Finite Group Databasebeta

← Group #13171747

Character table — Group #13171747

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666233366666666666224444366666666666666644444446666121212121212121212121212444412121212661212121212121212121212121212244121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-11-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-11111111-1-1-1-1-11-1-1-111-1-1-1-1-11-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-111111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-1111111111111-1-1-1-11111-1-11-11-1-1-111111111-1-11-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-11-1-1-111-1-111-111
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1111111-1-111-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-111-1-1-1
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-1-1-1111-11-1-11111-1-11-11
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1-111
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11111-1111111-1-111-1-111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-11-111111-1-111-1-111-1-1-1-1-1-1-1-1-1111
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11111111-1-1-1-111-11111-1-11111-11-1
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1111-1-11111-1-11-11-1-11111111-1-1
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1111111-1-111-1-111-1-1-11111-1-1-1-1-1-11
χ17222222-1-1222-12-12222-1-1222-1-1-122-1-1-1220022-12-122-1-1-1-1-1-1-1-1-1-1-1000022022-1-100002222-1-10000220000-1-10-1-12-1-10000-1-1-1-1200-1-1000000-100
χ18222222-1-1222-12-12222-1-1222-1-1-122-1-1-12200-2-2-12-122-1-1-1-1-1-1-1-1-1-1-100002-2022-1-10000-2-2-2-2110000-2-20000-1-10-112-1-100001111-20011000000100
χ19222222-1-1222-12-12222-1-1222-1-1-122-1-1-1-2-20022-12-122-1-1-1-1-1-1-1-1-1-1-10000-220-2-21100002222-1-10000-2-200001101-1-2110000-1-1-1-1-20011000000100
χ20222222-1-1222-12-12222-1-1222-1-1-122-1-1-1-2-200-2-2-12-122-1-1-1-1-1-1-1-1-1-1-10000-2-20-2-2110000-2-2-2-211000022000011011-21100001111200-1-1000000-100
χ21222222-1-1222-12-122-22-1-1-2-22-1-1-122-1-1-1220022-1-21-2-21111-1-1-111110000-2-2022-1-1000022-2-2-1-10000220000-1-1011-2110000-1-111-200-1-1000000100
χ22222222-1-1222-12-122-22-1-1-2-22-1-1-122-1-1-12200-2-2-1-21-2-21111-1-1-111110000-22022-1-10000-2-222110000-2-20000-1-101-1-211000011-1-120011000000-100
χ23222222-1-1222-12-122-22-1-1-2-22-1-1-122-1-1-1-2-20022-1-21-2-21111-1-1-1111100002-20-2-211000022-2-2-1-10000-2-20000110-112-1-10000-1-11120011000000-100
χ24222222-1-1222-12-122-22-1-1-2-22-1-1-122-1-1-1-2-200-2-2-1-21-2-21111-1-1-111110000220-2-2110000-2-222110000220000110-1-12-1-1000011-1-1-200-1-1000000100
χ2522222-122-1222-12-122-12-122-12-1-1-1-122-1222200-1-12-1-122-1-1-1-1-1-1-1-1-10000202-1-1222222000000-1-122000000-1-1-120-1-1-1-1-1-1-1000002000-1-100000-10
χ2622222-122-1222-12-122-12-122-12-1-1-1-122-122-2-200-1-12-1-122-1-1-1-1-1-1-1-1-1000020-2-1-122-2-2-2-200000011-2-2000000-1-1120-1-1-1111100000-2000110000010
χ2722222-122-1222-12-122-12-122-12-1-1-1-122-1-2-22200-1-12-1-122-1-1-1-1-1-1-1-1-10000-20211-2-22222000000-1-1-2-200000011-1-20111-1-1-1-100000-2000110000010
χ2822222-122-1222-12-122-12-122-12-1-1-1-122-1-2-2-2-200-1-12-1-122-1-1-1-1-1-1-1-1-10000-20-211-2-2-2-2-2-20000001122000000111-201111111000002000-1-100000-10
