Finite Group Databasebeta

← Group #13170466

Character table — Group #13170466

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212444412121212366612121212121212121244441212121212121212121212121212121212121212121244121212121212121212121212244441212121212126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-1-1-11111111111111111111111-1-1-1111-1-111-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-111-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-1-11-1-1-1-1-1-111-111
χ51111111111111111111111111111111111111-1-111111111111111111111-1111111-1-111-1-1-1-11111111111-1-1111-1-1-111-1-1111-1-1-11-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-1-11-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-11-1-1-11111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111-11-1-1-1-1-111111-11-1-1-1-111-1-11-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-111-11-1-1-1-11111-1-1-1-1-111-1-11111-11-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-111-1-1-1-11111-1-11-11-1-1-1-1-11111-111-1111-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-1-11111-1-111-11-111-1-1111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11111-1-1-1-11111-11-111-1-1111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1-111-1111-1-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-11111-1-1-1-111-1-1-111-1-11111-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1111111-11-111111-1-1-1-11-11-1-1-1-111-1-11-11-11
χ17222222-122-1-12-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-1202222-1-100-1-1000022-1-1-1-1-1-1-1-100-1-12000-1-100-1-120002000000-1-1000
χ18222222-122-1-12-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-1-202-2-2-2-1-100-1-1000022-1-1-1-1-1-1-1-10011-2000110011-2000-200000011000
χ19222222-122-1-12-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-120-22221100110000-2-21111111100-1-12000-1-100-1-1-2000-200000011000
χ20222222-122-1-12-12222-1-122-1-12-1-1-12-1-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-2-2-2-21100110000-2-2111111110011-200011001120002000000-1-1000
χ21222222-122-1-12-12222-1-1-22-1-12-1-1-12-111-2-2111100222222-1-1-1-1-2-2-211111120-2-2-2-2-1-100110000-2-2-1-1-1-1111100-1120001100-1-12000-2000000-11000
χ22222222-122-1-12-12222-1-1-22-1-12-1-1-12-111-2-2111100222222-1-1-1-1-2-2-2111111-20-2222-1-100110000-2-2-1-1-1-11111001-1-2000-1-10011-200020000001-1000
χ23222222-122-1-12-12222-1-1-22-1-12-1-1-12-111-2-2111100-2-2-2-2-2-2-1-1-1-1-2-2-2111111202-2-2-21100-1-10000221111-1-1-1-100-1120001100-1-1-200020000001-1000
χ24222222-122-1-12-12222-1-1-22-1-12-1-1-12-111-2-2111100-2-2-2-2-2-2-1-1-1-1-2-2-2111111-2022221100-1-10000221111-1-1-1-1001-1-2000-1-100112000-2000000-11000
χ2522222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1022000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1220002-1-100-1-10002000-1-1-1-10000000
χ2622222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-122-2-21111-1-1-1-12-1-122-1-1-1-102-2000-2-222-2-2-1-1-1-11111111111-2-20002-1-100-1-1000-200011110000000
χ2722222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-10-2200022-2-2221111-1-1-1-1-1-1-1-1-1-1-2-2000-2110011000-200011110000000
