Finite Group Databasebeta

← Group #13170796

Character table — Group #13170796

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666633346666666661212222244366612121212121212121212121222224446666666612121212121212124444666666661212121212121212121212124441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-1111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11-11111-1-11111-11-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-1-1-1-1-111-1111-1-1111111-1-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-11-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-111-1-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-1-1-111-1-1111-111111-1-1-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-11111-1-111-111-1-111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1111-1-1-111-1-1-1-11111-111-1-111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-111-1-11-111111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-11
χ17222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-1222200-1-1-1-122-1-1-1-122-1-1-1-122222202222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12200-1-1-1-10000200-1-1000000000
χ18222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-122-2-200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-22-2022-2-2-1-111-1-111000000001111-1-1112-200-1-1110000-20011000000000
χ19222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-2-22200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-220-2-22211-1-111-1-100000000111111-1-1-220011-1-10000-20011000000000
χ20222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-2-2-2-200-1-1-1-122-1-1-1-122-1-1-1-12222-2-20-2-2-2-21111111100000000-1-1-1-11111-2-20011110000200-1-1000000000
χ21222222-122-122-1-1222-1-1-22-1-1-1-12-1-1211222200-1-1-1-1-2-21111-2-211112222-2-202222-1-1-1-1111100000000-1-1-1-1-1-1-1-1-2-20011110000-20011000000000
χ22222222-122-122-1-1222-1-1-22-1-1-1-12-1-121122-2-200-1-1-1-1-2-21111-2-21111-2-2-2-2-22022-2-2-1-11111-1-1000000001111-1-111-220011-1-10000200-1-1000000000
χ23222222-122-122-1-1222-1-1-22-1-1-1-12-1-1211-2-22200-1-1-1-1-2-21111-2-21111-2-2-2-22-20-2-22211-1-1-1-11100000000111111-1-12-200-1-1110000200-1-1000000000
χ24222222-122-122-1-1222-1-1-22-1-1-1-12-1-1211-2-2-2-200-1-1-1-1-2-21111-2-211112222220-2-2-2-21111-1-1-1-100000000-1-1-1-111112200-1-1-1-10000-20011000000000
χ2522222-122-122-1222-1-12-12-12-12-1-12-1-122002222-1-1-1-12-122-1-1-1-1-1-1-1-1000002200-1-10022002222-1-10022000000-1-10-12-100-1-1-1-1-1-10020000-1-1000-10
χ2622222-122-122-1222-1-12-12-12-12-1-12-1-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1000002-200-1-100220022-2-21100-2-2000000-1-10-1-2100-1-1111100-200001100010
χ2722222-122-122-1222-1-12-12-12-12-1-12-1-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-100000-22001100-2-200-2-222-1-100-2-200000011012-10011-1-1-1-100-200001100010
χ2822222-122-122-1222-1-12-12-12-12-1-12-1-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-100000-2-2001100-2-200-2-2-2-21100220000001101-21001111110020000-1-1000-10
χ2922222-122-122-1222-1-12-1-2-12-12-1-12-1-1-2-2002222-1-1-1-1-21-2-21111111100000-2-200-1-1002200-2-222-1-10022000000-1-101-21001111-1-100-20000-1-100010
χ3022222-122-122-1222-1-12-1-2-12-12-1-12-1-1-2-20022-2-2-1-1-1-1-21-2-21111111100000-2200-1-1002200-2-2-2-21100-2-2000000-1-1012-10011-1-111002000011000-10
