Finite Group Databasebeta

← Group #13177362

Character table — Group #13177362

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222224444444444444444444444444444466888888888888888888888888888888888812121212121212121212121212121212121212181824242424242424243636363636363654547272108108108
order12223333366666666666666622333346666666666666666666612124466666666666666666666661212121212121212121212122441212121212121212121212121212121222666612121212444661212441212244
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
χ51111111111111111111111111-11111-111111111111111111111-1-111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1111-11-1-1
χ61111111111111111111111111-11111-111111111111111111111-1-111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-11-111
χ71111111111111111111111111-11111-111111111111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-1-1-11-1-111
χ81111111111111111111111111-11111-111111111111111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11111-111-1-1
χ9111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-1111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111-11-1-11
χ10111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-1111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-11-111-1
χ11111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1111-1-1-1-1-1111-1
χ12111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-111111-1-1-11
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χ14111111111111111111111111-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1111-11
χ15111111111111111111111111-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-11111-1-1-1-11-11
χ16111111111111111111111111-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111-1-1-1-11111-11-1
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χ1922222222-12222-122222222-1-12-2-1-1-1-1-222222222-1-1-1-1-1-1-1-1-1-1-1-11100-2-2-2-2-11-1-1-1-1-1-1-1-111111111-2-2-2-21111111100000000000000000002200000000-22-2-1-11100-11000
χ2022222222-12222-122222222-1-12-2-1-1-1-1-222222222-1-1-1-1-1-1-1-1-1-1-1-11100-2-2-2-2-11-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000000000000000000-2-2000000002-2211-1-1001-1000
χ2122222222-12222-122222222-1-1-22-1-1-1-1-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1110022221-111111111-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000000002200000000-2-22-1-111001-1000
χ2222222222-12222-122222222-1-1-22-1-1-1-1-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1110022221-111111111-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000-2-20000000022-211-1-100-11000
χ2322222222-12222-122222222-1-1-2-2-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-21111111111111111112222-1-1-1-1-1-1-1-1000000000000000000022000000002-2-2-1-1-1-10011000
χ2422222222-12222-122222222-1-1-2-2-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-21111111111111111112222-1-1-1-1-1-1-1-10000000000000000000-2-200000000-222111100-1-1000
χ2522222-1-1-122-1-1-122-1-1-12-1-1-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1002-1-1-12-1-1-100000000000000
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χ2722222-1-1-122-1-1-122-1-1-12-1-1-1222-22-1-1-1-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-222-21112-222-1-1-1-1-1-1-2-2111111-2111-2-2111111-2-2222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100000000000000
χ2822222-1-1-122-1-1-122-1-1-12-1-1-1222-22-1-1-1-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2-21112-222-1-1-1-1-1-1-2-2111111-2111-2-211111122-2-2-2111111-2-2111111002-1-1-12-1-1-100000000000000
χ2922222-1-1-122-1-1-122-1-1-12-1-1-122-222-1-1-1-2-2-211111122-1-1-1-1-1-12-1-1-1-2-2222-1-1-1-22-2-211111122-1-1-1-1-1-1-2111-2-21111112-2-222-1-1-1-1-1-1-2-2111111002-1-1-1-211100000000000000
