Finite Group Databasebeta

← Group #10966538

Character table — Group #10966538

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-111-1-111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-111-1-111
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χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
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χ711111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ721111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ731111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ741111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ75111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11-11-1-111-1-111-1-111-1-111-1-111-1-111
χ76111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11-11-1-111-1-11111-1-111-1-111-1-111-1-1
χ77111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-11-111-1-111-1-1-1-111-1-11111-1-111-1-1
χ78111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-11-111-1-111-1-111-1-111-1-1-1-111-1-111
χ79111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ80111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-111
χ82111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ8322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2111111111111-2-2-2-2111111110000000000000000
χ8422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-21111111111112222-1-1-1-1-1-1-1-10000000000000000
χ8522222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-211111111-1-1-1-122-2-2-1-1-1-111110000000000000000-2-2-2-2-2-2-2-21-2-2-2-22222111111122-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ8622222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-211111111-1-1-1-1-2-2221111-1-1-1-10000000000000000-2-2-2-2-2-2-2-21-2-2-2-22222111111122-1-1-1-1-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ8722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-22-2-1-111-1-1110000000000000000-2-2-2-2-2-2-2-212222-2-2-2-21111111221111-1-1-1-1-1-1-1-1-22-2211-1-111-1-10000000000000000
χ8822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-1-1-111111111-22-2211-1-111-1-10000000000000000-2-2-2-2-2-2-2-212222-2-2-2-21111111221111-1-1-1-1-1-1-1-12-22-2-1-111-1-1110000000000000000
χ8922222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-1-1-111112-2-22-1-11111-1-10000000000000000-2-2-2-2-2-2-2-21222222221111111-2-2-1-1-1-11111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ9022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-1-1-11111-222-211-1-1-1-1110000000000000000-2-2-2-2-2-2-2-21222222221111111-2-2-1-1-1-11111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ9122-222-2-2-2222-2-2000022-2-2-2-22000000000022-2-200000000000000002i−2i2i−2i00000000-2-22-2-2222-2-2-2220000-2-22222-20000000000-2-2220000000000000000−2i2i−2i2i00000000
χ9222-222-2-2-2222-2-2000022-2-2-2-22000000000022-2-20000000000000000−2i2i−2i2i00000000-2-22-2-2222-2-2-2220000-2-22222-20000000000-2-22200000000000000002i−2i2i−2i00000000
χ9322-222-2-2-22-2-222000022-2-2-2-220000000000-2-22200000000000000002i−2i−2i2i00000000-2-22-2-2222-222-2-20000-2-22222-2000000000022-2-20000000000000000−2i2i2i−2i00000000
χ9422-222-2-2-22-2-222000022-2-2-2-220000000000-2-2220000000000000000−2i2i2i−2i00000000-2-22-2-2222-222-2-20000-2-22222-2000000000022-2-200000000000000002i−2i−2i2i00000000
