Finite Group Databasebeta

← Group #13177530

Character table — Group #13177530

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111-11111-111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11
χ61111111111111111111111111-11111-111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1
χ71111111111111111111111111-11111-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-111-1-11-1
χ81111111111111111111111111-11111-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ9111111111111111111111111-111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-111111-1-1-1
χ10111111111111111111111111-111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-1-1-1-1111
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χ14111111111111111111111111-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1111-1-11
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χ8644-4-44-2-2-2-2-422224-2-2-2-4222-2200-21110−2i32i322-1-1-1-1-1-1-211100−2i32i3−2i32i3−2i32i30000000000000−2i32i3i3−i3i3−i3i3−i3003-33-33-3000i3−i3i3−i3i3−i300000000000000000000000000000000000000000000
χ8744-4-44-2-2-2-2-422224-2-2-2-4222-2200-21110−2i32i322-1-1-1-1-1-1-2111002i3−2i32i3−2i32i3−2i30000000000000−2i32i3i3−i3i3−i3i3−i300-33-33-33000−i3i3−i3i3−i3i300000000000000000000000000000000000000000000
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χ9044-4-4-24-2-242-422-4-24-2-22-4224-400-24-2-200022-4-42222-24-2-2−2i32i300−2i32i32i3−2i3000000000000000000000000000000−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000
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χ9244-4-4-24-2-2-22-4222-24-2-22-422-22001-2110−2i32i3-1-122-1-1-1-11-211−2i32i300−2i32i32i3−2i30000000000000i3−i3−2i32i3i3−i3i3−i33-3003-3-330i3−i300i3−i3−i3i300000000000000000000000000000000000000000000
χ9344-4-4-24-2-2-22-4222-24-2-22-422-22001-2110−2i32i3-1-122-1-1-1-11-2112i3−2i3002i3−2i3−2i32i30000000000000i3−i3−2i32i3i3−i3i3−i3-3300-333-30−i3i300−i3i3i3−i300000000000000000000000000000000000000000000
χ9444-4-4-24-2-2-22-4222-24-2-22-422-22001-21102i3−2i3-1-122-1-1-1-11-211−2i32i300−2i32i32i3−2i30000000000000−i3i32i3−2i3−i3i3−i3i3-3300-333-30i3−i300i3−i3−i3i300000000000000000000000000000000000000000000
χ9544-4-4-24-2-2-22-4222-24-2-22-422-22001-21102i3−2i3-1-122-1-1-1-11-2112i3−2i3002i3−2i3−2i32i30000000000000−i3i32i3−2i3−i3i3−i3i33-3003-3-330−i3i300−i3i3i3−i300000000000000000000000000000000000000000000
χ9644-4-4-2-24-2422-42-4-2-24-222-424-400-2-24-20002222-4-422-2-24-2−2i32i32i3−2i300−2i32i3000000000000000000000000000000−2i32i32i3−2i300−2i32i300000000000000000000000000000000000000000000
χ9744-4-4-2-24-2422-42-4-2-24-222-424-400-2-24-20002222-4-422-2-24-22i3−2i3−2i32i3002i3−2i30000000000000000000000000000002i3−2i3−2i32i3002i3−2i300000000000000000000000000000000000000000000
χ9844-4-4-2-24-2-222-422-2-24-222-42-220011-210−2i32i3-1-1-1-122-1-111-21−2i32i32i3−2i300−2i32i30000000000000i3−i3i3−i3−2i32i3i3−i33-3-33003-30i3−i3−i3i300i3−i300000000000000000000000000000000000000000000
χ9944-4-4-2-24-2-222-422-2-24-222-42-220011-210−2i32i3-1-1-1-122-1-111-212i3−2i3−2i32i3002i3−2i30000000000000i3−i3i3−i3−2i32i3i3−i3-333-300-330−i3i3i3−i300−i3i300000000000000000000000000000000000000000000
χ10044-4-4-2-24-2-222-422-2-24-222-42-220011-2102i3−2i3-1-1-1-122-1-111-21−2i32i32i3−2i300−2i32i30000000000000−i3i3−i3i32i3−2i3−i3i3-333-300-330i3−i3−i3i300i3−i300000000000000000000000000000000000000000000
χ10144-4-4-2-24-2-222-422-2-24-222-42-220011-2102i3−2i3-1-1-1-122-1-111-212i3−2i3−2i32i3002i3−2i30000000000000−i3i3−i3i32i3−2i3−i3i33-3-33003-30−i3i3i3−i300−i3i300000000000000000000000000000000000000000000
χ10244-4-4-2-2-244222-4-4-2-2-24222-44-400-2-2-24000222222-4-4-2-2-24−2i32i3−2i32i32i3−2i300000000000000000000000000000000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000
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χ10444-4-4-2-2-24-2222-42-2-2-24222-4-2200111-20−2i32i3-1-1-1-1-1-122111-2−2i32i3−2i32i32i3−2i3000000000000000i3−i3i3−i3i3−i3−2i32i33-33-3-33000i3−i3i3−i3−i3i30000000000000000000000000000000000000000000000
χ10544-4-4-2-2-24-2222-42-2-2-24222-4-2200111-20−2i32i3-1-1-1-1-1-122111-22i3−2i32i3−2i3−2i32i3000000000000000i3−i3i3−i3i3−i3−2i32i3-33-333-3000−i3i3−i3i3i3−i30000000000000000000000000000000000000000000000