χ2822222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-2-2000-2-2-2-2-2-21111111111111122000-21100110002000-1-1-1-10000000
χ2922222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-21111112222-1-1-1-1-1-1-1-1-211-2-211110-2-20002222-2-2-1-11111-1-1-1-1111122000-21100-1-1000-200011-1-10000000
χ3022222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-211111122-2-21111-1-1-1-1-211-2-211110-22000-2-22222-1-111-1-11111-1-1-1-1-2-2000-21100-1-10002000-1-1110000000
χ3122222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-2111111-2-222-1-1-1-1-1-1-1-1-211-2-2111102-200022-2-2-2-211-1-111-1-1-1-11111-2-20002-1-100110002000-1-1110000000
χ3222222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-2111111-2-2-2-21111-1-1-1-1-211-2-21111022000-2-2-2-22211-1-1-1-11111-1-1-1-1220002-1-10011000-200011-1-10000000
χ332222-122-1222-1222-1-1-122-1-12-1-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-12202-1-100-1-100222200000000000022-1-1-1-1-1-1-1-1-1-1002200000-1-100-100
χ342222-122-1222-1222-1-1-122-1-12-1-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-220-21100-1-1002222000000000000-2-21-1-1-111-1-11100-2-2000001100100
χ352222-122-1222-1222-1-1-122-1-12-1-122-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-12-202-1-1001100-2-2-2-200000000000022-1111-1-111-1-100-2-2000001100100
χ362222-122-1222-1222-1-1-122-1-12-1-122-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-211001100-2-2-2-2000000000000-2-21111111111002200000-1-100-100
χ372222-122-1222-1222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-222000000-1-1-1-11111111112-20-21100-1-10022-2-20000000000002-2-111111-1-1-1-1002-2000001100-100
χ382222-122-1222-1222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-222000000-1-1-1-1111111111-2-202-1-100-1-10022-2-2000000000000-221111-1-1-1-11100-2200000-1-100100
χ392222-122-1222-1222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111220-211001100-2-2220000000000002-2-1-1-1-11111-1-100-2200000-1-100100
χ402222-122-1222-1222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111-2202-1-1001100-2-222000000000000-221-1-1-1-1-11111002-2000001100-100
χ412-22-2222-2-2-2-2-22-2222220-22-22-22-2-2-2000000002i−2i2i−2i2i2i−2i−2i22-2-20000000000000002i−2i2i−2i002i−2i00002i2i−2i−2i00002-2000000002i−2i0000000002-20000000
χ422-22-2222-2-2-2-2-22-2222220-22-22-22-2-2-2000000002i−2i−2i2i−2i−2i2i2i22-2-2000000000000000−2i2i2i−2i002i−2i0000−2i−2i2i2i0000-22000000002i−2i000000000-220000000
χ432-22-2222-2-2-2-2-22-2222220-22-22-22-2-2-200000000−2i2i2i−2i2i2i−2i−2i22-2-20000000000000002i−2i−2i2i00−2i2i00002i2i−2i−2i0000-2200000000−2i2i000000000-220000000
χ442-22-2222-2-2-2-2-22-2222220-22-22-22-2-2-200000000−2i2i−2i2i−2i−2i2i2i22-2-2000000000000000−2i2i−2i2i00−2i2i0000−2i−2i2i2i00002-200000000−2i2i0000000002-20000000
χ452-22-22-12-21-2-2-221-12-12-10121-1-2-111-2003−333−3−32i−2i2i−2i−i−iii-1-11103−30033−3−30000002i−2i2i−2i00−ii−i3i3−i3i3−i−iii−i3−i3i3i32-20000−i3i300−ii00000003−3-110000000
χ462-22-22-12-21-2-2-221-12-12-10121-1-2-111-2003−333−3−32i−2i−2i2iii−i−i-1-11103−30033−3−3000000−2i2i2i−2i00−ii−i3i3i3−i3ii−i−ii3i3−i3−i3-220000−i3i300−ii0000000−331-10000000
