Finite Group Databasebeta

← Group #13177335

Character table — Group #13177335

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
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χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
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χ151111-1-111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-1-1-1-11111-1-1-1-111111111-11-11-1-1-1-111-11-11
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χ10444-4-400-2-24-2-200−4i4i-22-224-4-2222-42-22211-2100000000001-11-1-221-1-33-333-33-30000-33-33-1-12-1000000002i−2i2i−2i−4i4i2i−2i002i−2i3i−3i3i−3i−3i3i−3i3i00003i−3i3i−3i−i−iii−i−iii2i2i−2i−2i−i−iii00000000000000000000000000000000000000
χ10544-4-400-2-2-244004i−4i-22-22-224-4222-44-4-4-2-2-240000000000-22-22-224-40000000000000000222-400000000−2i2i−2i2i−2i2i4i−4i004i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i00000000000000000000000000000000000000
χ10644-4-400-2-2-24400−4i4i-22-22-224-4222-44-4-4-2-2-240000000000-22-22-224-40000000000000000222-4000000002i−2i2i−2i2i−2i−4i4i00−4i4i00000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−4i−4i4i4i00000000000000000000000000000000000000
χ10744-4-400-2-2-24-2004i−4i-22-22-224-4222-4-222111-200000000001-11-11-1-223-33-33-33-3-33-330000-1-1-1200000000−2i2i−2i2i−2i2i4i−4i00−2i2i3i−3i3i−3i3i−3i3i−3i−3i3i−3i3i0000ii−i−iii−i−iii−i−i−2i−2i2i2i00000000000000000000000000000000000000
χ10844-4-400-2-2-24-2004i−4i-22-22-224-4222-4-222111-200000000001-11-11-1-22-33-33-33-333-33-30000-1-1-1200000000−2i2i−2i2i−2i2i4i−4i00−2i2i−3i3i−3i3i−3i3i−3i3i3i−3i3i−3i0000ii−i−iii−i−iii−i−i−2i−2i2i2i00000000000000000000000000000000000000
χ10944-4-400-2-2-24-200−4i4i-22-22-224-4222-4-222111-200000000001-11-11-1-223-33-33-33-3-33-330000-1-1-12000000002i−2i2i−2i2i−2i−4i4i002i−2i−3i3i−3i3i−3i3i−3i3i3i−3i3i−3i0000−i−iii−i−iii−i−iii2i2i−2i−2i00000000000000000000000000000000000000
χ11044-4-400-2-2-24-200−4i4i-22-22-224-4222-4-222111-200000000001-11-11-1-22-33-33-33-333-33-30000-1-1-12000000002i−2i2i−2i2i−2i−4i4i002i−2i3i−3i3i−3i3i−3i3i−3i−3i3i−3i3i0000−i−iii−i−iii−i−iii2i2i−2i−2i00000000000000000000000000000000000000
χ1114-44-4004444-24i−4i00-44-44-44-44-4-4-4-42-22-2-2-2-200000000002-22-22-22-2000000000000000022224i−4i4i−4i4i−4i4i−4i00000000−2i2i00−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ1124-44-4004444-2−4i4i00-44-44-44-44-4-4-4-42-22-2-2-2-200000000002-22-22-22-200000000000000002222−4i4i−4i4i−4i4i−4i4i000000002i−2i002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ1134-44-4004-2-2-244i−4i00-442-22-22-2-4222-44-44-2-2-20000000000-442-22-22-20000000000000000-42224i−4i−2i2i−2i2i−2i2i000000004i−4i004i4i−4i−4i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ1144-44-4004-2-2-24−4i4i00-442-22-22-2-4222-44-44-2-2-20000000000-442-22-22-20000000000000000-4222−4i4i2i−2i2i−2i2i−2i00000000−4i4i00−4i−4i4i4i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ1154-44-4004-2-2-2-24i−4i00-442-22-22-2-42222-22-211100000000002-2-11-11-1100003-3-333-3-333-3-332-1-1-14i−4i−2i2i−2i2i−2i2i00000000−2i2i00−2i−2i2i2iii−i−iii−i−iii−i−i00003i−3i3i−3i3i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000000000
χ1164-44-4004-2-2-2-24i−4i00-442-22-22-2-42222-22-211100000000002-2-11-11-110000-333-3-333-3-333-32-1-1-14i−4i−2i2i−2i2i−2i2i00000000−2i2i00−2i−2i2i2iii−i−iii−i−iii−i−i0000−3i3i−3i3i−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000000000
