Finite Group Databasebeta

← Group #13180884

Character table — Group #13180884

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222244446666666666661818333366666666121212121818181818181818181818185454444488888888161616162424242424242424242424247272444488888888161616162424242424242424242424247272
order12443366121212123612122244666612121212242244666612121212661212224466661212121224361212336612121212361212661212666612121212612361212336612121212361212661212666612121212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-1
χ31111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11
χ611-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-1
χ711-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-1
χ811-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11
χ922222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-100
χ1022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-20011001100
χ112222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-10000
χ122222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-201100110000
χ1322-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-1001100
χ1422-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-100
χ1522-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-100110000
χ1622-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-10000
χ172-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i00000000000000
χ182-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−300
χ192-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−3300
χ202-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−30000
χ212-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−330000
χ222-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i00000000000000
χ232-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−3300
χ242-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−300
χ252-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−330000
χ262-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−30000
χ274444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-2111100000000000000
χ2844-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-100000000000000
χ294-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i00000000000000
χ304-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii00000000000000
χ31111111111111111111111111111111111111111111111111111111111111−1+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
χ3211111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-1−1+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+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ331111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-1−1+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+i321−i32−1+i321−i32−1+i321−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−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ341111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3511-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32
χ3611-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ3711-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3811-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32
χ3922222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320−1+i30−1+i3001−i321−i32001−i321−i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320−1−i30−1−i3001+i321+i32001+i321+i3200
χ4022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-20011001100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3201−i301−i300−1+i32−1+i3200−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3201+i301+i300−1−i32−1−i3200−1−i32−1−i3200
χ412222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i30−1+i301−i321−i32001−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i30−1−i301+i321+i32001+i321+i320000
χ422222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-201100110000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i301−i30−1+i32−1+i3200−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i301+i30−1−i32−1−i3200−1−i32−1−i320000
