Finite Group Databasebeta

← Group #13170747

Character table — Group #13170747

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order12223336666666664444333466666666612121212121212122244121212121212121236661212121212121212122446666661212121212121212121212121212121212122244446666612121212122446612121212121212122264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-1111111111-1-1-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1111111-111-1-1-111-1-1-1-1-111-1-11111-1-111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-11-1-11111-1-1-111-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11-1-111-111-1-11-1111-1-1-1-1-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-111-111-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-11-11111-1-1-1-1-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1111111-11
χ121111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1111111-1-1-1-11111-1-1-1-111-111-1-1-111-1-1-111-1-11111-1-111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-11-1-1111-1111-1-1-1-1-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-11-1-111-111-1-111-1-1-111-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-1-1-1-1-111111111111-1-1111-1-111-1-1-111-1-11111-1-1-1-1-11
χ17222222-1-1222-122-1200002-1-12-1-1-12-122-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12202222-1-100222200-1-100000000000022-1-1-1-1-1-1-1-1-1-12000000-1-1000000-10
χ18222222-1-1222-122-1200002-1-12-1-1-12-122-1-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-202222-1-100-2-2-2-20011000000000000-2-2-1-1-1-1-111111-20000001100000010
χ19222222-1-1222-122-1200002-1-12-1-1-12-122-1-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-220-2-2-2-21100222200-1-1000000000000-2-211111-1-1-1-1-1-20000001100000010
χ20222222-1-1222-122-1200002-1-12-1-1-12-122-1-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-21100-2-2-2-200110000000000002211111111112000000-1-1000000-10
χ21222222-1-1222-122-1200002-1-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2222200000000-1-1-1-1111111111-2-2022-2-2-1-100-2-22200-1-1000000000000221-1-1111-1-111-2000000-1-100000010
χ22222222-1-1222-122-1200002-1-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-1111111111-22022-2-2-1-10022-2-20011000000000000-2-21-1-111-111-1-1200000011000000-10
χ23222222-1-1222-122-1200002-1-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-11111111112-20-2-2221100-2-22200-1-1000000000000-2-2-111-1-11-1-111200000011000000-10
χ24222222-1-1222-122-1200002-1-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111220-2-222110022-2-2001100000000000022-111-1-1-111-1-1-2000000-1-100000010
χ2522222-12222-12-1-1222222-1-122-122-12-1-1-1-122-1-1-1-1-1-10022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-102200000022-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000000002-1-1-1-1020-1-1-1-10000000000
χ2622222-12222-12-1-1222222-1-122-122-12-1-1-1-122-1-1-1-1-1-100-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-22000000221111-1-1-2-2-1-1-1-1-1-1-1-1-2-2000000000-211110-2011110000000000
χ2722222-12222-12-1-1222222-1-12-2-122-12-1-1-1-1-2-21111110022-1-1-1-12222-1-1-1-1-2-2-21111110-2-2000000-2-211-1-11122-1-1-1-1111122000000000-2-1-1110-20-1-1110000000000
