Finite Group Databasebeta

← Group #13169175

Character table — Group #13169175

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212444412121212366612121212121212121224441212121212121212121212121212121212121212121222666612121212121212122244466666612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-11-111111111111-1-1111111111111-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111-1111111-1-1-1-1-1-1111111111111-1-111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-111111111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1111-1-1-1-11-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-11-1-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-111-1-11-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11-11111-1-1-111-1-11111-1-1-11-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-11111-11-111-1-111-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-11-11-1-1-1-11111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11-11-11-1-1-1-11111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11-11111-1-111-11-111-1-111-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-111-1-111-1-1-1-11111111111-11-1-1-1-111-111-1-11111-1-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-111-1-111-1-11-11-11
χ17222222-12-1-1222-122-1-122-12-1-12-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10202-1-12222-1-1-1-10022-1-1-1-1-1-1-1-12200000200-1-1-1-12000000-1-1-1-100000
χ18222222-12-1-1222-122-1-122-12-1-12-1-12-1-1-122-1-1-1-122-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-10-202-1-122-2-211110022-1-1-1-1-1-1-1-1-2-200000-2001111-2000000111100000
χ19222222-12-1-1222-122-1-122-12-1-12-1-12-1-1-122-1-1-1-1-2-2221111-1-1-1-1222-1-1-1-1-1-1020-211-2-222-1-1-1-100-2-211111111-2-200000200-1-1-1-1-2000000111100000
χ20222222-12-1-1222-122-1-122-12-1-12-1-12-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-20-211-2-2-2-2111100-2-2111111112200000-20011112000000-1-1-1-100000
χ21222222-12-1-1222-122-1-12-2-12-1-12-1-12-111-2-211112222-1-1-1-1-1-1-1-1-2-2-21111110-20-2112222-1-11100-2-2-1-1-1-111112200000-200-1-111-2000000-1-11100000
χ22222222-12-1-1222-122-1-12-2-12-1-12-1-12-111-2-2111122-2-2-1-1-1-1-1-1-1-1-2-2-2111111020-21122-2-211-1-100-2-2-1-1-1-11111-2-20000020011-1-1200000011-1-100000
χ23222222-12-1-1222-122-1-12-2-12-1-12-1-12-111-2-21111-2-2221111-1-1-1-1-2-2-21111110-202-1-1-2-222-1-11100221111-1-1-1-1-2-200000-200-1-111200000011-1-100000
χ24222222-12-1-1222-122-1-12-2-12-1-12-1-12-111-2-21111-2-2-2-21111-1-1-1-1-2-2-21111110202-1-1-2-2-2-211-1-100221111-1-1-1-1220000020011-1-1-2000000-1-11100000
χ2522222-12-1222-1-12222-1-12-1-12-1-122-1-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-122200000-1-12222-1-10000000000002-1-1-12-1-1-1-1-1-1-102002-1-10000-10000
χ2622222-12-1222-1-12222-1-12-1-12-1-122-1-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-200000-1-1222211000000000000-2111-2-111-1-1-1-10-200-211000010000
χ2722222-12-1222-1-12222-1-12-1-12-1-122-1-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-220000011-2-2-2-2-1-10000000000002-1-1-121-1-111110-200-211000010000
χ2822222-12-1222-1-12222-1-12-1-12-1-122-1-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000011-2-2-2-211000000000000-2111-2111111102002-1-10000-10000
χ2922222-12-1222-1-12222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200220000-1-1-1-11111111112-2-200000-1-122-2-2110000000000002-1-1-1-2111-1-1110-2002110000-10000
χ3022222-12-1222-1-12222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200220000-1-1-1-1111111111-2-2200000-1-122-2-2-1-1000000000000-211121-1-1-1-1110200-2-1-1000010000
χ3122222-12-1222-1-12222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-111111111122-20000011-2-222110000000000002-1-1-1-2-11111-1-10200-2-1-1000010000
