Finite Group Databasebeta

← Group #13168434

Character table — Group #13168434

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666333466666666612124444366612121212121212121212121222446666121212121212121212121212224444446666666666121212121212121212122412121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-11111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1111-1-111-1-11-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-11-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111111-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-111-1-111-11-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1111-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-1111-1-1-111111-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-111-1111-1-111-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1111-1-11-11111-1-1-1-111-1-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-11111-1-11111111-1-1-1111-11111-1-1-1-1-1-11111-1-1-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-11111111111-1-1111111-1111-1-1-11-1-1-1-11111-1-11111-1-1-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-111-11-1-1-1-1111111-1-1-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1111-1-111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-11-1-1-111111-1-11
χ17222222-12-12-122-1222-1-122-1-1-1-12-12-1222200-1-1-1-1-12-1-122-1-1-1-1-1-1220222-1-12200-1-10022000022000000002-1-1-1-1-10-1-1-100-1-10020-1-10000-1000
χ18222222-12-12-122-1222-1-122-1-1-1-12-12-1222200-1-1-1-1-12-1-122-1-1-1-1-1-1-2-202-2-2112200-1-100220000-2-200000000-2111110-1-1-100-1-100-201100001000
χ19222222-12-12-122-1222-1-122-1-1-1-12-12-122-2-200-1-1-1-1-12-1-122-1-1-1-1-1-1220-222-1-1-2-2001100-2-20000-2-2000000002-1-1-1-1-10111001100-201100001000
χ20222222-12-12-122-1222-1-122-1-1-1-12-12-122-2-200-1-1-1-1-12-1-122-1-1-1-1-1-1-2-20-2-2-211-2-2001100-2-200002200000000-211111011100110020-1-10000-1000
χ21222222-12-12-122-1222-1-1-22-1-1-1-12-12-1-2-22200-1-1-1-11-211-2-21111112-20-222112200-1-100-2-20000-2-200000000-2-1-1-11101-1-100110020110000-1000
χ22222222-12-12-122-1222-1-1-22-1-1-1-12-12-1-2-22200-1-1-1-11-211-2-2111111-220-2-2-2-1-12200-1-100-2-2000022000000002111-1-101-1-1001100-20-1-100001000
χ23222222-12-12-122-1222-1-1-22-1-1-1-12-12-1-2-2-2-200-1-1-1-11-211-2-21111112-2022211-2-20011002200002200000000-2-1-1-1110-11100-1-100-20-1-100001000
χ24222222-12-12-122-1222-1-1-22-1-1-1-12-12-1-2-2-2-200-1-1-1-11-211-2-2111111-2202-2-2-1-1-2-2001100220000-2-2000000002111-1-10-11100-1-10020110000-1000
χ2522222-12-1222-1222-1-1-122-1-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100220000-1-1-1-12222-1-1-1-122002200-1-1-1-100000022-1-1-1-1-1-1-1-1000000-1-10000
χ2622222-12-1222-1222-1-1-122-1-1222-1-1-1-1-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-100-220000-1-11122-2-2-1-111-2-200-2-2001111000000-22-1-111-1-111000000110000
χ2722222-12-1222-1222-1-1-122-1-1222-1-1-1-1-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1002-2000011-1-1-2-22211-1-1-2-200-2-20011110000002-211-1-111-1-1000000110000
χ2822222-12-1222-1222-1-1-122-1-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-100-2-200001111-2-2-2-2111122002200-1-1-1-1000000-2-211111111000000-1-10000
χ2922222-12-1222-1222-1-1-12-2-1-1222-1-1-1-1112222-1-1-1-1-2-2-2-21111111100-2-20000-1-111222211-1-1-2-20022001111000000-2-2-1-11111-1-1000000-1-10000
χ3022222-12-1222-1222-1-1-12-2-1-1222-1-1-1-11122-2-2-1-1-1-1-2-2-2-211111111002-20000-1-1-1-122-2-211112200-2-200-1-1-1-10000002-2-1-1-1-11111000000110000
χ3122222-12-1222-1222-1-1-12-2-1-1222-1-1-1-111-2-222-1-1-1-1-2-2-2-21111111100-2200001111-2-222-1-1-1-12200-2-200-1-1-1-1000000-221111-1-1-1-1000000110000
χ3222222-12-1222-1222-1-1-12-2-1-1222-1-1-1-111-2-2-2-2-1-1-1-1-2-2-2-2111111110022000011-1-1-2-2-2-2-1-111-2-200220011110000002211-1-1-1-111000000-1-10000
χ332222-12222-122-12-12-12-12-12-1-1-1-12-12220022-1-1-1-12-1-1-1-1-122-1-1-1-12220-1-122002200-1-10022000000220000-12-1-1-1-1-1000-1-100-1-10200-1-1000-100
χ342222-12222-122-12-12-12-12-12-1-1-1-12-12220022-1-1-1-12-1-1-1-1-122-1-1-1-1-2-22011-2-2002200-1-10022000000-2-200001-21111-1000-1-100-1-10-20011000100
χ352222-12222-122-12-12-12-12-12-1-1-1-12-122200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-122-20-1-12200-2-2001100-2-2000000-2-20000-12-1-1-1-110001100110-20011000100
χ362222-12222-122-12-12-12-12-12-1-1-1-12-122200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-1-2-2-2011-2-200-2-2001100-2-20000002200001-2111110001100110200-1-1000-100