χ2822222-12222-12-1-1222222-1-12-2-122-12-1-1-1-1-2-211111100-2-2-1-1-1-12222-1-1-1-1-2-2-211111102-2000000-2-2-1-11111-2-2-1-1-1-11111-2-2000000000211-1-102011-1-10000000000
χ2922222-12222-12-1-122-2-2-2-2-1-122-122-12-1-1-1-122-1-1-1-1-1-100221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-102-2000000-2-2-1-1-1-1112211111111-2-20000000002-1-1-1-10-2011110000000000
χ3022222-12222-12-1-122-2-2-2-2-1-122-122-12-1-1-1-122-1-1-1-1-1-100-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-2000000-2-2111111-2-21111111122000000000-21111020-1-1-1-10000000000
χ3122222-12222-12-1-122-2-2-2-2-1-12-2-122-12-1-1-1-1-2-211111100221111-2-2-2-2-1-1-1-1-2-2-21111110-220000002211-1-1-1-1221111-1-1-1-1-2-2000000000-2-1-11102011-1-10000000000
χ3222222-12222-12-1-122-2-2-2-2-1-12-2-122-12-1-1-1-1-2-211111100-2-21111-2-2-2-2-1-1-1-1-2-2-211111102200000022-1-111-1-1-2-21111-1-1-1-122000000000211-1-10-20-1-1110000000000
χ332222-1222-1-122222-12222-12-122-1-1-1-1-1-122-1-122-1-1-1-122002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1202-1-1-1-122-1-100002200-1-1-1-1-1-1-1-10022002-1-1-1-100000002000000-1-1-1-10000
χ342222-1222-1-122222-12222-12-122-1-1-1-1-1-122-1-122-1-1-1-1-2-2002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2021111-2-2-1-100002200-1-1-1-1-1-1-1-100-2-200-211110000000-200000011110000
χ352222-1222-1-122222-12222-12-1-22-1-1-1-1-1-12211-2-2111122002222-1-1-1-1-1-1-1-1-211-2-21111-20-2-1-11122110000-2-200-1-1-1-11111002200-2-1-1110000000-2000000-1-1110000
χ362222-1222-1-122222-12222-12-1-22-1-1-1-1-1-12211-2-21111-2-2002222-1-1-1-1-1-1-1-1-211-2-2111120-211-1-1-2-2110000-2-200-1-1-1-1111100-2-200211-1-10000000200000011-1-10000
χ372222-1222-1-122222-1-2-2-2-2-12-122-1-1-1-1-1-122-1-122-1-1-1-12200-2-2-2-21111-1-1-1-12-1-122-1-1-1-120-2-1-1-1-122110000-2-2001111111100-2-2002-1-1-1-10000000-200000011110000
χ382222-1222-1-122222-1-2-2-2-2-12-122-1-1-1-1-1-122-1-122-1-1-1-1-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-21111-2-2110000-2-20011111111002200-2111100000002000000-1-1-1-10000
χ392222-1222-1-122222-1-2-2-2-2-12-1-22-1-1-1-1-1-12211-2-211112200-2-2-2-21111-1-1-1-1-211-2-21111-202-1-11122-1-1000022001111-1-1-1-100-2-200-2-1-1110000000200000011-1-10000
χ402222-1222-1-122222-1-2-2-2-2-12-1-22-1-1-1-1-1-12211-2-21111-2-200-2-2-2-21111-1-1-1-1-211-2-2111120211-1-1-2-2-1-1000022001111-1-1-1-1002200211-1-10000000-2000000-1-1110000
χ4122-2-2222-22-222-2-2-2-22i2i−2i−2i2220-2-2-222-2-2-22000000002-2002i2i−2i−2i2i2i−2i−2i2-2-220000000000002-2002-200000000002i2i−2i−2i0000002i−2i0002-200000000000000002i−2i000000
χ4222-2-2222-22-222-2-2-2-22i2i−2i−2i2220-2-2-222-2-2-2200000000-22002i2i−2i−2i2i2i−2i−2i2-2-22000000000000-2200-2200000000002i2i−2i−2i000000−2i2i000-220000000000000000−2i2i000000
χ4322-2-2222-22-222-2-2-2-2−2i−2i2i2i2220-2-2-222-2-2-22000000002-200−2i−2i2i2i−2i−2i2i2i2-2-220000000000002-2002-20000000000−2i−2i2i2i000000−2i2i0002-20000000000000000−2i2i000000
χ4422-2-2222-22-222-2-2-2-2−2i−2i2i2i2220-2-2-222-2-2-2200000000-2200−2i−2i2i2i−2i−2i2i2i2-2-22000000000000-2200-220000000000−2i−2i2i2i0000002i−2i000-2200000000000000002i−2i000000
χ4522-2-2-122-2-1122-2-2-212i2i−2i−2i-12-10-211-1-111-22−i3i300−i3−i3i3i32-2002i2i−2i−2i−i−iii-111-10−i3i300−i3−i3i3i3000-11−i3i32-23−300000000−i−iii33−3−3002i−2i000-11−i3i300000000000000−ii3−30000
