Finite Group Databasebeta

← Group #13172720

Character table — Group #13172720

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666622444412121212366666666666624466666612121212121212121212121212121212224466666121212121212122444661212121222612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111-1-11111111111111111-1-111-111-1-11-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1111-1-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-1-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-11111111111111111111111-11-1-1-1-111-1-111111111111111-1-1-1-11-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-111-1-11-1-1-1111111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1-1-1-11-11-111-1-111111-1-1-1
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1111-1-1-1-111-1-1-1111
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-1-111-1-1111-1-11-1-111-1-11111-1-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-111-1-11-1-11-1-111-1-1-1-111-11
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11111111-11-1-11111-1-111-1-11-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-1111-1-1-1-11111-111-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111111-11-111-1-111-1-11-1-11
χ17222222-122-1-122-12222-1-12222222222-1-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1220000000000000022002-1-1-1-1-1-12-1-1-1-10002-1-10000000-100
χ18222222-122-1-122-12222-1-12222222222-1-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-222-1-1112200000000000000-2-200-2-1-111-11-2-1-111000-2110000000100
χ19222222-122-1-122-12222-1-12222222222-1-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-2-211-1-1-2-200000000000000-2-200211-1-11-1211-1-1000-2110000000100
χ20222222-122-1-122-12222-1-12222222222-1-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21111-2-2000000000000002200-2111111-211110002-1-10000000-100
χ21222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122200000000-111111-1-1-111112-2-222-1-1-1-1-2-20000000000000022002-1-1-1-111-21111000-2-1-10000000100
χ22222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122200000000-111111-1-1-11111-2-2222-1-111-2-200000000000000-2-200-2-1-1111-1211-1-10002110000000-100
χ23222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-200000000-111111-1-1-1111122-2-2-211-1-12200000000000000-2-200211-1-1-11-2-1-1110002110000000-100
χ24222222-122-1-122-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-200000000-111111-1-1-11111-222-2-2111122000000000000002200-21111-1-12-1-1-1-1000-2-1-10000000100
χ2522222-12-1222-122-122-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-120200002200-1-1-1-122-1-1-1-1-1-1-1-10000-100-1-102-100-1-1220000000000-10-10
χ2622222-12-1222-122-122-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-1-20-20000-2-200-1-1-1-122-1-1-1-1-1-1-1-10000100110-210011-2-200000000001010
χ2722222-12-1222-122-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1202000022001111-2-2111111110000-100-1-102-100-1-1-2-200000000001010
χ2822222-12-1222-122-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-20000-2-2001111-2-2111111110000100110-210011220000000000-10-10
χ2922222-12-1222-122-12-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-1111120-200002200-1-111-2-2-1-1-1-111110000-100-1-10-2100112-20000000000-1010
χ3022222-12-1222-122-12-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-11111-2020000-2-200-1-111-2-2-1-1-1-1111100001001102-100-1-1-22000000000010-10
χ3122222-12-1222-122-12-2-12-1-2-211-1-1111122-1-12-1-100-2-222-2-2-2-2-1-2-2-211-1-1-1111120-20000220011-1-1221111-1-1-1-10000-100-1-10-210011-22000000000010-10