χ2922222-122-1222-12-12-2-12-1-2-2-12-1-1-1-122-1222200-11-211-2-211-1-1-111110000-20-2-1-12222-2-2000000-1-122000000-1-11-20111-1-11100000-2000-1-10000010
χ3022222-122-1222-12-12-2-12-1-2-2-12-1-1-1-122-122-2-200-11-211-2-211-1-1-111110000-202-1-122-2-22200000011-2-2000000-1-1-1-2011111-1-10000020001100000-10
χ3122222-122-1222-12-12-2-12-1-2-2-12-1-1-1-122-1-2-22200-11-211-2-211-1-1-11111000020-211-2-222-2-2000000-1-1-2-200000011120-1-1-1-1-1110000020001100000-10
χ3222222-122-1222-12-12-2-12-1-2-2-12-1-1-1-122-1-2-2-2-200-11-211-2-211-1-1-11111000020211-2-2-2-222000000112200000011-120-1-1-111-1-100000-2000-1-10000010
χ332222-12222-1-12222-12-1-12-1-1-1-122-1-1-1-12002222-122-1-1-1-122-1-1-1-1-1-1-122220220000-1-1-1-1-1-1-1-122220000-1-1-1-100202000-1-1-1-1-1-1-1-10020000-1-100000
χ342222-12222-1-12222-12-1-12-1-1-1-122-1-1-1-120022-2-2-122-1-1-1-122-1-1-1-1-1-1-1-2-2-2-20-220000-1-1-1-11111-2-222000011110020-2000-1-1-1-1111100-200001100000
χ352222-12222-1-12222-12-1-12-1-1-1-122-1-1-1-1200-2-222-122-1-1-1-122-1-1-1-1-1-1-1-2-2-2-202-200001111-1-1-1-122-2-20000111100-2020001111-1-1-1-100-200001100000
χ362222-12222-1-12222-12-1-12-1-1-1-122-1-1-1-1200-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-122220-2-2000011111111-2-2-2-20000-1-1-1-100-20-2000111111110020000-1-100000
χ372222-12222-1-12222-1-2-1-1211-1-122-1-1-1-12002222-1-2-21111-2-2-1-1-1111122220-2-20000-1-111-1-11122220000-1-1-1-100-20-2000-1-111-1-11100-200001100000
χ382222-12222-1-12222-1-2-1-1211-1-122-1-1-1-120022-2-2-1-2-21111-2-2-1-1-11111-2-2-2-202-20000-1-11111-1-1-2-2220000111100-202000-1-11111-1-10020000-1-100000
χ392222-12222-1-12222-1-2-1-1211-1-122-1-1-1-1200-2-222-1-2-21111-2-2-1-1-11111-2-2-2-20-22000011-1-1-1-11122-2-2000011110020-200011-1-1-1-1110020000-1-100000
χ402222-12222-1-12222-1-2-1-1211-1-122-1-1-1-1200-2-2-2-2-1-2-21111-2-2-1-1-111112222022000011-1-111-1-1-2-2-2-20000-1-1-1-10020200011-1-111-1-100-200001100000
χ4122-2-2222-2-22-22-2-22-2022200-2-2-2-22-22-222-200002000000002-2-200002i2i−2i−2i0002-22-200000000000000002i2i−2i−2i2-2000000000000000000000002i−2i000
χ4222-2-2222-2-22-22-2-22-2022200-2-2-2-22-22-222-200002000000002-2-20000−2i−2i2i2i0002-22-20000000000000000−2i−2i2i2i2-200000000000000000000000−2i2i000
χ4322-2-2222-2-22-22-2-22-2022200-2-2-2-22-22-22-2200002000000002-2-200002i2i−2i−2i000-22-2200000000000000002i2i−2i−2i-2200000000000000000000000−2i2i000
χ4422-2-2222-2-22-22-2-22-2022200-2-2-2-22-22-22-2200002000000002-2-20000−2i−2i2i2i000-22-220000000000000000−2i−2i2i2i-22000000000000000000000002i−2i000
χ452-22-2222-22-22-2-22-2-2022200-2-22-2-22-22-2000000200000000-22-200002i−2i2i−2i00000000000000000002i−2i2-22i−2i2i−2i00000000000000000002-22i−2i0000000
χ462-22-2222-22-22-2-22-2-2022200-2-22-2-22-22-2000000200000000-22-200002i−2i2i−2i0000000000000000000−2i2i-222i−2i2i−2i0000000000000000000-22−2i2i0000000
χ472-22-2222-22-22-2-22-2-2022200-2-22-2-22-22-2000000200000000-22-20000−2i2i−2i2i00000000000000000002i−2i-22−2i2i−2i2i0000000000000000000-222i−2i0000000
χ482-22-2222-22-22-2-22-2-2022200-2-22-2-22-22-2000000200000000-22-20000−2i2i−2i2i0000000000000000000−2i2i2-2−2i2i−2i2i00000000000000000002-2−2i2i0000000