χ3122222-122-122-1222-1-12-1-2-12-12-1-12-1-1-2-200-2-222-1-1-1-1-21-2-211111111000002-2001100-2-2002222-1-100-2-2000000110-1-2100-1-111-1-1002000011000-10
χ3222222-122-122-1222-1-12-1-2-12-12-1-12-1-1-2-200-2-2-2-2-1-1-1-1-21-2-2111111110000022001100-2-20022-2-2110022000000110-12-100-1-1-1-11100-20000-1-100010
χ332222-122-122-1222-12-1-122-1-12-12-1-12-122220022-1-1-1-1-12-1-122-1-1-1-1-1-10000202-1-10022002200-1-12222000000-1-100-10-12-1-100-1-1-1-102000-1-10000-100
χ342222-122-122-1222-12-1-122-1-12-12-1-12-1222200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1000020-2-1-1002200220011-2-2-2-2000000-1-100-101-2-1-10011110-2000110000100
χ352222-122-122-1222-12-1-122-1-12-12-1-12-122-2-20022-1-1-1-1-12-1-122-1-1-1-1-1-10000-2021100-2-200-2-200-1-122-2-2000000110010-121100-1-1-1-10-2000110000100
χ362222-122-122-1222-12-1-122-1-12-12-1-12-122-2-200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10000-20-21100-2-200-2-20011-2-2220000001100101-21100111102000-1-10000-100
χ372222-122-122-1222-12-1-12-2-1-12-12-1-12-1-2-2220022-1-1-1-11-211-2-21111110000-20-2-1-1002200-2-200-1-12222000000-1-100101-2110011-1-10-2000-1-10000100
χ382222-122-122-1222-12-1-12-2-1-12-12-1-12-1-2-22200-2-2-1-1-1-11-211-2-21111110000-202-1-1002200-2-20011-2-2-2-2000000-1-10010-121100-1-11102000110000-100
χ392222-122-122-1222-12-1-12-2-1-12-12-1-12-1-2-2-2-20022-1-1-1-11-211-2-2111111000020-21100-2-2002200-1-122-2-20000001100-101-2-1-10011-1-102000110000-100
χ402222-122-122-1222-12-1-12-2-1-12-12-1-12-1-2-2-2-200-2-2-1-1-1-11-211-2-211111100002021100-2-200220011-2-2220000001100-10-12-1-100-1-1110-2000-1-10000100
χ4122-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-2002-22-20022-2-200000000000022-2-20002-22-22-22-200000000000022-2-22-22-200000000000000000000000000
χ4222-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-2002-2-220022-2-2000000000000-2-2220002-2-222-2-22000000000000-2-2222-2-2200000000000000000000000000
χ4322-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-200-222-20022-2-2000000000000-2-222000-222-2-222-2000000000000-2-222-222-200000000000000000000000000
χ4422-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-200-22-220022-2-200000000000022-2-2000-22-22-22-2200000000000022-2-2-22-2200000000000000000000000000
χ4522-2-222-122-1-2-211-2-22-1-102-1-111-211-23−32-22-200-1-111003−33−30033−3−322-2-20002-22-2-11-113−33−300000000-1-111-11-1100003−33−300000003−3000000000
χ4622-2-222-122-1-2-211-2-22-1-102-1-111-211-23−32-2-2200-1-111003−33−30033−3−3-2-2220002-2-22-111-13−3−330000000011-1-1-111-100003−3−330000000−33000000000
χ4722-2-222-122-1-2-211-2-22-1-102-1-111-211-23−3-222-200-1-111003−33−30033−3−3-2-222000-222-21-1-11−333−30000000011-1-11-1-110000−333−30000000−33000000000
χ4822-2-222-122-1-2-211-2-22-1-102-1-111-211-23−3-22-2200-1-111003−33−30033−3−322-2-2000-22-221-11-1−33−3300000000-1-1111-11-10000−33−3300000003−3000000000
χ4922-2-222-122-1-2-211-2-22-1-102-1-111-211-2−332-22-200-1-11100−33−3300−3−33322-2-20002-22-2-11-11−33−3300000000-1-111-11-110000−33−330000000−33000000000
χ5022-2-222-122-1-2-211-2-22-1-102-1-111-211-2−332-2-2200-1-11100−33−3300−3−333-2-2220002-2-22-111-1−333−30000000011-1-1-111-10000−333−300000003−3000000000
χ5122-2-222-122-1-2-211-2-22-1-102-1-111-211-2−33-222-200-1-11100−33−3300−3−333-2-222000-222-21-1-113−3−330000000011-1-11-1-1100003−3−3300000003−3000000000
