Finite Group Databasebeta

← Group #10814908

Character table — Group #10814908

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222224444444444444444444444666666666666666688888888888888888888888812121212121212121212121216161616242424242424
order122222223444444446666666444444888888881212121212121212444444448888888844444412121212121212121212242424242424242444444444888812121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111
χ101111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ111111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1
χ121111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-111
χ131111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11111111111-1-111-1-1-1-1
χ141111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-111-1-111-1-1
χ1711-1-11-1-111-1ii−i−i11-11-1-11-1-11i−i11-1-111-1-1ii−i−iii−i−i1-11-1ii−i−i11-1-11111-1-1-1-11-1i−ii−ii−i11-1-1ii−i−i11-1-1ii−i−ii−i1-111-1-1ii−i−ii−i1-11-1i−ii−i
χ1811-1-11-1-111-1ii−i−i11-11-1-11-1-11i−i11-1-111-1-1ii−i−iii−i−i1-11-1−i−iii-1-111-1-1-1-111111-1i−ii−ii−i11-1-1ii−i−i11-1-1ii−i−i−ii-11-1-111−i−iiii−i1-1-11−ii−ii
χ1911-1-11-1-111-1ii−i−i11-11-1-11-1-11i−i11-1-1-1-111−i−iiiii−i−i1-11-1ii−i−i11-1-1-1-1-1-11111-11i−i−iii−i11-1-1ii−i−i-1-111−i−iiii−i1-1-1-111−i−iii−ii-111-1i−i−ii
χ2011-1-11-1-111-1ii−i−i11-11-1-11-1-11i−i11-1-1-1-111−i−iiiii−i−i1-11-1−i−iii-1-1111111-1-1-1-1-11i−i−iii−i11-1-1ii−i−i-1-111−i−iii−ii-1111-1-1ii−i−i−ii-11-11−iii−i
χ2111-1-11-1-111-1ii−i−i11-11-1-11-1-11i−i-1-11111-1-1ii−i−iii−i−i1-11-1ii−i−i11-1-11111-1-1-1-1-11−ii−iii−i-1-111−i−iii11-1-1ii−i−ii−i1-1-1-111ii−i−i−ii-11-11−ii−ii
χ2211-1-11-1-111-1ii−i−i11-11-1-11-1-11i−i-1-11111-1-1ii−i−iii−i−i1-11-1−i−iii-1-111-1-1-1-11111-11−ii−iii−i-1-111−i−iii11-1-1ii−i−i−ii-1111-1-1−i−iii−ii-111-1i−ii−i
χ2311-1-11-1-111-1ii−i−i11-11-1-11-1-11i−i-1-111-1-111−i−iiiii−i−i1-11-1ii−i−i11-1-1-1-1-1-111111-1−iii−ii−i-1-111−i−iii-1-111−i−iiii−i1-111-1-1−i−iiii−i1-1-11−iii−i
χ2411-1-11-1-111-1ii−i−i11-11-1-11-1-11i−i-1-111-1-111−i−iiiii−i−i1-11-1−i−iii-1-1111111-1-1-1-11-1−iii−ii−i-1-111−i−iii-1-111−i−iii−ii-11-1-111ii−i−ii−i1-11-1i−i−ii
χ2511-1-11-1-111-1−i−iii11-11-1-11-1-11−ii11-1-111-1-1−i−iii−i−iii1-11-1ii−i−i-1-111-1-1-1-111111-1−ii−ii−ii11-1-1−i−iii11-1-1−i−iiii−i-11-1-111ii−i−i−ii1-1-11i−ii−i
χ2611-1-11-1-111-1−i−iii11-11-1-11-1-11−ii11-1-111-1-1−i−iii−i−iii1-11-1−i−iii11-1-11111-1-1-1-11-1−ii−ii−ii11-1-1−i−iii11-1-1−i−iii−ii1-111-1-1−i−iii−ii1-11-1−ii−ii
χ2711-1-11-1-111-1−i−iii11-11-1-11-1-11−ii11-1-1-1-111ii−i−i−i−iii1-11-1ii−i−i-1-1111111-1-1-1-1-11−iii−i−ii11-1-1−i−iii-1-111ii−i−ii−i-1111-1-1−i−iiii−i-11-11i−i−ii
χ2811-1-11-1-111-1−i−iii11-11-1-11-1-11−ii11-1-1-1-111ii−i−i−i−iii1-11-1−i−iii11-1-1-1-1-1-11111-11−iii−i−ii11-1-1−i−iii-1-111ii−i−i−ii1-1-1-111ii−i−ii−i-111-1−iii−i
χ2911-1-11-1-111-1−i−iii11-11-1-11-1-11−ii-1-11111-1-1−i−iii−i−iii1-11-1ii−i−i-1-111-1-1-1-11111-11i−ii−i−ii-1-111ii−i−i11-1-1−i−iiii−i-1111-1-1ii−i−ii−i-111-1−ii−ii
