i−2i-111-12-2-221-11-1-111−iii−i−iii−i00003−33−3−33−33-111-12i−2i2i−2i−iii−i−iii−i0000000000−i3i3i3−i3−i3i3i3−i3000000003−3−33000000000000
χ722-2-2-2222-22-2-22-1211-1-1-2221-2-2-12-21-12i−2i2i−2i-111-12-2-221-11-1-111−iii−i−iii−i0000−33−333−33−3-111-12i−2i2i−2i−iii−i−iii−i0000000000i3−i3−i3i3i3−i3−i3i300000000−333−3000000000000
χ732-2-2-2222-22-2-22-1211-1-1-2221-2-2-12-21-1−2i2i−2i2i-111-12-2-221-11-1-111i−i−iii−i−ii00003−33−3−33−33-111-1−2i2i−2i2ii−i−iii−i−ii0000000000i3−i3−i3i3i3−i3−i3i3000000003−3−33000000000000
χ742-2-2-2222-22-2-22-1211-1-1-2221-2-2-12-21-1−2i2i−2i2i-111-12-2-221-11-1-111i−i−iii−i−ii0000−33−333−33−3-111-1−2i2i−2i2ii−i−iii−i−ii0000000000−i3i3i3−i3−i3i3i3−i300000000−333−3000000000000
χ752-2-2-2222-2-222-222-2-222-222-2-2-222-2-222i−2i−2i2i-222-2-222-2-22-222-2-22i−2i−2i2i−2i2i2i−2i000000000000-222-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000
χ762-2-2-2222-2-222-222-2-222-222-2-2-222-2-22−2i2i2i−2i-222-2-222-2-22-222-2-2−2i2i2i−2i2i−2i−2i2i000000000000-222-2−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000
χ772-2-2-2222-2-222-22-1-2-2221-1-1-2112-11-2-12i−2i−2i2i-222-21-1-111-11-1-1112i−2i−2i2i−2i2i2i−2i0000000000001-1-11−iii−i−iii−ii−i−ii0000000000000000003−33−3−33−33000000−i3i3i3−i3000000
χ782-2-2-2222-2-222-22-1-2-2221-1-1-2112-11-2-12i−2i−2i2i-222-21-1-111-11-1-1112i−2i−2i2i−2i2i2i−2i0000000000001-1-11−iii−i−iii−ii−i−ii000000000000000000−33−333−33−3000000i3−i3−i3i3000000
χ792-2-2-2222-2-222-22-1-2-2221-1-1-2112-11-2-1−2i2i2i−2i-222-21-1-111-11-1-111−2i2i2i−2i2i−2i−2i2i0000000000001-1-11i−i−iii−i−ii−iii−i0000000000000000003−33−3−33−33000000i3−i3−i3i3000000
χ802-2-2-2222-2-222-22-1-2-2221-1-1-2112-11-2-1−2i2i2i−2i-222-21-1-111-11-1-111−2i2i2i−2i2i−2i−2i2i0000000000001-1-11i−i−iii−i−ii−iii−i000000000000000000−33−333−33−3000000−i3i3i3−i3000000
χ812-2-2-2222-2-222-2-1211-1-1-2221-2-2-12-21-12i−2i−2i2i1-1-11-222-21-11-1-111−iii−ii−i−ii00003−33−3−33−331-1-112i−2i−2i2i−iii−ii−i−ii0000000000i3−i3−i3i3−i3i3i3−i300000000−333−3000000000000
χ822-2-2-2222-2-222-2-1211-1-1-2221-2-2-12-21-12i−2i−2i2i1-1-11-222-21-11-1-111−iii−ii−i−ii0000−33−333−33−31-1-112i−2i−2i2i−iii−ii−i−ii0000000000−i3i3i3−i3i3−i3−i3i3000000003−3−33000000000000
χ832-2-2-2222-2-222-2-1211-1-1-2221-2-2-12-21-1−2i2i2i−2i1-1-11-222-21-11-1-111i−i−ii−iii−i00003−33−3−33−331-1-11−2i2i2i−2ii−i−ii−iii−i0000000000−i3i3i3−i3i3−i3−i3i300000000−333−3000000000000
χ842-2-2-2222-2-222-2-1211-1-1-2221-2-2-12-21-1−2i2i2i−2i1-1-11-222-21-11-1-111i−i−ii−iii−i0000−33−333−33−31-1-11−2i2i2i−2ii−i−ii−iii−i0000000000i3−i3−i3i3−i3i3i3−i3000000003−3−33000000000000
χ85444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-21111111-2-2-2-2-2-2-2-20000000000001111-2-2-2-211111111000000000000000000000000000000000000000000
