Finite Group Databasebeta

← Group #13166739

Character table — Group #13166739

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424
order122244336666661212121244448888888844441212121212121212366612123366666612121212121212122424242424242424121212121212121212121212366612123366666612121212121212122424242424242424121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ71111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1
χ81111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-111
χ9222222222222222222-2-2-2-200000000000000000000222222222222222222-2-2-2-200000000000000000000222222222222222222-2-2-2-200000000000000000000
χ102222-2-222222222-2-2-2-222-2-2000000000000000000002222-2-222222222-2-2-2-222-2-2000000000000000000002222-2-222222222-2-2-2-222-2-200000000000000000000
χ1122-2-2002222-2-2-2-20000002-2000022-2-200000000000022-2-2002222-2-2-2-20000002-2000022-2-200000000000022-2-2002222-2-2-2-20000002-2000022-2-2000000000000
χ1222-2-2002222-2-2-2-20000002-20000-2-22200000000000022-2-2002222-2-2-2-20000002-20000-2-22200000000000022-2-2002222-2-2-2-20000002-20000-2-222000000000000
χ1322-2-2002222-2-2-2-2000000-2222-2-2000000000000000022-2-2002222-2-2-2-2000000-2222-2-2000000000000000022-2-2002222-2-2-2-2000000-2222-2-20000000000000000
χ1422-2-2002222-2-2-2-2000000-22-2-222000000000000000022-2-2002222-2-2-2-2000000-22-2-222000000000000000022-2-2002222-2-2-2-2000000-22-2-2220000000000000000
χ152-22-20022-2-2-2-22200002i−2i002−22−2−i2i2−i2i20000000000002-22-20022-2-2-2-22200002i−2i002−22−2−i2i2−i2i20000000000002-22-20022-2-2-2-22200002i−2i002−22−2−i2i2−i2i2000000000000
χ162-22-20022-2-2-2-22200002i−2i00−22−22i2−i2i2−i20000000000002-22-20022-2-2-2-22200002i−2i00−22−22i2−i2i2−i20000000000002-22-20022-2-2-2-22200002i−2i00−22−22i2−i2i2−i2000000000000
χ172-22-20022-2-2-2-2220000−2i2i002−22−2i2−i2i2−i20000000000002-22-20022-2-2-2-2220000−2i2i002−22−2i2−i2i2−i20000000000002-22-20022-2-2-2-2220000−2i2i002−22−2i2−i2i2−i2000000000000
χ182-22-20022-2-2-2-2220000−2i2i00−22−22−i2i2−i2i20000000000002-22-20022-2-2-2-2220000−2i2i00−22−22−i2i2−i2i20000000000002-22-20022-2-2-2-2220000−2i2i00−22−22−i2i2−i2i2000000000000
χ192-2-222i−2i22-2-222-2-22i2i−2i−2i00002−2−22−i2i2i2−i20000000000002-2-222i−2i22-2-222-2-22i2i−2i−2i00002−2−22−i2i2i2−i20000000000002-2-222i−2i22-2-222-2-22i2i−2i−2i00002−2−22−i2i2i2−i2000000000000
χ202-2-222i−2i22-2-222-2-22i2i−2i−2i0000−222−2i2−i2−i2i20000000000002-2-222i−2i22-2-222-2-22i2i−2i−2i0000−222−2i2−i2−i2i20000000000002-2-222i−2i22-2-222-2-22i2i−2i−2i0000−222−2i2−i2−i2i2000000000000
χ212-2-22−2i2i22-2-222-2-2−2i−2i2i2i00002−2−22i2−i2−i2i20000000000002-2-22−2i2i22-2-222-2-2−2i−2i2i2i00002−2−22i2−i2−i2i20000000000002-2-22−2i2i22-2-222-2-2−2i−2i2i2i00002−2−22i2−i2−i2i2000000000000
χ222-2-22−2i2i22-2-222-2-2−2i−2i2i2i0000−222−2−i2i2i2−i20000000000002-2-22−2i2i22-2-222-2-2−2i−2i2i2i0000−222−2−i2i2i2−i20000000000002-2-22−2i2i22-2-222-2-2−2i−2i2i2i0000−222−2−i2i2i2−i2000000000000
χ234444441-21-21-21-21-21-2000000000000020200-1-100-1-14444441-21-21-21-21-21-2000000000000020200-1-100-1-14444441-21-21-21-21-21-2000000000000020200-1-100-1-1
χ244444441-21-21-21-21-21-20000000000000-20-2001100114444441-21-21-21-21-21-20000000000000-20-2001100114444441-21-21-21-21-21-20000000000000-20-200110011
χ25444444-21-21-21-21-21-210000000000002020-1-100-1-100444444-21-21-21-21-21-210000000000002020-1-100-1-100444444-21-21-21-21-21-210000000000002020-1-100-1-100
χ26444444-21-21-21-21-21-21000000000000-20-2011001100444444-21-21-21-21-21-21000000000000-20-2011001100444444-21-21-21-21-21-21000000000000-20-2011001100
χ274444-4-41-21-21-21-2-12-12000000000000020-2001100-1-14444-4-41-21-21-21-2-12-12000000000000020-2001100-1-14444-4-41-21-21-21-2-12-12000000000000020-2001100-1-1
χ284444-4-41-21-21-21-2-12-120000000000000-20200-1-100114444-4-41-21-21-21-2-12-120000000000000-20200-1-100114444-4-41-21-21-21-2-12-120000000000000-20200-1-10011