χ5222-2-222-122-1-2-211-2-22-1-102-1-111-211-2−33-22-2200-1-11100−33−3300−3−33322-2-2000-22-221-11-13−33−300000000-1-1111-11-100003−33−30000000−33000000000
χ532-22-2222-2-2-2222-2-2-22220-2-2-2-2-2222-20000002i−2i2-22-20000000000002-22-20000000000000002i−2i2i−2i00002-22-2000000000000002i−2i0000000002i−2i000
χ542-22-2222-2-2-2222-2-2-22220-2-2-2-2-2222-20000002i−2i2-22-2000000000000-22-220000000000000002i−2i2i−2i0000-22-22000000000000002i−2i000000000−2i2i000
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χ894-44-4-2442-4-4-244-42-4-2-24022-42-4-2-2420000004i−4i-22-220000000000000000000000000000000−2i2i4i−4i0000000000000000000000−2i2i00000000000000
χ904-44-4-2442-4-4-244-42-4-2-24022-42-4-2-242000000−4i4i-22-2200000000000000000000000000000002i−2i−4i4i00000000000000000000002i−2i00000000000000
χ914-44-4-2-2422-4-2-24-4221-2-20-122221-2-2-10000004i−4i1-11-10000003i−3i3i−3i3i−3i0000000000000000000−2i2i−2i2i000000000000000000003-3i−i00000000000000
χ924-44-4-2-2422-4-2-24-4221-2-20-122221-2-2-10000004i−4i1-11-1000000−3i3i−3i3i−3i3i0000000000000000000−2i2i−2i2i00000000000000000000-33i−i00000000000000
χ934-44-4-2-2422-4-2-24-4221-2-20-122221-2-2-1000000−4i4i1-11-10000003i−3i3i−3i3i−3i00000000000000000002i−2i2i−2i00000000000000000000-33−ii00000000000000
χ944-44-4-2-2422-4-2-24-4221-2-20-122221-2-2-1000000−4i4i1-11-1000000−3i3i−3i3i−3i3i00000000000000000002i−2i2i−2i000000000000000000003-3−ii00000000000000
χ954-4-4444-2-4-42-4-42-2444-2-20-422-2-2-422400000000-222-20000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ964-4-4444-2-4-42-4-42-2444-2-20-422-2-2-422400000000-222-2000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ974-4-444-24-42-4-42-444-2-24-202-424-22-42-200000000-222-200000000000000000000000000000000000004-4000000000000000000000000000-2200000
χ984-4-444-24-42-4-42-444-2-24-202-424-22-42-200000000-222-20000000000000000000000000000000000000-440000000000000000000000000002-200000
χ994-4-44-2442-4-42-4-44-24-2-24022-4-2422-4-200000000-222-2000000000000000000000000000000000004-4000000000000000000000000000-220000000
χ1004-4-44-2442-4-42-4-44-24-2-24022-4-2422-4-200000000-222-200000000000000000000000000000000000-440000000000000000000000000002-20000000
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
χ10388-8-8-4-48-4-4844-8-8442-4-402-4-444-244-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-243−43000000-1-11100−2323−23230033−3−30000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-2−4343000000-1-1110023−2323−2300−3−3330000000000000000000000000000000000000000000000000000000000000
χ1068-88-88-4-4-8448-4-44-84-4-42044-24-2-4-424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-48-44-84-48-444-8-42-404-24-24-42-44000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4444-4-4-44442220-2-2-2-2-2222-200000000-11-110000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4444-4-4-44442220-2-2-2-2-2222-200000000-11-11000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-844-844-48-4-4-42044-2-4244-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-844-84-4-48-42-404-242-44-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-844-88-4-42-4-40-244-4-4-2442000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444444-4-4-42220-2-2-222-2-2-2200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444444-4-4-42220-2-2-222-2-2-2200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000

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