Finite Group Databasebeta

← Group #13168665

Character table — Group #13168665

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212441212121236661212121212121212224441212121212121212121212121212121212124444446666666612121212121244412121212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1
χ31111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-111-1-11-1-111-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-1111-11-1-111-1-111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111-111-1-1-111-1-11111-1-1-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-11-1-111-11-111-1-1-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-11111-1-111-1-1-1-1111111-1-11111-1-111-1-11-111-1-1-11-111-1-1-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-11-1-111-111-1-11111-1-111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111-111-1-11-11-1-111-1-111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-11-1-1111-1-111-1-111-1-1-1-11-11
χ17222222-1222222-1-1-1222-1-1-1-1-1-12-122-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1222200000222200000000002200002-12-1-1-1-1-1-1-1-1-1-1-1002-1-1-1-1000000000
χ18222222-1222222-1-1-1222-1-1-1-1-1-12-122-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-122-2-200000-2-2-2-20000000000-2-200002-12-1-1-1-1-111111100-21111000000000
χ19222222-1222222-1-1-1222-1-1-1-1-1-12-122-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000022220000000000-2-20000-21-211111-1-1-1-1-1-100-21111000000000
χ20222222-1222222-1-1-1222-1-1-1-1-1-12-122-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-2-2-2-20000000000220000-21-211111111111002-1-1-1-1000000000
χ21222222-1-2-22222-1-1-1222-1-1-1-1-1-12-122-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111112-22-20000022-2-200000000002200002-1-21-1-111-11-1-11100-2-1-111000000000
χ22222222-1-2-22222-1-1-1222-1-1-1-1-1-12-122-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111112-2-2200000-2-2220000000000-2-200002-1-21-1-1111-111-1-100211-1-1000000000
χ23222222-1-2-22222-1-1-1222-1-1-1-1-1-12-122-1-2-211-2-2-2-2-2-2000000-1-1-1-111111111-222-20000022-2-20000000000-2-20000-212-111-1-1-11-1-11100211-1-1000000000
χ24222222-1-2-22222-1-1-1222-1-1-1-1-1-12-122-1-2-211-2-2-2-2-2-2000000-1-1-1-111111111-22-2200000-2-2220000000000220000-212-111-1-11-111-1-100-2-1-111000000000
χ2522222-12222-1-12222-12-12-122-1-1-1-1-1-122222-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-122002-1-1-1-1000022-1-1-1-1-1-1-1-1000000-12-12-1-1-1-10000002200000000000-1-10
χ2622222-12222-1-12222-12-12-122-1-1-1-1-1-122222-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-2-2002-1-1-1-1000022-1-1-1-1-1-1-1-10000001-21-21111000000-2-200000000000110
χ2722222-12222-1-12222-12-12-122-1-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-12200-211110000-2-211111111000000-12-12-1-1-1-1000000-2-200000000000110
χ2822222-12222-1-12222-12-12-122-1-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-200-211110000-2-2111111110000001-21-211110000002200000000000-1-10
χ2922222-12-2-22-1-12222-12-12-122-1-1-1-1-1-12-2-2-2-2111111222222-1-1-1-111-2-211112-200-2-1-1110000-2-2-1-1-1-11111000000-121-2-1-1110000002-200000000000-110
χ3022222-12-2-22-1-12222-12-12-122-1-1-1-1-1-12-2-2-2-2111111222222-1-1-1-111-2-21111-2200-2-1-1110000-2-2-1-1-1-111110000001-2-1211-1-1000000-22000000000001-10
χ3122222-12-2-22-1-12222-12-12-122-1-1-1-1-1-12-2-2-2-2111111-2-2-2-2-2-2-1-1-1-111-2-211112-200211-1-10000221111-1-1-1-1000000-121-2-1-111000000-22000000000001-10
χ3222222-12-2-22-1-12222-12-12-122-1-1-1-1-1-12-2-2-2-2111111-2-2-2-2-2-2-1-1-1-111-2-21111-2200211-1-10000221111-1-1-1-10000001-2-1211-1-10000002-200000000000-110
χ332222-12222-122-12222-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000022-1-1-1-10000000-1-1-1-100000
χ342222-12222-122-12222-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2222221111-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-211110000000111100000