χ294444-4-4-21-21-21-212-12-100000000000020-201100-1-1004444-4-4-21-21-21-212-12-100000000000020-201100-1-1004444-4-4-21-21-21-212-12-100000000000020-201100-1-100
χ304444-4-4-21-21-21-212-12-1000000000000-2020-1-10011004444-4-4-21-21-21-212-12-1000000000000-2020-1-10011004444-4-4-21-21-21-212-12-1000000000000-2020-1-1001100
χ314-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000−i3i3003−34-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000−i3i3003−34-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000−i3i3003−3
χ324-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000i3−i300−334-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000i3−i300−334-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000i3−i300−33
χ334-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000−i3i3003−3004-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000−i3i3003−3004-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000−i3i3003−300
χ344-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000i3−i300−33004-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000i3−i300−33004-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000i3−i300−3300
χ354-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000−i3i300−334-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000−i3i300−334-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000−i3i300−33
χ364-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000i3−i3003−34-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000i3−i3003−34-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000i3−i3003−3
χ374-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000−i3i300−33004-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000−i3i300−33004-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000−i3i300−3300
χ384-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000i3−i3003−3004-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000i3−i3003−3004-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000i3−i3003−300
χ3988-8-8002-42-4-24-24000000000000000000000000000088-8-8002-42-4-24-24000000000000000000000000000088-8-8002-42-4-24-240000000000000000000000000000
χ4088-8-800-42-424-24-2000000000000000000000000000088-8-800-42-424-24-2000000000000000000000000000088-8-800-42-424-24-20000000000000000000000000000
χ418-88-8002-4-24-242-400000000000000000000000000008-88-8002-4-24-242-400000000000000000000000000008-88-8002-4-24-242-40000000000000000000000000000
χ428-88-800-424-24-2-4200000000000000000000000000008-88-800-424-24-2-4200000000000000000000000000008-88-800-424-24-2-420000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ44111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ451111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ461111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ471111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ481111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ491111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ501111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
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χ1134444-4-4-21-21-21-212-12-100000000000020-201100-1-100−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32000000000000−1−i301+i30−1−i32−1−i32001+i321+i3200−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32000000000000−1+i301−i30−1+i32−1+i32001−i321−i3200
χ1144444-4-4-21-21-21-212-12-1000000000000-2020-1-1001100−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i320000000000001+i30−1−i301+i321+i3200−1−i32−1−i3200−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i320000000000001−i30−1+i301−i321−i3200−1+i32−1+i3200
χ1154-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000−i3i3003−3−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3ζ22−2ζ22−ζ222ζ22000000000000000000−3+i323−i32002ζ14+ζ22−2ζ14−ζ22−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3ζ14−2ζ14−ζ142ζ140000000000000000003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ22