χ3011-1-11-1-111-1−i−iii11-11-1-11-1-11−ii-1-11111-1-1−i−iii−i−iii1-11-1−i−iii11-1-11111-1-1-1-1-11i−ii−i−ii-1-111ii−i−i11-1-1−i−iii−ii1-1-1-111−i−iiii−i-11-11i−ii−i
χ3111-1-11-1-111-1−i−iii11-11-1-11-1-11−ii-1-111-1-111ii−i−i−i−iii1-11-1ii−i−i-1-1111111-1-1-1-11-1i−i−ii−ii-1-111ii−i−i-1-111ii−i−ii−i-11-1-111−i−iii−ii1-11-1−iii−i
χ3211-1-11-1-111-1−i−iii11-11-1-11-1-11−ii-1-111-1-111ii−i−i−i−iii1-11-1−i−iii11-1-1-1-1-1-111111-1i−i−ii−ii-1-111ii−i−i-1-111ii−i−i−ii1-111-1-1ii−i−i−ii1-1-11i−i−ii
χ33222222222-22222-2-2-22222222-2-20000000000002222-2-2-2-22222222200000000000000-2-20000000000000000-2-2-2-2000000000000000000
χ34222222222-22222-2-2-22222222-2-20000000000002222-2-2-2-2-2-2-2-2-2-2-2-200000000000000-2-200000000000000002222000000000000000000
χ35222222222-2-2-2-2-2-2-2-2222222222000000000000-2-2-2-2-2-2-2-22222-2-2-2-200000000000000220000000000000000-2-222000000000000000000
χ36222222222-2-2-2-2-2-2-2-2222222222000000000000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000022000000000000000022-2-2000000000000000000
χ3722222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-10000000000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000
χ3822222222-122222222-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000000000000-2-222-2-2-1-1-1-1-1-1-1-1-1-1111111110000000000001111000000
χ3922222222-122222222-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-10000000000001111000000
χ4022222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000000000000022-2-222-1-11111111111111111000000000000-1-1-1-1000000
χ4122222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-222222222-2-2-2-21111-1-1-1-1000000000000000022-2-2-2-211-1-1-1-11111-1-1-1-1111100000000000011-1-1000000
χ4222222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-222221111-1-1-1-10000000000000000-2-2-2-22211-1-1-1-111111111-1-1-1-1000000000000-1-111000000
χ4322222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-2-2-21111-1-1-1-10000000000000000-2-22222111111-1-1-1-1-1-1-1-11111000000000000-1-111000000
χ4422222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-222221111-1-1-1-100000000000000002222-2-2111111-1-1-1-11111-1-1-1-100000000000011-1-1000000
χ452222-2-2-2-22-20000-222-222-2-2-22002i−2i2i−2i0000000000002-2-220000000022-2-222-2-2000000002i−2i2i−2i00000000000000002i−2i2i−2i00000000000000
χ462222-2-2-2-22-20000-222-222-2-2-22002i−2i2i−2i0000000000002-2-2200000000-2-222-2-222000000002i−2i2i−2i0000000000000000−2i2i−2i2i00000000000000
χ472222-2-2-2-22-20000-222-222-2-2-2200−2i2i−2i2i0000000000002-2-220000000022-2-222-2-200000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000
χ482222-2-2-2-22-20000-222-222-2-2-2200−2i2i−2i2i0000000000002-2-2200000000-2-222-2-22200000000−2i2i−2i2i00000000000000002i−2i2i−2i00000000000000
χ4922-2-22-2-22222i2i−2i−2i-2-222-2-22-2-22−2i2i0000000000002i2i−2i−2i-22-222i2i−2i−2i22-2-200000000000000−2i2i0000000000000000−2i2i-22000000000000000000
