Finite Group Databasebeta

← Group #13180791

Character table — Group #13180791

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222233334444466666666666688888888888899121212121216161616161616161616161618181818182424242424242424242424243636363672727272108108108108
order123346612122244361212122466666612121212333666121212121212446612121233366612121212121226612126666661212121212124444121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-111111-11111-1-1111-1-1111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111-1-111111-11111-1-1111-1-1111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-111-1-1111111-1-1-1-1-1111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-11-11-11-11-11-1
χ61111-111-1-1111111-1-1-1-1-1111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-11-11-11-11-11
χ71111-111-1-111-1-111-1-1-11-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-11-11-11-11-1-11-11
χ81111-111-1-111-1-111-1-1-11-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-11-11-11-111-11-1
χ9222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222222-2-222222-22222-2-2222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111111111000000000000
χ112222-222-2-2222222-2-2-2-2-2222-2-22-2-222-1-1-1-1-1-11111112222-2-2-2-1-1-1-1-1-1111111-2-2-222111111-1-1-1-1-1-1000000000000
χ122222-222-2-222-2-222-2-2-22-2222222-2-2-2-2-1-1-1-1-1-1111111-2-222-2-2-2-1-1-1-1-1-1111111222-2-2-1-1-1-1-1-1111111000000000000
χ13222-12-12-1-12222-1-12-1-1222-1-1-1-12-1-1-1-12-1-12-1-122-1-1-1-122-1-12-1-12-1-12-1-122-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ14222-12-12-1-12222-1-12-1-1222-1-1-1-12-1-1-1-1-12-1-12-1-1-122-1-122-1-12-1-1-12-1-12-1-1-122-1-12-1-1-1-1-1-122-1-1-1-122-1-1000000000000
χ15222-12-12-1-12222-1-12-1-1222-1-1-1-12-1-1-1-1-1-12-1-12-1-1-1-12222-1-12-1-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122000000000000
χ16222-12-12-1-122-2-2-1-12-1-1-222-1-1112-1-1112-1-12-1-122-1-1-1-1-2-2-1-12-1-12-1-12-1-122-1-1-1-1-21111-2-21111-2-21111000000000000
χ17222-12-12-1-122-2-2-1-12-1-1-222-1-1112-1-111-12-1-12-1-1-122-1-1-2-2-1-12-1-1-12-1-12-1-1-122-1-1-2111111-2-21111-2-211000000000000
χ18222-12-12-1-122-2-2-1-12-1-1-222-1-1112-1-111-1-12-1-12-1-1-1-122-2-2-1-12-1-1-1-12-1-12-1-1-1-122-211111111-2-21111-2-2000000000000
χ19222-1-2-12112222-1-1-211-2-22-1-111211-1-12-1-12-1-1-2-2111122-1-1-2112-1-12-1-1-2-21111-211-1-1-2-2111122-1-1-1-1000000000000
χ20222-1-2-12112222-1-1-211-2-22-1-111211-1-1-12-1-12-111-2-21122-1-1-211-12-1-12-111-2-211-211-1-111-2-211-1-122-1-1000000000000
χ21222-1-2-12112222-1-1-211-2-22-1-111211-1-1-1-12-1-121111-2-222-1-1-211-1-12-1-121111-2-2-211-1-11111-2-2-1-1-1-122000000000000
χ22222-1-2-121122-2-2-1-1-2112-22-1-1-1-1211112-1-12-1-1-2-21111-2-2-1-1-2112-1-12-1-1-2-211112-1-11122-1-1-1-1-2-21111000000000000