χ3222222-12-1222-1-12222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111-2220000011-2-222-1-1000000000000-21112-1-1-111-1-10-2002110000-10000
χ332222-122222-1222-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-122002222-1-1-1-12-1-122-1-1-1-1202222-1-100000022-1-1-1-1-1-1-1-1-1-100-12-1-1-10-1-10000002200000000-1-100
χ342222-122222-1222-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-122002222-1-1-1-12-1-122-1-1-1-1-20-2222-1-1000000-2-2-1-1-1-1-1-1-1-1-1-1001-2111011000000-2-2000000001100
χ352222-122222-1222-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-1202-2-2-21100000022111111111100-12-1-1-10-1-1000000-2-2000000001100
χ362222-122222-1222-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20-2-2-2-211000000-2-21111111111001-21110110000002200000000-1-100
χ372222-122222-1222-1-1-12-1-22-1-12-1-1-1-12-2-211111122002222-1-1-1-1-211-2-2111120-2-2-2-2-1-1000000-2-211-1-1-1-1111100-12-1-11011000000-22000000001-100
χ382222-122222-1222-1-1-12-1-22-1-12-1-1-1-12-2-211111122002222-1-1-1-1-211-2-21111-202-2-2-2-1-10000002211-1-1-1-11111001-211-10-1-10000002-200000000-1100
χ392222-122222-1222-1-1-12-1-22-1-12-1-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-211-2-2111120-222211000000-2-2-1-11111-1-1-1-100-12-1-110110000002-200000000-1100
χ402222-122222-1222-1-1-12-1-22-1-12-1-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-211-2-21111-2022221100000022-1-11111-1-1-1-1001-211-10-1-1000000-22000000001-100
χ4122-2-222222-2-2-2-2-22-22220-2-2222-2-2-2-2000000002i−2i2i−2i2i2i−2i−2i2-2-220000000000000002i−2i2i−2i2i−2i0000002i2i−2i−2i00002-2000000002i−2i0000000002-20000000
χ4222-2-222222-2-2-2-2-22-22220-2-2222-2-2-2-2000000002i−2i−2i2i2i2i−2i−2i2-2-220000000000000002i−2i−2i2i−2i2i0000002i2i−2i−2i0000-2200000000−2i2i000000000-220000000
χ4322-2-222222-2-2-2-2-22-22220-2-2222-2-2-2-200000000−2i2i2i−2i−2i−2i2i2i2-2-22000000000000000−2i2i2i−2i2i−2i000000−2i−2i2i2i0000-22000000002i−2i000000000-220000000
χ4422-2-222222-2-2-2-2-22-22220-2-2222-2-2-2-200000000−2i2i−2i2i−2i−2i2i2i2-2-22000000000000000−2i2i−2i2i−2i2i000000−2i−2i2i2i00002-200000000−2i2i0000000002-20000000
χ4522-2-222-12-11-2-2-212-2-1-1201-2-1-1211-21−i3i300−i3−i3i3i32i−2i2i−2i−i−iii-111-1000−i3i3−i3−i3i3i300003−32i−2i2i−2i−ii3−30000−i−iii33−3−32-200000000−ii3−30000000-11−i3i300000
χ4622-2-222-12-11-2-2-212-2-1-1201-2-1-1211-21−i3i300−i3−i3i3i32i−2i−2i2i−i−iii-111-1000−i3i3−i3−i3i3i300003−32i−2i−2i2ii−i−330000−i−iii33−3−3-2200000000i−i−3300000001-1i3−i300000
χ4722-2-222-12-11-2-2-212-2-1-1201-2-1-1211-21−i3i300−i3−i3i3i3−2i2i2i−2iii−i−i-111-1000−i3i3−i3−i3i3i30000−33−2i2i2i−2i−ii3−30000ii−i−i−3−333-2200000000−ii3−300000001-1i3−i300000
χ4822-2-222-12-11-2-2-212-2-1-1201-2-1-1211-21−i3i300−i3−i3i3i3−2i2i−2i2iii−i−i-111-1000−i3i3−i3−i3i3i30000−33−2i2i−2i2ii−i−330000ii−i−i−3−3332-200000000i−i−330000000-11−i3i300000
χ4922-2-222-12-11-2-2-212-2-1-1201-2-1-1211-21i3−i300i3i3−i3−i32i−2i2i−2i−i−iii-111-1000i3−i3i3i3−i3−i30000−332i−2i2i−2i−ii−330000−i−iii−3−3332-200000000−ii−330000000-11i3−i300000
χ5022-2-222-12-11-2-2-212-2-1-1201-2-1-1211-21i3−i300i3i3−i3−i32i−2i−2i2i−i−iii-111-1000i3−i3i3i3−i3−i30000−332i−2i−2i2ii−i3−30000−i−iii−3−333-2200000000i−i3−300000001-1−i3i300000
χ5122-2-222-12-11-2-2-212-2-1-1201-2-1-1211-21i3−i300i3i3−i3−i3−2i2i2i−2iii−i−i-111-1000i3−i3i3i3−i3−i300003−3−2i2i2i−2i−ii−330000ii−i−i33−3−3-2200000000−ii−3300000001-1−i3i300000
χ5222-2-222-12-11-2-2-212-2-1-1201-2-1-1211-21i3−i300i3i3−i3−i3−2i2i−2i2iii−i−i-111-1000i3−i3i3i3−i3−i300003−3−2i2i−2i2ii−i3−30000ii−i−i33−3−32-200000000i−i3−30000000-11i3−i300000
χ5344444-2-2-2-2-24-2-2-244-21-241-2-21-2-2-2-21-2-244-2-2-2-2004400001111-2-2-211111104000000-2-2-2-2-2-20000000000000000000-20011110000000000000000