χ5022-2-22-2-22222i2i−2i−2i-2-222-2-22-2-22−2i2i0000000000002i2i−2i−2i-22-22−2i−2i2i2i-2-22200000000000000−2i2i00000000000000002i−2i2-2000000000000000000
χ5122-2-22-2-2222−2i−2i2i2i-2-222-2-22-2-222i−2i000000000000−2i−2i2i2i-22-222i2i−2i−2i-2-222000000000000002i−2i0000000000000000−2i2i2-2000000000000000000
χ5222-2-22-2-2222−2i−2i2i2i-2-222-2-22-2-222i−2i000000000000−2i−2i2i2i-22-22−2i−2i2i2i22-2-2000000000000002i−2i00000000000000002i−2i-22000000000000000000
χ5322-2-22-2-22-1-22i2i−2i−2i22-2-111-111-12i−2i22-2-222-2-22i2i−2i−2i−i−iii-11-1100000000000000002-22i−2i2i−2i−ii-1-111−i−iii-1-111−i−iii000000000000−ii-11000000
χ5422-2-22-2-22-1-22i2i−2i−2i22-2-111-111-12i−2i22-2-2-2-222−2i−2i2i2i−i−iii-11-110000000000000000-222i−2i−2i2i−ii-1-111−i−iii11-1-1ii−i−i000000000000i−i1-1000000
χ5522-2-22-2-22-1-22i2i−2i−2i22-2-111-111-12i−2i-2-22222-2-22i2i−2i−2i−i−iii-11-110000000000000000-22−2i2i−2i2i−ii11-1-1ii−i−i-1-111−i−iii000000000000i−i1-1000000
χ5622-2-22-2-22-1-22i2i−2i−2i22-2-111-111-12i−2i-2-222-2-222−2i−2i2i2i−i−iii-11-1100000000000000002-2−2i2i2i−2i−ii11-1-1ii−i−i11-1-1ii−i−i000000000000−ii-11000000
χ5722-2-22-2-22-1-2−2i−2i2i2i22-2-111-111-1−2i2i22-2-222-2-2−2i−2i2i2iii−i−i-11-1100000000000000002-2−2i2i−2i2ii−i-1-111ii−i−i-1-111ii−i−i000000000000i−i-11000000
χ5822-2-22-2-22-1-2−2i−2i2i2i22-2-111-111-1−2i2i22-2-2-2-2222i2i−2i−2iii−i−i-11-110000000000000000-22−2i2i2i−2ii−i-1-111ii−i−i11-1-1−i−iii000000000000−ii1-1000000
χ5922-2-22-2-22-1-2−2i−2i2i2i22-2-111-111-1−2i2i-2-22222-2-2−2i−2i2i2iii−i−i-11-110000000000000000-222i−2i2i−2ii−i11-1-1−i−iii-1-111ii−i−i000000000000−ii1-1000000
χ6022-2-22-2-22-1-2−2i−2i2i2i22-2-111-111-1−2i2i-2-222-2-2222i2i−2i−2iii−i−i-11-1100000000000000002-22i−2i−2i2ii−i11-1-1−i−iii11-1-1−i−iii000000000000i−i-11000000
χ6122-2-2-222-2220000-22-2-2-2-2-2222002i−2i−2i2i00000000000022-2-20000000022-2-2-2-222000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000000000
χ6222-2-2-222-2220000-22-2-2-2-2-2222002i−2i−2i2i00000000000022-2-200000000-2-22222-2-2000000002i−2i−2i2i0000000000000000−2i2i2i−2i00000000000000
χ6322-2-2-222-2220000-22-2-2-2-2-222200−2i2i2i−2i00000000000022-2-20000000022-2-2-2-22200000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000000000
χ6422-2-2-222-2220000-22-2-2-2-2-222200−2i2i2i−2i00000000000022-2-200000000-2-22222-2-200000000−2i2i2i−2i00000000000000002i−2i−2i2i00000000000000
χ652-22-222-2-2202-22-2000-22-222-2-2000000−i2i2−i2i2−i2i2−i2i22-22-200002-22-22-22-2−i2i2−i2i2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i20000000000
χ662-22-222-2-2202-22-2000-22-222-2-2000000−i2i2−i2i2−i2i2−i2i22-22-20000-22-22-22-22i2−i2i2−i2i2−i2i2−i20000000000000000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i20000000000
χ672-22-222-2-2202-22-2000-22-222-2-2000000i2−i2i2−i2i2−i2i2−i22-22-200002-22-22-22-2i2−i2i2−i2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i20000000000