χ23222-1-2-121122-2-2-1-1-2112-22-1-1-1-121111-12-1-12-111-2-211-2-2-1-1-211-12-1-12-111-2-2112-1-111-1-122-1-111-2-211000000000000
χ24222-1-2-121122-2-2-1-1-2112-22-1-1-1-121111-1-12-1-121111-2-2-2-2-1-1-211-1-12-1-121111-2-22-1-111-1-1-1-1221111-2-2000000000000
χ2522-1222-1222200-1-1-1-1-102-12200-1220022222222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-10000
χ2622-1222-1222200-1-1-1-1-102-12200-1220022222222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-211110000
χ2722-12-22-1-2-22200-1-11110-2-12200-1-2-200222222-2-2-2-2-2-200-1-1111-1-1-1-1-1-1111111000000000000000002-22-2-11-110000
χ2822-12-22-1-2-22200-1-11110-2-12200-1-2-200222222-2-2-2-2-2-200-1-1111-1-1-1-1-1-111111100000000000000000-22-221-11-10000
χ292-2220-2-200-222i−2i2-20000022-200-2002i−2i222-2-2-20000002i−2i2-2000222-2-2-20000000002i−2i0000002i−2i2i−2i2i−2i000000000000
χ302-2220-2-200-222i−2i2-20000022-200-2002i−2i-1-1-11113−33−33−32i−2i2-2000-1-1-11113−33−33−30002i−2i−i3i3−i3i3−i3i3−ii−ii−ii000000000000
χ312-2220-2-200-222i−2i2-20000022-200-2002i−2i-1-1-1111−33−33−332i−2i2-2000-1-1-1111−33−33−330002i−2ii3−i3i3−i3i3−i3−ii−ii−ii000000000000
χ322-2220-2-200-22−2i2i2-20000022-200-200−2i2i222-2-2-2000000−2i2i2-2000222-2-2-2000000000−2i2i000000−2i2i−2i2i−2i2i000000000000
χ332-2220-2-200-22−2i2i2-20000022-200-200−2i2i-1-1-11113−33−33−3−2i2i2-2000-1-1-11113−33−33−3000−2i2ii3−i3i3−i3i3−i3i−ii−ii−i000000000000
χ342-2220-2-200-22−2i2i2-20000022-200-200−2i2i-1-1-1111−33−33−33−2i2i2-2000-1-1-1111−33−33−33000−2i2i−i3i3−i3i3−i3i3i−ii−ii−i000000000000
χ352-22-101-23−3-222i−2i-1103−3002-11−i3i3-23−3−ii2-1-1-211003−3−332i−2i-1103−32-1-1-211003−3−330−i3i3−ii00−i3i3i3−i32i−2i−ii−ii000000000000
χ362-22-101-23−3-222i−2i-1103−3002-11−i3i3-23−3−ii-12-11-21−33003−32i−2i-1103−3-12-11-21−33003−30−i3i3−iii3−i300−i3i3−ii2i−2i−ii000000000000
χ372-22-101-23−3-222i−2i-1103−3002-11−i3i3-23−3−ii-1-1211-23−3−33002i−2i-1103−3-1-1211-23−3−33000−i3i3−ii−i3i3i3−i300−ii−ii2i−2i000000000000
χ382-22-101-23−3-22−2i2i-1103−3002-11i3−i3-23−3i−i2-1-1-211003−3−33−2i2i-1103−32-1-1-211003−3−330i3−i3i−i00i3−i3−i3i3−2i2ii−ii−i000000000000
χ392-22-101-23−3-22−2i2i-1103−3002-11i3−i3-23−3i−i-12-11-21−33003−3−2i2i-1103−3-12-11-21−33003−30i3−i3i−i−i3i300i3−i3i−i−2i2ii−i000000000000
χ402-22-101-23−3-22−2i2i-1103−3002-11i3−i3-23−3i−i-1-1211-23−3−3300−2i2i-1103−3-1-1211-23−3−33000i3−i3i−ii3−i3−i3i300i−ii−i−2i2i000000000000
χ412-22-101-2−33-222i−2i-110−33002-11i3−i3-2−33−ii2-1-1-21100−333−32i−2i-110−332-1-1-21100−333−30i3−i3−ii00i3−i3−i3i32i−2i−ii−ii000000000000
χ422-22-101-2−33-222i−2i-110−33002-11i3−i3-2−33−ii-12-11-213−300−332i−2i-110−33-12-11-213−300−330i3−i3−ii−i3i300i3−i3−ii2i−2i−ii000000000000
χ432-22-101-2−33-222i−2i-110−33002-11i3−i3-2−33−ii-1-1211-2−333−3002i−2i-110−33-1-1211-2−333−3000i3−i3−iii3−i3−i3i300−ii−ii2i−2i000000000000