χ1174-44-4004-2-2-2-2−4i4i00-442-22-22-2-42222-22-211100000000002-2-11-11-1100003-3-333-3-333-3-332-1-1-1−4i4i2i−2i2i−2i2i−2i000000002i−2i002i2i−2i−2i−i−iii−i−iii−i−iii0000−3i3i−3i3i−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000000000
χ1184-44-4004-2-2-2-2−4i4i00-442-22-22-2-42222-22-211100000000002-2-11-11-110000-333-3-333-3-333-32-1-1-1−4i4i2i−2i2i−2i2i−2i000000002i−2i002i2i−2i−2i−i−iii−i−iii−i−iii00003i−3i3i−3i3i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000000000
χ1194-44-400-24-2-244i−4i002-2-442-22-22-422-44-4-24-2-200000000002-2-442-22-200000000000000002-422−2i2i4i−4i−2i2i−2i2i000000004i−4i00−2i−2i2i2i4i4i−4i−4i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ1204-44-400-24-2-24−4i4i002-2-442-22-22-422-44-4-24-2-200000000002-2-442-22-200000000000000002-4222i−2i−4i4i2i−2i2i−2i00000000−4i4i002i2i−2i−2i−4i−4i4i4i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ1214-44-400-24-2-2-24i−4i002-2-442-22-22-4222-221-2110000000000-112-2-11-113-3-3300003-3-33-333-3-12-1-1−2i2i4i−4i−2i2i−2i2i00000000−2i2i00ii−i−i−2i−2i2i2iii−i−iii−i−i3i−3i3i−3i00003i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000
χ1224-44-400-24-2-2-24i−4i002-2-442-22-22-4222-221-2110000000000-112-2-11-11-333-30000-333-33-3-33-12-1-1−2i2i4i−4i−2i2i−2i2i00000000−2i2i00ii−i−i−2i−2i2i2iii−i−iii−i−i−3i3i−3i3i0000−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000
χ1234-44-400-24-2-2-2−4i4i002-2-442-22-22-4222-221-2110000000000-112-2-11-113-3-3300003-3-33-333-3-12-1-12i−2i−4i4i2i−2i2i−2i000000002i−2i00−i−iii2i2i−2i−2i−i−iii−i−iii−3i3i−3i3i0000−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000
χ1244-44-400-24-2-2-2−4i4i002-2-442-22-22-4222-221-2110000000000-112-2-11-11-333-30000-333-33-3-33-12-1-12i−2i−4i4i2i−2i2i−2i000000002i−2i00−i−iii2i2i−2i−2i−i−iii−i−iii3i−3i3i−3i00003i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000
χ1254-44-400-2-24-244i−4i002-22-2-442-222-42-44-4-2-24-200000000002-22-2-442-2000000000000000022-42−2i2i−2i2i4i−4i−2i2i000000004i−4i00−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ1264-44-400-2-24-24−4i4i002-22-2-442-222-42-44-4-2-24-200000000002-22-2-442-2000000000000000022-422i−2i2i−2i−4i4i2i−2i00000000−4i4i002i2i−2i−2i2i2i−2i−2i−4i−4i4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ1274-44-400-2-24-2-24i−4i002-22-2-442-222-422-2211-210000000000-11-112-2-113-3-33-333-300003-3-33-1-12-1−2i2i−2i2i4i−4i−2i2i00000000−2i2i00ii−i−iii−i−i−2i−2i2i2iii−i−i3i−3i3i−3i−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000000000000000
χ1284-44-400-2-24-2-24i−4i002-22-2-442-222-422-2211-210000000000-11-112-2-11-333-33-3-330000-333-3-1-12-1−2i2i−2i2i4i−4i−2i2i00000000−2i2i00ii−i−iii−i−i−2i−2i2i2iii−i−i−3i3i−3i3i3i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000000000000000
χ1294-44-400-2-24-2-2−4i4i002-22-2-442-222-422-2211-210000000000-11-112-2-113-3-33-333-300003-3-33-1-12-12i−2i2i−2i−4i4i2i−2i000000002i−2i00−i−iii−i−iii2i2i−2i−2i−i−iii−3i3i−3i3i3i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000000000000000
χ1304-44-400-2-24-2-2−4i4i002-22-2-442-222-422-2211-210000000000-11-112-2-11-333-33-3-330000-333-3-1-12-12i−2i2i−2i−4i4i2i−2i000000002i−2i00−i−iii−i−iii2i2i−2i−2i−i−iii3i−3i3i−3i−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000000000000000
