Finite Group Databasebeta

← Group #13168206

Character table — Group #13168206

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666633346666666661212444436661212121212121212121212122244666612121212121212121212121222444444121212126666661212121212121212121224661212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111-1-11111-1-1111111-1-11111-1-111111-111-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-1111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111111-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-111-1111
χ51111111111111111111111111111111-1-1111111111111111111111-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1-11111-1-1-11-1-1-1-111-11-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-11-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111
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
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-11-1-1-111111-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-111111-1-1-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1111111-1-1-1-11111-1-11111111-111-1-11-111-1-111-1-1-1-111-1-111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-111111111-1-1111111-11-1-111-11-1-111-1-111-1-111-1-111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-11-1-1-1-1-1-111-111111-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111111-1-1-111111-1-11
χ17222222-1-1222-1-1222-12-12-12-12-1-12-1-1222200-1-1-1-12-122-1-1-1-1-1-1-1-10222002222-1-1-1-12200002200000000000-100-1-12-1-1-100-1-1-1-120-1-10000-1000
χ18222222-1-1222-1-1222-12-12-12-12-1-12-1-1222200-1-1-1-12-122-1-1-1-1-1-1-1-10-2-2200-2-222-1-111220000-2-20000000000010011-2-1-1-10011-1-1-201100001000
χ19222222-1-1222-1-1222-12-12-12-12-1-12-1-122-2-200-1-1-1-12-122-1-1-1-1-1-1-1-1022-20022-2-211-1-1-2-20000-2-200000000000-100-1-1211100-1-111-201100001000
χ20222222-1-1222-1-1222-12-12-12-12-1-12-1-122-2-200-1-1-1-12-122-1-1-1-1-1-1-1-10-2-2-200-2-2-2-21111-2-20000220000000000010011-211100111120-1-10000-1000
χ21222222-1-1222-1-1222-12-1-2-12-12-1-12-1-1-2-22200-1-1-1-1-21-2-21111111102-2-20022-2-2-1-111220000-2-200000000000-100-1-1-21-1-100111120110000-1000
χ22222222-1-1222-1-1222-12-1-2-12-12-1-12-1-1-2-22200-1-1-1-1-21-2-2111111110-22-200-2-2-2-2-1-1-1-122000022000000000001001121-1-100-1-111-20-1-100001000
χ23222222-1-1222-1-1222-12-1-2-12-12-1-12-1-1-2-2-2-200-1-1-1-1-21-2-21111111102-220022221111-2-200002200000000000-100-1-1-2-1110011-1-1-20-1-100001000
χ24222222-1-1222-1-1222-12-1-2-12-12-1-12-1-1-2-2-2-200-1-1-1-1-21-2-2111111110-22200-2-22211-1-1-2-20000-2-200000000000100112-11100-1-1-1-120110000-1000
χ2522222-122-1-122222-12-1-122-1-1-1-12-1-12220022-1-1-1-1-12-1-1-1-122-1-1-1-1222022-1-10000220022-1-1000000220000-12-1-1-1-1-1000-1-1-1-100020000-1-10-100
χ2622222-122-1-122222-12-1-122-1-1-1-12-1-12220022-1-1-1-1-12-1-1-1-122-1-1-1-12-2-2022110000-2-20022-1-1000000-2-20000-1-2-1-1111000-1-111000-20000110100
χ2722222-122-1-122222-12-1-122-1-1-1-12-1-122200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2220-2-2-1-100002200-2-211000000-2-200001211-1-1-100011-1-1000-20000110100
χ2822222-122-1-122222-12-1-122-1-1-1-12-1-122200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-20-2-2110000-2-200-2-2110000002200001-211111000111100020000-1-10-100
χ2922222-122-1-122222-12-1-1-22-1-1-1-12-1-12-2-20022-1-1-1-11-21111-2-21111-22-20-2-2-1-10000-2-20022-1-10000002200001211-1-11000-1-111000-20000-1-10100
χ3022222-122-1-122222-12-1-1-22-1-1-1-12-1-12-2-20022-1-1-1-11-21111-2-21111-2-220-2-2110000220022-1-1000000-2-200001-21111-1000-1-1-1-100020000110-100
χ3122222-122-1-122222-12-1-1-22-1-1-1-12-1-12-2-200-2-2-1-1-1-11-21111-2-2111122-2022-1-10000-2-200-2-211000000-2-20000-12-1-1-1-11000111100020000110-100
χ3222222-122-1-122222-12-1-1-22-1-1-1-12-1-12-2-200-2-2-1-1-1-11-21111-2-211112-220221100002200-2-211000000220000-1-2-1-111-100011-1-1000-20000-1-10100
