Finite Group Databasebeta

← Group #13167891

Character table — Group #13167891

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666633346666666661212444444366612121212121212121212121222224441212121212121212121212121212121244446666121212121212121212121212121212124441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111-1-111-1-1111111-1-111-1-1-1-1-1-11-11111-1-11111-1-111-11-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-1-1111-1-11111-1-11111-1-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-11-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111-111111-1-1-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111111-1-111-1-111-1-111-111-1-111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11-1-1-1-1-111-1-111-1-11111-111-1-111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1111111-1-1-1-11-111111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11
χ17222222-1-122-122-1222-1-122-1-12-1-12-1-1-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-122222202222-1-1-1-10000-1-1-1-10000-1-1-1-12200-1-1-1-100-1-1-1-100200-1-1000000000
χ18222222-1-122-122-1222-1-122-1-12-1-12-1-1-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-22-2022-2-2-1-1110000-1-111000011112-200-1-11100-1-11100-20011000000000
χ19222222-1-122-122-1222-1-122-1-12-1-12-1-1-1-1-2-22200-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-220-2-22211-1-1000011-1-100001111-220011-1-10011-1-100-20011000000000
χ20222222-1-122-122-1222-1-122-1-12-1-12-1-1-1-1-2-2-2-200-1-1-1-12222-1-1-1-1-1-1-1-12222-2-20-2-2-2-21111000011110000-1-1-1-1-2-200111100111100200-1-1000000000
χ21222222-1-122-122-1222-1-1-22-1-12-1-12-1-111222200-1-1-1-1-2-2-2-2111111112222-2-202222-1-1-1-1000011110000-1-1-1-1-2-200-1-1-1-100111100-20011000000000
χ22222222-1-122-122-1222-1-1-22-1-12-1-12-1-11122-2-200-1-1-1-1-2-2-2-211111111-2-2-2-2-22022-2-2-1-111000011-1-100001111-2200-1-1110011-1-100200-1-1000000000
χ23222222-1-122-122-1222-1-1-22-1-12-1-12-1-111-2-22200-1-1-1-1-2-2-2-211111111-2-2-2-22-20-2-22211-1-10000-1-111000011112-20011-1-100-1-11100200-1-1000000000
χ24222222-1-122-122-1222-1-1-22-1-12-1-12-1-111-2-2-2-200-1-1-1-1-2-2-2-2111111112222220-2-2-2-211110000-1-1-1-10000-1-1-1-12200111100-1-1-1-100-20011000000000
χ2522222-1222-122-122-1-12-12-12-1-12-1-12-122002222-1-1-1-12-1-1-122-1-1-1-1-1-1000002200-1-1002222-1-10022002200000-12-100-1-1-1-100-1-1-1-10020000-1-1000-10
χ2622222-1222-122-122-1-12-12-12-1-12-1-12-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1000002-200-1-10022-2-211002200-2-200000-1-2100-1-11100-1-11100-200001100010
χ2722222-1222-122-122-1-12-12-12-1-12-1-12-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-100000-22001100-2-222-1-100-2-200-2-20000012-10011-1-10011-1-100-200001100010
χ2822222-1222-122-122-1-12-12-12-1-12-1-12-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100000-2-2001100-2-2-2-21100-2-20022000001-210011110011110020000-1-1000-10
χ2922222-1222-122-122-1-12-1-2-12-1-12-1-12-1-2-2002222-1-1-1-1-2111-2-211111100000-2-200-1-1002222-1-100-2-20022000001-2100-1-1110011-1-100-20000-1-100010
χ3022222-1222-122-122-1-12-1-2-12-1-12-1-12-1-2-20022-2-2-1-1-1-1-2111-2-211111100000-2200-1-10022-2-21100-2-200-2-20000012-100-1-1-1-1001111002000011000-10
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χ3222222-1222-122-122-1-12-1-2-12-1-12-1-12-1-2-200-2-2-2-2-1-1-1-1-2111-2-21111110000022001100-2-2-2-2110022002200000-12-10011-1-100-1-11100-20000-1-100010
χ332222-1222-122-122-12-1-122-1-12-1-12-1-1222220022-1-1-1-1-12-1-1-1-122-1-1-1-10000202-1-1002200-1-122220022000000-10-12-1-100-1-1-1-100-1-102000-1-10000-100
χ342222-1222-122-122-12-1-122-1-12-1-12-1-12222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1000020-2-1-100220011-2-22200-2-2000000-101-2-1-10011-1-100110-2000110000100
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χ362222-1222-122-122-12-1-122-1-12-1-12-1-1222-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-20-21100-2-20011-2-2-2-20022000000101-211001111001102000-1-10000-100
χ372222-1222-122-122-12-1-12-2-1-12-1-12-1-12-2-2220022-1-1-1-11-21111-2-211110000-20-2-1-1002200-1-122-2-20022000000101-2-1-100111100-1-10-2000-1-10000100
χ382222-1222-122-122-12-1-12-2-1-12-1-12-1-12-2-22200-2-2-1-1-1-11-21111-2-211110000-202-1-100220011-2-2-2-200-2-200000010-12-1-100-1-111001102000110000-100
