Finite Group Databasebeta

← Group #13172855

Character table — Group #13172855

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666233366666666666224444366666666666666644466661212121212121212121212122222666666121212121212121212121212121224446612121212446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-11-11-1-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-11-11-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111-11-1-1-1-111111111111111111111-1-11-11-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-11-11-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-1111-11
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
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-1-111-111-1-1-111-1-111-11-1
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-11111-1-1-1-111-1-111111111-1-11-1-1-1-1-11111-1-11-1-11-1-1-1-111111-1-1
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111-11-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-111-1-111-1-111-1-1-1-11111-1
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-111111-1-1-1-1111-1-11-1-1-1-111-1-11-11
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-111111-1-11111-1-1-111-1-1-111-1-1-1-1-111
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111111111-1-1-1
χ17222222-12-122-1-12222-1-12-1-1-1-122-1-1-1-12002222-122-1-1-1-122-1-1-1-1-1-1-12020000-1-1-1-1-1-1-1-122222222-1-1-1-100202000-1-1-1-1-1-1-1-10000-1-1000000000
χ18222222-12-122-1-12222-1-12-1-1-1-122-1-1-1-120022-2-2-122-1-1-1-122-1-1-1-1-1-1-1-2020000-1-1-1-1111122-2-2-2-2-2-2111100-202000-1-1-1-11111000011000000000
χ19222222-12-122-1-12222-1-12-1-1-1-122-1-1-1-1200-2-222-122-1-1-1-122-1-1-1-1-1-1-120-200001111-1-1-1-1-2-222-2-2-2-211110020-20001111-1-1-1-1000011000000000
χ20222222-12-122-1-12222-1-12-1-1-1-122-1-1-1-1200-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-1-20-2000011111111-2-2-2-22222-1-1-1-100-20-2000111111110000-1-1000000000
χ21222222-12-122-1-1222-2-1-1211-1-122-1-1-1-12002222-1-2-21111-2-2-1-1-11111-20-20000-1-111-1-111222222-2-2111100-20-2000-1-111-1-1110000-1-1000000000
χ22222222-12-122-1-1222-2-1-1211-1-122-1-1-1-120022-2-2-1-2-21111-2-2-1-1-1111120-20000-1-11111-1-122-2-2-2-222-1-1-1-10020-2000-1-11111-1-1000011000000000
χ23222222-12-122-1-1222-2-1-1211-1-122-1-1-1-1200-2-222-1-2-21111-2-2-1-1-11111-202000011-1-1-1-111-2-222-2-222-1-1-1-100-20200011-1-1-1-111000011000000000
χ24222222-12-122-1-1222-2-1-1211-1-122-1-1-1-1200-2-2-2-2-1-2-21111-2-2-1-1-11111202000011-1-111-1-1-2-2-2-222-2-211110020200011-1-111-1-10000-1-1000000000
χ2522222-12-122-1222-1222-1-1222-1-1-122-1-1-1222200-12-122-1-1-1-1-1-1-1-1-1-1-102222-1-122220000-1-10000000000-1-10-1-12-1-1-1-1-1-10000202000-1-10000-100
χ2622222-12-122-1222-1222-1-1222-1-1-122-1-1-122-2-200-12-122-1-1-1-1-1-1-1-1-1-1-102-222-1-1-2-2-2-20000110000000000-1-10-112-1-111110000-20-2000110000100
χ2722222-12-122-1222-1222-1-1222-1-1-122-1-1-1-2-22200-12-122-1-1-1-1-1-1-1-1-1-1-10-22-2-21122220000-1-100000000001101-1-211-1-1-1-10000-20-2000110000100
χ2822222-12-122-1222-1222-1-1222-1-1-122-1-1-1-2-2-2-200-12-122-1-1-1-1-1-1-1-1-1-1-10-2-2-2-211-2-2-2-2000011000000000011011-21111110000202000-1-10000-100
χ2922222-12-122-1222-12-22-1-1-2-22-1-1-122-1-1-1222200-1-21-2-21111-1-1-111110-2-222-1-122-2-20000-1-10000000000-1-1011-211-1-1110000-202000-1-10000100
χ3022222-12-122-1222-12-22-1-1-2-22-1-1-122-1-1-122-2-200-1-21-2-21111-1-1-111110-2222-1-1-2-2220000110000000000-1-101-1-21111-1-1000020-2000110000-100
