Finite Group Databasebeta

← Group #13168094

Character table — Group #13168094

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order12223336666666663334666666666121222444436661212121212121212121212122446666661212121212121212121222446666666661212121212121212121212244466121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-1111111111111-1-1-1-11111111111111-11-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111-1-11111-111-1-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-1-1-1-1-11-1-1111-1-1-1-1111-11
χ51111111111111111111111111111111-1-1111111111111111111111-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1111-11-1-11111111-1-1111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-111-1-111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-11-11-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11-11-1-111-1-111-11-11-1-111-1-11111-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1111111-1-1111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11-1111111-1-111-1-111-1-1-1-111-11-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-11111111-1-111-1-111-1-1-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11-1-111-11-111-1-111-1-1-11-11-1-111-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111111-1-1-1-1111-11-111111111-1-1-1
χ17222222-12-12-1222-122-1-122-1-12-1-1-1-12-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-122022-1-1-1-1-1-1-1-12200002222-1-1-1-12-1-1-1-1020-1-1-1-10000000000-1-10000000
χ18222222-12-12-1222-122-1-122-1-12-1-1-1-12-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-1-22022-1-111-1-111-2-20000-2-2-2-21111-2-1-111020-1-1110000000000110000000
χ19222222-12-12-1222-122-1-122-1-12-1-1-1-12-1-1-2-22200-1-1-1-12222-1-1-1-1-1-1-1-12-20-2-211-1-111-1-1220000-2-2-2-21111211-1-10-2011-1-10000000000110000000
χ20222222-12-12-1222-122-1-122-1-12-1-1-1-12-1-1-2-2-2-200-1-1-1-12222-1-1-1-1-1-1-1-1-2-20-2-211111111-2-200002222-1-1-1-1-211110-2011110000000000-1-10000000
χ21222222-12-12-1222-122-1-1-22-1-12-1-1-1-1211222200-1-1-1-1-2-2-2-211111111-2-2022-1-11111-1-1220000-2-2221111-2-1-1110-2011-1-10000000000-1-10000000
χ22222222-12-12-1222-122-1-1-22-1-12-1-1-1-121122-2-200-1-1-1-1-2-2-2-2111111112-2022-1-1-1-11111-2-2000022-2-2-1-1-1-12-1-1-1-10-2011110000000000110000000
χ23222222-12-12-1222-122-1-1-22-1-12-1-1-1-1211-2-22200-1-1-1-1-2-2-2-211111111-220-2-21111-1-1-1-122000022-2-2-1-1-1-1-21111020-1-1-1-10000000000110000000
χ24222222-12-12-1222-122-1-1-22-1-12-1-1-1-1211-2-2-2-200-1-1-1-1-2-2-2-211111111220-2-211-1-1-1-111-2-20000-2-2221111211-1-1020-1-1110000000000-1-10000000
χ2522222-1222-12-1-1222-12-12-12-1-12-12-1-122002222-1-1-1-1-12-1-122-1-1-1-1-1-12020000220022-1-1-1-12200000000-100-1-1-10200-1-1-1-1-1-12002-1-1000000-100
χ2622222-1222-12-1-1222-12-12-12-1-12-12-1-1220022-2-2-1-1-1-1-12-1-122-1-1-1-1-1-120-20000220022-1-111-2-200000000-100-1-110-200-1-11111-200-211000000100
χ2722222-1222-12-1-1222-12-12-12-1-12-12-1-12200-2-222-1-1-1-1-12-1-122-1-1-1-1-1-1-2020000-2-200-2-211-1-1220000000010011-1020011-1-1-1-1-200-211000000100
χ2822222-1222-12-1-1222-12-12-12-1-12-12-1-12200-2-2-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-20-20000-2-200-2-21111-2-2000000001001110-2001111112002-1-1000000-100
χ2922222-1222-12-1-1222-12-1-2-12-1-12-12-1-1-2-2002222-1-1-1-11-211-2-2111111-20-20000-2-20022-1-1-1-122000000001001110-200-1-1-1-111200-2-1-1000000100
χ3022222-1222-12-1-1222-12-1-2-12-1-12-12-1-1-2-20022-2-2-1-1-1-11-211-2-2111111-2020000-2-20022-1-111-2-20000000010011-10200-1-111-1-1-200211000000-100