χ9522-2-2-222-2200002i2i−2i−2i2-22-22-2-2002i2i−2i−2i0000000000000000000000000000002i−2i002-2-2-2222-2-22-20000−2i−2i2i2i-22-22-22200−2i−2i2i2i000000000000000000000000000000−2i2i00-22
χ9622-2-2-222-2200002i2i−2i−2i2-22-22-2-2002i2i−2i−2i000000000000000000000000000000−2i2i00-22-2-2222-2-22-20000−2i−2i2i2i-22-22-22200−2i−2i2i2i0000000000000000000000000000002i−2i002-2
χ9722-2-2-222-220000−2i−2i2i2i2-22-22-2-200−2i−2i2i2i0000000000000000000000000000002i−2i00-22-2-2222-2-22-200002i2i−2i−2i-22-22-222002i2i−2i−2i000000000000000000000000000000−2i2i002-2
χ9822-2-2-222-220000−2i−2i2i2i2-22-22-2-200−2i−2i2i2i000000000000000000000000000000−2i2i002-2-2-2222-2-22-200002i2i−2i−2i-22-22-222002i2i−2i−2i0000000000000000000000000000002i−2i00-22
χ992-222-22-2-222-22-20000-2-222-2-2200000000002-22-20000000000002i−2i2i−2i000000000000-22-2-22-222-2-22-22000022-2-222-20000000000-22-22000000000000−2i2i−2i2i000000000000
χ1002-222-22-2-222-22-20000-2-222-2-2200000000002-22-2000000000000−2i2i−2i2i000000000000-22-2-22-222-2-22-22000022-2-222-20000000000-22-220000000000002i−2i2i−2i000000000000
χ1012-222-22-2-22-22-220000-2-222-2-220000000000-22-220000000000002i−2i−2i2i000000000000-22-2-22-222-22-22-2000022-2-222-200000000002-22-2000000000000−2i2i2i−2i000000000000
χ1022-222-22-2-22-22-220000-2-222-2-220000000000-22-22000000000000−2i2i2i−2i000000000000-22-2-22-222-22-22-2000022-2-222-200000000002-22-20000000000002i−2i−2i2i000000000000
χ1032-22-22-22-2200002i−2i2i−2i-22-222-2-2002i−2i2i−2i00000000000000000000000000002-2002i−2i00-22-22-22-22-20000−2i2i−2i2i2-22-2-22200−2i2i−2i2i0000000000000000000000000000-2200−2i2i00
χ1042-22-22-22-2200002i−2i2i−2i-22-222-2-2002i−2i2i−2i0000000000000000000000000000-2200−2i2i00-22-22-22-22-20000−2i2i−2i2i2-22-2-22200−2i2i−2i2i00000000000000000000000000002-2002i−2i00
χ1052-22-22-22-220000−2i2i−2i2i-22-222-2-200−2i2i−2i2i00000000000000000000000000002-200−2i2i00-22-22-22-22-200002i−2i2i−2i2-22-2-222002i−2i2i−2i0000000000000000000000000000-22002i−2i00
χ1062-22-22-22-220000−2i2i−2i2i-22-222-2-200−2i2i−2i2i0000000000000000000000000000-22002i−2i00-22-22-22-22-200002i−2i2i−2i2-22-2-222002i−2i2i−2i00000000000000000000000000002-200−2i2i00
χ1072-2-22-2-22222-2-222-2-22-2-2-2-22222-22-2-2222-2-22-2-220000000000000000000000000000-222-222-2-2-2-222-2-222-22222-2-2-2-22-222-2-2-222-222-20000000000000000000000000000
χ1082-2-22-2-22222-2-22-222-2-2-2-2-2222-22-222-2-2-2222-2-220000000000000000000000000000-222-222-2-2-2-222-22-2-222222-2-2-22-22-2-2222-2-2-222-20000000000000000000000000000
χ1092-2-22-2-2222-222-22-2-22-2-2-2-2222-222-2-22-2-222-222-20000000000000000000000000000-222-222-2-2-22-2-22-222-22222-2-2-22-2-222-222-2-22-2-220000000000000000000000000000
χ1102-2-22-2-2222-222-2-222-2-2-2-2-22222-2-222-222-2-2-222-20000000000000000000000000000-222-222-2-2-22-2-222-2-222222-2-2-2-222-2-22-2-2222-2-220000000000000000000000000000
χ1112-2-22-2-222-12-2-222-2-221111-1-1-12-2-111-1-1-111-111-10000−i3i3−i3i3−i3i3−i3i30000000000000000-222-222-2-21-222-2-222-2-1-1-1-1111-221-1-1111-1-11-1-110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ1122-2-22-2-222-12-2-222-2-221111-1-1-12-2-111-1-1-111-111-10000i3−i3i3−i3i3−i3i3−i30000000000000000-222-222-2-21-222-2-222-2-1-1-1-1111-221-1-1111-1-11-1-110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ1132-2-22-2-222-12-2-22-222-21111-1-1-1-221-1-1111-1-1-111-10000−i3i3−i3i3i3−i3i3−i30000000000000000-222-222-2-21-222-22-2-22-1-1-1-11112-2-111-1-1-1111-1-110000i3−i3i3−i3−i3i3−i3i30000000000000000