χ3022222-1-1-122-1-1-122-1-1-12-1-1-122-222-1-1-1-2-2-211111122-1-1-1-1-1-12-1-1-1-2-2-2-22-1-1-1-22-2-211111122-1-1-1-1-1-1-2111-2-2111111-222-2-211111122-1-1-1-1-1-100-21112-1-1-100000000000000
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χ3222222-1-1-122-1-1-122-1-1-12-1-1-122-2-22-1-1-12-2-211111122-1-1-1-1-1-12-1-1-122-2-2-2111-2-2-2-2111111-2-21111112-1-1-122-1-1-1-1-1-12-22-2-211111122-1-1-1-1-1-1002-1-1-1-211100000000000000
χ332222-12-1-12-12-1-12-12-1-1-12-1-12222-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-12-1-12222-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-100-12-1-1-12-1-100000000000000
χ342222-12-1-12-12-1-12-12-1-1-12-1-12222-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-12-1-122-2-2-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-211-2-2111111-2-21111001-2111-21100000000000000
χ352222-12-1-12-12-1-12-12-1-1-12-1-1222-2-12-1-1-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-2-2221-2112-2-1-122-1-1-1-111-2-211111-21111-2-21111-2-22-1-122-1-1-1-1-1-122-1-1-1-1001-2111-21100000000000000
χ362222-12-1-12-12-1-12-12-1-1-12-1-1222-2-12-1-1-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-2-2-2-21-2112-2-1-122-1-1-1-111-2-211111-21111-2-2111122-211-2-2111111-2-2111100-12-1-1-12-1-100000000000000
χ372222-12-1-12-12-1-12-12-1-1-12-1-122-22-12-1-1-211-2-21111-1-122-1-1-1-1-12-1-1-2-222-12-1-1-2211-2-21111-1-122-1-1-1-11-21111-2-211112-2-2-1-122-1-1-1-111-2-2111100-12-1-11-21100000000000000
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χ412222-1-12-12-1-12-12-1-12-1-1-12-12222-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12-12222-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1222-1-1-1-122-1-1-1-1-1-122-1-100-1-12-1-1-12-100000000000000
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χ944-44-44-2-2-2-2-422224-2-2-2-4222-2200-2111000−2i32i3−2i32i3−2i32i322-1-1-1-1-1-1-21112i3−2i30000000000i3−i3i3−i3i3−i300-33-33-3300002i3−2i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000000
χ954-44-44-2-2-2-2-422224-2-2-2-4222-2200-21110002i3−2i32i3−2i32i3−2i322-1-1-1-1-1-1-2111−2i32i30000000000−i3i3−i3i3−i3i300-33-33-330000−2i32i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000000
χ964-44-44-2-2-2-2-422224-2-2-2-4222-2200-21110002i3−2i32i3−2i32i3−2i322-1-1-1-1-1-1-21112i3−2i30000000000−i3i3−i3i3−i3i3003-33-33-300002i3−2i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000000
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χ984-44-4-24-2-242-422-4-24-2-22-4224-400-24-2-202i3−2i3002i3−2i3−2i32i322-4-42222-24-2-200000000002i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-24-2-2-22-4222-24-2-22-422-22001-2110−2i32i300−2i32i32i3−2i3-1-122-1-1-1-11-211−2i32i300000000i3−i300i3−i3−i3i33-3003-3-330000i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000000000000
χ1004-44-4-24-2-2-22-4222-24-2-22-422-22001-2110−2i32i300−2i32i32i3−2i3-1-122-1-1-1-11-2112i3−2i300000000i3−i300i3−i3−i3i3-3300-333-30000−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000000000000000
χ1014-44-4-24-2-2-22-4222-24-2-22-422-22001-21102i3−2i3002i3−2i3−2i32i3-1-122-1-1-1-11-211−2i32i300000000−i3i300−i3i3i3−i3-3300-333-30000i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000000000000
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χ1054-44-4-2-24-2-222-422-2-24-222-42-220011-210−2i32i32i3−2i300−2i32i3-1-1-1-122-1-111-21−2i32i300000000i3−i3−i3i300i3−i33-3-33003-30000i3−i3i3−i3−2i32i3i3−i30000000000000000000000000000000000000000000
χ1064-44-4-2-24-2-222-422-2-24-222-42-220011-210−2i32i32i3−2i300−2i32i3-1-1-1-122-1-111-212i3−2i300000000i3−i3−i3i300i3−i3-333-300-330000−i3i3−i3i32i3−2i3−i3i30000000000000000000000000000000000000000000