χ3222222-12-1222-122-12-2-12-1-2-211-1-1111122-1-12-1-100-2-222-2-2-2-2-1-2-2-211-1-1-11111-2020000-2-20011-1-1221111-1-1-1-100001001102-100-1-12-20000000000-1010
χ332222-1222-1222-122-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1020-1-12200-1-12222-1-1-1-1-1-1-1-1-1-100220-1-100200-1-100002000-1-1-1-1000000
χ342222-1222-1222-122-12-1-12-1-122-1-1-1-1-1-1-1-122-12-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-1020-1-12200-1-1-2-2-2-2111111111100-2-20-1-100200-1-10000-20001111000000
χ352222-1222-1222-122-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-22222-1-1-1-1-12-1-122-1-1-1-1-1-1-10-2011-2-200112222-1-1-1-1-1-1-1-1-1-100-2-201100-200110000-20001111000000
χ362222-1222-1222-122-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-2011-2-20011-2-2-2-21111111111002201100-2001100002000-1-1-1-1000000
χ372222-1222-1222-122-1-2-1-1211-2-2-1-11111-1-122-12-12222-2-2-1-1-1-1-1-211-2-2-1-1-111110-20-1-122001122-2-211-1-1-1-1111100-2-20-1-100-200110000200011-1-1000000
χ382222-1222-1222-122-1-2-1-1211-2-2-1-11111-1-122-12-122-2-2221111-1-211-2-2-1-1-111110-20-1-1220011-2-222-1-11111-1-1-1-100220-1-100-200110000-2000-1-111000000
χ392222-1222-1222-122-1-2-1-1211-2-2-1-11111-1-122-12-1-2-222-2-2-1-1-1-1-1-211-2-2-1-1-1111102011-2-200-1-122-2-211-1-1-1-11111002201100200-1-10000-2000-1-111000000
χ402222-1222-1222-122-1-2-1-1211-2-2-1-11111-1-122-12-1-2-2-2-2221111-1-211-2-2-1-1-1111102011-2-200-1-1-2-222-1-11111-1-1-1-100-2-201100200-1-10000200011-1-1000000
χ4122-2-2222222-2-2-2-2-2-2022200002-20000-2-22-22-2-22-2002i−2i00002000002-2-200000002-22-20000002i−2i2i−2i00002i2i−2i−2i002i−2i02-20000000000000002i−2i00000000
χ4222-2-2222222-2-2-2-2-2-2022200002-20000-2-22-22-2-22-200−2i2i00002000002-2-200000002-22-2000000−2i2i−2i2i0000−2i−2i2i2i00−2i2i02-2000000000000000−2i2i00000000
χ4322-2-2222222-2-2-2-2-2-2022200002-20000-2-22-22-2-2-22002i−2i00002000002-2-20000000-22-220000002i−2i2i−2i00002i2i−2i−2i00−2i2i0-22000000000000000−2i2i00000000
χ4422-2-2222222-2-2-2-2-2-2022200002-20000-2-22-22-2-2-2200−2i2i00002000002-2-20000000-22-22000000−2i2i−2i2i0000−2i−2i2i2i002i−2i0-220000000000000002i−2i00000000
χ4522-2-2-1222-12-2-21-2-210-1-12−i3i300-11−i3−i3i3i3112-2-1-212-2002i−2i33−3−3-10−i3i300-111−i3−i3i3i3000-112-200−i3i3002i−2i−ii33−3−3−i−iii002i−2i0-1100000−i3i300000000−ii3−3000000
χ4622-2-2-1222-12-2-21-2-210-1-12−i3i300-11−i3−i3i3i3112-2-1-212-200−2i2i−3−333-10−i3i300-111−i3−i3i3i3000-112-200−i3i300−2i2ii−i−3−333ii−i−i00−2i2i0-1100000−i3i300000000i−i−33000000
χ4722-2-2-1222-12-2-21-2-210-1-12−i3i300-11−i3−i3i3i3112-2-1-21-22002i−2i33−3−3-10−i3i300-111−i3−i3i3i30001-1-2200i3−i3002i−2i−ii33−3−3−i−iii00−2i2i01-100000i3−i300000000i−i−33000000
χ4822-2-2-1222-12-2-21-2-210-1-12−i3i300-11−i3−i3i3i3112-2-1-21-2200−2i2i−3−333-10−i3i300-111−i3−i3i3i30001-1-2200i3−i300−2i2ii−i−3−333ii−i−i002i−2i01-100000i3−i300000000−ii3−3000000
χ4922-2-2-1222-12-2-21-2-210-1-12i3−i300-11i3i3−i3−i3112-2-1-212-2002i−2i−3−333-10i3−i300-111i3i3−i3−i3000-112-200i3−i3002i−2i−ii−3−333−i−iii002i−2i0-1100000i3−i300000000−ii−33000000
χ5022-2-2-1222-12-2-21-2-210-1-12i3−i300-11i3i3−i3−i3112-2-1-212-200−2i2i33−3−3-10i3−i300-111i3i3−i3−i3000-112-200i3−i300−2i2ii−i33−3−3ii−i−i00−2i2i0-1100000i3−i300000000i−i3−3000000
χ5122-2-2-1222-12-2-21-2-210-1-12i3−i300-11i3i3−i3−i3112-2-1-21-22002i−2i−3−333-10i3−i300-111i3i3−i3−i30001-1-2200−i3i3002i−2i−ii−3−333−i−iii00−2i2i01-100000−i3i300000000i−i3−3000000
χ5222-2-2-1222-12-2-21-2-210-1-12i3−i300-11i3i3−i3−i3112-2-1-21-2200−2i2i33−3−3-10i3−i300-111i3i3−i3−i30001-1-2200−i3i300−2i2ii−i33−3−3ii−i−i002i−2i01-100000−i3i300000000−ii−33000000