χ3122222-12-122-1222-12-22-1-1-2-22-1-1-122-1-1-1-2-22200-1-21-2-21111-1-1-1111102-2-2-21122-2-20000-1-10000000000110-112-1-1-1-111000020-2000110000-100
χ3222222-12-122-1222-12-22-1-1-2-22-1-1-122-1-1-1-2-2-2-200-1-21-2-21111-1-1-11111022-2-211-2-2220000110000000000110-1-12-1-111-1-10000-202000-1-10000100
χ332222-12222-1222-12-12-12-122-12-1-1-1-122-1220022-1-12-1-122-1-1-1-1-1-1-1-1-1220-1-1220000222200-1-100000000-1-1-120-1-1-10000-1-1-1-102020000-1-1000-10
χ342222-12222-1222-12-12-12-122-12-1-1-1-122-12200-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-220-1-1220000-2-2-2-2001100000000-1-1120-1-1-1000011110-20-200001100010
χ352222-12222-1222-12-12-12-122-12-1-1-1-122-1-2-20022-1-12-1-122-1-1-1-1-1-1-1-1-12-2011-2-20000222200-1-10000000011-1-201110000-1-1-1-10-20-200001100010
χ362222-12222-1222-12-12-12-122-12-1-1-1-122-1-2-200-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2011-2-20000-2-2-2-2001100000000111-201110000111102020000-1-1000-10
χ372222-12222-1222-12-1-2-12-1-2-2-12-1-1-1-122-1220022-11-211-2-211-1-1-11111-2-20-1-122000022-2-200-1-100000000-1-11-201110000-1-1110-2020000-1-100010
χ382222-12222-1222-12-1-2-12-1-2-2-12-1-1-1-122-12200-2-2-11-211-2-211-1-1-111112-20-1-1220000-2-222001100000000-1-1-1-20111000011-1-1020-2000011000-10
χ392222-12222-1222-12-1-2-12-1-2-2-12-1-1-1-122-1-2-20022-11-211-2-211-1-1-11111-22011-2-2000022-2-200-1-10000000011120-1-1-10000-1-111020-2000011000-10
χ402222-12222-1222-12-1-2-12-1-2-2-12-1-1-1-122-1-2-200-2-2-11-211-2-211-1-1-1111122011-2-20000-2-22200110000000011-120-1-1-1000011-1-10-2020000-1-100010
χ4122-2-222222-2-2-2-22-2-2022200222-2-2-2-2-2-2002i−2i2i−2i2000000002-2-2000000000002i−2i002i−2i002i−2i2i−2i2-2000000000000002i−2i002i−2i0000002-2000000000
χ4222-2-222222-2-2-2-22-2-2022200222-2-2-2-2-2-2002i−2i−2i2i2000000002-2-2000000000002i−2i00−2i2i002i−2i−2i2i-22000000000000002i−2i00−2i2i000000-22000000000
χ4322-2-222222-2-2-2-22-2-2022200222-2-2-2-2-2-200−2i2i2i−2i2000000002-2-200000000000−2i2i002i−2i00−2i2i2i−2i-2200000000000000−2i2i002i−2i000000-22000000000
χ4422-2-222222-2-2-2-22-2-2022200222-2-2-2-2-2-200−2i2i−2i2i2000000002-2-200000000000−2i2i00−2i2i00−2i2i−2i2i2-200000000000000−2i2i00−2i2i0000002-2000000000
χ4522-2-222-12-1-2-2112-2-20-1-12−i3i3-1-12-21111-2002i−2i2i−2i-100−i3i3−i3i300-111−i3−i3i3i30000000−ii3−3−ii3−32i−2i2i−2i2-200−i3−i3i3i300000000−ii3−3−ii3−30000-11000000000
χ4622-2-222-12-1-2-2112-2-20-1-12−i3i3-1-12-21111-2002i−2i−2i2i-100−i3i3−i3i300-111−i3−i3i3i30000000−ii3−3i−i−332i−2i−2i2i-2200i3i3−i3−i300000000−ii3−3i−i−3300001-1000000000
χ4722-2-222-12-1-2-2112-2-20-1-12−i3i3-1-12-21111-200−2i2i2i−2i-100−i3i3−i3i300-111−i3−i3i3i30000000i−i−33−ii3−3−2i2i2i−2i-2200i3i3−i3−i300000000i−i−33−ii3−300001-1000000000
χ4822-2-222-12-1-2-2112-2-20-1-12−i3i3-1-12-21111-200−2i2i−2i2i-100−i3i3−i3i300-111−i3−i3i3i30000000i−i−33i−i−33−2i2i−2i2i2-200−i3−i3i3i300000000i−i−33i−i−330000-11000000000
χ4922-2-222-12-1-2-2112-2-20-1-12i3−i3-1-12-21111-2002i−2i2i−2i-100i3−i3i3−i300-111i3i3−i3−i30000000−ii−33−ii−332i−2i2i−2i2-200i3i3−i3−i300000000−ii−33−ii−330000-11000000000
χ5022-2-222-12-1-2-2112-2-20-1-12i3−i3-1-12-21111-2002i−2i−2i2i-100i3−i3i3−i300-111i3i3−i3−i30000000−ii−33i−i3−32i−2i−2i2i-2200−i3−i3i3i300000000−ii−33i−i3−300001-1000000000
χ5122-2-222-12-1-2-2112-2-20-1-12i3−i3-1-12-21111-200−2i2i2i−2i-100i3−i3i3−i300-111i3i3−i3−i30000000i−i3−3−ii−33−2i2i2i−2i-2200−i3−i3i3i300000000i−i3−3−ii−3300001-1000000000