χ1142-2-22-2-222-12-2-22-222-21111-1-1-1-221-1-1111-1-1-111-10000i3−i3i3−i3−i3i3−i3i30000000000000000-222-222-2-21-222-22-2-22-1-1-1-11112-2-111-1-1-1111-1-110000−i3i3−i3i3i3−i3i3−i30000000000000000
χ1152-2-22-2-222-1-222-22-2-221111-1-1-1-22-111-111-1-11-1-110000−i3i3i3−i3−i3i3i3−i30000000000000000-222-222-2-212-2-22-222-2-1-1-1-11112-21-1-11-1-111-111-10000i3−i3−i3i3i3−i3−i3i30000000000000000
χ1162-2-22-2-222-1-222-22-2-221111-1-1-1-22-111-111-1-11-1-110000i3−i3−i3i3i3−i3−i3i30000000000000000-222-222-2-212-2-22-222-2-1-1-1-11112-21-1-11-1-111-111-10000−i3i3i3−i3−i3i3i3−i30000000000000000
χ1172-2-22-2-222-1-222-2-222-21111-1-1-12-21-1-11-1-1111-1-110000−i3i3i3−i3i3−i3−i3i30000000000000000-222-222-2-212-2-222-2-22-1-1-1-1111-22-111-111-1-1-111-10000i3−i3−i3i3−i3i3i3−i30000000000000000
χ1182-2-22-2-222-1-222-2-222-21111-1-1-12-21-1-11-1-1111-1-110000i3−i3−i3i3−i3i3i3−i30000000000000000-222-222-2-212-2-222-2-22-1-1-1-1111-22-111-111-1-1-111-10000−i3i3i3−i3i3−i3−i3i30000000000000000
χ119444-4-4-4-444000000004-4-44-44-4000000000000000000000000000000000000000000-4-4-44444-4-400000000-444-44-44000000000000000000000000000000000000000000
χ120444-4-4-4-44-200000000-222-22-2200000023−2323−2300000000000000000000000000000000-4-4-44444-42000000002-2-22-22-2000000−2323−232300000000000000000000000000000000
χ121444-4-4-4-44-200000000-222-22-22000000−2323−232300000000000000000000000000000000-4-4-44444-42000000002-2-22-22-200000023−2323−2300000000000000000000000000000000
χ12244-444-4-4-4-244-4-40000-2-22222-20000000000-2-2220000000000000000000000000000-4-44-4-44442-4-444000022-2-2-2-22000000000022-2-20000000000000000000000000000
χ12344-444-4-4-4-2-4-4440000-2-22222-2000000000022-2-20000000000000000000000000000-4-44-4-4444244-4-4000022-2-2-2-220000000000-2-2220000000000000000000000000000
χ12444-4-4-444-4-200004i4i−4i−4i-22-22-22200−2i−2i2i2i000000000000000000000000000000000000-4-4444-4-4420000−4i−4i4i4i2-22-22-2-2002i2i−2i−2i000000000000000000000000000000000000
χ12544-4-4-444-4-20000−4i−4i4i4i-22-22-222002i2i−2i−2i000000000000000000000000000000000000-4-4444-4-44200004i4i−4i−4i2-22-22-2-200−2i−2i2i2i000000000000000000000000000000000000
χ1264-444-44-4-4-24-44-4000022-2-222-20000000000-22-220000000000000000000000000000-44-4-44-4442-44-440000-2-222-2-2200000000002-22-20000000000000000000000000000
χ1274-444-44-4-4-2-44-44000022-2-222-200000000002-22-20000000000000000000000000000-44-4-44-44424-44-40000-2-222-2-220000000000-22-220000000000000000000000000000
χ1284-44-44-44-4-200004i−4i4i−4i2-22-2-22200−2i2i−2i2i000000000000000000000000000000000000-44-44-44-4420000−4i4i−4i4i-22-222-2-2002i−2i2i−2i000000000000000000000000000000000000
χ1294-44-44-44-4-20000−4i4i−4i4i2-22-2-222002i−2i2i−2i000000000000000000000000000000000000-44-44-44-44200004i−4i4i−4i-22-222-2-200−2i2i−2i2i000000000000000000000000000000000000
χ1304-4-4-444-44400000000-444-4-44-4000000000000000000000000000000000000000000-4444-4-44-4-4000000004-4-444-44000000000000000000000000000000000000000000
χ1314-4-4-444-44-2000000002-2-222-2200000023−23−232300000000000000000000000000000000-4444-4-44-4200000000-222-2-22-2000000−232323−2300000000000000000000000000000000
χ1324-4-4-444-44-2000000002-2-222-22000000−232323−2300000000000000000000000000000000-4444-4-44-4200000000-222-2-22-200000023−23−232300000000000000000000000000000000

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