Finite Group Databasebeta

← Group #13175923

Character table — Group #13175923

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222224444444444444444444444444444466888888888888888888888888888888888812121212121212121212121212121212121212181824242424242424243636363636363654547272108108108
order12223333366666666666666623333446666666666666666666612122266666666612121212121212121212121212121212121212121212121212224666666666666666622666612121212444661212221212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111111111111111-1-111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-11-111-1-111-11-1-11
χ611111111111111111111111111111-1-111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11-111-1
χ711111111111111111111111111111-1-111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-1-1-1-1111-1
χ811111111111111111111111111111-1-111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111111-1-1-11
χ9111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1111-1-11-1
χ10111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-111-11
χ11111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-111-1-1-1-11-11-11
χ12111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111-1-11111-11-11-1
χ13111111111111111111111111-11111-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-11-1-1
χ14111111111111111111111111-11111-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-111
χ15111111111111111111111111-11111-11-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111111-1-1-1-1-111
χ16111111111111111111111111-11111-11-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-111111-1-1
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χ1822222222-122222222-12222-1-12-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-200000000-2-2-211110011000
χ1922222222-122222222-12222-1-12-1-1-1-1-2-222222222-1-1-1-1-1-1-1-1-1-1-1-11100-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-2111111111111111100000000000000000002200000000-22-2-1-111001-1000
χ2022222222-122222222-12222-1-12-1-1-1-1-2-222222222-1-1-1-1-1-1-1-1-1-1-1-11100-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-211111111111111110000000000000000000-2-2000000002-2211-1-100-11000
χ2122222222-122222222-12222-1-1-2-1-1-1-12-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111001111111112222-1-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000022000000002-2-2-1-11100-11000
χ2222222222-122222222-12222-1-1-2-1-1-1-12-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111001111111112222-1-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000000-2-200000000-22211-1-1001-1000
χ2322222222-122222222-12222-1-1-2-1-1-1-1-22-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100111111111-2-2-2-21222211111111-1-1-1-1-1-1-1-100000000000000000002200000000-2-22-1-1-1-10011000
χ2422222222-122222222-12222-1-1-2-1-1-1-1-22-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100111111111-2-2-2-21222211111111-1-1-1-1-1-1-1-10000000000000000000-2-20000000022-2111100-1-1000
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χ2822222-1-1-1222-1-1-1-1-1-122-1-1-12222-1-1-1-2-222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-2111-2-2111-2-2111111-2-2111111-222-2-2111111-2-2111111002-1-1-12-1-1-100000000000000
χ2922222-1-1-1222-1-1-1-1-1-122-1-1-122-22-1-1-12-2-2-21111112-1-1-122-1-1-1-1-1-1-2-222-2-2-21111112-1-1-12-211122-1-1-1-1-1-1-2-2111111-2-2222-1-1-1-1-1-1-2-211111100-21112-1-1-100000000000000
χ3022222-1-1-1222-1-1-1-1-1-122-1-1-122-22-1-1-12-2-2-21111112-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-21111112-1-1-12-211122-1-1-1-1-1-1-2-211111122-2-2-211111122-1-1-1-1-1-1002-1-1-1-211100000000000000
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χ3222222-1-1-1222-1-1-1-1-1-122-1-1-122-22-1-1-1-22-2-21111112-1-1-122-1-1-1-1-1-122-2-2-2-2-2111111-2111-22-1-1-1-2-211111122-1-1-1-1-1-12-22-2-211111122-1-1-1-1-1-100-21112-1-1-100000000000000