χ4322-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-1001100−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i320−1+i301−i3001−i321−i3200−1+i32−1+i3200−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i320−1−i301+i3001+i321+i3200−1−i32−1−i3200
χ4422-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-100−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i3201−i30−1+i300−1+i32−1+i32001−i321−i3200−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i3201+i30−1−i300−1−i32−1−i32001+i321+i3200
χ4522-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-100110000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i301−i301−i321−i3200−1+i32−1+i320000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i301+i301+i321+i3200−1−i32−1−i320000
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χ522-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i00000000000000−1+i31−i3−2ζ72ζ7−1+i3−1+i31−i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i3−2ζ72ζ700000000000000−1−i31+i3−2ζ112ζ11−1−i3−1−i31+i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i3−2ζ112ζ1100000000000000
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χ562-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−30000−1+i31−i3−2ζ72ζ71−i32−1+i3−1+i321−i3ζ7−ζ7−2ζ72ζ71−i32−1+i32ζ7−ζ70000−3−i323+i3200−ζ7−2ζ11ζ7+2ζ110000−1−i31+i3−2ζ112ζ111+i32−1−i3−1−i321+i3ζ11−ζ11−2ζ112ζ111+i32−1−i32ζ11−ζ1100003−i32−3+i32002ζ7+ζ11−2ζ7−ζ110000
χ574444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-2111100000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200000000000000
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χ6211111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-1−1−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−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ631111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-1−1−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−i321+i32−1−i321+i32−1−i321+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+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ641111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ6511-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32
χ6611-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ6711-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ6811-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32
χ6922222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320−1−i30−1−i3001+i321+i32001+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320−1+i30−1+i3001−i321−i32001−i321−i3200
χ7022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-20011001100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3201+i301+i300−1−i32−1−i3200−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3201−i301−i300−1+i32−1+i3200−1+i32−1+i3200
χ712222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i30−1−i301+i321+i32001+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i30−1+i301−i321−i32001−i321−i320000
χ722222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-201100110000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i301+i30−1−i32−1−i3200−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i301−i30−1+i32−1+i3200−1+i32−1+i320000
χ7322-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-1001100−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i320−1−i301+i3001+i321+i3200−1−i32−1−i3200−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i320−1+i301−i3001−i321−i3200−1+i32−1+i3200
χ7422-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-100−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i3201+i30−1−i300−1−i32−1−i32001+i321+i3200−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i3201−i30−1+i300−1+i32−1+i32001−i321−i3200
χ7522-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-100110000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i301+i301+i321+i3200−1−i32−1−i320000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i301−i301−i321−i3200−1+i32−1+i320000
