Finite Group Databasebeta

← Group #13162008

Character table — Group #13162008

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444448888888888888888888888888888888888888363636363636363636363636363636363636727272727272727272
order1222333446666666663333366666666666666612121212121241212121212121212121212121212121212121212121212121212121212121212121212124488881212121224242424242424242446612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-2000000000000000000002-2000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-220000-2-22200000000000000000
χ11222222-12222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000000-1-1-1-10000200-1-10000
χ12222222-12222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000011110000-200110000
χ13222222-12222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-211-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111110022000000-1-1-1-10000-200110000
χ14222222-12222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-211-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100-2-200000011110000200-1-10000
χ1522222-122222222-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-10000000002000-1-100
χ1622222-122222222-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200001111000000000-20001100
χ1722222-122222222-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-122-2-2-2-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111220000-1-1-1-1000000000-20001100
χ1822222-122222222-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-122-2-2-2-2-211-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2000011110000000002000-1-100
χ1922222-12-2-222222-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-200000−i3i311-2-2111111−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i32-20000-1-1110000000000000−i3i300
χ2022222-12-2-222222-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-200000−i3i311-2-2111111−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-22000011-1-10000000000000i3−i300
χ2122222-12-2-222222-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-200000i3−i311-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i32-20000-1-1110000000000000i3−i300
χ2222222-12-2-222222-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-200000i3−i311-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-22000011-1-10000000000000−i3i300
χ232222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1222-1222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100002200000000-1-1-1-10020000-1-1
χ242222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1222-1222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-200000000111100-2000011
χ252222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1222-1-2-2-211-2-2-1-1-1-122-1-1-1-111111111-2-21111-2-2111100002200000000-1-1-1-100-2000011
χ262222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1222-1-2-2-211-2-2-1-1-1-122-1-1-1-111111111-2-21111-2-211110000-2-20000000011110020000-1-1
χ272-2-222222-2-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-20000000000000000000000002-20000000022-2-2000000000
χ282-2-222222-2-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-2000000000000000000000000-2200000000-2-222000000000
χ292-2-22222-22-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-22200000000000000000000002-200000022-2-20000000000000
χ302-2-22222-22-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-2220000000000000000000000-22000000-2-2220000000000000
χ312-2-2222-1-22-2-211-1-2-2222-1-1-1-1-2-2111111112-1-1-1-112-22-1-20−i3i30000-221-11-111-1-10000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3002-2000000-1-1110000000−i3i30000
χ322-2-2222-1-22-2-211-1-2-2222-1-1-1-1-2-2111111112-1-1-1-112-22-1-20−i3i30000-221-11-111-1-10000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i300-2200000011-1-10000000i3−i30000
χ332-2-2222-1-22-2-211-1-2-2222-1-1-1-1-2-2111111112-1-1-1-112-22-1-20i3−i30000-221-11-111-1-10000i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3002-2000000-1-1110000000i3−i30000
χ342-2-2222-1-22-2-211-1-2-2222-1-1-1-1-2-2111111112-1-1-1-112-22-1-20i3−i30000-221-11-111-1-10000i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i300-2200000011-1-10000000−i3i30000
χ352-2-22-1222-211-2-22-2-2-12-1-12-1-11111-2-21111-1-12-1-1212-2-2-1000−i3i300-11-112-2-1-111−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i300002-200000000-1-1110000000−i3i3
χ362-2-22-1222-211-2-22-2-2-12-1-12-1-11111-2-21111-1-12-1-1212-2-2-1000−i3i300-11-112-2-1-111−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i30000-220000000011-1-10000000i3−i3