χ332222-122222-122-1-12-1-122-1-12-12-1-12-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-12002-1-100-1-12200-1-1-1-12200222200-1-1-1-120-1-10002-1-1-1-100-1-10000-1-1000000
χ342222-122222-122-1-12-1-122-1-12-12-1-12-1-1-122-2-2-1-1-1-122-1-122-1-1-1-1-1-1-20021100-1-12200-1-111-2-200-2-2-2-2001111-20110002-1-11100-1-1000011000000
χ352222-122222-122-1-12-1-122-1-12-12-1-12-1-1-1-2-222-1-1-1-122-1-122-1-1-1-1-1-1200-2-1-10011-2-20011-1-12200-2-2-2-200111120-1-1000-211-1-10011000011000000
χ362222-122222-122-1-12-1-122-1-12-12-1-12-1-1-1-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-200-2110011-2-2001111-2-200222200-1-1-1-1-2011000-2111100110000-1-1000000
χ372222-122222-122-1-12-1-12-2-1-12-12-1-12-1112222-1-1-1-1-2-211-2-2111111-200-21100112200-1-1-1-12200-2-222001111-2011000-2-1-1-1-100110000-1-1000000
χ382222-122222-122-1-12-1-12-2-1-12-12-1-12-11122-2-2-1-1-1-1-2-211-2-2111111200-2-1-100112200-1-111-2-20022-2-200-1-1-1-120-1-1000-2-1-1110011000011000000
χ392222-122222-122-1-12-1-12-2-1-12-12-1-12-111-2-222-1-1-1-1-2-211-2-2111111-20021100-1-1-2-20011-1-1220022-2-200-1-1-1-1-2011000211-1-100-1-1000011000000
χ402222-122222-122-1-12-1-12-2-1-12-12-1-12-111-2-2-2-2-1-1-1-1-2-211-2-21111112002-1-100-1-1-2-2001111-2-200-2-22200111120-1-10002111100-1-10000-1-1000000
χ4122-2-2222-2-22-2-222-2-22220-22-2-2-22-22-2002-22i−2i22-2-200000000000000000000002-2002-22i−2i2i−2i00002i−2i000000000000002-22i−2i000000002i−2i000000
χ4222-2-2222-2-22-2-222-2-22220-22-2-2-22-22-2002-2−2i2i22-2-200000000000000000000002-2002-2−2i2i−2i2i0000−2i2i000000000000002-2−2i2i00000000−2i2i000000
χ4322-2-2222-2-22-2-222-2-22220-22-2-2-22-22-200-222i−2i22-2-20000000000000000000000-2200-222i−2i2i−2i0000−2i2i00000000000000-222i−2i00000000−2i2i000000
χ4422-2-2222-2-22-2-222-2-22220-22-2-2-22-22-200-22−2i2i22-2-20000000000000000000000-2200-22−2i2i−2i2i00002i−2i00000000000000-22−2i2i000000002i−2i000000
χ4522-2-2-122-2-221-22-11-2-1-1201-1-21-2-11213−32-22i−2i-1-111003−3003−333−3−30000−i3i3003−32-200-11−ii2i−2i00002i−2i00−i3−i3i3i300−i3i30000-11−ii003−30000−ii000000
χ4622-2-2-122-2-221-22-11-2-1-1201-1-21-2-11213−32-2−2i2i-1-111003−3003−333−3−30000i3−i3003−32-200-11i−i−2i2i0000−2i2i00i3i3−i3−i300i3−i30000-11i−i003−30000i−i000000
χ4722-2-2-122-2-221-22-11-2-1-1201-1-21-2-11213−3-222i−2i-1-111003−3003−333−3−30000−i3i300−33-22001-1−ii2i−2i0000−2i2i00i3i3−i3−i300−i3i300001-1−ii00−330000i−i000000
χ4822-2-2-122-2-221-22-11-2-1-1201-1-21-2-11213−3-22−2i2i-1-111003−3003−333−3−30000i3−i300−33-22001-1i−i−2i2i00002i−2i00−i3−i3i3i300i3−i300001-1i−i00−330000−ii000000
χ4922-2-2-122-2-221-22-11-2-1-1201-1-21-2-1121−332-22i−2i-1-11100−3300−33−3−3330000i3−i300−332-200-11−ii2i−2i00002i−2i00i3i3−i3−i300i3−i30000-11−ii00−330000−ii000000
χ5022-2-2-122-2-221-22-11-2-1-1201-1-21-2-1121−332-2−2i2i-1-11100−3300−33−3−3330000−i3i300−332-200-11i−i−2i2i0000−2i2i00−i3−i3i3i300−i3i30000-11i−i00−330000i−i000000
χ5122-2-2-122-2-221-22-11-2-1-1201-1-21-2-1121−33-222i−2i-1-11100−3300−33−3−3330000i3−i3003−3-22001-1−ii2i−2i0000−2i2i00−i3−i3i3i300i3−i300001-1−ii003−30000i−i000000
χ5222-2-2-122-2-221-22-11-2-1-1201-1-21-2-1121−33-22−2i2i-1-11100−3300−33−3−3330000−i3i3003−3-22001-1i−i−2i2i00002i−2i00i3i3−i3−i300−i3i300001-1i−i003−30000−ii000000
χ532-22-2222-22-222-2-2-2-22220-2-2-222-2-2-220000002-2-22000000000000000000000000000000002-22i−2i002i−2i2i−2i2i−2i0000000000000000002-2002i−2i0000
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χ552-22-2222-22-222-2-2-2-22220-2-2-222-2-2-220000002-2-2200000000000000000000000000000000-222i−2i00−2i2i2i−2i2i−2i000000000000000000-2200−2i2i0000
χ562-22-2222-22-222-2-2-2-22220-2-2-222-2-2-220000002-2-2200000000000000000000000000000000-22−2i2i002i−2i−2i2i−2i2i000000000000000000-22002i−2i0000
χ5744444-2-2-2-2-24-2-244-2-2-214-2-21-21-2-21-24400001111-2-2-2-211-2-21111044000-2-20000-2-20000000000000000000-20011-2000001100000000000000