χ3122222-1222-12-1-1222-12-1-2-12-1-12-12-1-1-2-200-2-222-1-1-1-11-211-2-211111120-200002200-2-211-1-12200000000-100-1-110-20011-1-111-200211000000-100
χ3222222-1222-12-1-1222-12-1-2-12-1-12-12-1-1-2-200-2-2-2-2-1-1-1-11-211-2-211111120200002200-2-21111-2-200000000-100-1-1-102001111-1-1200-2-1-1000000100
χ332222-122-122222-12-1-1-122-1-12-1-12-12-122220022-1-1-1-12-1-1-1-1-122-1-1-1-1022-1-1220022000022-1-1000000000-1-1002-1-1-1-100-1-1-1-102200000-1-1000-10
χ342222-122-122222-12-1-1-122-1-12-1-12-12-1222200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-102-2-1-12200220000-2-211000000000-1-100-2-11-1-10011110-2-2000001100010
χ352222-122-122222-12-1-1-122-1-12-1-12-12-122-2-20022-1-1-1-12-1-1-1-1-122-1-1-1-10-2211-2-200-2-2000022-1-1000000000110021-11100-1-1-1-10-2-2000001100010
χ362222-122-122222-12-1-1-122-1-12-1-12-12-122-2-200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-10-2-211-2-200-2-20000-2-2110000000001100-2111100111102200000-1-1000-10
χ372222-122-122222-12-1-1-12-2-1-12-1-12-12-1-2-2220022-1-1-1-1-211111-2-211110-2-2-1-12200-2-2000022-1-1000000000-1-100-2111100-1-1110-2200000-1-100010
χ382222-122-122222-12-1-1-12-2-1-12-1-12-12-1-2-22200-2-2-1-1-1-1-211111-2-211110-22-1-12200-2-20000-2-211000000000-1-10021-1110011-1-102-20000011000-10
χ392222-122-122222-12-1-1-12-2-1-12-1-12-12-1-2-2-2-20022-1-1-1-1-211111-2-2111102-211-2-20022000022-1-10000000001100-2-11-1-100-1-11102-20000011000-10
χ402222-122-122222-12-1-1-12-2-1-12-1-12-12-1-2-2-2-200-2-2-1-1-1-1-211111-2-2111102211-2-200220000-2-21100000000011002-1-1-1-10011-1-10-2200000-1-100010
χ4122-2-2222-2-22-2-2-222-22220-2-2-2222-2-2-20000002i−2i2-2-220000000000000000000000000002i−2i2i−2i2-20022-2-20000000000002i−2i0000000000002i−2i000
χ4222-2-2222-2-22-2-2-222-22220-2-2-2222-2-2-20000002i−2i2-2-220000000000000000000000000002i−2i2i−2i-2200-2-2220000000000002i−2i000000000000−2i2i000
χ4322-2-2222-2-22-2-2-222-22220-2-2-2222-2-2-2000000−2i2i2-2-22000000000000000000000000000−2i2i−2i2i2-20022-2-2000000000000−2i2i000000000000−2i2i000
χ4422-2-2222-2-22-2-2-222-22220-2-2-2222-2-2-2000000−2i2i2-2-22000000000000000000000000000−2i2i−2i2i-2200-2-222000000000000−2i2i0000000000002i−2i000
χ452-2-2222222-2-22-2-2-2-22220222-2-2-2-2-2-2002-22i−2i0022-2-20000000000000002-22-200002i−2i2i−2i0000002i−2i000002-200000002i−2i00000000002i−2i0000000
χ462-2-2222222-2-22-2-2-2-22220222-2-2-2-2-2-2002-2−2i2i0022-2-20000000000000002-22-20000−2i2i−2i2i000000−2i2i000002-20000000−2i2i0000000000−2i2i0000000
χ472-2-2222222-2-22-2-2-2-22220222-2-2-2-2-2-200-222i−2i0022-2-2000000000000000-22-2200002i−2i2i−2i000000−2i2i00000-2200000002i−2i0000000000−2i2i0000000
χ482-2-2222222-2-22-2-2-2-22220222-2-2-2-2-2-200-22−2i2i0022-2-2000000000000000-22-220000−2i2i−2i2i0000002i−2i00000-220000000−2i2i00000000002i−2i0000000
χ492-2-2222-12-1-212-2-21-22-1-102-1-1-21111-23−32-22i−2i00-1-11100003−33−333−3−30002-2-11−i3i33−3−ii2i−2i0000002i−2i−i3i3−i3i30-11−i3i30003−3−ii0000000000−ii0000000
χ502-2-2222-12-1-212-2-21-22-1-102-1-1-21111-23−32-2−2i2i00-1-11100003−33−333−3−30002-2-11i3−i33−3i−i−2i2i000000−2i2ii3−i3i3−i30-11i3−i30003−3i−i0000000000i−i0000000
χ512-2-2222-12-1-212-2-21-22-1-102-1-1-21111-23−3-222i−2i00-1-11100003−33−333−3−3000-221-1−i3i3−33−ii2i−2i000000−2i2ii3−i3i3−i301-1−i3i3000−33−ii0000000000i−i0000000
χ522-2-2222-12-1-212-2-21-22-1-102-1-1-21111-23−3-22−2i2i00-1-11100003−33−333−3−3000-221-1i3−i3−33i−i−2i2i0000002i−2i−i3i3−i3i301-1i3−i3000−33i−i0000000000−ii0000000
