Finite Group Databasebeta

← Group #13169246

Character table — Group #13169246

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121244444412121212366612121212121212121244412121212121212121212121212121212121212121212224412121212121212121212121222446666121244612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111111111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-111111-1-1-1-1-1-1111111111111-1-1-1-111-111111-1-1-1-1-11-11-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-11111-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-11-11-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111111-1-1-1-11-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111111111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1111-1-111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-11111-1-1-1-111-1-1-11-1111-1-111-1-1-111-111-1-1-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1111-111-1-111-1-111-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-11111-1-11-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1111-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-111-1-11-111-1-111-1-1-1-1-1111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11-11-1-1-111-1-111-111-111-1-1-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-111-1-1-1111-1-11111-11-1-1
χ17222222-1-1-12222-1222-1-122-1-1-12-1-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1020-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1220000200000-1-1-1-12000-1-1-1-100000000
χ18222222-1-1-12222-1222-1-122-1-1-12-1-12-1-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-10-20-1-122-2-211112200-1-1-1-1-1-1-1-1-2-20000-2000001111-2000111100000000
χ19222222-1-1-12222-1222-1-122-1-1-12-1-12-1-1-122-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-102011-2-222-1-1-1-1-2-20011111111-2-20000200000-1-1-1-1-2000111100000000
χ20222222-1-1-12222-1222-1-122-1-1-12-1-12-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-2011-2-2-2-21111-2-20011111111220000-20000011112000-1-1-1-100000000
χ21222222-1-1-12222-1222-1-1-22-1-1-12-1-12-111-2-2111122-2-2221111-1-1-1-1-211-2-211110-20-1-1-2-222-1-1112200-1-1-1-11111220000-200000-1-111-2000-1-11100000000
χ22222222-1-1-12222-1222-1-1-22-1-1-12-1-12-111-2-2111122-2-2-2-21111-1-1-1-1-211-2-21111020-1-1-2-2-2-211-1-12200-1-1-1-11111-2-2000020000011-1-1200011-1-100000000
χ23222222-1-1-12222-1222-1-1-22-1-1-12-1-12-111-2-21111-2-22222-1-1-1-1-1-1-1-1-211-2-211110-20112222-1-111-2-2001111-1-1-1-1-2-20000-200000-1-111200011-1-100000000
χ24222222-1-1-12222-1222-1-1-22-1-1-12-1-12-111-2-21111-2-222-2-2-1-1-1-1-1-1-1-1-211-2-211110201122-2-211-1-1-2-2001111-1-1-1-122000020000011-1-1-2000-1-11100000000
χ2522222-1222-1-1222-12-12-12-122-1-1-1-1-1222-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-120222-1-1000000-1-122-1-1-1-1-1-1-1-10000-1-102-1-1-1-10000020200000000-1-100
χ2622222-1222-1-1222-12-12-12-122-1-1-1-1-1222-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1-20-222-1-1000000-1-1-2-2-1-1-1-1-1-1-1-10000110-2111100000-20-2000000001100
χ2722222-1222-1-1222-12-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1202-2-2110000001122111111110000-1-102-1-1-1-100000-20-2000000001100
χ2822222-1222-1-1222-12-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-2-2-21100000011-2-2111111110000110-211110000020200000000-1-100
χ2922222-1222-1-1222-12-12-1-2-122-1-1-1-1-12-2-211111122-2-200-2-2-2-2-1-1-1-1-2-2-211111120-22211000000-1-122-1-1-1-111110000-110-211-1-100000-202000000001-100
χ3022222-1222-1-1222-12-12-1-2-122-1-1-1-1-12-2-211111122-2-200-2-2-2-2-1-1-1-1-2-2-2111111-2022211000000-1-1-2-2-1-1-1-1111100001-102-1-1110000020-200000000-1100