χ5444444-2-2-2-2-24-2-2-244-21-241-2-21-2-2-2-21-2-244-2-2-2-200-4-400001111-2-2-21111110-40000002222220000000000000000000200-1-1-1-10000000000000000
χ5544444-2-2-2-2-24-2-2-244-21-2-41-2-21-2-2-2-2122-4-42222004400001111222-1-1-1-1-1-10-4000000-2-2-2-222000000000000000000020011-1-10000000000000000
χ5644444-2-2-2-2-24-2-2-244-21-2-41-2-21-2-2-2-2122-4-4222200-4-400001111222-1-1-1-1-1-1040000002222-2-20000000000000000000-200-1-1110000000000000000
χ574444-24-24-2-2-244-2-2-21-2-24-2-21-2-211-2-2-2-2-2-211114400-2-2-2-211114-2-2-2-211110004-2-2-2-200000000-2-211111111000000000000000000000000000000
χ584444-24-24-2-2-244-2-2-21-2-24-2-21-2-211-2-2-2-2-2-21111-4-400222211114-2-2-2-21111000-422220000000022-1-1-1-1-1-1-1-1000000000000000000000000000000
χ594444-24-24-2-2-244-2-2-21-2-2-4-2-21-2-211-2-22222-1-1-1-14400-2-2-2-21111-42222-1-1-1-1000-422-2-200000000221111-1-1-1-1000000000000000000000000000000
χ604444-24-24-2-2-244-2-2-21-2-2-4-2-21-2-211-2-22222-1-1-1-1-4-40022221111-42222-1-1-1-10004-2-22200000000-2-2-1-1-1-11111000000000000000000000000000000
χ614444-2-24-244-2-2-24-2-2-2-214-21-2-21-2-21-244-2-2-2-2-2-2000000001111-211-2-2111140400000000000-2-2000000000000-2-211-201100000000000000000000
χ624444-2-24-244-2-2-24-2-2-2-214-21-2-21-2-21-244-2-2-2-2-2-2000000001111-211-2-21111-40-4000000000002200000000000022-1-120-1-100000000000000000000
χ634444-2-24-244-2-2-24-2-2-2-21-4-21-2-21-2-21-2-4-42222220000000011112-1-122-1-1-1-140-40000000000022000000000000-2-21120-1-100000000000000000000
χ644444-2-24-244-2-2-24-2-2-2-21-4-21-2-21-2-21-2-4-42222220000000011112-1-122-1-1-1-1-40400000000000-2-200000000000022-1-1-201100000000000000000000
χ6544-4-44-24-24-4-422-44-44-2-20224-2-2-4-42200000000004i−4i0000-222-200000000000000000−2i2i4i−4i000000000000000000000000−2i2i000000000000000000
χ6644-4-44-24-24-4-422-44-44-2-20224-2-2-4-4220000000000−4i4i0000-222-2000000000000000002i−2i−4i4i0000000000000000000000002i−2i000000000000000000
χ6744-4-44-2-2-2-22-42224-4-21-20-12-21-2222-1−2i32i300−2i3−2i32i32i3004i−4i00001-1-11000i3−i3i3i3−i3−i300000000−2i2i−2i2i23−230000000000000000000000i−i−330000000000000000
χ6844-4-44-2-2-2-22-42224-4-21-20-12-21-2222-1−2i32i300−2i3−2i32i32i300−4i4i00001-1-11000i3−i3i3i3−i3−i3000000002i−2i2i−2i−23230000000000000000000000−ii3−30000000000000000
χ6944-4-44-2-2-2-22-42224-4-21-20-12-21-2222-12i3−2i3002i32i3−2i3−2i3004i−4i00001-1-11000−i3i3−i3−i3i3i300000000−2i2i−2i2i−23230000000000000000000000i−i3−30000000000000000
χ7044-4-44-2-2-2-22-42224-4-21-20-12-21-2222-12i3−2i3002i32i3−2i3−2i300−4i4i00001-1-11000−i3i3−i3−i3i3i3000000002i−2i2i−2i23−230000000000000000000000−ii−330000000000000000
χ7144-4-4-24444-42-4-4-4-22-24-20-42-24-2222-4000000004i−4i004i4i−4i−4i-222-2000000000000000−2i2i0000000000−2i−2i2i2i0000000000000000000000000000000000
χ7244-4-4-24444-42-4-4-4-22-24-20-42-24-2222-400000000−4i4i00−4i−4i4i4i-222-20000000000000002i−2i00000000002i2i−2i−2i0000000000000000000000000000000000
χ7344-4-4-24-24-222-4-42-221-2-20221-2-2-1-122−2i32i300i3i3−i3−i34i−4i00−2i−2i2i2i1-1-11000−2i32i3i3i3−i3−i3000023−23−2i2i0000000000ii−i−i−3−333000000000000000000000000000000
χ7444-4-4-24-24-222-4-42-221-2-20221-2-2-1-122−2i32i300i3i3−i3−i3−4i4i002i2i−2i−2i1-1-11000−2i32i3i3i3−i3−i30000−23232i−2i0000000000−i−iii33−3−3000000000000000000000000000000
χ7544-4-4-24-24-222-4-42-221-2-20221-2-2-1-1222i3−2i300−i3−i3i3i34i−4i00−2i−2i2i2i1-1-110002i3−2i3−i3−i3i3i30000−2323−2i2i0000000000ii−i−i33−3−3000000000000000000000000000000
χ7644-4-4-24-24-222-4-42-221-2-20221-2-2-1-1222i3−2i300−i3−i3i3i3−4i4i002i2i−2i−2i1-1-110002i3−2i3−i3−i3i3i3000023−232i−2i0000000000−i−iii−3−333000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).