χ372222-12222-122-12-12-12-1-2-12-1-1-1-12-12-2-20022-1-1-1-1-211111-2-211112-2-20-1-1-2-200-2-200-1-1002200000022000012-1-11110001100-1-10-200-1-1000100
χ382222-12222-122-12-12-12-1-2-12-1-1-1-12-12-2-20022-1-1-1-1-211111-2-21111-22-20112200-2-200-1-10022000000-2-20000-1-211-1-110001100-1-1020011000-100
χ392222-12222-122-12-12-12-1-2-12-1-1-1-12-12-2-200-2-2-1-1-1-1-211111-2-211112-220-1-1-2-20022001100-2-2000000-2-2000012-1-111-1000-1-10011020011000-100
χ402222-12222-122-12-12-12-1-2-12-1-1-1-12-12-2-200-2-2-1-1-1-1-211111-2-21111-222011220022001100-2-2000000220000-1-211-1-1-1000-1-100110-200-1-1000100
χ4122-2-2222-2-22-22-22-2-22220-2-22-2-222-2-2002-22i−2i22-2-2000000000000000000002-2002-22i−2i002i−2i00002i−2i000000000000002-200002i−2i0000002i−2i0000
χ4222-2-2222-2-22-22-22-2-22220-2-22-2-222-2-2002-2−2i2i22-2-2000000000000000000002-2002-2−2i2i00−2i2i0000−2i2i000000000000002-20000−2i2i000000−2i2i0000
χ4322-2-2222-2-22-22-22-2-22220-2-22-2-222-2-200-222i−2i22-2-200000000000000000000-2200-222i−2i002i−2i0000−2i2i00000000000000-2200002i−2i000000−2i2i0000
χ4422-2-2222-2-22-22-22-2-22220-2-22-2-222-2-200-22−2i2i22-2-200000000000000000000-2200-22−2i2i00−2i2i00002i−2i00000000000000-220000−2i2i0000002i−2i0000
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χ5022-2-22-121-22-2-1-22-21-1-120112-2-2-1-111−332-2−2i2i-1-1110000−33−33−3−33300000000-11−i3i32-2−2i2i−33i−i0000−2i2i00−i3−i3i3i300000000-11−i3i3−33i−i000000i−i0000
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χ532-2-2222222-2-2-22-2-2-2222022-22-2-2-2-2-20000002-22-2000000000000000000000000000000002-22i−2i002i−2i2-22-20000000000000000002i−2i2i−2i000000
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χ5944444-2-2-2-24-2-24-24-2-21-2-4-21-2-2-2-21-2122440011112-42222-1-1-1-1-1-1000-40000-2-200-2-2002200000000000000000000021100-1-100000000000000
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χ814-44-4444-4-4-44-4-4-4444440-4-4-4-44-4-4440000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
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χ884-44-4-24-2-422-2-422-24-2-21022-1-1122-2-20000001-1-11003-300003-33-30000−2i32i3−2i32i300000000000000000000000000i3−i3i3−i30000000000000000000000
χ894-44-4-24-2-422-2-422-24-2-21022-1-1122-2-20000001-1-11003-300003-33-300002i3−2i32i3−2i300000000000000000000000000−i3i3−i3i30000000000000000000000
χ904-44-4-24-2-422-2-422-24-2-21022-1-1122-2-20000001-1-1100-330000-33-330000−2i32i32i3−2i300000000000000000000000000i3−i3−i3i30000000000000000000000
χ914-44-4-24-2-422-2-422-24-2-21022-1-1122-2-20000001-1-1100-330000-33-3300002i3−2i3−2i32i300000000000000000000000000−i3i3i3−i30000000000000000000000
χ924-4-4444-24-2-42-442-4-44-2-204-22-22-42-42000000-22-2200000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000
χ934-4-4444-24-2-42-442-4-44-2-204-22-22-42-42000000-22-220000000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000
χ944-4-444-24-24-4-424-4-42-2-240-2-2-44-42222000000-22-22000000000000000000000000000000004-4000000-22-220000000000000000000000000000
χ954-4-444-24-24-4-424-4-42-2-240-2-2-44-42222000000-22-2200000000000000000000000000000000-440000002-22-20000000000000000000000000000
χ964-4-44-244442-4-4-2-42-4-24-20-242-222-42-4000000-22-22000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i000000
χ974-4-44-244442-4-4-2-42-4-24-20-242-222-42-4000000-22-2200000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-4-84-4484-44-8-4-420442-2-2-4-44400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-444-44-44-4442220-2-22-2-222-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-444-44-44-4442220-2-22-2-222-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-444-8-44-848-4-42-404-244-44-2-420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-484-84844-8-4-42-4-40-2444-4-242-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4444-4444-4-42220-2-2-2-22-2-222000000-111-1006-60000-33-33000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-4444-4-42220-2-2-2-22-2-222000000-111-100-6600003-33-3000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-4-4-84484-84-42-40-424-444-24-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-48-444-8-444-8-4-420-4-4-22-244440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-484-84-4-8442-4-402-44-44-24-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-4-4444-4444222022-22-2-2-2-2-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-4-4444-4444222022-22-2-2-2-2-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000

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