χ372-2-22-1222-211-2-22-2-2-12-1-12-1-11111-2-21111-1-12-1-1212-2-2-1000i3−i300-11-112-2-1-111i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i300002-200000000-1-1110000000i3−i3
χ382-2-22-1222-211-2-22-2-2-12-1-12-1-11111-2-21111-1-12-1-1212-2-2-1000i3−i300-11-112-2-1-111i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i30000-220000000011-1-10000000−i3i3
χ39444444-2-4-444-2-2-244444-2-2-2-244-2-2-2-2-2-2-2-24-2-2-2-22-4-4-42-40000000-4-42222222200000000000000000000000000000000000000000000000
χ4044444-2-24444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-2111-24-2-2-244-2-244-2-2-2-2-2-2111111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000
χ4144444-2-24444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-2111-24-2-2-24-422-4-422-2-2-2-211111122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ4244444-2-2-4-444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-21112-4222-400000−2i32i32222-1-1-1-1-1-1−2i3−2i32i32i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000000000000000000
χ4344444-2-2-4-444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-21112-4222-4000002i3−2i32222-1-1-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000000000000000000
χ444444-244-4-4-2-244444-24-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-2-42-4-4-4200000002222-4-4222200000000000000000000000000000000000000000000000
χ454444-24-244-2-2-2-2-244-24-21-211-2-211-2-21111-21-211-2-244-2-24-2-2-2-244-2-211-2-21111-2-2-2-21111-2-21111-2-21111000000000000000000000000000
χ464444-24-244-2-2-2-2-244-24-21-211-2-211-2-21111-21-211-2-244-2-2-42222-4-4-2-211-2-211112222-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000000000000
χ474444-24-2-4-4-2-2-2-2-244-24-21-211-2-211-2-21111-21-21122-4-422000000022-1-122-1-1-1-100003-3-33003-3-33003-3-33000000000000000000000000000
χ484444-24-2-4-4-2-2-2-2-244-24-21-211-2-211-2-21111-21-21122-4-422000000022-1-122-1-1-1-10000-333-300-333-300-333-3000000000000000000000000000
χ494444-2-2444-2-2444-2-2-2-21-2-21111-2-2-2-211111-2-2114-2-2-24-2444-2-2-2-211-2-2-2-211111111-2-2-2-2-2-21111-2-21111000000000000000000000000000
χ504444-2-2444-2-2444-2-2-2-21-2-21111-2-2-2-211111-2-2114-2-2-24-2-4-4-4222211-2-2-2-21111-1-1-1-1222222-1-1-1-122-1-1-1-1000000000000000000000000000
χ514444-2-24-4-4-2-2444-2-2-2-21-2-21111-2-2-2-211111-2-211-4222-4200000−2i32i3-1-12222-1-1-1-1i3i3−i3−i30000−2i3−2i3i3i3i3i32i32i3−i3−i3−i3−i3000000000000000000000000000
χ524444-2-24-4-4-2-2444-2-2-2-21-2-21111-2-2-2-211111-2-211-4222-42000002i3−2i3-1-12222-1-1-1-1−i3−i3i3i300002i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3000000000000000000000000000
χ534444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i321111111111−1−3i32−1+3i32−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000000
χ544444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-11−3i321+3i321+3i321−3i32000000000000000000000000000
χ554444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i321111111111−1+3i32−1−3i32−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000000
χ564444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-11+3i321−3i321−3i321+3i32000000000000000000000000000
χ574444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i3222222200000−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32i3i3−i3−i33-3-33i3i3−3−i323−i323−i32−3−i32−i3−i3−3+i323+i323+i32−3+i32000000000000000000000000000
χ584444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32222222000002i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32−i3−i3i3i3-333-3−i3−i33+i32−3+i32−3+i323+i32i3i33−i32−3−i32−3−i323−i32000000000000000000000000000
χ594444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i3222222200000−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32i3i3−i3−i3-333-3i3i33−i32−3−i32−3−i323−i32−i3−i33+i32−3+i32−3+i323+i32000000000000000000000000000
χ604444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32222222000002i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32−i3−i3i3i33-3-33−i3−i3−3+i323+i323+i32−3+i32i3i3−3−i323−i323−i32−3−i32000000000000000000000000000
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χ784-4-444-2-24-4-4-422-2224-2-2-21112222-1-1-1-1-1-1-2-2111-2-4-22240000000-22-221-111-1-1000000003-333-3-3-33-3-333000000000000000000000000000
χ794-4-444-2-24-4-4-422-2224-2-2-21112222-1-1-1-1-1-1-2-2111-2-4-22240000000-22-221-111-1-100000000-33-3-3333-333-3-3000000000000000000000000000