χ352222-12222-122-12222-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-1-2-21111-1-1-1-122-1-1-1-1-1-10022-2-2-2-2-2-1-1-1-1111111111100-2-2-2-20000000022-1-1-1-10000000111100000
χ362222-12222-122-12222-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-1-2-21111-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2-21111111111111100222200000000-2-211110000000-1-1-1-100000
χ372222-122-2-2-122-12222-1-1-12-1-122-12-1-1-111-2-2-2-2111122-1-1-1-1-1-1-1-1-2-2111111002-2-222-2-2-1-11111-1-1-1-111110022-2-2000000002-2-1-1110000000-1-11100000
χ382222-122-2-2-122-12222-1-1-12-1-122-12-1-1-111-2-2-2-2111122-1-1-1-1-1-1-1-1-2-211111100-22-222-2-211-1-111-1-1-1-1111100-2-22200000000-2211-1-1000000011-1-100000
χ392222-122-2-2-122-12222-1-1-12-1-122-12-1-1-111-2-2-2-21111-2-21111-1-1-1-1-2-2111111002-22-2-222-1-111-1-11111-1-1-1-100-2-222000000002-2-1-111000000011-1-100000
χ402222-122-2-2-122-12222-1-1-12-1-122-12-1-1-111-2-2-2-21111-2-21111-1-1-1-1-2-211111100-222-2-22211-1-1-1-11111-1-1-1-10022-2-200000000-2211-1-10000000-1-11100000
χ4122-2-22222-2-2-2-222-2-22-2222-2-2-2-222-2-222-22-22-222-2-20000002-2-222-22-222-2-200000000000000000000000002i−2i2i−2i0000000000000000000002i−2i2i−2i00000
χ4222-2-22222-2-2-2-222-2-22-2222-2-2-2-222-2-222-22-22-222-2-20000002-2-222-22-222-2-20000000000000000000000000−2i2i−2i2i000000000000000000000−2i2i−2i2i00000
χ4322-2-2222-22-2-2-222-2-22-2222-2-2-2-222-2-22-22-22-22-2-2220000002-2-22-22-22-2-22200000000000000000000000002i−2i−2i2i0000000000000000000002i−2i−2i2i00000
χ4422-2-2222-22-2-2-222-2-22-2222-2-2-2-222-2-22-22-22-22-2-2220000002-2-22-22-22-2-2220000000000000000000000000−2i2i2i−2i000000000000000000000−2i2i2i−2i00000
χ4522-2-2-1222-21-2-2-12-2-221-1-1211-2-2-1211-1-112-22-2-1-1110033−3−3-111-12-2-11-1-111000000000−i3i3−i3i33−333−3−333−3−3002i−2i2i−2i0000000000−i3i3−i3i30000000−ii−ii00000
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χ4722-2-2-1222-21-2-2-12-2-221-1-1211-2-2-1211-1-112-22-2-1-11100−3−333-111-12-2-11-1-111000000000−i3i3−i3i3−33−3−333−3−33300−2i2i−2i2i0000000000−i3i3−i3i30000000i−ii−i00000
χ4822-2-2-1222-21-2-2-12-2-221-1-1211-2-2-1211-1-112-22-2-1-11100−3−333-111-12-2-11-1-111000000000i3−i3i3−i3−33−3−333−3−333002i−2i2i−2i0000000000i3−i3i3−i30000000−ii−ii00000
χ4922-2-2-122-221-2-2-12-2-221-1-1211-2-2-1211-11-1-22-2211-1-10033−3−3-111-1-221-111-1-1000000000−i3i3i3−i3−3333−3−3−3−333002i−2i−2i2i0000000000−i3i3i3−i30000000−iii−i00000
χ5022-2-2-122-221-2-2-12-2-221-1-1211-2-2-1211-11-1-22-2211-1-10033−3−3-111-1-221-111-1-1000000000i3−i3−i3i3−3333−3−3−3−33300−2i2i2i−2i0000000000i3−i3−i3i30000000i−i−ii00000
χ5122-2-2-122-221-2-2-12-2-221-1-1211-2-2-1211-11-1-22-2211-1-100−3−333-111-1-221-111-1-1000000000−i3i3i3−i33−3−3−33333−3−300−2i2i2i−2i0000000000−i3i3i3−i30000000i−i−ii00000
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χ542-2-2222200-22-2-2-22-2-222222-22-2-2-22-2-200000000002i−2i2i−2i2i−2i22-2-200000000000002i−2i000000002i−2i2i−2i0000−2i2i000000000000000000000−2i2i000000-22000
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χ8144-4-4-2-244-4222-24-4-4-221-2-222221-2-1-1-2-224-4-2211-1-1002323−23−231-1-11-22-2211-1-1000000000000023−23−3−333−3−333000000000000000000000000000000000000
χ8244-4-4-2-244-4222-24-4-4-221-2-222221-2-1-1-2-224-4-2211-1-100−23−2323231-1-11-22-2211-1-10000000000000−232333−3−333−3−3000000000000000000000000000000000000
χ8344-4-4-2-24-44222-24-4-4-221-2-222221-2-1-1-22-2-442-2-1-111002323−23−231-1-112-22-2-1-1110000000000000−2323−3−33333−3−3000000000000000000000000000000000000
χ8444-4-4-2-24-44222-24-4-4-221-2-222221-2-1-1-22-2-442-2-1-11100−23−2323231-1-112-22-2-1-111000000000000023−2333−3−3−3−333000000000000000000000000000000000000
χ854-44-4444004-44-4-4-44-4-4444-44-44-4-4-44-400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ864-44-444-2004-44-422-2-4-44-2-22-22-2-42-4420000000000000000-22-220000000000000000000000000000000000000000000000000000000023−23000000000
χ874-44-444-2004-44-422-2-4-44-2-22-22-2-42-4420000000000000000-22-2200000000000000000000000000000000000000000000000000000000−2323000000000