χ532-2-22222-2-2-2-22-22-2202220000-2-200002-2-22-2-22002-2002-22-2200000-22-20000000000000002-200002-22-200002-20000000000000000002-200002-20000
χ542-2-22222-2-2-2-22-22-2202220000-2-200002-2-22-2-22002-2002-22-2200000-22-20000000000000002-200002-22-20000-22000000000000000000-220000-220000
χ552-2-22222-2-2-2-22-22-2202220000-2-200002-2-22-2-2200-2200-22-22200000-22-2000000000000000-220000-22-2200002-20000000000000000002-20000-220000
χ562-2-22222-2-2-2-22-22-2202220000-2-200002-2-22-2-2200-2200-22-22200000-22-2000000000000000-220000-22-220000-22000000000000000000-2200002-20000
χ5744444-2-2-24-2-2-24-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-200000000001-2-2-21111111114040000-2-200000000000000000000-200110-2-200110000000000000000
χ5844444-2-2-24-2-2-24-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-200000000001-2-2-2111111111-40-400002200000000000000000000200-1-102200-1-10000000000000000
χ5944444-2-2-24-2-2-24-2-24-4-2-21-4-422-2-22222-2-211-21-200000000001222-1-1111-1-1-1-140-40000-2-200000000000000000000-2001102200-1-10000000000000000
χ6044444-2-2-24-2-2-24-2-24-4-2-21-4-422-2-22222-2-211-21-200000000001222-1-1111-1-1-1-1-40400002200000000000000000000200-1-10-2-200110000000000000000
χ614444-24-24-2-2-24-2-24-24-21-2-2-244-2-2-2-2-2-211-2-21-2-244000000001-211-2-21111111040-2-2-2-200-2-200000000000000000001100-20011000000000000000000
χ624444-24-24-2-2-24-2-24-24-21-2-2-244-2-2-2-2-2-211-2-21-2-2-4-4000000001-211-2-211111110-40222200220000000000000000000-1-100200-1-1000000000000000000
χ634444-24-24-2-2-24-2-24-2-4-21-222-4-4-2-2222211-2-21-2-2440000000012-1-122111-1-1-1-10-40-2-2-2-2002200000000000000000001100200-1-1000000000000000000
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χ664444-2-24-2-244-2-24-2-241-2-2-2-2-2-2111111-2-2-2-2-2-2100-4-4-4-4222214-2-2-2-2111111100000000000222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-24-2-244-2-24-2-2-41-2-2222211-1-1-1-1-2-2-2-2-2-210044-4-4-2-2-2-21-42222111-1-1-1-100000000000-2-222221111-1-1-1-100000000000000000000000000000000
χ684444-2-24-2-244-2-24-2-2-41-2-2222211-1-1-1-1-2-2-2-2-2-2100-4-44422221-42222111-1-1-1-10000000000022-2-2-2-2-1-1-1-1111100000000000000000000000000000000
χ6944-4-444-244-22-4-42-4-404-2-200004-4000022-22-22-44-400000000-200000-22200000004-4-2200000000000000000000000-220000000000000000000000000
χ7044-4-444-244-22-4-42-4-404-2-200004-4000022-22-22-4-4400000000-200000-2220000000-442-2000000000000000000000002-20000000000000000000000000
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χ7244-4-44-24-244-42-4-42-40-24-20000-220000-4-4-224220000−4i4i0000-200000-222000000000000000002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000000000
χ7344-4-4-24-24-2-22-422-420-21-2−2i32i300-22−2i3−2i32i32i3-1-1-221224-40000000010i3−i3001-1-1i3i3−i3−i3000-22-2200−2i32i300000000000000000001-100000i3−i3000000000000000000
χ7444-4-4-24-24-2-22-422-420-21-2−2i32i300-22−2i3−2i32i32i3-1-1-22122-440000000010i3−i3001-1-1i3i3−i3−i30002-22-2002i3−2i30000000000000000000-1100000−i3i3000000000000000000
χ7544-4-4-24-24-2-22-422-420-21-22i3−2i300-222i32i3−2i3−2i3-1-1-221224-40000000010−i3i3001-1-1−i3−i3i3i3000-22-22002i3−2i300000000000000000001-100000−i3i3000000000000000000
χ7644-4-4-24-24-2-22-422-420-21-22i3−2i300-222i32i3−2i3−2i3-1-1-22122-440000000010−i3i3001-1-1−i3−i3i3i30002-22-200−2i32i30000000000000000000-1100000i3−i3000000000000000000
χ7744-4-4-2-24-2-24-422-42201-2-2−2i32i3001-1i3i3−i3−i322-22-22-100004i−4i2323−23−2310−2i32i3001-1-1i3i3−i3−i30000000000000−2i2i−2i2i−3−333ii−i−i00000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).