Finite Group Databasebeta

← Group #13169314

Character table — Group #13169314

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order12223334466666666633366666666612121212121236661212121212121212121244442244446612121212121222444444441212121266666661212121212121212121212121266121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-11111111111-1-111-1-1-1-1-1-11111-11-111-1-111-11-11111-1-111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-11-1-111-1-11-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111111-111-1111-1-111-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11-111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-11-1111-1-111-1-111-1-1-1-111-1-111-1-1-1-11-11-1-1111-1111-1-1111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-1111111-1-1-1-1-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-111-1-1-1-11111-1-111111111111-1-1-11-1-1-111-1-1-1-1-1-111-1-111-1-1-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-1111-1-1-1-11111-1-1-1-1-1-1111111-11-111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1111-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11-1-1-11111-1-111-1-1-1-1-1-11111111-11-1-11111-1-1-111-1-1-1-11111-1-1-1-1-1-111-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1111-1111-1-11111-1-111-1-111-1-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111-1-11-11-11-1-1-1-1111111-1-11111-1-1-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-111-11-11-11111-1-1-1-111-1-11111-1-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-11
χ17222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1000022220022002200220000220000002-1-1-1-1-1-10-1-102-1-100-1-100-1-1-1-100000000
χ18222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-100002-22-20022002200-2-20000-2-2000000-2-11-1-1110-110-2-1-1001100111100000000
χ19222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-22-2200-2-200-2-200-2-20000-2-200000021-111-1-101-1021100-1-100111100000000
χ20222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-200-2-200-2-20022000022000000-21111110110-211001100-1-1-1-100000000
χ21222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-1-1-1-11111-2-21111000022-2-2002200-2-200-2-20000220000002-1-1-1-1-1-10110-21100110011-1-100000000
χ22222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-1-1-1-11111-2-2111100002-2-22002200-2-200220000-2-2000000-2-11-1-11101-1021100-1-100-1-11100000000
χ23222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-1-1-1-11111-2-211110000-222-200-2-2002200220000-2-200000021-111-1-10-110-2-1-1001100-1-11100000000
χ24222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-1-1-1-11111-2-211110000-2-22200-2-2002200-2-2000022000000-21111110-1-102-1-100-1-10011-1-100000000
χ2522222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100000202220022002200002200220000-10200-1-1-102-1-100-1-1-1-1-1-1000000-1-1-1-100
χ2622222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100000202-2-200-2-200-2-20000-2-200-2-20000-10200-1-11021-10011-1-111000000111100
χ2722222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100000-20-222002200220000-2-200-2-2000010-20011-10-2-1100-1-111-1-1000000111100
χ2822222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100000-20-2-2-200-2-200-2-20000220022000010-2001110-21100111111000000-1-1-1-100
χ2922222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000020-22-2002200-2-20000-2-200220000-10200-1-1-10-211001111-1-100000011-1-100
χ3022222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000020-2-2200-2-2002200002200-2-20000-10200-1-110-2-1100-1-11111000000-1-11100
χ3122222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-2-1-1-1-1-2-21111111100000-2022-2002200-2-200002200-2-2000010-20011-1021-10011-1-1-1-1000000-1-11100
χ3222222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-2-1-1-1-1-2-21111111100000-202-2200-2-200220000-2-20022000010-20011102-1-100-1-1-1-11100000011-1-100