χ332222-12-1-12-1-122-1-1-1-12-12-1-1222-12-1-122-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122222-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-100-12-1-1-12-1-100000000000000
χ342222-12-1-12-1-122-1-1-1-12-12-1-1222-12-1-122-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-2-22-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-211-2-2111111-2-21111001-2111-21100000000000000
χ352222-12-1-12-1-122-1-1-1-12-12-1-1222-12-1-1-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2222-1-122-1-1-1-11-211-21-21111-2-2111111-2-211112-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-21100000000000000
χ362222-12-1-12-1-122-1-1-1-12-12-1-1222-12-1-1-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2-22-1-122-1-1-1-11-211-21-21111-2-2111111-2-21111-22211-2-2111111-2-2111100-12-1-1-12-1-100000000000000
χ372222-12-1-12-1-122-1-1-1-12-12-1-122-2-12-1-12-211-2-21111-12-1-1-1-122-1-1-1-1-2-222-211-2-21111-12-1-121-211-1-122-1-1-1-111-2-21111-2-22-1-122-1-1-1-111-2-21111001-211-12-1-100000000000000
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χ402222-12-1-12-1-122-1-1-1-12-12-1-122-2-12-1-1-2211-2-21111-12-1-1-1-122-1-1-1-122-2-2-211-2-211111-211-2-12-1-111-2-21111-1-122-1-1-1-12-2211-2-21111-1-122-1-1-1-1001-211-12-1-100000000000000
χ412222-1-12-12-1-1-1-122-1-12-1-12-1222-1-12-122-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122222-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-100-1-12-1-1-12-100000000000000
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χ532222-1-1-122-1-1-1-1-1-1222-1-1-1222-2-1-1-122-2111111-2-2-1-1-12-1-1-1-1-1-122-2-222-2111111-2-2-1-1-122111-2-1-1-1-1-1-122111111-2-2-2-22-1-1-1-1-1-122111111-2-200111-2-1-1-1200000000000000
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χ9144-4-4-24-2-2-222-4-422222-24-2-2-2201-211002i3−2i3002i3−2i3−2i32i31-211-1-122-1-1-1-1−2323000−i3i300−i3i3i3−i30000000003i−3i003i−3i−3i3i3−3−23233−33−30000000000000000000000000000000000000000000
χ9244-4-4-2-24-242222-4-422-4-2-24-24-40-2-24-200−2i32i32i3−2i300−2i32i3-2-24-22222-4-42200000−2i32i32i3−2i300−2i32i300000000000000000000000000000000000000000000000000000000000000000000
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χ9544-4-4-2-24-2-22222-4-4222-2-24-2-22011-2100−2i32i32i3−2i300−2i32i311-21-1-1-1-122-1-1−2323000i3−i3−i3i300i3−i3000000000−3i3i3i−3i00−3i3i3−33−3−23233−30000000000000000000000000000000000000000000
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χ1184-4-444-2-2-244-4-22-22-22-4-4222-4404-2-2-20000000000-42224-4-22-22-2200-440000000000000000000000000000000000000-442-22-22-200000000000000000000000000000000
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χ1214-4-44-2-24-24-22-224-4-22-422-42-440-2-24-2000000000022-42-22-224-4-22004-40000000000000000000000000000000000000-22-224-4-2200000000000000000000000000000000
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χ1234-4-44-2-2-244-22-22-224-4-4222-4-440-2-2-240000000000222-4-22-22-224-4004-40000000000000000000000000000000000000-22-22-224-400000000000000000000000000000000
χ1244-4-44-2-2-244-22-22-224-4-4222-4-440-2-2-240000000000222-4-22-22-224-400-4400000000000000000000000000000000000002-22-22-2-4400000000000000000000000000000000
χ1258-88-88-4-4-4-4-884-44-44-4-4-8444440-422200000000004-2-2-24-4-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-48-4-4-44-4-884-44-4-44-8444402-4220000000000-24-2-2-224-4-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-4-48-4-44-44-4-884-4-444-8444022-420000000000-2-24-2-22-224-4-22000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1318-8-88-4-48-4-4-44-448-8-44444-844-4022-420000000000-2-24-22-22-2-442-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-48-4-44-44-448-84444-84-40222-40000000000-2-2-242-22-22-2-44000000000000000000000000000000000000000000000000000000000000000000000000000000000

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