χ3122222-1222-1-1222-12-12-1-2-122-1-1-1-1-12-2-2111111-2-222002222-1-1-1-1-2-2-211111120-2-2-2-1-100000011221111-1-1-1-10000-110-211-1-10000020-200000000-1100
χ3222222-1222-1-1222-12-12-1-2-122-1-1-1-1-12-2-2111111-2-222002222-1-1-1-1-2-2-2111111-202-2-2-1-100000011-2-21111-1-1-1-100001-102-1-11100000-202000000001-100
χ332222-1222222-1-122-1-1-122-1-1-12-122-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-12220000-1-1222200-1-100000000002222-1-1-1-1-1-1-1-1-1-100200000-1-10000-10
χ342222-1222222-1-122-1-1-122-1-1-12-122-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-20000-1-1222200110000000000-2-2-2-2-111111-1-1-1-100-20000011000010
χ352222-1222222-1-122-1-1-122-1-1-12-122-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-22000011-2-2-2-200-1-10000000000-2-2221-1-1-1-1-1111100-20000011000010
χ362222-1222222-1-122-1-1-122-1-1-12-122-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000011-2-2-2-20011000000000022-2-2111111111100200000-1-10000-10
χ372222-1222222-1-122-1-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-20000-1-122-2-200-1-10000000000222-21111-1-1-1-11100-200000-1-1000010
χ382222-1222222-1-122-1-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-220000-1-122-2-200110000000000-2-2-221-1-1-111-1-11100200000110000-10
χ392222-1222222-1-122-1-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-2000011-2-22200-1-10000000000-2-22-2-1111-1-111-1-100200000110000-10
χ402222-1222222-1-122-1-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-222000011-2-2220011000000000022-22-1-1-1-11111-1-100-200000-1-1000010
χ4122-2-22222-22-2-2-2-2-222220-2-222-2-2-22-2000000002i−2i002i−2i00002-2-220000000000002i−2i002i−2i2i−2i002i−2i002i2i−2i−2i00002-200000000002i−2i0000002-20000000000
χ4222-2-22222-22-2-2-2-2-222220-2-222-2-2-22-2000000002i−2i00−2i2i00002-2-220000000000002i−2i00−2i2i−2i2i002i−2i002i2i−2i−2i0000-220000000000−2i2i000000-220000000000
χ4322-2-22222-22-2-2-2-2-222220-2-222-2-2-22-200000000−2i2i002i−2i00002-2-22000000000000−2i2i002i−2i2i−2i00−2i2i00−2i−2i2i2i0000-2200000000002i−2i000000-220000000000
χ4422-2-22222-22-2-2-2-2-222220-2-222-2-2-22-200000000−2i2i00−2i2i00002-2-22000000000000−2i2i00−2i2i−2i2i00−2i2i00−2i−2i2i2i00002-20000000000−2i2i0000002-20000000000
χ4522-2-222-1-112-2-2-21-222-1-10-21-1-1-21121−i3i300−i3−i3i3i32i−2i002i−2i33−3−3-111-10−i3i300−i3−i3i3i3000−ii002i−2i−ii3−32i−2i00−i−iii33−3−32-20000000000−ii3−30000-11−i3i300000000
χ4622-2-222-1-112-2-2-21-222-1-10-21-1-1-21121−i3i300−i3−i3i3i32i−2i00−2i2i33−3−3-111-10−i3i300−i3−i3i3i3000−ii00−2i2ii−i−332i−2i00−i−iii33−3−3-220000000000i−i−3300001-1i3−i300000000
χ4722-2-222-1-112-2-2-21-222-1-10-21-1-1-21121−i3i300−i3−i3i3i3−2i2i002i−2i−3−333-111-10−i3i300−i3−i3i3i3000i−i002i−2i−ii3−3−2i2i00ii−i−i−3−333-220000000000−ii3−300001-1i3−i300000000
χ4822-2-222-1-112-2-2-21-222-1-10-21-1-1-21121−i3i300−i3−i3i3i3−2i2i00−2i2i−3−333-111-10−i3i300−i3−i3i3i3000i−i00−2i2ii−i−33−2i2i00ii−i−i−3−3332-20000000000i−i−330000-11−i3i300000000
χ4922-2-222-1-112-2-2-21-222-1-10-21-1-1-21121i3−i300i3i3−i3−i32i−2i002i−2i−3−333-111-10i3−i300i3i3−i3−i3000−ii002i−2i−ii−332i−2i00−i−iii−3−3332-20000000000−ii−330000-11i3−i300000000
χ5022-2-222-1-112-2-2-21-222-1-10-21-1-1-21121i3−i300i3i3−i3−i32i−2i00−2i2i−3−333-111-10i3−i300i3i3−i3−i3000−ii00−2i2ii−i3−32i−2i00−i−iii−3−333-220000000000i−i3−300001-1−i3i300000000
χ5122-2-222-1-112-2-2-21-222-1-10-21-1-1-21121i3−i300i3i3−i3−i3−2i2i002i−2i33−3−3-111-10i3−i300i3i3−i3−i3000i−i002i−2i−ii−33−2i2i00ii−i−i33−3−3-220000000000−ii−3300001-1−i3i300000000
χ5222-2-222-1-112-2-2-21-222-1-10-21-1-1-21121i3−i300i3i3−i3−i3−2i2i00−2i2i33−3−3-111-10i3−i300i3i3−i3−i3000i−i00−2i2ii−i3−3−2i2i00ii−i−i33−3−32-20000000000i−i3−30000-11i3−i300000000