χ332222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222202022-1-1-1-1-1-1-1-10022000000-1-1-1-1020-1-10022020-1-1-1-100-1-10000-1-1000000
χ342222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-20-20-2-2111111110022000000-1-1-1-10-201100-2-20-20111100110000-1-1000000
χ352222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22020-2-2-1-111-1-11100-2-20000001111020-1-100-220-20-1-1110011000011000000
χ362222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-20-202211-1-111-1-100-2-200000011110-2011002-202011-1-100-1-1000011000000
χ372222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-1-1-1-111-2-2111111222220-20-22-1-11111-1-100-2-2000000-1-1-1-1020-1-100-2-202011-1-10011000011000000
χ382222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-1-1-1-111-2-21111112222-20202-211-1-1-1-11100-2-2000000-1-1-1-10-201100220-20-1-11100-1-1000011000000
χ392222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-1-1-1-111-2-2111111-2-2-2-220-202-2-1-1-1-1111100220000001111020-1-1002-20-20111100-1-10000-1-1000000
χ402222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-1-1-1-111-2-2111111-2-2-2-2-2020-221111-1-1-1-1002200000011110-201100-22020-1-1-1-100110000-1-1000000
χ4122-2-222200-2-2-22-22-22-22222-2-2-2-2-222-200000022-2-200000000002i2i−2i−2i000000000000002-20000002i−2i2i2i−2i−2i000000000000000000002-20000002i−2i00
χ4222-2-222200-2-2-22-22-22-22222-2-2-2-2-222-200000022-2-200000000002i2i−2i−2i00000000000000-22000000−2i2i2i2i−2i−2i00000000000000000000-22000000−2i2i00
χ4322-2-222200-2-2-22-22-22-22222-2-2-2-2-222-200000022-2-20000000000−2i−2i2i2i000000000000002-2000000−2i2i−2i−2i2i2i000000000000000000002-2000000−2i2i00
χ4422-2-222200-2-2-22-22-22-22222-2-2-2-2-222-200000022-2-20000000000−2i−2i2i2i00000000000000-220000002i−2i−2i−2i2i2i00000000000000000000-220000002i−2i00
χ452-22-222200-222-22-2-2-2-2222-2-2-222-2-2-220000002-2-2200000000002i−2i2i−2i0000000000000000002i−2i2-2002i−2i2i−2i00000000000000000000002-2002i−2i0000
χ462-22-222200-222-22-2-2-2-2222-2-2-222-2-2-220000002-2-2200000000002i−2i2i−2i000000000000000000−2i2i-22002i−2i2i−2i0000000000000000000000-2200−2i2i0000
χ472-22-222200-222-22-2-2-2-2222-2-2-222-2-2-220000002-2-220000000000−2i2i−2i2i0000000000000000002i−2i-2200−2i2i−2i2i0000000000000000000000-22002i−2i0000
χ482-22-222200-222-22-2-2-2-2222-2-2-222-2-2-220000002-2-220000000000−2i2i−2i2i000000000000000000−2i2i2-200−2i2i−2i2i00000000000000000000002-200−2i2i0000
χ492-2-222222i−2i2-2-2-2-2-22-22222-222-2-22-2-2-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-2-2200000000000000002i−2i0000002-2-220000000000000000000000002i−2i000000
χ502-2-222222i−2i2-2-2-2-2-22-22222-222-2-22-2-2-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i-222-20000000000000000−2i2i000000-222-2000000000000000000000000−2i2i000000
χ512-2-22222−2i2i2-2-2-2-2-22-22222-222-2-22-2-2-2−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2-220000000000000000−2i2i0000002-2-22000000000000000000000000−2i2i000000
χ522-2-22222−2i2i2-2-2-2-2-22-22222-222-2-22-2-2-2−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i-222-200000000000000002i−2i000000-222-20000000000000000000000002i−2i000000
χ532-2-22-1222i−2i21-2-2-21-1-22-1-121-121-2-11-21−ii2i−2i2i−2i-11-11−ii2i−2i−ii−i−iii2-2-22000000−i3i33−33−3−i3i3002i−2i000000-111-1000−i3i300000003−3−i3i3003−30000−ii000000
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χ572-2-22-122−2i2i21-2-2-21-1-22-1-121-121-2-11-21i−i−2i2i−2i2i-11-11i−i−2i2ii−iii−i−i2-2-22000000−i3i3−33−33−i3i300−2i2i000000-111-1000−i3i30000000−33−i3i300−330000i−i000000
χ582-2-22-122−2i2i21-2-2-21-1-22-1-121-121-2-11-21i−i−2i2i−2i2i-11-11i−i−2i2ii−iii−i−i2-2-22000000i3−i33−33−3i3−i300−2i2i000000-111-1000i3−i300000003−3i3−i3003−30000i−i000000
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χ602-2-22-122−2i2i21-2-2-21-1-22-1-121-121-2-11-21i−i−2i2i−2i2i-11-11i−i−2i2ii−iii−i−i-222-2000000i3−i3−333−3−i3i3002i−2i0000001-1-11000i3−i300000003−3−i3i300−330000−ii000000
