Finite Group Databasebeta

← Group #72344026

Character table — Group #72344026

Order 6144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size1111333344446666121212121212121212121212121224242424242424242424242424242424242424242424242448484848484848484848969696969696969612812812812812812812812811113333444466661212121212121212121212121212242424242424242424242424242424242424242424242424484848484848484848489696969696969696128128128128128128128128
order1222222222222222222222222222224444444444444444444444444444444444444444443666666622222222222222222222222222222244444444444444444444444444444444444444444466666666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111111-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
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χ122-22-2-222-2-2-22222-2-222222-2-2-222-2-2-2-222-2-200000000-2-22200000000-220000000000000000-1-11111-1-12-22-2-222-2-2-22222-2-222222-2-2-222-2-2-2-222-2-200000000-2-22200000000-220000000000000000-1-11111-1-1
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χ1244-4-44-44-44-444-40000000000000000000000-222-22-2-220000-222-22-2-220000000000000000001-1-11-111-1-444-44-44-44-4-4400000000000000000000002-2-22-222-200002-2-22-222-2000000000000000000-111-11-1-11
χ125666666666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-20000000022000000000000000000000000-6-6-6-6-6-6-6-6-6-6-6-6222222222222222222-2-2-2-200000000222200000000-2-2000000000000000000000000
χ12666666666-6-6-6-6-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000222200000000-2-2000000000000000000000000-6-6-6-6-6-6-6-666662222222222-2-2-2-22222-2-2-2-200000000-2-2-2-20000000022000000000000000000000000
χ1276666-2-2-2-200006-26-2-22-22-2-200002-22-22-22-20000222200000000-2-2-2-20000002-22-20000000000000000-6-6-6-622220000-62-622-22-2220000-22-22-22-220000-2-2-2-2000000002222000000-22-220000000000000000
χ1286666-2-2-2-200006-26-2-22-22-2-200002-22-22-22-20000-2-2-2-2000000002222000000-22-220000000000000000-6-6-6-622220000-62-622-22-2220000-22-22-22-220000222200000000-2-2-2-20000002-22-20000000000000000
χ1296666-2-2-2-200006-26-2-2-22-22-20000-22-22-22-22222200000000-2-2-2-20000002-22-200000000000000000000-6-6-6-622220000-62-6222-22-2200002-22-22-22-2-2-2-2-2000000002222000000-22-2200000000000000000000
χ1306666-2-2-2-200006-26-2-2-22-22-20000-22-22-22-22-2-2-2-2000000002222000000-22-2200000000000000000000-6-6-6-622220000-62-6222-22-2200002-22-22-22-2222200000000-2-2-2-20000002-22-200000000000000000000
χ1316666-2-2-2-20000-26-26-22-22-2-200002-22-2-22-220000222200000000-2-2-2-2000000-22-220000000000000000-6-6-6-6222200002-62-62-22-2220000-22-222-22-20000-2-2-2-20000000022220000002-22-20000000000000000
χ1326666-2-2-2-20000-26-26-22-22-2-200002-22-2-22-220000-2-2-2-20000000022220000002-22-20000000000000000-6-6-6-6222200002-62-62-22-2220000-22-222-22-20000222200000000-2-2-2-2000000-22-220000000000000000
χ1336666-2-2-2-20000-26-26-2-22-22-20000-22-222-22-2222200000000-2-2-2-2000000-22-2200000000000000000000-6-6-6-6222200002-62-622-22-2200002-22-2-22-22-2-2-2-20000000022220000002-22-200000000000000000000
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χ1356-66-62-2-2200006-2-62-22-22-220000-22-222-2-2200002i2i−2i−2i00000000−2i−2i2i2i0000002i−2i−2i2i0000000000000000-66-66-222-20000-626-22-22-22-200002-22-2-222-20000−2i−2i2i2i000000002i2i−2i−2i000000−2i2i2i−2i0000000000000000
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χ1386-66-62-2-2200006-2-62-2-22-22200002-22-2-222-2−2i−2i2i2i000000002i2i−2i−2i000000−2i2i2i−2i00000000000000000000-66-66-222-20000-626-222-22-2-20000-22-222-2-222i2i−2i−2i00000000−2i−2i2i2i0000002i−2i−2i2i00000000000000000000
χ1396-66-62-2-220000-262-6-22-22-220000-22-22-222-200002i2i−2i−2i00000000−2i−2i2i2i000000−2i2i2i−2i0000000000000000-66-66-222-200002-6-262-22-22-200002-22-22-2-220000−2i−2i2i2i000000002i2i−2i−2i0000002i−2i−2i2i0000000000000000
χ1406-66-62-2-220000-262-6-22-22-220000-22-22-222-20000−2i−2i2i2i000000002i2i−2i−2i0000002i−2i−2i2i0000000000000000-66-66-222-200002-6-262-22-22-200002-22-22-2-2200002i2i−2i−2i00000000−2i−2i2i2i000000−2i2i2i−2i0000000000000000