χ86444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-211111112222222200000000000011112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4222222221111111-2-2-2-22222000000000000-1-1-1-1-2-2221111-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4442222222211111112222-2-2-2-2000000000000-1-1-1-122-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ89444-4-4-44-4000044-44-444-4444-4-4-4-4-44000000000000-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ90444-4-4-44-400004-2-44-44-22-24-22-422-4-200000000000022-22-2-22000000000000000000000000000000000000000000000000000000000023−23−23230000000000000000
χ91444-4-4-44-400004-2-44-44-22-24-22-422-4-200000000000022-22-2-220000000000000000000000000000000000000000000000000000000000−232323−230000000000000000
χ92444-4-4-44-40000-242-22-24-44-24-42-4-42-200000000000022-22-2-2200000000000023−23−232323−23−23230000000000000000000000000000000000000000000000000000000000
χ93444-4-4-44-40000-242-22-24-44-24-42-4-42-200000000000022-22-2-22000000000000−232323−23−232323−230000000000000000000000000000000000000000000000000000000000
χ9444-444-4-4-444-4-44-244-4-4-222-4224-2-2-4-2000044-4-4-2-222-2-2-2222200000000000000000000-2-222000000000000000000000000000000000000000000000000000000
χ9544-444-4-4-444-4-4-2-2-2-222-222222-2-2-2210000-2-222-2-222111-1-1-1-12323−23−232323−23−2300000000000011-1-10000−3−333−3−333000000000000000000000000000000000000000000
χ9644-444-4-4-444-4-4-2-2-2-222-222222-2-2-2210000-2-222-2-222111-1-1-1-1−23−232323−23−23232300000000000011-1-1000033−3−333−3−3000000000000000000000000000000000000000000
χ9744-444-4-4-4-4-4444-244-4-4-222-4224-2-2-4-20000-4-44422-2-2-2-2-222220000000000000000000022-2-2000000000000000000000000000000000000000000000000000000
χ9844-444-4-4-4-4-444-2-2-2-222-222222-2-2-221000022-2-222-2-2111-1-1-1-12323−23−23−23−232323000000000000-1-1110000−3−33333−3−3000000000000000000000000000000000000000000
χ9944-444-4-4-4-4-444-2-2-2-222-222222-2-2-221000022-2-222-2-2111-1-1-1-1−23−2323232323−23−23000000000000-1-111000033−3−3−3−333000000000000000000000000000000000000000000
χ10044-4-4-44-44000044-444-444-4-4-44-4-4-444000000000000-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-44-4400004-2-444-4-2-22-42-2-4224-200000000000022-2-222-200000000000000000000000000000000000000000000000000000023−23−232300000000000000000000
χ10244-4-4-44-4400004-2-444-4-2-22-42-2-4224-200000000000022-2-222-2000000000000000000000000000000000000000000000000000000−232323−2300000000000000000000
χ10344-4-4-44-440000-242-2-2244-42-442-4-4-2-200000000000022-2-222-2000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ10444-4-4-44-440000-242-2-2244-42-442-4-4-2-200000000000022-2-222-20000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1054-444-44-4-400004-24-44-42-224-22-42-2-4-2000000000000-222-22-2200000000000000000000000000000000000000004-4000000000000-2-22200000000000000000000
χ1064-444-44-4-400004-24-44-42-224-22-42-2-4-2000000000000-222-22-220000000000000000000000000000000000000000-4400000000000022-2-200000000000000000000