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χ854-4-4444-24i−4i-2-4-422-44-444-2-2-4-2-222422-44i−4i4i−4i−2i2i-22-22−2i2i−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ864-4-4444-2−4i4i-2-4-422-44-444-2-2-4-2-222422-4−4i4i−4i4i2i−2i-22-222i−2i2i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ874-4-444-244i−4i4-42-4-4-442-2-24-224-2-42-2-4224i−4i−2i2i4i−4i-22-224i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ884-4-444-24−4i4i4-42-4-4-442-2-24-224-2-42-2-422−4i4i2i−2i−4i4i-22-22−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ894-4-444-2-24i−4i-2-4222-442-2-2-212-212-1-22-124i−4i−2i2i−2i2i1-11-1−2i2ii−i−2i2iii−i−i00000000000000000000000000000000000003-30000000003i−3i00000000000000
χ904-4-444-2-24i−4i-2-4222-442-2-2-212-212-1-22-124i−4i−2i2i−2i2i1-11-1−2i2ii−i−2i2iii−i−i0000000000000000000000000000000000000-33000000000−3i3i00000000000000
χ914-4-444-2-2−4i4i-2-4222-442-2-2-212-212-1-22-12−4i4i2i−2i2i−2i1-11-12i−2i−ii2i−2i−i−iii00000000000000000000000000000000000003-3000000000−3i3i00000000000000
χ924-4-444-2-2−4i4i-2-4222-442-2-2-212-212-1-22-12−4i4i2i−2i2i−2i1-11-12i−2i−ii2i−2i−i−iii0000000000000000000000000000000000000-330000000003i−3i00000000000000
χ934-4-44-24-24i−4i-22-4222-2-44-21-221-2-12-2-122−2i2i4i−4i−2i2i1-11-1i−i−2i2i−2i2iii−i−i0000000000−2i32i30023−230000000000000000000i3−i30000000−33000000000000000000
χ944-4-44-24-24i−4i-22-4222-2-44-21-221-2-12-2-122−2i2i4i−4i−2i2i1-11-1i−i−2i2i−2i2iii−i−i00000000002i3−2i300−23230000000000000000000−i3i300000003−3000000000000000000
χ954-4-44-24-2−4i4i-22-4222-2-44-21-221-2-12-2-1222i−2i−4i4i2i−2i1-11-1−ii2i−2i2i−2i−i−iii0000000000−2i32i300−23230000000000000000000i3−i300000003−3000000000000000000
χ964-4-44-24-2−4i4i-22-4222-2-44-21-221-2-12-2-1222i−2i−4i4i2i−2i1-11-1−ii2i−2i2i−2i−i−iii00000000002i3−2i30023−230000000000000000000−i3i30000000−33000000000000000000
χ974-4-44-2-244i−4i422-4-42-22-21-2-2-1-2-222122-1−2i2i−2i2i4i−4i1-11-1−2i2i−2i2ii−iii−i−i00000000000023−2300−2i32i30000000000000000000000000000i3−i300−33000000000000
χ984-4-44-2-244i−4i422-4-42-22-21-2-2-1-2-222122-1−2i2i−2i2i4i−4i1-11-1−2i2i−2i2ii−iii−i−i000000000000−2323002i3−2i30000000000000000000000000000−i3i3003−3000000000000
χ994-4-44-2-24−4i4i422-4-42-22-21-2-2-1-2-222122-12i−2i2i−2i−4i4i1-11-12i−2i2i−2i−ii−i−iii00000000000023−23002i3−2i30000000000000000000000000000−i3i300−33000000000000
χ1004-4-44-2-24−4i4i422-4-42-22-21-2-2-1-2-222122-12i−2i2i−2i−4i4i1-11-12i−2i2i−2i−ii−i−iii000000000000−232300−2i32i30000000000000000000000000000i3−i3003−3000000000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4004-84-448-8-44-4-42-44-24-24-42400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-40044-8-44-448-8-42-4-4-24-2442-4400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4800-8448-8-44-442-4-424444-2-4-4-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400444-44-44-442222-2-2-2-2-222-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400444-44-44-442222-2-2-2-2-222-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-40048-44-4-8-844-4-4244-2-4244-2-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4004-484-444-8-8-42-44-242-44-24-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-8-4-4-8844442-4-4-244-4-4-24420000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-4-44-44444222-2-2-222-2-2-22000000-111-1000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004-4-44-44444222-2-2-222-2-2-22000000-111-10000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48i−8i-444444-44-4222-222-2-22-2-2-2−4i4i−4i4i−4i4i-11-112i−2i2i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4−8i8i-444444-44-4222-222-2-22-2-2-24i−4i4i−4i4i−4i-11-11−2i2i−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000

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