χ472-22-22-12-21-2-2-221-12-12-10121-1-2-111-2003−333−3−3−2i2i2i−2i−i−iii-1-11103−30033−3−30000002i−2i−2i2i00i−ii3−i3−i3i3−i−iii−i3−i3i3i3-220000i3−i300i−i0000000−331-10000000
χ482-22-22-12-21-2-2-221-12-12-10121-1-2-111-2003−333−3−3−2i2i−2i2iii−i−i-1-11103−30033−3−3000000−2i2i−2i2i00i−ii3−i3i3−i3ii−i−ii3i3−i3−i32-20000i3−i300i−i00000003−3-110000000
χ492-22-22-12-21-2-2-221-12-12-10121-1-2-111-200−33−3−3332i−2i2i−2i−i−iii-1-1110−3300−3−3330000002i−2i2i−2i00−iii3−i3i3−i3−i−iiii3i3−i3−i32-20000i3−i300−ii0000000−33-110000000
χ502-22-22-12-21-2-2-221-12-12-10121-1-2-111-200−33−3−3332i−2i−2i2iii−i−i-1-1110−3300−3−333000000−2i2i2i−2i00−iii3−i3−i3i3ii−i−i−i3−i3i3i3-220000i3−i300−ii00000003−31-10000000
χ512-22-22-12-21-2-2-221-12-12-10121-1-2-111-200−33−3−333−2i2i2i−2i−i−iii-1-1110−3300−3−3330000002i−2i−2i2i00i−i−i3i3i3−i3−i−iiii3i3−i3−i3-220000−i3i300i−i00000003−31-10000000
χ522-22-22-12-21-2-2-221-12-12-10121-1-2-111-200−33−3−333−2i2i−2i2iii−i−i-1-1110−3300−3−333000000−2i2i−2i2i00i−i−i3i3−i3i3ii−i−i−i3−i3i3i32-20000−i3i300i−i0000000−33-110000000
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χ5444444-2-24-2-2-24-2-2-24-2-214-2-21-2-211-2-2-2-2-2-2111100-4-4222211114-2-2-2-2111100-4000220022000022-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5544444-2-24-2-2-24-2-2-24-2-21-4-2-21-2-211-2-22222-1-1-1-10044-2-2-2-21111-42222-1-1-1-100-4000-2-200220000221111-1-1-1-1000000000000000000000000000000
χ5644444-2-24-2-2-24-2-2-24-2-21-4-2-21-2-211-2-22222-1-1-1-100-4-422221111-42222-1-1-1-10040002200-2-20000-2-2-1-1-1-11111000000000000000000000000000000
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χ584444-24-2-24-2-2-2-244-2-21-24-21-2-21-2-2-21-2-244-2-2-2-2000000001111-2-2-2111111-400-4220000000000000000000000222000-1-100-1-10000000000000000
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χ784-44-44-2-2-4222-4-22-24-2-2102-2-1-221-1220023−23−3−333004i−4i−2i−2i2i2i11-1-1023−2300−3−333000000−2i2i00000000−2i32i3ii−i−ii3i3−i3−i3000000000000000000000000000000
χ794-44-44-2-2-4222-4-22-24-2-2102-2-1-221-1220023−23−3−33300−4i4i2i2i−2i−2i11-1-1023−2300−3−3330000002i−2i000000002i3−2i3−i−iii−i3−i3i3i3000000000000000000000000000000
χ804-44-44-2-2-4222-4-22-24-2-2102-2-1-221-12200−232333−3−3004i−4i−2i−2i2i2i11-1-10−23230033−3−3000000−2i2i000000002i3−2i3ii−i−i−i3−i3i3i3000000000000000000000000000000
χ814-44-44-2-2-4222-4-22-24-2-2102-2-1-221-12200−232333−3−300−4i4i2i2i−2i−2i11-1-10−23230033−3−30000002i−2i00000000−2i32i3−i−iiii3i3−i3−i3000000000000000000000000000000
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χ834-44-4-2442-4-4-424-44-2-2-2402-2-4-224-42200000000−4i4i000000-2-222000000000000000002i−2i00−4i4i00000000000000000000002i−2i000000000000000000
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χ854-44-4-2-2422-4-4242-2-21-2-20-1-2212-22-120023−232323−23−23−4i4i00000011-1-10−3300−3−333000000002i−2i002i−2i2i3−2i30000000000000000−i3i300−ii000000000000000000
χ864-44-4-2-2422-4-4242-2-21-2-20-1-2212-22-1200−2323−23−2323234i−4i00000011-1-103−30033−3−300000000−2i2i00−2i2i2i3−2i30000000000000000−i3i300i−i000000000000000000
χ874-44-4-2-2422-4-4242-2-21-2-20-1-2212-22-1200−2323−23−232323−4i4i00000011-1-103−30033−3−3000000002i−2i002i−2i−2i32i30000000000000000i3−i300−ii000000000000000000