χ492-2-222222-2-2-2-22-2-2202220022-22-2-2-2-2-2002i−2i2i−2i200000000-2-2200002-2-2200000002i−2i002i−2i002i−2i2i−2i00002-2-22000000002i−2i002i−2i0000000000000000
χ502-2-222222-2-2-2-22-2-2202220022-22-2-2-2-2-2002i−2i−2i2i200000000-2-220000-222-200000002i−2i00−2i2i00−2i2i2i−2i0000-222-2000000002i−2i00−2i2i0000000000000000
χ512-2-222222-2-2-2-22-2-2202220022-22-2-2-2-2-200−2i2i2i−2i200000000-2-220000-222-20000000−2i2i002i−2i002i−2i−2i2i0000-222-200000000−2i2i002i−2i0000000000000000
χ522-2-222222-2-2-2-22-2-2202220022-22-2-2-2-2-200−2i2i−2i2i200000000-2-2200002-2-220000000−2i2i00−2i2i00−2i2i−2i2i00002-2-2200000000−2i2i00−2i2i0000000000000000
χ532-2-22-1222-211-22-2-2-10-1-12−i3i3-1-1-221111-2002i−2i2i−2i-100−i3i3−i3i30011-1−i3−i3i3i32-2-220000000−ii3−3−ii3−32i−2i2i−2i0000-111-100000000−ii3−3−ii3−30000000−i3i300000
χ542-2-22-1222-211-22-2-2-10-1-12−i3i3-1-1-221111-2002i−2i−2i2i-100−i3i3−i3i30011-1−i3−i3i3i3-222-20000000−ii3−3i−i−33−2i2i2i−2i00001-1-1100000000−ii3−3i−i−330000000i3−i300000
χ552-2-22-1222-211-22-2-2-10-1-12−i3i3-1-1-221111-200−2i2i2i−2i-100−i3i3−i3i30011-1−i3−i3i3i3-222-20000000i−i−33−ii3−32i−2i−2i2i00001-1-1100000000i−i−33−ii3−30000000i3−i300000
χ562-2-22-1222-211-22-2-2-10-1-12−i3i3-1-1-221111-200−2i2i−2i2i-100−i3i3−i3i30011-1−i3−i3i3i32-2-220000000i−i−33i−i−33−2i2i−2i2i0000-111-100000000i−i−33i−i−330000000−i3i300000
χ572-2-22-1222-211-22-2-2-10-1-12i3−i3-1-1-221111-2002i−2i2i−2i-100i3−i3i3−i30011-1i3i3−i3−i32-2-220000000−ii−33−ii−332i−2i2i−2i0000-111-100000000−ii−33−ii−330000000i3−i300000
χ582-2-22-1222-211-22-2-2-10-1-12i3−i3-1-1-221111-2002i−2i−2i2i-100i3−i3i3−i30011-1i3i3−i3−i3-222-20000000−ii−33i−i3−3−2i2i2i−2i00001-1-1100000000−ii−33i−i3−30000000−i3i300000
χ592-2-22-1222-211-22-2-2-10-1-12i3−i3-1-1-221111-200−2i2i2i−2i-100i3−i3i3−i30011-1i3i3−i3−i3-222-20000000i−i3−3−ii−332i−2i−2i2i00001-1-1100000000i−i3−3−ii−330000000−i3i300000
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χ6144444-2-2-2-244-2-2-2-244-2-2144-2-211-2-2-2-214400001-2-2-2-2-2-21111111110000400-2-2-2-200000000000000000000110-20-2110000000000000000000000
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χ834-44-444-224-442-4-2-4-404-2-200-42-22-442-22000000-2000000002-22000000000000000000000000000004-400000000000000000000000-22000000000
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χ854-44-44-24-4-2-44-4242-40-24-2002-4-222-2-442000000-2000000002-220000000000000000000000000004i−4i000000000000000000000000000−2i2i0000000
χ864-44-44-24-4-2-44-4242-40-24-2002-4-222-2-442000000-2000000002-22000000000000000000000000000−4i4i0000000000000000000000000002i−2i0000000
χ874-44-4-244-442-2-4-44-420-2-2400224-42-22-2-4000000-2000000002-2200004i−4i4i−4i00000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ884-44-4-244-442-2-4-44-420-2-2400224-42-22-2-4000000-2000000002-220000−4i4i−4i4i000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ894-4-4444-2-2-4-4-4242-4404-2-2004-22-2-4-422200004i−4i-20000000022-200000000000000000004i−4i00−2i2i0000000000000000000000−2i2i0000000000000000
χ904-4-4444-2-2-4-4-4242-4404-2-2004-22-2-4-42220000−4i4i-20000000022-20000000000000000000−4i4i002i−2i00000000000000000000002i−2i0000000000000000