χ532-2-2222-12-1-212-2-21-22-1-102-1-1-21111-2−332-22i−2i00-1-1110000−33−33−3−3330002-2-11i3−i3−33−ii2i−2i0000002i−2ii3−i3i3−i30-11i3−i3000−33−ii0000000000−ii0000000
χ542-2-2222-12-1-212-2-21-22-1-102-1-1-21111-2−332-2−2i2i00-1-1110000−33−33−3−3330002-2-11−i3i3−33i−i−2i2i000000−2i2i−i3i3−i3i30-11−i3i3000−33i−i0000000000i−i0000000
χ552-2-2222-12-1-212-2-21-22-1-102-1-1-21111-2−33-222i−2i00-1-1110000−33−33−3−333000-221-1i3−i33−3−ii2i−2i000000−2i2i−i3i3−i3i301-1i3−i30003−3−ii0000000000i−i0000000
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χ5944444-2-24-2-2-2-2-24-24-2-21-4-2-21-2-21-21-22200440011112-42222-1-1-1-1-1-1-40000002200-2-2-2-2000000000000200-1-100000110000000000000000000
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χ634444-24-2-2-24-244-2-2-2-21-2-4-21-2-21-21-2-2224400001111-4222-1-122-1-1-1-10-40-2-2-2-20022000000000000000001100020-1-1000000000000000000000
χ644444-24-2-2-24-244-2-2-2-21-2-4-21-2-21-21-2-222-4-400001111-4222-1-122-1-1-1-1040222200-2-200000000000000000-1-1000-2011000000000000000000000
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χ894-4-444-2-24-222-22-42-4-2-210-2-2122-12-1223−2300−4i4i0011-1-1000023−23−33−3−33300000002i3−2i3002i−2i2i−2i000000000000000−i3i300000−ii0000000000000000000
χ904-4-444-2-24-222-22-42-4-2-210-2-2122-12-12−2323004i−4i0011-1-10000−23233−333−3−300000002i3−2i300−2i2i−2i2i000000000000000−i3i300000i−i0000000000000000000
χ914-4-444-2-24-222-22-42-4-2-210-2-2122-12-12−232300−4i4i0011-1-10000−23233−333−3−30000000−2i32i3002i−2i2i−2i000000000000000i3−i300000−ii0000000000000000000
χ924-4-44-244-24-4-44-42-42-2-240-2-2422-42-42004-40000-2-222000000000000000-224-4000000000000000000000-220000000000000000000000000000
χ934-4-44-244-24-4-44-42-42-2-240-2-2422-42-4200-440000-2-2220000000000000002-2-440000000000000000000002-20000000000000000000000000000
χ944-4-44-24-2-2-2-424-4222-21-20-21-22-12-12223−234-4000011-1-10000−3323−23−3−333000-22-220023−23000000000000000001-100000−33000000000000000000000
χ954-4-44-24-2-2-2-424-4222-21-20-21-22-12-12223−23-44000011-1-10000−3323−23−3−3330002-22-200−232300000000000000000-11000003−3000000000000000000000
χ964-4-44-24-2-2-2-424-4222-21-20-21-22-12-122−23234-4000011-1-100003−3−232333−3−3000-22-2200−2323000000000000000001-1000003−3000000000000000000000
χ974-4-44-24-2-2-2-424-4222-21-20-21-22-12-122−2323-44000011-1-100003−3−232333−3−30002-22-20023−2300000000000000000-1100000−33000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-84-44448-4-8-4-42044-2-4-424-24000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-44484-8-8-4-44-42-404-24-42-4-244000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-444-4444-4-442220-2-2-2222-2-2-200000000-111-1006-60000-33-330000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-444-4444-4-442220-2-2-2222-2-2-200000000-111-100-6600003-33-30000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-4-844-44-4-848-4-42044-244-2-42-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-444-8-4-8844-4-42-404-244-242-4-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-484-8484-44-8-42-4-40-244-244-4-42000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4444-44-444-42220-2-2-2-2-2-222200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4444-44-444-42220-2-2-2-2-2-222200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-484-8-444-842-4-402-4-4-24444-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-4-444-444442220222-2-2-2-2-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-4-444-444442220222-2-2-2-2-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000

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