χ10644-4-4-2-2-24-2222-42-2-2-24222-4-2200111-202i3−2i3-1-1-1-1-1-122111-2−2i32i3−2i32i32i3−2i3000000000000000−i3i3−i3i3−i3i32i3−2i3-33-333-3000i3−i3i3−i3−i3i30000000000000000000000000000000000000000000000
χ10744-4-4-2-2-24-2222-42-2-2-24222-4-2200111-202i3−2i3-1-1-1-1-1-122111-22i3−2i32i3−2i3−2i32i3000000000000000−i3i3−i3i3−i3i32i3−2i33-33-3-33000−i3i3−i3i3i3−i30000000000000000000000000000000000000000000000
χ1084-44-44444-24444-2-4-4-4-4-4-4-4-42200-2-2-2-2000-22-22-22-2222220000000000000000000000000000000000000000000000000000000000000000004i−4i000000000000−2i2i00000000
χ1094-44-44444-24444-2-4-4-4-4-4-4-4-42200-2-2-2-2000-22-22-22-222222000000000000000000000000000000000000000000000000000000000000000000−4i4i0000000000002i−2i00000000
χ1104-44-44-2-2-244-2-2-24-4222-4222-4-4004-2-2-20004-4-22-22-22-422200000000004i−4i000000000000000000000000000000000000000000004i−4i−2i2i−2i2i−2i2i00000000000000000000000000
χ1114-44-44-2-2-244-2-2-24-4222-4222-4-4004-2-2-20004-4-22-22-22-42220000000000−4i4i00000000000000000000000000000000000000000000−4i4i2i−2i2i−2i2i−2i00000000000000000000000000
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χ1154-44-4-2-24-24-2-24-2422-4222-42-4-400-2-24-2000-22-224-4-2222-420000000000−4i4i000000000000000000000000000000000000000000002i−2i2i−2i−4i4i2i−2i00000000000000000000000000
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χ1174-44-4-2-2-244-2-2-244222-4222-4-4-400-2-2-24000-22-22-224-4222-40000000000−4i4i000000000000000000000000000000000000000000002i−2i2i−2i2i−2i−4i4i00000000000000000000000000
χ1184-4-444444-2-4-4-4-42-4-4-4-444442-200-2-2-2-20002-22-22-22-2222200000000000000000000000000000000000000000000000000000000000000004-4000000000000-220000000000
χ1194-4-444444-2-4-4-4-42-4-4-4-444442-200-2-2-2-20002-22-22-22-222220000000000000000000000000000000000000000000000000000000000000000-440000000000002-20000000000
χ1204-4-444-2-2-24-4222-4-42224-2-2-2-44004-2-2-2000-442-22-22-2-4222000000004-4000000000000000000000000000000000000004-4-22-22-220000000000000000000000000000000000
χ1214-4-444-2-2-24-4222-4-42224-2-2-2-44004-2-2-2000-442-22-22-2-422200000000-4400000000000000000000000000000000000000-442-22-22-20000000000000000000000000000000000
χ1224-4-44-24-2-242-422-42-422-24-2-2-4400-24-2-20002-2-442-22-22-422000000004-400000000000000000000000000000000000000-224-4-22-220000000000000000000000000000000000
χ1234-4-44-24-2-242-422-42-422-24-2-2-4400-24-2-20002-2-442-22-22-42200000000-44000000000000000000000000000000000000002-2-442-22-20000000000000000000000000000000000
χ1244-4-44-2-24-2422-42-422-42-2-24-2-4400-2-24-20002-22-2-442-222-42000000004-400000000000000000000000000000000000000-22-224-4-220000000000000000000000000000000000
χ1254-4-44-2-24-2422-42-422-42-2-24-2-4400-2-24-20002-22-2-442-222-4200000000-44000000000000000000000000000000000000002-22-2-442-20000000000000000000000000000000000
χ1264-4-44-2-2-244222-4-4222-4-2-2-24-4400-2-2-240002-22-22-2-44222-4000000004-400000000000000000000000000000000000000-22-22-224-40000000000000000000000000000000000
χ1274-4-44-2-2-244222-4-4222-4-2-2-24-4400-2-2-240002-22-22-2-44222-400000000-44000000000000000000000000000000000000002-22-22-2-440000000000000000000000000000000000
χ1288-88-88-4-4-4-48-4-4-4-4-8444-84444400-4222000-442-22-22-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8-48-4-4-4-48-4-4-44-8444-84444002-4220002-2-442-22-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-4-48-4-4-4-48-4-444-8444-84440022-420002-22-2-442-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-4-48-4-4-4-48-4444-8444-84400222-40002-22-22-2-44-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-888-4-4-4-4-84444-84448-4-4-44-400-42220004-4-22-22-224-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88-48-4-4-44-84444-844-48-4-44-4002-422000-224-4-22-22-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88-4-48-4-444-84444-84-4-48-44-40022-42000-22-224-4-22-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4-4-48-4444-84444-8-4-4-484-400222-4000-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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