χ5222-2-222-12-1-2-2112-2-20-1-12i3−i3-1-12-21111-200−2i2i−2i2i-100i3−i3i3−i300-111i3i3−i3−i30000000i−i3−3i−i3−3−2i2i−2i2i2-200i3i3−i3−i300000000i−i3−3i−i3−30000-11000000000
χ532-2-22222-2-2-222-2-2-22022200-2-2-2-22-22-222-20000200000000-22-200000002-22-2000000000000002-22-22-22-20000000000000000000000002-2000
χ542-2-22222-2-2-222-2-2-22022200-2-2-2-22-22-222-20000200000000-22-200000002-22-200000000000000-22-22-222-2000000000000000000000000-22000
χ552-2-22222-2-2-222-2-2-22022200-2-2-2-22-22-22-220000200000000-22-20000000-22-22000000000000002-22-22-2-22000000000000000000000000-22000
χ562-2-22222-2-2-222-2-2-22022200-2-2-2-22-22-22-220000200000000-22-20000000-22-2200000000000000-22-22-22-220000000000000000000000002-2000
χ5744444-2-2-2-24-2-2-24-244-21-2-2-2-21-2-2-2-211-200440014-2-2-211-2-211111110040000-2-2-2-20000-2-200000000000000-200011110000000000000000000
χ5844444-2-2-2-24-2-2-24-244-21-2-2-2-21-2-2-2-211-200-4-40014-2-2-211-2-2111111100-400002222000022000000000000002000-1-1-1-10000000000000000000
χ5944444-2-2-2-24-2-2-24-24-4-21-222-21-2-2-2-211-20044001-4222-1-122111-1-1-1-100-40000-2-2220000-2-200000000000000200011-1-10000000000000000000
χ6044444-2-2-2-24-2-2-24-24-4-21-222-21-2-2-2-211-200-4-4001-4222-1-122111-1-1-1-1004000022-2-200002200000000000000-2000-1-1110000000000000000000
χ614444-24-24-2-24-2-2-24-241-2-2-2-21-2-2-211-2-2-20000441-2411-2-2-2-2111111140000000000-2-2-2-200-2-20000000000-20000000001111000000000000000
χ624444-24-24-2-24-2-2-24-241-2-2-2-21-2-2-211-2-2-20000-4-41-2411-2-2-2-21111111-400000000002222002200000000002000000000-1-1-1-1000000000000000
χ634444-24-24-2-24-2-2-24-2-41-2-2221-2-2-211-2-2-200004412-4-1-12222111-1-1-1-1-40000000000-2-22200-2-20000000000200000000011-1-1000000000000000
χ644444-24-24-2-24-2-2-24-2-41-2-2221-2-2-211-2-2-20000-4-412-4-1-12222111-1-1-1-14000000000022-2-200220000000000-2000000000-1-111000000000000000
χ654444-2-24-24-2-244-2-2-24-2-2144-2-211-2-2-2-214400001-2-2-2-2-2-2111111111040-2-2-2-200000000000000000000110-20-21100000000000000000000000
χ664444-2-24-24-2-244-2-2-24-2-2144-2-211-2-2-2-21-4-400001-2-2-2-2-2-21111111110-40222200000000000000000000-1-10202-1-100000000000000000000000
χ674444-2-24-24-2-244-2-2-2-4-2-21-4-4-2-211-2-2-2-214400001222222-1-1111-1-1-1-10-40-2-2-2-200000000000000000000110202-1-100000000000000000000000
χ684444-2-24-24-2-244-2-2-2-4-2-21-4-4-2-211-2-2-2-21-4-400001222222-1-1111-1-1-1-1040222200000000000000000000-1-10-20-21100000000000000000000000
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χ7444-4-44-2-2-2-2-422242-40-21-22i3−2i3-21-2222-1-1200−4i4i001002i3−2i3−i3i3001-1-1−i3−i3i3i300000002i−2i23−2300002i−2i000000000000000000−ii−330000000000000000000
χ7544-4-4-244442-4-4-4-2-420-24-200-24-2222-4-4200004i−4i-200000000-2220000000000000004i−4i0000−2i2i00000000000000000000−2i2i00000000000000000
χ7644-4-4-244442-4-4-4-2-420-24-200-24-2222-4-420000−4i4i-200000000-222000000000000000−4i4i00002i−2i000000000000000000002i−2i00000000000000000
χ7744-4-4-24-24-22-422-2-4201-2-2−2i32i31-2-22-1-122200004i−4i100i3−i3−2i32i3001-1-1i3i3−i3−i300000000000−2i2i23−2300−2i2i00000000000000000000i−i−33000000000000000
χ7844-4-4-24-24-22-422-2-4201-2-2−2i32i31-2-22-1-12220000−4i4i100i3−i3−2i32i3001-1-1i3i3−i3−i3000000000002i−2i−2323002i−2i00000000000000000000−ii3−3000000000000000
χ7944-4-4-24-24-22-422-2-4201-2-22i3−2i31-2-22-1-122200004i−4i100−i3i32i3−2i3001-1-1−i3−i3i3i300000000000−2i2i−232300−2i2i00000000000000000000i−i3−3000000000000000