χ7622-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-10000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i321+i30−1−i30−1−i32−1−i32001+i321+i320000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i321−i30−1+i30−1+i32−1+i32001−i321−i320000
χ772-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i00000000000000−1−i31+i32ζ11−2ζ11−1−i3−1−i31+i31+i32ζ11−2ζ112ζ11−2ζ11−1−i31+i32ζ11−2ζ1100000000000000−1+i31−i32ζ7−2ζ7−1+i3−1+i31−i31−i32ζ7−2ζ72ζ7−2ζ7−1+i31−i32ζ7−2ζ700000000000000
χ782-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−300−1−i31+i32ζ11−2ζ11−1−i31+i321+i3−1−i322ζ11−2ζ11−ζ11ζ111+i32−1−i32−ζ11ζ11000000−3+i323−i32002ζ7+ζ11−2ζ7−ζ1100−1+i31−i32ζ7−2ζ7−1+i31−i321−i3−1+i322ζ7−2ζ7−ζ7ζ71−i32−1+i32−ζ7ζ70000003+i32−3−i3200−ζ7−2ζ11ζ7+2ζ1100
χ792-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−3300−1−i31+i32ζ11−2ζ11−1−i31+i321+i3−1−i322ζ11−2ζ11−ζ11ζ111+i32−1−i32−ζ11ζ110000003−i32−3+i3200−2ζ7−ζ112ζ7+ζ1100−1+i31−i32ζ7−2ζ7−1+i31−i321−i3−1+i322ζ7−2ζ7−ζ7ζ71−i32−1+i32−ζ7ζ7000000−3−i323+i3200ζ7+2ζ11−ζ7−2ζ1100
χ802-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−30000−1−i31+i32ζ11−2ζ111+i32−1−i3−1−i321+i3−ζ11ζ112ζ11−2ζ111+i32−1−i32−ζ11ζ110000−3+i323−i32002ζ7+ζ11−2ζ7−ζ110000−1+i31−i32ζ7−2ζ71−i32−1+i3−1+i321−i3−ζ7ζ72ζ7−2ζ71−i32−1+i32−ζ7ζ700003+i32−3−i3200−ζ7−2ζ11ζ7+2ζ110000
χ812-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−330000−1−i31+i32ζ11−2ζ111+i32−1−i3−1−i321+i3−ζ11ζ112ζ11−2ζ111+i32−1−i32−ζ11ζ1100003−i32−3+i3200−2ζ7−ζ112ζ7+ζ110000−1+i31−i32ζ7−2ζ71−i32−1+i3−1+i321−i3−ζ7ζ72ζ7−2ζ71−i32−1+i32−ζ7ζ70000−3−i323+i3200ζ7+2ζ11−ζ7−2ζ110000
χ822-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i00000000000000−1−i31+i3−2ζ112ζ11−1−i3−1−i31+i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i3−2ζ112ζ1100000000000000−1+i31−i3−2ζ72ζ7−1+i3−1+i31−i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i3−2ζ72ζ700000000000000
χ832-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−3300−1−i31+i3−2ζ112ζ11−1−i31+i321+i3−1−i32−2ζ112ζ11ζ11−ζ111+i32−1−i32ζ11−ζ11000000−3+i323−i3200−2ζ7−ζ112ζ7+ζ1100−1+i31−i3−2ζ72ζ7−1+i31−i321−i3−1+i32−2ζ72ζ7ζ7−ζ71−i32−1+i32ζ7−ζ70000003+i32−3−i3200ζ7+2ζ11−ζ7−2ζ1100
χ842-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−300−1−i31+i3−2ζ112ζ11−1−i31+i321+i3−1−i32−2ζ112ζ11ζ11−ζ111+i32−1−i32ζ11−ζ110000003−i32−3+i32002ζ7+ζ11−2ζ7−ζ1100−1+i31−i3−2ζ72ζ7−1+i31−i321−i3−1+i32−2ζ72ζ7ζ7−ζ71−i32−1+i32ζ7−ζ7000000−3−i323+i3200−ζ7−2ζ11ζ7+2ζ1100
χ852-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−330000−1−i31+i3−2ζ112ζ111+i32−1−i3−1−i321+i3ζ11−ζ11−2ζ112ζ111+i32−1−i32ζ11−ζ110000−3+i323−i3200−2ζ7−ζ112ζ7+ζ110000−1+i31−i3−2ζ72ζ71−i32−1+i3−1+i321−i3ζ7−ζ7−2ζ72ζ71−i32−1+i32ζ7−ζ700003+i32−3−i3200ζ7+2ζ11−ζ7−2ζ110000
χ862-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−30000−1−i31+i3−2ζ112ζ111+i32−1−i3−1−i321+i3ζ11−ζ11−2ζ112ζ111+i32−1−i32ζ11−ζ1100003−i32−3+i32002ζ7+ζ11−2ζ7−ζ110000−1+i31−i3−2ζ72ζ71−i32−1+i3−1+i321−i3ζ7−ζ7−2ζ72ζ71−i32−1+i32ζ7−ζ70000−3−i323+i3200−ζ7−2ζ11ζ7+2ζ110000
χ874444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-2111100000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200000000000000
χ8844-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-100000000000000−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i321+i321+i3200000000000000−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i321−i321−i3200000000000000
χ894-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i00000000000000−2−2i32+2i34ζ11−4ζ111+i31+i3−1−i3−1−i3−2ζ112ζ11−2ζ112ζ11−1−i321+i32ζ11−ζ1100000000000000−2+2i32−2i34ζ7−4ζ71−i31−i3−1+i3−1+i3−2ζ72ζ7−2ζ72ζ7−1+i321−i32ζ7−ζ700000000000000
χ904-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii00000000000000−2−2i32+2i3−4ζ114ζ111+i31+i3−1−i3−1−i32ζ11−2ζ112ζ11−2ζ11−1−i321+i32−ζ11ζ1100000000000000−2+2i32−2i3−4ζ74ζ71−i31−i3−1+i3−1+i32ζ7−2ζ72ζ7−2ζ7−1+i321−i32−ζ7ζ700000000000000
χ91333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ9233333333333333333-33-333-3-333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111000000000000000000000000000000000000000000000000000000000000
χ933333333333333333-33-33-3-333-3-333-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111000000000000000000000000000000000000000000000000000000000000