χ442-22-101-2−33-22−2i2i-110−33002-11−i3i3-2−33i−i2-1-1-21100−333−3−2i2i-110−332-1-1-21100−333−30−i3i3i−i00−i3i3i3−i3−2i2ii−ii−i000000000000
χ452-22-101-2−33-22−2i2i-110−33002-11−i3i3-2−33i−i-12-11-213−300−33−2i2i-110−33-12-11-213−300−330−i3i3i−ii3−i300−i3i3i−i−2i2ii−i000000000000
χ462-22-101-2−33-22−2i2i-110−33002-11−i3i3-2−33i−i-1-1211-2−333−300−2i2i-110−33-1-1211-2−333−3000−i3i3i−i−i3i3i3−i300i−ii−i−2i2i000000000000
χ47333333333-1-133333333-1-1-1-133-1-1-133000000000000-1-1-1-1-1-1-1000000000000-1-1-1-1-100000000000011-1-111-1-111-1-1
χ48333333333-1-133333333-1-1-1-133-1-1-133000000000000-1-1-1-1-1-1-1000000000000-1-1-1-1-1000000000000-1-111-1-111-1-111
χ49333333333-1-1-3-333333-3-1-1-1-1-3-3-1-1-1-3-300000000000011-1-1-1-1-10000000000001111100000000000011-1-111-1-1-1-111
χ50333333333-1-1-3-333333-3-1-1-1-1-3-3-1-1-1-3-300000000000011-1-1-1-1-100000000000011111000000000000-1-111-1-11111-1-1
χ513333-333-3-3-1-13333-3-3-3-31-1-1-1-3-3-11133000000000000-1-1-1-1111000000000000111-1-10000000000001-1-111-1-111-1-11
χ523333-333-3-3-1-13333-3-3-3-31-1-1-1-3-3-11133000000000000-1-1-1-1111000000000000111-1-1000000000000-111-1-111-1-111-1
χ533333-333-3-3-1-1-3-333-3-3-331-1-1-133-111-3-300000000000011-1-1111000000000000-1-1-1110000000000001-1-111-1-11-111-1
χ543333-333-3-3-1-1-3-333-3-3-331-1-1-133-111-3-300000000000011-1-1111000000000000-1-1-111000000000000-111-1-111-11-1-11
χ5544-2444-2444400-2-2-2-2-204-24400-24400-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-211111111111100000000000000000000000000000
χ5644-24-44-2-4-44400-2-22220-4-24400-2-4-400-2-2-2-2-2-222222200-2-2222111111-1-1-1-1-1-100000000000000000000000000000
χ5744-2-24-2-2-2-2440011-21104-2-2-200-2-2-2004-2-24-2-244-2-2-2-20011-211-211-211-2-2111100000000000000000000000000000
χ5844-2-24-2-2-2-2440011-21104-2-2-200-2-2-200-24-2-24-2-2-244-2-20011-2111-211-2111-2-21100000000000000000000000000000
χ5944-2-24-2-2-2-2440011-21104-2-2-200-2-2-200-2-24-2-24-2-2-2-2440011-21111-211-21111-2-200000000000000000000000000000
χ6044-2-2-4-2-2224400112-1-10-4-2-2-200-222004-2-24-2-2-4-4222200112-1-1-211-21122-1-1-1-100000000000000000000000000000
χ6144-2-2-4-2-2224400112-1-10-4-2-2-200-22200-24-2-24-222-4-42200112-1-11-211-21-1-122-1-100000000000000000000000000000
χ6244-2-2-4-2-2224400112-1-10-4-2-2-200-22200-2-24-2-242222-4-400112-1-111-211-2-1-1-1-12200000000000000000000000000000
χ634-4-240-4200-4400-2200000-24-40020000444-4-4-400000000-22000-2-2-222200000000000000000000000000000000000
χ644-4-240-4200-4400-2200000-24-40020000-2-2-222223−2323−2323−2300-22000111-1-1-1−33−33−3300000000000000000000000000000
χ654-4-240-4200-4400-2200000-24-40020000-2-2-2222−2323−2323−232300-22000111-1-1-13−33−33−300000000000000000000000000000
χ664-4-2-202223−23-44001-10−3300-2-2200223−23004-2-2-4220023−23−2323001-10−33-2112-1-100−333−300000000000000000000000000000