χ914-4-444-2442-4-4-4-2-4240-24-200-242-222-4-42004i−4i00-20000000022-20000000000000004i−4i00000000−2i2i0000000000000000−2i2i00000000000000000000
χ924-4-444-2442-4-4-4-2-4240-24-200-242-222-4-4200−4i4i00-20000000022-2000000000000000−4i4i000000002i−2i00000000000000002i−2i00000000000000000000
χ934-4-44-24-2-2-422242-4-20-21-2−2i32i3-212-222-1-1200004i−4i100−2i32i3i3−i300-1-11i3i3−i3−i3000000000000000−2i2i23−23−2i2i0000000000000000000000i−i−3300000000000000
χ944-4-44-24-2-2-422242-4-20-21-2−2i32i3-212-222-1-120000−4i4i100−2i32i3i3−i300-1-11i3i3−i3−i30000000000000002i−2i−23232i−2i0000000000000000000000−ii3−300000000000000
χ954-4-44-24-2-2-422242-4-20-21-22i3−2i3-212-222-1-1200004i−4i1002i3−2i3−i3i300-1-11−i3−i3i3i3000000000000000−2i2i−2323−2i2i0000000000000000000000i−i3−300000000000000
χ964-4-44-24-2-2-422242-4-20-21-22i3−2i3-212-222-1-120000−4i4i1002i3−2i3−i3i300-1-11−i3−i3i3i30000000000000002i−2i23−232i−2i0000000000000000000000−ii−3300000000000000
χ974-4-44-2-244222-4-2-42-201-2-2−2i32i31-22-2-1-1222004i−4i00100i3−i3−2i32i300-1-11i3i3−i3−i300000000000−2i2i23−23000000−2i2i0000000000000000i−i−33000000000000000000
χ984-4-44-2-244222-4-2-42-201-2-2−2i32i31-22-2-1-122200−4i4i00100i3−i3−2i32i300-1-11i3i3−i3−i3000000000002i−2i−23230000002i−2i0000000000000000−ii3−3000000000000000000
χ994-4-44-2-244222-4-2-42-201-2-22i3−2i31-22-2-1-1222004i−4i00100−i3i32i3−2i300-1-11−i3−i3i3i300000000000−2i2i−2323000000−2i2i0000000000000000i−i3−3000000000000000000
χ1004-4-44-2-244222-4-2-42-201-2-22i3−2i31-22-2-1-122200−4i4i00100−i3i32i3−2i300-1-11−i3−i3i3i3000000000002i−2i23−230000002i−2i0000000000000000−ii−33000000000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222000000-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222000000-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-44-8-44-4-84840-42-4004-244-442-2-40000002000000002-2-200000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48-84-4484-8-4402-4-400-24442-2-44-40000002000000002-2-200000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-444-44-444-44022200-2-2-2-22-22-22000000-10000006-6-111-33-330000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-444-44-444-44022200-2-2-2-22-22-22000000-1000000-66-1113-33-30000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-44-4-8844-44-80-4-4200442-24-44-4-2000000200000000-22-200000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-4484-44-8-4-840-42-4004-2-444-4-224000000200000000-22-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48-8-44-4-8484402-4-400-24-44-224-44000000200000000-22-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-44-444-444022200-2-22-2-22-22-2000000-1000000001-11−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44-44-444-444022200-2-22-2-22-22-2000000-1000000001-113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-4-44-8-84-44480-4-4200-4-4-224444-2000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-44444-444-40222−4i34i322-22-2-2-2-2-2000000-1002i3−2i32i3−2i30011-1−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-44444-444-402224i3−4i322-22-2-2-2-2-2000000-100−2i32i3−2i32i30011-1i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000

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