χ4622-2-2-122-2-1122-2-2-212i2i−2i−2i-12-10-211-1-111-22−i3i300−i3−i3i3i3-22002i2i−2i−2i−i−iii-111-10−i3i300−i3−i3i3i30001-1i3−i3-223−300000000−i−iii33−3−300−2i2i0001-1i3−i300000000000000i−i−330000
χ4722-2-2-122-2-1122-2-2-212i2i−2i−2i-12-10-211-1-111-22i3−i300i3i3−i3−i32-2002i2i−2i−2i−i−iii-111-10i3−i300i3i3−i3−i3000-11i3−i32-2−3300000000−i−iii−3−333002i−2i000-11i3−i300000000000000−ii−330000
χ4822-2-2-122-2-1122-2-2-212i2i−2i−2i-12-10-211-1-111-22i3−i300i3i3−i3−i3-22002i2i−2i−2i−i−iii-111-10i3−i300i3i3−i3−i30001-1−i3i3-22−3300000000−i−iii−3−33300−2i2i0001-1−i3i300000000000000i−i3−30000
χ4922-2-2-122-2-1122-2-2-21−2i−2i2i2i-12-10-211-1-111-22−i3i300−i3−i3i3i32-200−2i−2i2i2iii−i−i-111-10−i3i300−i3−i3i3i3000-11−i3i32-2−3300000000ii−i−i−3−33300−2i2i000-11−i3i300000000000000i−i−330000
χ5022-2-2-122-2-1122-2-2-21−2i−2i2i2i-12-10-211-1-111-22−i3i300−i3−i3i3i3-2200−2i−2i2i2iii−i−i-111-10−i3i300−i3−i3i3i30001-1i3−i3-22−3300000000ii−i−i−3−333002i−2i0001-1i3−i300000000000000−ii3−30000
χ5122-2-2-122-2-1122-2-2-21−2i−2i2i2i-12-10-211-1-111-22i3−i300i3i3−i3−i32-200−2i−2i2i2iii−i−i-111-10i3−i300i3i3−i3−i3000-11i3−i32-23−300000000ii−i−i33−3−300−2i2i000-11i3−i300000000000000i−i3−30000
χ5222-2-2-122-2-1122-2-2-21−2i−2i2i2i-12-10-211-1-111-22i3−i300i3i3−i3−i3-2200−2i−2i2i2iii−i−i-111-10i3−i300i3i3−i3−i30001-1−i3i3-223−300000000ii−i−i33−3−3002i−2i0001-1−i3i300000000000000−ii−330000
χ532-22-22222-22-2-2-22-2-22i−2i2i−2i222022-2-2-22-2-2-20000000000002i−2i2i−2i2i−2i2i−2i22-2-200000000000000000000000000002i−2i2i−2i000000002i−2i000000000000000002i−2i00002-200
χ542-22-22222-22-2-2-22-2-22i−2i2i−2i222022-2-2-22-2-2-20000000000002i−2i2i−2i2i−2i2i−2i22-2-200000000000000000000000000002i−2i2i−2i00000000−2i2i00000000000000000−2i2i0000-2200
χ552-22-22222-22-2-2-22-2-2−2i2i−2i2i222022-2-2-22-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i22-2-20000000000000000000000000000−2i2i−2i2i000000002i−2i000000000000000002i−2i0000-2200
χ562-22-22222-22-2-2-22-2-2−2i2i−2i2i222022-2-2-22-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i22-2-20000000000000000000000000000−2i2i−2i2i00000000−2i2i00000000000000000−2i2i00002-200
χ572-2-22222-2-2-2-2-22-2222-2-222220-2-22-2-2-222-200000000002-22-2-222-2-222-22-200000000000000000000002-2002-22-2-2200002-200000000002-2000002-2000000000000
χ582-2-22222-2-2-2-2-22-2222-2-222220-2-22-2-2-222-20000000000-222-2-222-2-222-22-20000000000000000000000-2200-222-2-220000-220000000000-2200000-22000000000000
χ592-2-22222-2-2-2-2-22-222-222-22220-2-22-2-2-222-200000000002-2-222-2-222-22-22-200000000000000000000002-2002-2-222-20000-2200000000002-200000-22000000000000
χ602-2-22222-2-2-2-2-22-222-222-22220-2-22-2-2-222-20000000000-22-222-2-222-22-22-20000000000000000000000-2200-22-222-200002-20000000000-22000002-2000000000000
χ612-2-222-12-2-2-21-2-11222-2-22-1-1201-221-21-1-11003−33−33−3002-2-111-12-2-22-11-110003−33−33−3000000000003−3-113−32-2-111-13−33−32-20000000000-113−3000-113−30000000000
χ622-2-222-12-2-2-21-2-11222-2-22-1-1201-221-21-1-11003−33−33−300-22-111-12-2-22-11-110003−33−33−300000000000−331-13−3-22-111-13−33−3-2200000000001-1−330001-1−330000000000
χ632-2-222-12-2-2-21-2-11222-2-22-1-1201-221-21-1-1100−33−33−33002-2-111-12-2-22-11-11000−33−33−3300000000000−33-11−332-2-111-1−33−332-20000000000-11−33000-11−330000000000
χ642-2-222-12-2-2-21-2-11222-2-22-1-1201-221-21-1-1100−33−33−3300-22-111-12-2-22-11-11000−33−33−33000000000003−31-1−33-22-111-1−33−33-2200000000001-13−30001-13−30000000000