χ674-4-2-202223−23-44001-10−3300-2-2200223−2300-24-22-42−23230023−23001-10−331-21-12-13−300−3300000000000000000000000000000
χ684-4-2-202223−23-44001-10−3300-2-2200223−2300-2-2422-423−23−232300001-10−3311-2-1-12−333−30000000000000000000000000000000
χ694-4-2-2022−2323-44001-103−300-2-22002−2323004-2-2-42200−232323−23001-103−3-2112-1-1003−3−3300000000000000000000000000000
χ704-4-2-2022−2323-44001-103−300-2-22002−232300-24-22-4223−2300−2323001-103−31-21-12-1−33003−300000000000000000000000000000
χ714-4-2-2022−2323-44001-103−300-2-22002−232300-2-2422-4−232323−2300001-103−311-2-1-123−3−330000000000000000000000000000000
χ72666-36-36-3-3-2-266-3-36-3-36-2-211-3-3-211-3-3000000000000-2-211-211000000000000-21111000000000000000000000000
χ73666-36-36-3-3-2-2-6-6-3-36-3-3-6-2-21133-211330000000000002211-2110000000000002-1-1-1-1000000000000000000000000
χ74666-3-6-3633-2-266-3-3-633-62-21133-2-1-1-3-3000000000000-2-2112-1-10000000000002-1-111000000000000000000000000
χ75666-3-6-3633-2-2-6-6-3-3-63362-211-3-3-2-1-13300000000000022112-1-1000000000000-211-1-1000000000000000000000000
χ7666-3666-366-2-200-3-3-3-3-30-21-2-2001-2-20000000000000000111110000000000000000000000000000022-2-2-1-1110000
χ7766-3666-366-2-200-3-3-3-3-30-21-2-2001-2-200000000000000001111100000000000000000000000000000-2-22211-1-10000
χ7866-36-66-3-6-6-2-200-3-3333021-2-200122000000000000000011-1-1-1000000000000000000000000000002-2-22-111-10000
χ7966-36-66-3-6-6-2-200-3-3333021-2-200122000000000000000011-1-1-100000000000000000000000000000-222-21-1-110000
χ806-6660-6-6002-26i−6i6-600000-2-22002006i−6i000000000000−2i2i-22000000000000000000−2i2i000000000000000000000000
χ816-6660-6-6002-2−6i6i6-600000-2-2200200−6i6i0000000000002i−2i-220000000000000000002i−2i000000000000000000000000
χ826-66-303-633−332-26i−6i-33033−3300-21-1−3i33i32−33−3i3i000000000000−2i2i1-10−330000000000000i3−i3i−i000000000000000000000000
χ836-66-303-633−332-2−6i6i-33033−3300-21-13i3−3i32−333i−3i0000000000002i−2i1-10−330000000000000−i3i3−ii000000000000000000000000
χ846-66-303-6−33332-26i−6i-330−333300-21-13i3−3i323−3−3i3i000000000000−2i2i1-103−30000000000000−i3i3i−i000000000000000000000000
χ856-66-303-6−33332-2−6i6i-330−333300-21-1−3i33i323−33i−3i0000000000002i−2i1-103−30000000000000i3−i3−ii000000000000000000000000
χ861212-6-612-6-6-6-6-4-40033-6330-4222002220000000000000000-1-12-1-100000000000000000000000000000000000000000
χ871212-6-6-12-6-666-4-400336-3-304222002-2-20000000000000000-1-1-21100000000000000000000000000000000000000000
χ8812-12-6120-126004-400-66000002-4400-20000000000000000002-200000000000000000000000000000000000000000000
χ8912-12-6-606663−634-4003-30−33330022-200-2−23230000000000000000-1103−300000000000000000000000000000000000000000
χ9012-12-6-6066−63634-4003-3033−330022-200-223−230000000000000000-110−3300000000000000000000000000000000000000000

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