χ884-4-4444444-44-4-4-4-4-444404-4-4-44-44-4-400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2442-2-42-4-4-44-2-20422-4-22-2-4223−230023−23−232300000000-22-2200023−2323−23−232300000000000000000000000000000000000000000000000000000000
χ904-4-4444-2442-2-42-4-4-44-2-20422-4-22-2-42−232300−232323−2300000000-22-22000−2323−232323−2300000000000000000000000000000000000000000000000000000000
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χ924-4-444-244-2-44-4-422-4-24-20-2-42242-22-40000000000002i3−2i3−2i32i3-22-220000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ934-4-444-2-24-22-2-4222-4-2-210-22-12-2-112223−2300−333−30000−2i32i32i3−2i31-11-100023−23−333−3000000000000000000i3−i3−i3i3−3i3i3i−3i000000000000000000000000000000
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χ954-4-444-2-24-22-2-4222-4-2-210-22-12-2-1122−2323003−3−330000−2i32i32i3−2i31-11-1000−23233−3−33000000000000000000i3−i3−i3i33i−3i−3i3i000000000000000000000000000000
χ964-4-444-2-24-22-2-4222-4-2-210-22-12-2-1122−2323003−3−3300002i3−2i3−2i32i31-11-1000−23233−3−33000000000000000000−i3i3i3−i3−3i3i3i−3i000000000000000000000000000000
χ974-4-44-244-24-442-4-4-42-2-240-22-42-2-44220000000000000000-22-220000000000000−2i32i30000000000000000000000000000−2i32i300000000000000000000
χ984-4-44-244-24-442-4-4-42-2-240-22-42-2-44220000000000000000-22-2200000000000002i3−2i300000000000000000000000000002i3−2i300000000000000000000
χ994-4-44-24-2-242-222-4-42-21-20-2-12212-22-123−230023−23−2323000000001-11-1000−33−333−30000−2i32i30000000000000000000000000000i3−i3003i−3i0000000000000000
χ1004-4-44-24-2-242-222-4-42-21-20-2-12212-22-123−230023−23−2323000000001-11-1000−33−333−300002i3−2i30000000000000000000000000000−i3i300−3i3i0000000000000000
χ1014-4-44-24-2-242-222-4-42-21-20-2-12212-22-1−232300−232323−23000000001-11-10003−33−3−330000−2i32i30000000000000000000000000000i3−i300−3i3i0000000000000000
χ1024-4-44-24-2-242-222-4-42-21-20-2-12212-22-1−232300−232323−23000000001-11-10003−33−3−3300002i3−2i30000000000000000000000000000−i3i3003i−3i0000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-8-48-44-8-44-448-84-42-404-2-44-244-4200000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-48448-8-4-8-4442-4-40-24-4-24442-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-444-44-44-4442220-2-22-2-2-2-22200006-66-600000000-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-444-44-44-4442220-2-22-2-2-2-2220000-66-6600000000-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-44-8444-4-88-4-42-40424-4-2-444-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-444444-44-4-42220-22-22-22-2-2-20043−43−23−23232300000000-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-444444-44-4-42220-22-22-22-2-2-200−43432323−23−2300000000-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-4-4-884-84442-4-40244-2-44-4-2400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-4-44-44444422202-2-2-22-22-2-243−4300−232323−2300000000-11-11000−23233−3−3300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-4-44-44444422202-2-2-22-22-2-2−43430023−23−232300000000-11-1100023−23−333−300000000000000000000000000000000000000000000000000000000

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