χ884-44-44-240042-2-4-4-442-4-24-2-442-2222-2-40000000000000000-22-2200000000000000023−23000000000023−2323−23000000000000000000000000000000000000
χ894-44-44-240042-2-4-4-442-4-24-2-442-2222-2-40000000000000000-22-22000000000000000−23230000000000−2323−2323000000000000000000000000000000000000
χ904-44-4-24400-2-442-4-44-42-2-242-2-442-42-22000000000000−2i32i32i3−2i3-22-2200000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ914-44-4-24400-2-442-4-44-42-2-242-2-442-42-220000000000002i3−2i3−2i32i3-22-22000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ924-44-4-2-2400-22-22-4-44221-2-22-22-2-12-1120000003i−3i3i−3i00−2i32i32i3−2i31-11-100003i−3i3i−3i000000023−23000000i3−i3−i3i3−33−33000000000000000000000000000000000000
χ934-44-4-2-2400-22-22-4-44221-2-22-22-2-12-1120000003i−3i3i−3i002i3−2i3−2i32i31-11-100003i−3i3i−3i0000000−2323000000−i3i3i3−i33−33−3000000000000000000000000000000000000
χ944-44-4-2-2400-22-22-4-44221-2-22-22-2-12-112000000−3i3i−3i3i00−2i32i32i3−2i31-11-10000−3i3i−3i3i0000000−2323000000i3−i3−i3i33−33−3000000000000000000000000000000000000
χ954-44-4-2-2400-22-22-4-44221-2-22-22-2-12-112000000−3i3i−3i3i002i3−2i3−2i32i31-11-10000−3i3i−3i3i000000023−23000000−i3i3i3−i3−33−33000000000000000000000000000000000000
χ964-4-4444-200-44-4-42-22-444-2-2-22-22-424-420000000000000000-2-22200000000000000000000000000000004i−4i000000000000000000000−2i2i00000000000
χ974-4-4444-200-44-4-42-22-444-2-2-22-22-424-420000000000000000-2-2220000000000000000000000000000000−4i4i0000000000000000000002i−2i00000000000
χ984-4-444-2400-4-22-4-44-424-24-24-4-2222-22-400000000004i−4i4i−4i4i−4i-2-2220000000000000−2i2i00000000−2i2i−2i2i0000000000000000000000000000000000000000
χ994-4-444-2400-4-22-4-44-424-24-24-4-2222-22-40000000000−4i4i−4i4i−4i4i-2-22200000000000002i−2i000000002i−2i2i−2i0000000000000000000000000000000000000000
χ1004-4-44-2440024-42-44-4-4-2-2-24-224-42-4-22200000000004i−4i−2i2i−2i2i-2-22200000000000004i−4i00000000−2i2i−2i2i0000000000000000000000000000000000000000
χ1014-4-44-2440024-42-44-4-4-2-2-24-224-42-4-2220000000000−4i4i2i−2i2i−2i-2-2220000000000000−4i4i000000002i−2i2i−2i0000000000000000000000000000000000000000
χ1024-4-44-2-24002-222-44-42-21-2-2-22-22-121-120000003i−3i−3i3i4i−4i−2i2i−2i2i11-1-100003i−3i−3i3i00000−2i2i00000000i−ii−i3-3-33000000000000000000000000000000000000
χ1034-4-44-2-24002-222-44-42-21-2-2-22-22-121-120000003i−3i−3i3i−4i4i2i−2i2i−2i11-1-100003i−3i−3i3i000002i−2i00000000−ii−ii-333-3000000000000000000000000000000000000
χ1044-4-44-2-24002-222-44-42-21-2-2-22-22-121-12000000−3i3i3i−3i4i−4i−2i2i−2i2i11-1-10000−3i3i3i−3i00000−2i2i00000000i−ii−i-333-3000000000000000000000000000000000000
χ1054-4-44-2-24002-222-44-42-21-2-2-22-22-121-12000000−3i3i3i−3i−4i4i2i−2i2i−2i11-1-10000−3i3i3i−3i000002i−2i00000000−ii−ii3-3-33000000000000000000000000000000000000
χ1068888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-48-8444-4-444-44222-2-2-2-222-2-22-44-44-4422-2-2000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-88444-4-444-44222-2-2-2-222-2-224-44-44-4-2-222000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000
χ1108-88-88-4-40084-4-844-44-8-4-424-4-224-24-4400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-400-4-88444-4-84-42-4-224-4444-4-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-400-44-4444-444222-22-22-2-2-22-20000006i−6i6i−6i000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-400-44-4444-444222-22-22-2-2-22-2000000−6i6i−6i6i000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1148-8-888-4-400-8-44-84-4448-4-42-442-24-2-444000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-40048-844-44-8-4-42-42-2-4444-44-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4004-4444-444-42222-22-2-2-22-2-20000006i−6i−6i6i000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4004-4444-444-42222-22-2-2-22-2-2000000−6i6i6i−6i000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000

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