χ1074-44-4-2-24-2-222-422-2-24-222-42-220011-2102i3−2i3−2i32i3002i3−2i3-1-1-1-122-1-111-21−2i32i300000000−i3i3i3−i300−i3i3-333-300-330000i3−i3i3−i3−2i32i3i3−i30000000000000000000000000000000000000000000
χ1084-44-4-2-24-2-222-422-2-24-222-42-220011-2102i3−2i3−2i32i3002i3−2i3-1-1-1-122-1-111-212i3−2i300000000−i3i3i3−i300−i3i33-3-33003-30000−i3i3−i3i32i3−2i3−i3i30000000000000000000000000000000000000000000
χ1094-44-4-2-2-244222-4-4-2-2-24222-44-400-2-2-240−2i32i3−2i32i32i3−2i300222222-4-4-2-2-240000000000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000
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χ1124-44-4-2-2-24-2222-42-2-2-24222-4-2200111-20−2i32i3−2i32i32i3−2i300-1-1-1-1-1-122111-22i3−2i300000000i3−i3i3−i3−i3i300-33-333-3000000−i3i3−i3i3−i3i32i3−2i30000000000000000000000000000000000000000000
χ1134-44-4-2-2-24-2222-42-2-2-24222-4-2200111-202i3−2i32i3−2i3−2i32i300-1-1-1-1-1-122111-2−2i32i300000000−i3i3−i3i3i3−i300-33-333-3000000i3−i3i3−i3i3−i3−2i32i30000000000000000000000000000000000000000000
χ1144-44-4-2-2-24-2222-42-2-2-24222-4-2200111-202i3−2i32i3−2i3−2i32i300-1-1-1-1-1-122111-22i3−2i300000000−i3i3−i3i3i3−i3003-33-3-33000000−i3i3−i3i3−i3i32i3−2i30000000000000000000000000000000000000000000
χ1154-4-444444-2-4-4-4-42-4-4-4-444442-200-2-2-2-2000000000-22-22-22-2222220000000000000000000000000000000000000000000000000000000004-400000000000-22000000000
χ1164-4-444444-2-4-4-4-42-4-4-4-444442-200-2-2-2-2000000000-22-22-22-222222000000000000000000000000000000000000000000000000000000000-44000000000002-2000000000
χ1174-4-444-2-2-24-4222-4-42224-2-2-2-44004-2-2-20000000004-4-22-22-22-4222004-400000000000000000000000000000000000004-4-22-22-2200000000000000000000000000000000
χ1184-4-444-2-2-24-4222-4-42224-2-2-2-44004-2-2-20000000004-4-22-22-22-422200-440000000000000000000000000000000000000-442-22-22-200000000000000000000000000000000
χ1194-4-44-24-2-242-422-42-422-24-2-2-4400-24-2-2000000000-224-4-22-222-422004-40000000000000000000000000000000000000-224-4-22-2200000000000000000000000000000000
χ1204-4-44-24-2-242-422-42-422-24-2-2-4400-24-2-2000000000-224-4-22-222-42200-4400000000000000000000000000000000000002-2-442-22-200000000000000000000000000000000
χ1214-4-44-2-24-2422-42-422-42-2-24-2-4400-2-24-2000000000-22-224-4-2222-42004-40000000000000000000000000000000000000-22-224-4-2200000000000000000000000000000000
χ1224-4-44-2-24-2422-42-422-42-2-24-2-4400-2-24-2000000000-22-224-4-2222-4200-4400000000000000000000000000000000000002-22-2-442-200000000000000000000000000000000
χ1234-4-44-2-2-244222-4-4222-4-2-2-24-4400-2-2-24000000000-22-22-224-4222-4004-40000000000000000000000000000000000000-22-22-224-400000000000000000000000000000000
χ1244-4-44-2-2-244222-4-4222-4-2-2-24-4400-2-2-24000000000-22-22-224-4222-400-4400000000000000000000000000000000000002-22-22-2-4400000000000000000000000000000000
χ12588-8-88-4-4-4-48-4-4-4-4-8444-84444400-42220000000004-4-22-22-224-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-8-48-4-4-4-48-4-4-44-8444-84444002-422000000000-224-4-22-22-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-4-48-4-4-4-48-4-444-8444-84440022-42000000000-22-224-4-22-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1298-8-888-4-4-4-4-84444-84448-4-4-44-400-4222000000000-442-22-22-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-88-48-4-4-44-84444-844-48-4-44-4002-4220000000002-2-442-22-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88-4-48-4-444-84444-84-4-48-44-40022-420000000002-22-2-442-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-48-4444-84444-8-4-4-484-400222-40000000002-22-22-2-44-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000

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