χ804-4-444-2-2-44-4-422-2224-2-2-21112222-1-1-1-1-1-1-2-2111242-2-2-40−2i32i300002-22-2-11-1-1110000−2i3−2i32i32i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3000000000000000000000000000
χ814-4-444-2-2-44-4-422-2224-2-2-21112222-1-1-1-1-1-1-2-2111242-2-2-402i3−2i300002-22-2-11-1-11100002i32i3−2i3−2i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3000000000000000000000000000
χ824-4-44-244-4422-4-44-4-4-24-2-24-2-22222-4-42222-2-24-2-2-4-2-444200000002-22-2-4422-2-200000000000000000000000000000000000000000000000
χ834-4-44-24-24-42222-2-4-4-24-21-21122-1-122-1-1-1-1-21-211-224-42-2000−2i32i300-221-1-2211-1-1−2i32i3−2i32i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3000000000000000000000000000
χ844-4-44-24-24-42222-2-4-4-24-21-21122-1-122-1-1-1-1-21-211-224-42-20002i3−2i300-221-1-2211-1-12i3−2i32i3−2i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3000000000000000000000000000
χ854-4-44-24-2-442222-2-4-4-24-21-21122-1-122-1-1-1-1-21-2112-2-44-220−2i32i300002-2-112-2-1-1110000i3i3−i3−i3−2i32i3i3i3−i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000
χ864-4-44-24-2-442222-2-4-4-24-21-21122-1-122-1-1-1-1-21-2112-2-44-2202i3−2i300002-2-112-2-1-1110000−i3−i3i3i32i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i3000000000000000000000000000
χ874-4-44-2-244-422-4-4422-2-21-2-211-1-12222-1-1-1-11-2-21142-22-4-2000−2i32i3001-1-22-2211-1-1i3−i3i3−i3−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i3000000000000000000000000000
χ884-4-44-2-244-422-4-4422-2-21-2-211-1-12222-1-1-1-11-2-21142-22-4-20002i3−2i3001-1-22-2211-1-1−i3i3−i3i32i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i3000000000000000000000000000
χ894-4-44-2-24-4422-4-4422-2-21-2-211-1-12222-1-1-1-11-2-211-4-22-2420000000-112-22-2-1-1113-3-330000003-33-300-33-33000000000000000000000000000
χ904-4-44-2-24-4422-4-4422-2-21-2-211-1-12222-1-1-1-11-2-211-4-22-2420000000-112-22-2-1-111-333-3000000-33-33003-33-3000000000000000000000000000
χ914-4-44-2-2-24-42222-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222-2000−2i32i3001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32-333−i323+i32−3−i32−3+i32000000000000000000000000000
χ924-4-44-2-2-24-42222-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222-20002i3−2i3001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i323-3−3+i32−3−i323+i323−i32000000000000000000000000000
χ934-4-44-2-2-24-42222-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-2000−2i32i3001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i323-3−3−i32−3+i323−i323+i32000000000000000000000000000
χ944-4-44-2-2-24-42222-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-20002i3−2i3001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32-333+i323−i32−3+i32−3−i32000000000000000000000000000
χ954-4-44-2-2-2-442222-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-220−2i32i30000-11-11-111+3i321−3i32−1−3i32−1+3i323-3-33i3i3−i3−i3i3−i3−3−i323−i32−3+i323+i32i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000
χ964-4-44-2-2-2-442222-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-2202i3−2i30000-11-11-111+3i321−3i32−1−3i32−1+3i32-333-3−i3−i3i3i3−i3i33+i32−3+i323−i32−3−i32−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000
χ974-4-44-2-2-2-442222-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-220−2i32i30000-11-11-111−3i321+3i32−1+3i32−1−3i32-333-3i3i3−i3−i3i3−i33−i32−3−i323+i32−3+i32i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000
χ984-4-44-2-2-2-442222-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-2202i3−2i30000-11-11-111−3i321+3i32−1+3i32−1−3i323-3-33−i3−i3i3i3−i3i3−3+i323+i32−3−i323−i32−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000
χ9988-8-88-4-4008-8-444-44-84-4-4222-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-400-44-4448-84-8-42-422-442-2-442-22-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4800-448-8-8-44442-4-4222-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-400-44-444-4444222−1−3i3−1+3i32-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-400-44-444-4444222−1+3i3−1−3i32-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-400-884-444-4-84-4-42224-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-4004-44-44-884-8-42-4224-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-48004-4-88-84-4442-4-422-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4004-44-444-444222−1−3i3−1+3i3-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4004-44-444-444222−1+3i3−1−3i3-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000

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