χ392222-1222-122-122-12-1-12-2-1-12-1-12-1-12-2-2-2-20022-1-1-1-11-21111-2-21111000020-21100-2-200-1-1222200-2-2000000-101-2110011-1-100-1-102000110000-100
χ402222-1222-122-122-12-1-12-2-1-12-1-12-1-12-2-2-2-200-2-2-1-1-1-11-21111-2-2111100002021100-2-20011-2-2220022000000-10-121100-1-1-1-100110-2000-1-10000100
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χ4522-2-222-1122-1-2-21-2-22-1-10211-2-1-1-2113−32-22-200-1-11100003−33−333−3−322-2-20002-22-2-11-1100003−33−30000-1-1110000-11-11003−33−3000003−3000000000
χ4622-2-222-1122-1-2-21-2-22-1-10211-2-1-1-2113−32-2-2200-1-11100003−33−333−3−3-2-2220002-2-22-111-100003−3−33000011-1-10000-111-1003−3−3300000−33000000000
χ4722-2-222-1122-1-2-21-2-22-1-10211-2-1-1-2113−3-222-200-1-11100003−33−333−3−3-2-222000-222-21-1-110000−333−3000011-1-100001-1-1100−333−300000−33000000000
χ4822-2-222-1122-1-2-21-2-22-1-10211-2-1-1-2113−3-22-2200-1-11100003−33−333−3−322-2-2000-22-221-11-10000−33−330000-1-11100001-11-100−33−33000003−3000000000
χ4922-2-222-1122-1-2-21-2-22-1-10211-2-1-1-211−332-22-200-1-1110000−33−33−3−33322-2-20002-22-2-11-110000−33−330000-1-1110000-11-1100−33−3300000−33000000000
χ5022-2-222-1122-1-2-21-2-22-1-10211-2-1-1-211−332-2-2200-1-1110000−33−33−3−333-2-2220002-2-22-111-10000−333−3000011-1-10000-111-100−333−3000003−3000000000
χ5122-2-222-1122-1-2-21-2-22-1-10211-2-1-1-211−33-222-200-1-1110000−33−33−3−333-2-222000-222-21-1-1100003−3−33000011-1-100001-1-11003−3−33000003−3000000000
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χ894-44-4-244-42-4-4-2442-4-2-24022-422-4-2-2400000000-222-2000000000000000000000000000000000004i−4i000000000000000000000000000−2i2i0000000
χ904-44-4-244-42-4-4-2442-4-2-24022-422-4-2-2400000000-222-200000000000000000000000000000000000−4i4i0000000000000000000000000002i−2i0000000
χ914-4-4444-2-2-4-42-4-42444-2-20-4-2-2422-42200000000-22-220000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ924-4-4444-2-2-4-42-4-42444-2-20-4-2-2422-42200000000-22-22000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ934-4-444-244-42-4-42-44-2-24-2024-2-2-422-420000004i−4i-22-220000000000000000000000000004i−4i−2i2i00000000000000000000000000−2i2i00000000000000
χ944-4-444-244-42-4-42-44-2-24-2024-2-2-422-42000000−4i4i-22-22000000000000000000000000000−4i4i2i−2i000000000000000000000000002i−2i00000000000000
χ954-4-44-24442-4-42-4-4-24-2-2402-24-22-422-40000004i−4i-22-22000000000000000000000000000−2i2i4i−4i00000000000000000000000000−2i2i00000000000000
χ964-4-44-24442-4-42-4-4-24-2-2402-24-22-422-4000000−4i4i-22-220000000000000000000000000002i−2i−4i4i000000000000000000000000002i−2i00000000000000
χ974-4-44-2-24422-422-4-2-21-2-20-1-2-2122-1220000004i−4i1-11-1003i−3i00003i−3i3i−3i000000000000000−2i2i−2i2i000000000000000000003-30000i−i00000000000000
χ984-4-44-2-24422-422-4-2-21-2-20-1-2-2122-1220000004i−4i1-11-100−3i3i0000−3i3i−3i3i000000000000000−2i2i−2i2i00000000000000000000-330000i−i00000000000000
χ994-4-44-2-24422-422-4-2-21-2-20-1-2-2122-122000000−4i4i1-11-1003i−3i00003i−3i3i−3i0000000000000002i−2i2i−2i00000000000000000000-330000−ii00000000000000
χ1004-4-44-2-24422-422-4-2-21-2-20-1-2-2122-122000000−4i4i1-11-100−3i3i0000−3i3i−3i3i0000000000000002i−2i2i−2i000000000000000000003-30000−ii00000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-48-8-4-4844-8442-4-40244-2-4-4-2440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-44-4-4-44444422202-2-2-222-2-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-44-4-4-44444422202-2-2-222-2-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000
χ1068-88-88-4-44-8448-4-4-84-4-42044-244-2-4-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-48-444-84-48-44-8-42-404-244-24-42-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-48-844-8-4-48442-4-40-244-2442-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-44444-4-4-4442220-2-2-2-2-2-222200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44444-4-4-4442220-2-2-2-2-2-222200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-4-4-844-8448-4-4-4204-42-44-244-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-4-44-844-84-48-42-4042-4-4-244-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-4444444-4-42220-2222-2-2-2-2-200000000-11-11006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-4444444-4-42220-2222-2-2-2-2-200000000-11-1100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000

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