χ652-2-222-12-2-2-21-2-1122-222-2-1-1201-221-21-1-11003−33−33−3002-21-1-11-222-2-11-110003−33−33−3000000000003−3-11−332-21-1-11−33−33-220000000000-113−30001-1−330000000000
χ662-2-222-12-2-2-21-2-1122-222-2-1-1201-221-21-1-11003−33−33−300-221-1-11-222-2-11-110003−33−33−300000000000−331-1−33-221-1-11−33−332-200000000001-1−33000-113−30000000000
χ672-2-222-12-2-2-21-2-1122-222-2-1-1201-221-21-1-1100−33−33−33002-21-1-11-222-2-11-11000−33−33−3300000000000−33-113−32-21-1-113−33−3-220000000000-11−330001-13−30000000000
χ682-2-222-12-2-2-21-2-1122-222-2-1-1201-221-21-1-1100−33−33−3300-221-1-11-222-2-11-11000−33−33−33000000000003−31-13−3-221-1-113−33−32-200000000001-13−3000-11−330000000000
χ6944444-2-2-244-2-2-2-2-240000-21-241-2-2-2-2-2-21144-2-2-2-2-2-20044000000001111-2-2-211111104000000000-2-2-2-200-2-20000000000000000000-2111100000000000000000
χ7044444-2-2-244-2-2-2-2-240000-21-241-2-2-2-2-2-21144-2-2-2-2-2-200-4-4000000001111-2-2-21111110-40000000002222002200000000000000000002-1-1-1-100000000000000000
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χ994-44-4-2-2442-22-42-2-424i−4i4i−4i1-2-20-2-22-121-12200003i−3i−3i3i0000−2i2i−2i2i−2i2i−2i2i11-1-1000003i−3i−3i3i0000000000000000000i−ii−i-333-3000000000000000000000000000000000
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χ1014-44-4-2-2442-22-42-2-42−4i4i−4i4i1-2-20-2-22-121-12200003i−3i−3i3i00002i−2i2i−2i2i−2i2i−2i11-1-1000003i−3i−3i3i0000000000000000000−ii−ii3-3-33000000000000000000000000000000000
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χ1114-4-44-2-24-4222-4-224-24-4-441-2-2022-2-12-11-220023−23−33−330000-222-2-222-21-11-100023−23−33−3300000000000000023−23001-1-11−33−33000000000000000000000000000000000
χ1124-4-44-2-24-4222-4-224-24-4-441-2-2022-2-12-11-2200−23233−33−30000-222-2-222-21-11-1000−23233−33−3000000000000000−2323001-1-113−33−3000000000000000000000000000000000
χ1134-4-44-2-24-4222-4-224-2-444-41-2-2022-2-12-11-220023−23−33−3300002-2-222-2-221-11-100023−23−33−33000000000000000−232300-111-13−33−3000000000000000000000000000000000
χ1144-4-44-2-24-4222-4-224-2-444-41-2-2022-2-12-11-2200−23233−33−300002-2-222-2-221-11-1000−23233−33−300000000000000023−2300-111-1−33−33000000000000000000000000000000000
χ1158888-4-4-4-4-4-4-4-4-4-4-4-400002228222222222-4-4-4-42222000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-4-4-4-4-4-4-4-4-40000222-82222222224444-2-2-2-2000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-448-8-4-4444-80000-42-40-244-4-444-22000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ1208-88-88-4-4-4-88444-44-80000-42-402-4444-44-2-20000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-48-4-44-4-84-88440000-4-420-42-24-2-44440000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4-44-4444-4440000222022-2-2-22-2-2-200006i−6i−6i6i000000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4-44-4444-4440000222022-2-2-22-2-2-20000−6i6i6i−6i000000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-48-4444-848-8-4-40000-4-4204-224-24-4-44000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-444444-44-4-400002220-2-22-2-2-222-200−434323−2323−23000000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000000

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