χ532-22-2222-22-2-22-2-22-2222022-2-2-22-2-2-200000000002i−2i002i−2i2i−2i22-2-2000000000000002i−2i000000000000002i−2i2i−2i002-2000000000000000000002-22i−2i0000
χ542-22-2222-22-2-22-2-22-2222022-2-2-22-2-2-200000000002i−2i002i−2i2i−2i22-2-2000000000000002i−2i000000000000002i−2i2i−2i00-2200000000000000000000-22−2i2i0000
χ552-22-2222-22-2-22-2-22-2222022-2-2-22-2-2-20000000000−2i2i00−2i2i−2i2i22-2-200000000000000−2i2i00000000000000−2i2i−2i2i002-2000000000000000000002-2−2i2i0000
χ562-22-2222-22-2-22-2-22-2222022-2-2-22-2-2-20000000000−2i2i00−2i2i−2i2i22-2-200000000000000−2i2i00000000000000−2i2i−2i2i00-2200000000000000000000-222i−2i0000
χ5744444-2-2-2-2-2-244-2-24-2-214-2-2-21-211-2-2-2-2-2-21111444400-2-2-2-211114-2-2-2-21111000-2-2-2-2000000-2-2001111111100000000000000000000000000000000
χ5844444-2-2-2-2-2-244-2-24-2-214-2-2-21-211-2-2-2-2-2-21111-4-4-4-400222211114-2-2-2-2111100022220000002200-1-1-1-1-1-1-1-100000000000000000000000000000000
χ5944444-2-2-2-2-2-244-2-24-2-21-4-2-2-21-211-2-22222-1-1-1-144-4-40022221111-42222-1-1-1-1000-2-222000000-2-2001111-1-1-1-100000000000000000000000000000000
χ6044444-2-2-2-2-2-244-2-24-2-21-4-2-2-21-211-2-22222-1-1-1-1-4-44400-2-2-2-21111-42222-1-1-1-100022-2-20000002200-1-1-1-1111100000000000000000000000000000000
χ614444-24-2-2-244-2-2-24-2-21-24-211-2-2-2-2-21-2-244-2-2-2-200004400001111-211-2-211110400000-2-2-2-2-2-2000000000000000000-20000011110000000000000000
χ624444-24-2-2-244-2-2-24-2-21-24-211-2-2-2-2-21-2-244-2-2-2-20000-4-400001111-211-2-211110-400000222222000000000000000000200000-1-1-1-10000000000000000
χ634444-24-2-2-244-2-2-24-2-21-2-4-211-2-2-2-2-2122-4-42222000044000011112-1-122-1-1-1-10-400000-2-2-2-22200000000000000000020000011-1-10000000000000000
χ644444-24-2-2-244-2-2-24-2-21-2-4-211-2-2-2-2-2122-4-422220000-4-4000011112-1-122-1-1-1-104000002222-2-2000000000000000000-200000-1-1110000000000000000
χ654444-2-2444-2-2-2-24-2-21-2-241-2-2-21-2-21-244-2-2-2-2-2-200000000001111-2-2-2111111404000000000000-2-2000000000000-2-20-2111100000000000000000000
χ664444-2-2444-2-2-2-24-2-21-2-241-2-2-21-2-21-244-2-2-2-2-2-200000000001111-2-2-2111111-40-4000000000000220000000000002202-1-1-1-100000000000000000000
χ674444-2-2444-2-2-2-24-2-21-2-2-41-2-2-21-2-21-2-4-422222200000000001111222-1-1-1-1-1-140-4000000000000-2-2000000000000-2202-1-11100000000000000000000
χ684444-2-2444-2-2-2-24-2-21-2-2-41-2-2-21-2-21-2-4-422222200000000001111222-1-1-1-1-1-1-404000000000000220000000000002-20-211-1-100000000000000000000
χ6944-4-44-244-4-22-4-4-424-24-202-44-2222-2-4000000004i−4i00000000-222-20000000000004i−4i00000000−2i2i00−2i−2i2i2i000000000000000000000000000000000000
χ7044-4-44-244-4-22-4-4-424-24-202-44-2222-2-400000000−4i4i00000000-222-2000000000000−4i4i000000002i−2i002i2i−2i−2i000000000000000000000000000000000000
χ7144-4-44-2-2-22-22-4-4224-2-21022-212-1-1-22−2i32i300i3i3−i3−i34i−4i00002323−23−231-1-110−2i32i300i3i3−i3−i3000−2i2i00000000−2i2i00ii−i−i−3−33300000000000000000000000000000000
χ7244-4-44-2-2-22-22-4-4224-2-21022-212-1-1-22−2i32i300i3i3−i3−i3−4i4i0000−23−2323231-1-110−2i32i300i3i3−i3−i30002i−2i000000002i−2i00−i−iii33−3−300000000000000000000000000000000
χ7344-4-44-2-2-22-22-4-4224-2-21022-212-1-1-222i3−2i300−i3−i3i3i34i−4i0000−23−2323231-1-1102i3−2i300−i3−i3i3i3000−2i2i00000000−2i2i00ii−i−i33−3−300000000000000000000000000000000
χ7444-4-44-2-2-22-22-4-4224-2-21022-212-1-1-222i3−2i300−i3−i3i3i3−4i4i00002323−23−231-1-1102i3−2i300−i3−i3i3i30002i−2i000000002i−2i00−i−iii−3−33300000000000000000000000000000000
χ7544-4-4-2444-44-422-4-4-2-2-24022-242-4-4-220000000000004i−4i0000-222-20000000000000000−2i2i4i−4i00000000000000000000000000−2i2i000000000000000000
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Here i is the imaginary unit (i² = −1).