χ1314-44-400-2-2-2444i−4i002-22-22-2-44222-4-44-4-2-2-2400000000002-22-22-2-440000000000000000222-4−2i2i−2i2i−2i2i4i−4i000000004i−4i00−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i000000000000000000000000000000000000000000000000000000
χ1324-44-400-2-2-244−4i4i002-22-22-2-44222-4-44-4-2-2-2400000000002-22-22-2-440000000000000000222-42i−2i2i−2i2i−2i−4i4i00000000−4i4i002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−4i−4i4i4i000000000000000000000000000000000000000000000000000000
χ1334-44-400-2-2-24-24i−4i002-22-22-2-44222-42-22111-20000000000-11-11-112-23-3-333-3-33-333-30000-1-1-12−2i2i−2i2i−2i2i4i−4i00000000−2i2i00ii−i−iii−i−iii−i−i−2i−2i2i2i3i−3i3i−3i3i−3i3i−3i−3i3i−3i3i000000000000000000000000000000000000000000
χ1344-44-400-2-2-24-24i−4i002-22-22-2-44222-42-22111-20000000000-11-11-112-2-333-3-333-33-3-330000-1-1-12−2i2i−2i2i−2i2i4i−4i00000000−2i2i00ii−i−iii−i−iii−i−i−2i−2i2i2i−3i3i−3i3i−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000000000000000
χ1354-44-400-2-2-24-2−4i4i002-22-22-2-44222-42-22111-20000000000-11-11-112-23-3-333-3-33-333-30000-1-1-122i−2i2i−2i2i−2i−4i4i000000002i−2i00−i−iii−i−iii−i−iii2i2i−2i−2i−3i3i−3i3i−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000000000000000
χ1364-44-400-2-2-24-2−4i4i002-22-22-2-44222-42-22111-20000000000-11-11-112-2-333-3-333-33-3-330000-1-1-122i−2i2i−2i2i−2i−4i4i000000002i−2i00−i−iii−i−iii−i−iii2i2i−2i−2i3i−3i3i−3i3i−3i3i−3i−3i3i−3i3i000000000000000000000000000000000000000000
χ1374-4-444-44444-20000-4-4-4-4-4-4-4-4444422-2-2-2-2-24-44-44-44-4-2222222222-2-222-2-222-2-222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-444-44-2-2-240000-4-42222224-2-2-2-4-444-2-2-24-4-22-22-224-4-4-422222244-4-4-2-222-2-222-2-2224-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-444-44-2-2-2-20000-4-42222224-2-2-222-2-21114-4-22-22-22-2222-1-1-1-1-1-1-2-22211-1-111-1-111-1-1-21110000000000000000000000003-3-333-3-333-3-3300003-3-333-3-333-3-3300000000000000000000000000000000000000
χ1404-4-444-44-2-2-2-20000-4-42222224-2-2-222-2-21114-4-22-22-22-2222-1-1-1-1-1-1-2-22211-1-111-1-111-1-1-2111000000000000000000000000-333-3-333-3-333-30000-333-3-333-3-333-300000000000000000000000000000000000000
χ1414-4-444-4-24-2-24000022-4-42222-24-2-2-4-44-24-2-2-224-4-22-224-422-4-42222-2-22244-4-4-2-222-2-222-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-444-4-24-2-2-2000022-4-42222-24-2-222-21-211-224-4-22-22-22-1-122-1-1-1-111-1-1-2-22211-1-111-1-11-211000000000000000000003-3-3300003-3-33-333-33-3-3300003-3-33-333-300000000000000000000000000000000000000
χ1434-4-444-4-24-2-2-2000022-4-42222-24-2-222-21-211-224-4-22-22-22-1-122-1-1-1-111-1-1-2-22211-1-111-1-11-21100000000000000000000-333-30000-333-33-3-33-333-30000-333-33-3-3300000000000000000000000000000000000000
χ1444-4-444-4-2-24-2400002222-4-422-2-24-2-4-44-2-24-2-22-224-4-224-42222-4-422-2-222-2-22244-4-4-2-222-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1454-4-444-4-2-24-2-200002222-4-422-2-24-222-211-21-22-224-4-22-22-1-1-1-122-1-111-1-111-1-1-2-22211-1-111-21000000000000000000003-3-33-333-300003-3-333-3-33-333-300003-3-3300000000000000000000000000000000000000