χ1164-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000i3−i300−33−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3ζ22−2ζ22−ζ222ζ220000000000000000003−i32−3+i3200−2ζ14−ζ222ζ14+ζ22−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3ζ14−2ζ14−ζ142ζ14000000000000000000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ22
χ1174-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000−i3i3003−300−2−2i32+2i32+2i3−2−2i34ζ22−4ζ221+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i32−2ζ22ζ222ζ22−ζ220000000000000000−3+i323−i32002ζ14+ζ22−2ζ14−ζ2200−2+2i32−2i32−2i3−2+2i34ζ14−4ζ141−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i32−2ζ14ζ142ζ14−ζ1400000000000000003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ2200
χ1184-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000i3−i300−3300−2−2i32+2i32+2i3−2−2i34ζ22−4ζ221+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i32−2ζ22ζ222ζ22−ζ2200000000000000003−i32−3+i3200−2ζ14−ζ222ζ14+ζ2200−2+2i32−2i32−2i3−2+2i34ζ14−4ζ141−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i32−2ζ14ζ142ζ14−ζ140000000000000000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ2200
χ1194-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000−i3i300−33−2−2i32+2i32+2i3−2−2i3−4ζ224ζ22−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3−ζ222ζ22ζ22−2ζ22000000000000000000−3+i323−i3200−2ζ14−ζ222ζ14+ζ22−2+2i32−2i32−2i3−2+2i3−4ζ144ζ14−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3−ζ142ζ14ζ14−2ζ140000000000000000003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ22
χ1204-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000i3−i3003−3−2−2i32+2i32+2i3−2−2i3−4ζ224ζ22−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3−ζ222ζ22ζ22−2ζ220000000000000000003−i32−3+i32002ζ14+ζ22−2ζ14−ζ22−2+2i32−2i32−2i3−2+2i3−4ζ144ζ14−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3−ζ142ζ14ζ14−2ζ14000000000000000000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ22
χ1214-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000−i3i300−3300−2−2i32+2i32+2i3−2−2i3−4ζ224ζ221+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i322ζ22−ζ22−2ζ22ζ220000000000000000−3+i323−i3200−2ζ14−ζ222ζ14+ζ2200−2+2i32−2i32−2i3−2+2i3−4ζ144ζ141−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i322ζ14−ζ14−2ζ14ζ1400000000000000003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ2200
χ1224-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000i3−i3003−300−2−2i32+2i32+2i3−2−2i3−4ζ224ζ221+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i322ζ22−ζ22−2ζ22ζ2200000000000000003−i32−3+i32002ζ14+ζ22−2ζ14−ζ2200−2+2i32−2i32−2i3−2+2i3−4ζ144ζ141−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i322ζ14−ζ14−2ζ14ζ140000000000000000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ2200
χ12388-8-8002-42-4-24-240000000000000000000000000000−4−4i3−4−4i34+4i34+4i300−1−i32+2i3−1−i32+2i31+i3−2−2i31+i3−2−2i30000000000000000000000000000−4+4i3−4+4i34−4i34−4i300−1+i32−2i3−1+i32−2i31−i3−2+2i31−i3−2+2i30000000000000000000000000000
χ12488-8-800-42-424-24-20000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−1−i32+2i3−1−i3−2−2i31+i3−2−2i31+i30000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−1+i32−2i3−1+i3−2+2i31−i3−2+2i31−i30000000000000000000000000000
χ1258-88-8002-4-24-242-40000000000000000000000000000−4−4i34+4i3−4−4i34+4i300−1−i32+2i31+i3−2−2i31+i3−2−2i3−1−i32+2i30000000000000000000000000000−4+4i34−4i3−4+4i34−4i300−1+i32−2i31−i3−2+2i31−i3−2+2i3−1+i32−2i30000000000000000000000000000
χ1268-88-800-424-24-2-420000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i3−1−i3−2−2i31+i3−2−2i31+i32+2i3−1−i30000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i3−1+i3−2+2i31−i3−2+2i31−i32−2i3−1+i30000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.