χ5844444-2-2-2-2-24-2-244-2-2-214-2-21-21-2-21-24400001111-2-2-2-211-2-211110-4-4000220000220000000000000000000200-1-1200000-1-100000000000000
χ5944444-2-2-2-2-24-2-244-2-2-21-4-2-21-21-2-21-2-4-4000011112222-1-122-1-1-1-104-4000-2-20000220000000000000000000-20011200000-1-100000000000000
χ6044444-2-2-2-2-24-2-244-2-2-21-4-2-21-21-2-21-2-4-4000011112222-1-122-1-1-1-10-44000220000-2-20000000000000000000200-1-1-2000001100000000000000
χ614444-24-2-244-2-2-2-2-241-2-241-2-2-2-21-2-21-2-2440011114-2-2-2-2-211111100040000-2-2-2-200-2-200000000000000000000000-211000011000000000000
χ624444-24-2-244-2-2-2-2-241-2-241-2-2-2-21-2-21-2-2-4-40011114-2-2-2-2-2111111000-4000022220022000000000000000000000002-1-10000-1-1000000000000
χ634444-24-2-244-2-2-2-2-241-2-2-41-2-2-2-21-2-212244001111-422222-1-1-1-1-1-1000-4000022-2-200-2-2000000000000000000000002110000-1-1000000000000
χ644444-24-2-244-2-2-2-2-241-2-2-41-2-2-2-21-2-2122-4-4001111-422222-1-1-1-1-1-100040000-2-222002200000000000000000000000-2-1-1000011000000000000
χ654444-2-244-2-2-244-2-2-2-21-24-21-21-2-21-2-2-2-200441111-2411-2-2-2-211114000-2-20000000000-2-2-2-2000000000000-2011000000110000000000000000
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χ894-4-4444-2-2-4-4-422-444-24-20-2-4-2-422422000000-22-22000000000000000000000000−2323000000000000000000000000000000−232300000000000000
χ904-4-444-24422-4-4-4-44-24-2-2042-222-4-22-4000000-22-22000000000000000000−2i32i30000000000000000000000000000−2i32i30000000000000000000000
χ914-4-444-24422-4-4-4-44-24-2-2042-222-4-22-4000000-22-220000000000000000002i3−2i300000000000000000000000000002i3−2i30000000000000000000000
χ924-4-444-2-2-222-422-44-2-2-210-2212-12-2-120000001-11-100003i−3i003i−3i3i−3i000000−2i32i3000023−230000000000000000000000i3−i3000000−3300000000000000
χ934-4-444-2-2-222-422-44-2-2-210-2212-12-2-120000001-11-100003i−3i003i−3i3i−3i0000002i3−2i30000−23230000000000000000000000−i3i30000003−300000000000000
χ944-4-444-2-2-222-422-44-2-2-210-2212-12-2-120000001-11-10000−3i3i00−3i3i−3i3i000000−2i32i30000−23230000000000000000000000i3−i30000003−300000000000000
χ954-4-444-2-2-222-422-44-2-2-210-2212-12-2-120000001-11-10000−3i3i00−3i3i−3i3i0000002i3−2i3000023−230000000000000000000000−i3i3000000−3300000000000000
χ964-4-44-2444-4-42-4-42-24-2-240-2242-42-2-42000000-22-22000000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ974-4-44-2444-4-42-4-42-24-2-240-2242-42-2-42000000-22-220000000000000000000000000000000000000000−232323−230000000000000000000000000000
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
χ10088-8-88-4-444-4-84-48-84-4-4204-4-24-2-442400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-444-444-4-4442220-22-2-2-22-22-243−430000-1-11100−232300−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-444-444-4-4442220-22-2-2-22-22-2−43430000-1-1110023−230023−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-44-448-44-8-84-4-42044-2-4244-2-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-448-8-4-4444-82-4-40-244-4-4-24420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-48-8-44-48-8444-42-404-242-44-24-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-44-44-4-444442220-2-2-222-2-2-22000000-111-100000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-44-44-4-444442220-2-2-222-2-2-22000000-111-1000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4-4-8-84444-482-4-4024-444-2-44-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-488444-8-84-4-4-42-40-4-2-4-2442440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-4444444-4-422202-22-2-2-22-2-2000000-11-1100006i−6i00−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-4444444-4-422202-22-2-2-22-2-2000000-11-110000−6i6i003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000

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