Finite Group Databasebeta

← Group #13177706

Character table — Group #13177706

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1
χ411111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111-1-1-1-1-11-1-111-11111111111111-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111-1-1-1-1-11-1-111-1
χ61111111111111-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-11-111-1-111111111111111-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-11-111-1-11
χ71111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111-11-1-1-1-111111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111-11-1-1-1-11
χ81111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111111-11111-11111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111111-11111-1
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χ12544-2-24-2-2-4-2-24-2-2011-212i3−2i311-21222-42000000−i3−i32i3−i3i3i3−2i3i3-1-12-10000000000000000000000000-4-422-422422-4220-1-12-1−2i32i3-1-12-1-2-2-24-2000000i3i3−2i3i3−i3−i32i3−i311-210000000000000000000000000
χ12644-2-2-244-4-2-2-2440-2-2-2400-2-2-24-4222-400000000000000222-40000000000000000000000000-4-4222-4-44222-4-40222-400222-44-2-2-2400000000000000-2-2-240000000000000000000000000
χ12744-2-2-24-24-2-2-24-24111-2-2-2111-2-2-2-2-2400-2-2-24111-2111-2111-20000000000000000000000000-4-4222-42-4222-42-4-1-1-1222-1-1-122222-400222-4-1-1-12-1-1-12-1-1-120000000000000000000000000
χ12844-2-2-24-24-2-2-24-2-4111-222111-2-2-2-2-2400222-4-1-1-12-1-1-12111-20000000000000000000000000-4-4222-42-4222-424-1-1-12-2-2-1-1-122222-400-2-2-24111-2111-2-1-1-120000000000000000000000000
χ12944-2-2-24-2-4-2-2-24-20111-2−2i32i3111-22222-4000000i3i3i3−2i3−i3−i3−i32i3-1-1-120000000000000000000000000-4-4222-424222-420-1-1-122i3−2i3-1-1-12-2-2-2-24000000−i3−i3−i32i3i3i3i3−2i3111-20000000000000000000000000
χ13044-2-2-24-2-4-2-2-24-20111-22i3−2i3111-22222-4000000−i3−i3−i32i3i3i3i3−2i3-1-1-120000000000000000000000000-4-4222-424222-420-1-1-12−2i32i3-1-1-12-2-2-2-24000000i3i3i3−2i3−i3−i3−i32i3111-20000000000000000000000000
χ1314-44444-20-4-4-4-420-2-2-2-2002222000000000000000000000004i−4i0000000000−2i2i00000000000-44-4-4-4-4204444-20222200-2-2-2-200000000000000000000000−4i4i00000000002i−2i00000000000
χ1324-44444-20-4-4-4-420-2-2-2-200222200000000000000000000000−4i4i00000000002i−2i00000000000-44-4-4-4-4204444-20222200-2-2-2-2000000000000000000000004i−4i0000000000−2i2i00000000000
χ1334-44-2-2-240-4222-404-2-2-200-422200000−2i22i20000000000000000000−2i22i2i2−i2i2−i2i2−i200000000000000-44-4222-404-2-2-240-4222004-2-2-2000002i2−2i200000000000000000002i2−2i2−i2i2−i2i2−i2i200000000000000
χ1344-44-2-2-240-4222-404-2-2-200-4222000002i2−2i200000000000000000002i2−2i2−i2i2−i2i2−i2i200000000000000-44-4222-404-2-2-240-4222004-2-2-200000−2i22i20000000000000000000−2i22i2i2−i2i2−i2i2−i200000000000000
χ1354-4-24-2-2402-422-40-24-2-2002-42200000−2i22i20000000000000000000i2−i2−2i22i2i2−i2i2−i200000000000000-442-422-40-24-2-2402-42200-24-2-2000002i2−2i20000000000000000000−i2i22i2−2i2−i2i2−i2i200000000000000
χ1364-4-24-2-2402-422-40-24-2-2002-422000002i2−2i20000000000000000000−i2i22i2−2i2−i2i2−i2i200000000000000-442-422-40-24-2-2402-42200-24-2-200000−2i22i20000000000000000000i2−i2−2i22i2i2−i2i2−i200000000000000
χ1374-4-2-24-24022-42-40-2-24-20022-4200000−2i22i20000000000000000000i2−i2i2−i2−2i22i2i2−i200000000000000-4422-42-40-2-24-24022-4200-2-24-2000002i2−2i20000000000000000000−i2i2−i2i22i2−2i2−i2i200000000000000
χ1384-4-2-24-24022-42-40-2-24-20022-42000002i2−2i20000000000000000000−i2i2−i2i22i2−2i2−i2i200000000000000-4422-42-40-2-24-24022-4200-2-24-200000−2i22i20000000000000000000i2−i2i2−i2−2i22i2i2−i200000000000000
χ1394-4-2-2-2440222-4-40-2-2-2400222-400000−2i22i20000000000000000000i2−i2i2−i2i2−i2−2i22i200000000000000-44222-4-40-2-2-2440222-400-2-2-24000002i2−2i20000000000000000000−i2i2−i2i2−i2i22i2−2i200000000000000
χ1404-4-2-2-2440222-4-40-2-2-2400222-4000002i2−2i20000000000000000000−i2i2−i2i2−i2i22i2−2i200000000000000-44222-4-40-2-2-2440222-400-2-2-2400000−2i22i20000000000000000000i2−i2i2−i2i2−i2−2i22i200000000000000
χ1418-88-4-4-4-40-844440-4222004-2-2-2000000000000000000000000000000000000000000000000-88-8444408-4-4-4-404-2-2-200-4222000000000000000000000000000000000000000000000000
χ1428-8-48-4-4-404-844402-42200-24-2-2000000000000000000000000000000000000000000000000-884-84440-48-4-4-40-24-2-2002-422000000000000000000000000000000000000000000000000
χ1438-8-4-48-4-4044-844022-4200-2-24-2000000000000000000000000000000000000000000000000-8844-8440-4-48-4-40-2-24-20022-42000000000000000000000000000000000000000000000000
χ1448-8-4-4-48-40444-840222-400-2-2-24000000000000000000000000000000000000000000000000-88444-840-4-4-48-40-2-2-2400222-4000000000000000000000000000000000000000000000000

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