χ8044-4-4-24-24-22-422-2-4201-2-22i3−2i31-2-22-1-12220000−4i4i100−i3i32i3−2i3001-1-1−i3−i3i3i3000000000002i−2i23−23002i−2i00000000000000000000−ii−33000000000000000
χ814-44-4444-4-44-4-44-44-4044400-4-4-44-44-44-4000000400000000-4-4400000000000000000000000000000000000000000000000000000000000000
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χ864-44-4-244-4-4-2-4-442420-24-2002-42-22-2-442000000-20000000022-2000000000000000000000000000000000000000000000000000000023−2300000
χ874-44-4-244-4-4-2-4-442420-24-2002-42-22-2-442000000-20000000022-20000000000000000000000000000000000000000000000000000000−232300000
χ884-4-4444-2-42-44-22-4-440-2-240022-4-4-22-224000000-2000000002-2200000000000000000000000004-4-22-220000000000000000000000000000000
χ894-4-4444-2-42-44-22-4-440-2-240022-4-4-22-224000000-2000000002-220000000000000000000000000-442-22-20000000000000000000000000000000
χ904-4-444-242-4-4-24-4-42404-2-200-42224-4-22-24-40000-2000000002-2200000004-4-2200000000000000000000-2200000000000000000000000000000
χ914-4-444-242-4-4-24-4-42404-2-200-42224-4-22-2-440000-2000000002-220000000-442-2000000000000000000002-200000000000000000000000000000
χ924-4-44-244-4-4244-42-4-20-24-2002-422-224-4-24-40000-2000000002-220000000-224-400000000000000000000-2200000000000000000000000000000
χ934-4-44-244-4-4244-42-4-20-24-2002-422-224-4-2-440000-2000000002-2200000002-2-44000000000000000000002-200000000000000000000000000000
χ944-4-44-2-242-42-24-422-20-2-210022-1-1-22-2214-4000010000003-3-11-13-33-3000-22-22000000000000000000001-100003-300000000000000000000000
χ954-4-44-2-242-42-24-422-20-2-210022-1-1-22-2214-400001000000-33-11-1-33-33000-22-22000000000000000000001-10000-3300000000000000000000000
χ964-4-44-2-242-42-24-422-20-2-210022-1-1-22-221-44000010000003-3-11-13-33-30002-22-200000000000000000000-110000-3300000000000000000000000
χ974-4-44-2-242-42-24-422-20-2-210022-1-1-22-221-4400001000000-33-11-1-33-330002-22-200000000000000000000-1100003-300000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222000000-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222000000-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-4844-8-8-4440-4-4200-4-42-24444-20000002000000002-2-200000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-44444-4440222−4i34i3222-2-2-2-2-2-2000000-1002i3−2i32i3−2i300-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-44444-44402224i3−4i3222-2-2-2-2-2-2000000-100−2i32i3−2i32i300-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-444844-4-8-4-80-42-4004-24-44-4-224000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4-84-4-84-448402-4-400-244-4-224-44000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-484-8-44-884-440-4-420044-224-44-4-2000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-444-44-44022200-2-2-22-22-22-2000000-10000000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-444-444-44-44022200-2-2-22-22-22-2000000-10000000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-444-8-4-44-8480-42-4004-244-442-2-4000000200000000-22-200000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-4-8448-444-8-402-4-400-24442-2-44-4000000200000000-22-200000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444-4-4444-4022200-2-2-2-22-22-22000000-10000006-61-11-33-330000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444-4-4444-4022200-2-2-2-22-22-22000000-1000000-661-113-33-30000000000000000000000000000000000000000000000000000000000

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