χ1464-4-444-4-2-24-2-200002222-4-422-2-24-222-211-21-22-224-4-22-22-1-1-1-122-1-111-1-111-1-1-2-22211-1-111-2100000000000000000000-333-33-3-330000-333-3-333-33-3-330000-333-300000000000000000000000000000000000000
χ1474-4-444-4-2-2-2440000222222-4-4-2-2-24-4-44-2-2-24-22-22-224-44-4222222-4-4-2-222-2-222-2-22244-4-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1484-4-444-4-2-2-24-20000222222-4-4-2-2-2422-2111-2-22-22-224-4-22-1-1-1-1-1-12211-1-111-1-111-1-1-2-222111-2000000000000000000003-3-333-3-33-333-300003-3-333-3-33-333-3000000000000000000000000000000000000000000
χ1494-4-444-4-2-2-24-20000222222-4-4-2-2-2422-2111-2-22-22-224-4-22-1-1-1-1-1-12211-1-111-1-111-1-1-2-222111-200000000000000000000-333-3-333-33-3-330000-333-3-333-33-3-33000000000000000000000000000000000000000000
χ1504-4-44-444444-20000-4-4-4-4-4-4-4-4444422-2-2-2-2-2-44-44-44-442-22222222222-2-222-2-222-2-222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1514-4-44-444-2-2-240000-4-42222224-2-2-2-4-444-2-2-2-442-22-22-2-44-4-4222222-4-44422-2-222-2-222-2-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1524-4-44-444-2-2-2-20000-4-42222224-2-2-222-2-2111-442-22-22-22-222-1-1-1-1-1-122-2-2-1-111-1-111-1-111-21110000000000000000000000003-3-333-3-333-3-330000-333-3-333-3-333-300000000000000000000000000000000000000
χ1534-4-44-444-2-2-2-20000-4-42222224-2-2-222-2-2111-442-22-22-22-222-1-1-1-1-1-122-2-2-1-111-1-111-1-111-2111000000000000000000000000-333-3-333-3-333-300003-3-333-3-333-3-3300000000000000000000000000000000000000
χ1544-4-44-44-24-2-24000022-4-42222-24-2-2-4-44-24-2-22-2-442-22-2-4422-4-4222222-2-2-4-44422-2-222-2-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1554-4-44-44-24-2-2-2000022-4-42222-24-2-222-21-2112-2-442-22-22-2-1-122-1-1-1-1-1-11122-2-2-1-111-1-1111-211000000000000000000003-3-3300003-3-33-333-3-333-30000-333-33-3-3300000000000000000000000000000000000000
χ1564-4-44-44-24-2-2-2000022-4-42222-24-2-222-21-2112-2-442-22-22-2-1-122-1-1-1-1-1-11122-2-2-1-111-1-1111-21100000000000000000000-333-30000-333-33-3-333-3-3300003-3-33-333-300000000000000000000000000000000000000
χ1574-4-44-44-2-24-2400002222-4-422-2-24-2-4-44-2-24-22-22-2-442-2-442222-4-42222-2-222-2-2-4-44422-2-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1584-4-44-44-2-24-2-200002222-4-422-2-24-222-211-212-22-2-442-22-2-1-1-1-122-1-1-1-111-1-11122-2-2-1-11111-21000000000000000000003-3-33-333-300003-3-33-333-33-3-330000-333-300000000000000000000000000000000000000
χ1594-4-44-44-2-24-2-200002222-4-422-2-24-222-211-212-22-2-442-22-2-1-1-1-122-1-1-1-111-1-11122-2-2-1-11111-2100000000000000000000-333-33-3-330000-333-33-3-33-333-300003-3-3300000000000000000000000000000000000000
χ1604-4-44-44-2-2-2440000222222-4-4-2-2-24-4-44-2-2-242-22-22-2-44-44222222-4-422-2-222-2-222-2-2-4-444-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1614-4-44-44-2-2-24-20000222222-4-4-2-2-2422-2111-22-22-22-2-442-2-1-1-1-1-1-122-1-111-1-111-1-11122-2-2111-2000000000000000000003-3-333-3-33-333-30000-333-3-333-33-3-33000000000000000000000000000000000000000000
χ1624-4-44-44-2-2-24-20000222222-4-4-2-2-2422-2111-22-22-22-2-442-2-1-1-1-1-1-122-1-111-1-111-1-11122-2-2111-200000000000000000000-333-3-333-33-3-3300003-3-333-3-33-333-3000000000000000000000000000000000000000000

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