χ1074-444-44-4-40000-24-22-22-44-4-24-42-442-2000000000000-222-22-22000000004i−4i4i−4i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ1084-444-44-4-40000-24-22-22-44-4-24-42-442-2000000000000-222-22-2200000000−4i4i−4i4i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ1094-44-44-4-444-44-44-2-4-4-4-42224-2-24-224-200004-44-4-22-222-2222-2-200000000000000000000-22-22000000000000000000000000000000000000000000000000000000
χ1104-44-44-4-444-44-4-2-22222222-2-2-2-2-22-210000-22-22-22-22-11-1-1-111−2i32i3−2i32i3−2i32i3−2i32i30000000000001-11-10000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1114-44-44-4-444-44-4-2-22222222-2-2-2-2-22-210000-22-22-22-22-11-1-1-1112i3−2i32i3−2i32i3−2i32i3−2i30000000000001-11-10000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1124-44-44-4-44-44-444-2-4-4-4-42224-2-24-224-20000-44-442-22-22-2222-2-2000000000000000000002-22-2000000000000000000000000000000000000000000000000000000
χ1134-44-44-4-44-44-44-2-22222222-2-2-2-2-22-2100002-22-22-22-2-11-1-1-111−2i32i3−2i32i32i3−2i32i3−2i3000000000000-11-110000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1144-44-44-4-44-44-44-2-22222222-2-2-2-2-22-2100002-22-22-22-2-11-1-1-1112i3−2i32i3−2i3−2i32i3−2i32i3000000000000-11-110000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1154-4-44-4-44400004-24-4-4422-2-42-2-42-24-2000000000000-2222-22-20000000000000000000000000000000000000000004-400000000000000-2-2220000000000000000
χ1164-4-44-4-44400004-24-4-4422-2-42-2-42-24-2000000000000-2222-22-2000000000000000000000000000000000000000000-440000000000000022-2-20000000000000000
χ1174-4-44-4-4440000-24-222-2-4-442-442-44-2-2000000000000-2222-22-2000000004-4-44-2-22222-2-20000000000000000000000000000000000000000000000000000000000
χ1184-4-44-4-4440000-24-222-2-4-442-442-44-2-2000000000000-2222-22-200000000-444-422-2-2-2-2220000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4444-44-4-44-2-222-2-22-2-2222-2-22214i−4i4i−4i-222-2-222-2-11-111-1-1−2i2i2i−2i−2i2i2i−2i0000000000001-1-11−2i2i−2i2ii−i−iii−i−ii000000000000000000000000000000000000000000
χ1204-4-4-4444-44-4-44-2-222-2-22-2-2222-2-2221−4i4i−4i4i-222-2-222-2-11-111-1-12i−2i−2i2i2i−2i−2i2i0000000000001-1-112i−2i2i−2i−iii−i−iii−i000000000000000000000000000000000000000000
χ1214-4-4-4444-4-444-4-2-222-2-22-2-2222-2-22214i−4i−4i4i2-2-222-2-22-11-111-1-1−2i2i2i−2i2i−2i−2i2i000000000000-111-1−2i2i2i−2ii−i−ii−iii−i000000000000000000000000000000000000000000
χ1224-4-4-4444-4-444-4-2-222-2-22-2-2222-2-2221−4i4i4i−4i2-2-222-2-22-11-111-1-12i−2i−2i2i−2i2i2i−2i000000000000-111-12i−2i−2i2i−iii−ii−i−ii000000000000000000000000000000000000000000
χ123888-8-8-88-80000-4-44-44-4-44-4-4-4444442000000000000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-88-880000-4-44-4-44-4-4444-4444-42000000000000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-888-88-8-80000-4-4-44-444-44-4-4444-4420000000000002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-8-8880000-4-4-444-444-444-444-4-420000000000002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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