χ943333333333333333-3-3-3-3-3-3-3-3-3-3-3-333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1000000000000000000000000000000000000000000000000000000000000
χ9533-3-33333-3-3-3-333-3-333-3-33333-3-3-3-3-33-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111-1000000000000000000000000000000000000000000000000000000000000
χ9633-3-33333-3-3-3-333-3-33-3-3333-3-3-3-3333-3-1-111-1-1-1-11111-1-111-111-1-1-11111-1-1-11000000000000000000000000000000000000000000000000000000000000
χ9733-3-33333-3-3-3-333-3-3-333-3-3-33333-3-33-3-1-111-1-1-1-11111-1-1111-1-1111-1-1-1-111-11000000000000000000000000000000000000000000000000000000000000
χ9833-3-33333-3-3-3-333-3-3-3-333-3-3-3-33333-33-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-11-1000000000000000000000000000000000000000000000000000000000000
χ9966666-36-366-3-3-3-3-3-3060600-3-300-3-300-2-2-2-2-21-21-2-21111110-20-20011001100000000000000000000000000000000000000000000000000000000000000
χ10066666-36-366-3-3-3-3-3-30-60-60033003300-2-2-2-2-21-21-2-2111111020200-1-100-1-100000000000000000000000000000000000000000000000000000000000000
χ1016666-36-36-3-366-3-3-3-36060-3-300-3-30000-2-2-2-21-21-211-2-21111-20-201100110000000000000000000000000000000000000000000000000000000000000000
χ1026666-36-36-3-366-3-3-3-3-60-603300330000-2-2-2-21-21-211-2-211112020-1-100-1-10000000000000000000000000000000000000000000000000000000000000000
χ10366-6-66-36-3-6-633-3-333060-600-3-3003300-2-222-21-2122-1-111-1-10-202001100-1-100000000000000000000000000000000000000000000000000000000000000
χ10466-6-66-36-3-6-633-3-3330-606003300-3-300-2-222-21-2122-1-111-1-1020-200-1-1001100000000000000000000000000000000000000000000000000000000000000
χ10566-6-6-36-3633-6-6-3-33360-60-3-300330000-2-2221-21-2-1-12211-1-1-20201100-1-10000000000000000000000000000000000000000000000000000000000000000
χ10666-6-6-36-3633-6-6-3-333-60603300-3-30000-2-2221-21-2-1-12211-1-120-20-1-100110000000000000000000000000000000000000000000000000000000000000000
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χ1086-66i−6i6-3-636i−6i−3i3i-33−3i3i000000−3i33i30033−3300-22−2i2i-212-1−2i2ii−i1-1i−i000000i3−i300−3300000000000000000000000000000000000000000000000000000000000000
χ1096-66i−6i6-3-636i−6i−3i3i-33−3i3i0000003i3−3i300−333300-22−2i2i-212-1−2i2ii−i1-1i−i000000−i3i3003−300000000000000000000000000000000000000000000000000000000000000
χ1106-66i−6i-363-6−3i3i6i−6i-33−3i3i0000−3i33i30033−330000-22−2i2i1-2-12i−i−2i2i1-1i−i0000i3−i300−330000000000000000000000000000000000000000000000000000000000000000
χ1116-66i−6i-363-6−3i3i6i−6i-33−3i3i00003i3−3i300−33330000-22−2i2i1-2-12i−i−2i2i1-1i−i0000−i3i3003−30000000000000000000000000000000000000000000000000000000000000000
χ1126-6−6i6i66-6-6−6i6i−6i6i6-6−6i6i00000000000000-222i−2i-2-2222i−2i2i−2i-222i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
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χ1146-6−6i6i6-3-63−6i6i3i−3i-333i−3i0000003i3−3i30033−3300-222i−2i-212-12i−2i−ii1-1−ii000000−i3i300−3300000000000000000000000000000000000000000000000000000000000000
χ1156-6−6i6i-363-63i−3i−6i6i-333i−3i0000−3i33i300−33330000-222i−2i1-2-12−ii2i−2i1-1−ii0000i3−i3003−30000000000000000000000000000000000000000000000000000000000000000
χ1166-6−6i6i-363-63i−3i−6i6i-333i−3i00003i3−3i30033−330000-222i−2i1-2-12−ii2i−2i1-1−ii0000−i3i300−330000000000000000000000000000000000000000000000000000000000000000
χ11712121212-6-6-6-6-6-6-6-6333300000000000000-4-4-4-422222222-1-1-1-100000000000000000000000000000000000000000000000000000000000000000000000000
χ1181212-12-12-6-6-6-6666633-3-300000000000000-4-4442222-2-2-2-2-1-11100000000000000000000000000000000000000000000000000000000000000000000000000
χ11912-1212i−12i-6-666−6i6i−6i6i3-33i−3i00000000000000-44−4i4i22-2-22i−2i2i−2i-11−ii00000000000000000000000000000000000000000000000000000000000000000000000000
χ12012-12−12i12i-6-6666i−6i6i−6i3-3−3i3i00000000000000-444i−4i22-2-2−2i2i−2i2i-11i−i00000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.