χ682-22-222-2-2202-22-2000-22-222-2-2000000i2−i2i2−i2i2−i2i2−i22-22-20000-22-22-22-22−i2i2−i2i2−i2i2−i2i20000000000000000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i20000000000
χ692-22-222-2-220-22-22000-22-222-2-2000000−i2i2−i2i2i2−i2i2−i2-22-2200002-22-2-22-22i2−i2i2−i2i2−i2i2−i20000000000000000−i2i2−i2i2i2−i2i2−i200000000−i2i2−i2i20000000000
χ702-22-222-2-220-22-22000-22-222-2-2000000−i2i2−i2i2i2−i2i2−i2-22-220000-22-222-22-2−i2i2−i2i2−i2i2−i2i20000000000000000−i2i2−i2i2i2−i2i2−i200000000i2−i2i2−i20000000000
χ712-22-222-2-220-22-22000-22-222-2-2000000i2−i2i2−i2−i2i2−i2i2-22-2200002-22-2-22-22−i2i2−i2i2−i2i2−i2i20000000000000000i2−i2i2−i2−i2i2−i2i200000000i2−i2i2−i20000000000
χ722-22-222-2-220-22-22000-22-222-2-2000000i2−i2i2−i2−i2i2−i2i2-22-220000-22-222-22-2i2−i2i2−i2i2−i2i2−i20000000000000000i2−i2i2−i2−i2i2−i2i200000000−i2i2−i2i20000000000
χ732-2-222-22-2202i−2i−2i2i000-2-222-22-2000000−i2i2i2−i22−2−222i−2i−2i2i00002i−2i−2i2i2-2-22−i2i2−i2i2i2−i2i2−i20000000000000000−i2i2i2−i22−2−22000000002−2−220000000000
χ742-2-222-22-2202i−2i−2i2i000-2-222-22-2000000−i2i2i2−i22−2−222i−2i−2i2i0000−2i2i2i−2i-222-2i2−i2i2−i2−i2i2−i2i20000000000000000−i2i2i2−i22−2−2200000000−222−20000000000
χ752-2-222-22-2202i−2i−2i2i000-2-222-22-2000000i2−i2−i2i2−222−22i−2i−2i2i00002i−2i−2i2i2-2-22i2−i2i2−i2−i2i2−i2i20000000000000000i2−i2−i2i2−222−200000000−222−20000000000
χ762-2-222-22-2202i−2i−2i2i000-2-222-22-2000000i2−i2−i2i2−222−22i−2i−2i2i0000−2i2i2i−2i-222-2−i2i2−i2i2i2−i2i2−i20000000000000000i2−i2−i2i2−222−2000000002−2−220000000000
χ772-2-222-22-220−2i2i2i−2i000-2-222-22-2000000−i2i2i2−i2−222−2−2i2i2i−2i00002i−2i−2i2i-222-2i2−i2i2−i2−i2i2−i2i20000000000000000−i2i2i2−i2−222−2000000002−2−220000000000
χ782-2-222-22-220−2i2i2i−2i000-2-222-22-2000000−i2i2i2−i2−222−2−2i2i2i−2i0000−2i2i2i−2i2-2-22−i2i2−i2i2i2−i2i2−i20000000000000000−i2i2i2−i2−222−200000000−222−20000000000
χ792-2-222-22-220−2i2i2i−2i000-2-222-22-2000000i2−i2−i2i22−2−22−2i2i2i−2i00002i−2i−2i2i-222-2−i2i2−i2i2i2−i2i2−i20000000000000000i2−i2−i2i22−2−2200000000−222−20000000000
χ802-2-222-22-220−2i2i2i−2i000-2-222-22-2000000i2−i2−i2i22−2−22−2i2i2i−2i0000−2i2i2i−2i2-2-22i2−i2i2−i2−i2i2−i2i20000000000000000i2−i2−i2i22−2−22000000002−2−220000000000
χ8144444444-2-44444-4-4-4-2-2-2-2-2-2-2-4-4000000000000-2-2-2-2222200000000000000000000002200000000000000000000000000000000000000
χ8244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244000000000000222222220000000000000000000000-2-200000000000000000000000000000000000000
χ834444-4-4-4-44400004-4-4-444-4-4-44000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000
χ844444-4-4-4-4-2400004-4-42-2-2222-20000000000000000002-2-22000000000000000000000000000023−2323−23000000000000000000000000000000
χ854444-4-4-4-4-2400004-4-42-2-2222-20000000000000000002-2-220000000000000000000000000000−2323−2323000000000000000000000000000000
χ864444-4-4-4-4-2-40000-4442-2-2222-2004i−4i4i−4i000000000000-222-2000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000