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χ1426-66-62-2-220000-262-6-2-22-22200002-22-22-2-22−2i−2i2i2i000000002i2i−2i−2i0000002i−2i−2i2i00000000000000000000-66-66-222-200002-6-2622-22-2-20000-22-22-222-22i2i−2i−2i00000000−2i−2i2i2i000000−2i2i2i−2i00000000000000000000
χ1436-66-6-666-666-6-6-2-222-2-2-2-2-22-2-222222222-2-200000000-2-222000000002-2000000000000000000000000-66-666-6-66-6-66622-2-222222-222-2-2-2-2-2-2-2-2220000000022-2-200000000-22000000000000000000000000
χ1446-66-6-666-6-6-666-2-222-2-2-2-2-2222-2-2222222-2-20000000022-2-200000000-22000000000000000000000000-66-666-6-6666-6-622-2-222222-2-2-222-2-2-2-2-2-22200000000-2-222000000002-2000000000000000000000000
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χ14688-8-888-8-8-88-88000000000000000000000000000000000000000000000000000000000000-11-111-11-1-8-888-8-8888-88-80000000000000000000000000000000000000000000000000000000000001-11-1-11-11
χ1478-8-88-88-888-8-88000000000000000000000000000000000000000000000000000000000000-111-1-111-1-888-88-88-8-888-80000000000000000000000000000000000000000000000000000000000001-1-111-1-11
χ1488-8-88-88-88-888-8000000000000000000000000000000000000000000000000000000000000-111-11-1-11-888-88-88-88-8-880000000000000000000000000000000000000000000000000000000000001-1-11-111-1
χ14912121212-4-4-4-40000-4-4-4-444-4-44400004-4-4400000000000000000000000000000000000000000000000000-12-12-12-12444400004444-4-444-4-40000-444-400000000000000000000000000000000000000000000000000
χ15012121212-4-4-4-40000-4-4-4-44-444-440000-444-400000000000000000000000000000000000000000000000000-12-12-12-12444400004444-44-4-44-400004-4-4400000000000000000000000000000000000000000000000000
χ1511212-12-12-4-444000000000000004-44-4000000002i−2i2i−2i2i−2i2i−2i0000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000-12-12121244-4-400000000000000-44-4400000000−2i2i−2i2i−2i2i−2i2i00002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ1521212-12-12-4-444000000000000004-44-400000000−2i2i−2i2i−2i2i−2i2i00002i−2i2i−2i2i−2i2i−2i00000000000000000000000000-12-12121244-4-400000000000000-44-44000000002i−2i2i−2i2i−2i2i−2i0000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ1531212-12-12-4-44400000000000000-44-44000000002i−2i2i−2i−2i2i−2i2i0000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000-12-12121244-4-4000000000000004-44-400000000−2i2i−2i2i2i−2i2i−2i00002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ1541212-12-12-4-44400000000000000-44-4400000000−2i2i−2i2i2i−2i2i−2i00002i−2i2i−2i−2i2i−2i2i00000000000000000000000000-12-12121244-4-4000000000000004-44-4000000002i−2i2i−2i−2i2i−2i2i0000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ15512-1212-124-4-440000-4-44444-4-44-40000-444-400000000000000000000000000000000000000000000000000-1212-1212-444-4000044-4-4-4-444-4400004-4-4400000000000000000000000000000000000000000000000000
χ15612-1212-124-4-440000-4-4444-444-4-400004-4-4400000000000000000000000000000000000000000000000000-1212-1212-444-4000044-4-4-44-4-4440000-444-400000000000000000000000000000000000000000000000000
χ15712-12-12124-44-4000000000000004-4-44000000002-2-222-2-220000-222-2-222-200000000000000000000000000-121212-12-44-4400000000000000-444-400000000-222-2-222-200002-2-222-2-2200000000000000000000000000
χ15812-12-12124-44-4000000000000004-4-4400000000-222-2-222-200002-2-222-2-2200000000000000000000000000-121212-12-44-4400000000000000-444-4000000002-2-222-2-220000-222-2-222-200000000000000000000000000
χ15912-12-12124-44-400000000000000-444-4000000002-2-22-222-20000-222-22-2-2200000000000000000000000000-121212-12-44-44000000000000004-4-4400000000-222-22-2-2200002-2-22-222-200000000000000000000000000
χ16012-12-12124-44-400000000000000-444-400000000-222-22-2-2200002-2-22-222-200000000000000000000000000-121212-12-44-44000000000000004-4-44000000002-2-22-222-20000-222-22-2-2200000000000000000000000000

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