χ874444-4-4-4-4-2-40000-4442-2-2222-200−4i4i−4i4i000000000000-222-20000000000000000000000002i−2i2i−2i0000000000000000000000000000000000
χ8844-4-44-4-44-244i4i−4i−4i-4-44-222-222-2−4i4i000000000000−2i−2i2i2i2-22-200000000000000000000002i−2i00000000000000000000000000000000000000
χ8944-4-44-4-44-24−4i−4i4i4i-4-44-222-222-24i−4i0000000000002i2i−2i−2i2-22-20000000000000000000000−2i2i00000000000000000000000000000000000000
χ9044-4-4-444-44-400004-44-4-4-4-4444000000000000000000-4-44400000000000000000000000000000000000000000000000000000000000000
χ9144-4-4-444-4-240000-44-42222-2-2-2004i−4i−4i4i000000000000-2-222000000000000000000000000−2i2i2i−2i0000000000000000000000000000000000
χ9244-4-4-444-4-240000-44-42222-2-2-200−4i4i4i−4i000000000000-2-2220000000000000000000000002i−2i−2i2i0000000000000000000000000000000000
χ9344-4-4-444-4-2-400004-442222-2-2-200000000000000000022-2-20000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ9444-4-4-444-4-2-400004-442222-2-2-200000000000000000022-2-200000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ954-44-444-4-4-204-44-40002-22-2-222000000−2i22i2−2i22i2−2i22i2−2i22i2-22-22000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i20000000000000000000000
χ964-44-444-4-4-204-44-40002-22-2-2220000002i2−2i22i2−2i22i2−2i22i2−2i2-22-22000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i20000000000000000000000
χ974-44-444-4-4-20-44-440002-22-2-222000000−2i22i2−2i22i22i2−2i22i2−2i22-22-2000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000000000000000000000
χ984-44-444-4-4-20-44-440002-22-2-2220000002i2−2i22i2−2i2−2i22i2−2i22i22-22-2000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000000000000000000000
χ994-44-4-4-44440000000044-4-4-44-4000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ1004-44-4-4-44440000000044-4-4-44-40000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ1014-4-444-44-4-204i−4i−4i4i00022-2-22-22000000−2i22i22i2−2i222−22−2222−2i2i2i−2i000000000000000000000000000000000000i2−i2−i2i2−222−20000000000000000000000
χ1024-4-444-44-4-204i−4i−4i4i00022-2-22-220000002i2−2i2−2i22i2−222222−22−2i2i2i−2i000000000000000000000000000000000000−i2i2i2−i22−2−220000000000000000000000
χ1034-4-444-44-4-20−4i4i4i−4i00022-2-22-22000000−2i22i22i2−2i2−222222−222i−2i−2i2i000000000000000000000000000000000000i2−i2−i2i22−2−220000000000000000000000
χ1044-4-444-44-4-20−4i4i4i−4i00022-2-22-220000002i2−2i2−2i22i222−22−22222i−2i−2i2i000000000000000000000000000000000000−i2i2i2−i2−222−20000000000000000000000
χ1054-4-44-44-444000000004-44-44-4-4000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ1064-4-44-44-444000000004-44-44-4-40000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ1078-88-8-8-888-400000000-4-4444-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-88-400000000-44-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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