Finite Group Databasebeta

← Group #13180590

Character table — Group #13180590

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11223344448888121212121212121212121818182424242424243636363636363636365454541122334444888812121212121212121212181818242424242424363636363636363636545454
order1236443366336644121212121212121248812121212121222666612242428822664466666666441212121212121212488121212121212226666122424288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1111111-1-11-1-11-111-1-11-111-1-11-1-11-1-1111111111111111-1111111-1-11-1-11-111-1-11-111-1-11-1-11-1-1
χ311111111111111-111111-1-1111-1-1-11-1-111-11-1-1111-1-11-1-111111111111111-111111-1-1111-1-1-11-1-111-11-1-1111-1-11-1-1
χ411111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-11111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-11111-1-11111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1
χ61111-1-1111111111-1-1-1-1-111-1-11-1-11-111-1-1-11-1-1111-1-1-1111111-1-1111111111-1-1-1-1-111-1-11-1-11-111-1-1-11-1-1111-1-1-111
χ71111-1-111111111-11-1-1-1-1-1-1111-1-1-11-1-1111-111-1-11-1-1-1111111-1-111111111-11-1-1-1-1-1-1111-1-1-11-1-1111-111-1-11-1-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1
χ9222222222222220022220000-200000000000000-200-200222222222222220022220000-200000000000000-200-200
χ102222-2-22222222200-2-2-2-20000-200000000000000-2002002222-2-22222222200-2-2-2-20000-200000000000000-200200
χ1122-1-1002222-1-1-1-12200002222222-1-1-1-1-1-1000000-1-1-100022-1-1002222-1-1-1-12200002222222-1-1-1-1-1-1000000-1-1-1000
χ1222-1-1002222-1-1-1-12-2000022-2-22-2-2-11-1-111000000-11100022-1-1002222-1-1-1-12-2000022-2-22-2-2-11-1-111000000-111000
χ1322-1-1002222-1-1-1-1-220000-2-2222-2-21-111-1-1000000-11100022-1-1002222-1-1-1-1-220000-2-2222-2-21-111-1-1000000-111000
χ1422-1-1002222-1-1-1-1-2-20000-2-2-2-2222111111000000-1-1-100022-1-1002222-1-1-1-1-2-20000-2-2-2-2222111111000000-1-1-1000
χ152-22-22i−2i22-2-222-2-2002i2i−2i−2i000002−200000000000002−20−i2i22-22-22i−2i22-2-222-2-2002i2i−2i−2i000002−200000000000002−20−i2i2
χ162-22-22i−2i22-2-222-2-2002i2i−2i−2i00000−220000000000000−220i2−i22-22-22i−2i22-2-222-2-2002i2i−2i−2i00000−220000000000000−220i2−i2
χ172-22-2−2i2i22-2-222-2-200−2i−2i2i2i000002−200000000000002−20i2−i22-22-2−2i2i22-2-222-2-200−2i−2i2i2i000002−200000000000002−20i2−i2
χ182-22-2−2i2i22-2-222-2-200−2i−2i2i2i00000−220000000000000−220−i2i22-22-2−2i2i22-2-222-2-200−2i−2i2i2i00000−220000000000000−220−i2i2
χ194444441-21-21-21-2021-21-200-1-10000200-1-10200-1-10000004444441-21-21-21-2021-21-200-1-10000200-1-10200-1-1000000
χ204444441-21-21-21-20-21-21-200110000-200110-200110000004444441-21-21-21-20-21-21-200110000-200110-20011000000
χ21444444-21-21-21-2120-21-21-1-10000020-1-10020-1-100000000444444-21-21-21-2120-21-21-1-10000020-1-10020-1-100000000
χ22444444-21-21-21-21-20-21-211100000-201100-201100000000444444-21-21-21-21-20-21-211100000-201100-201100000000
χ234444-4-41-21-21-21-202-12-1200-1-10000200-1-10-200110000004444-4-41-21-21-21-202-12-1200-1-10000200-1-10-20011000000
χ244444-4-41-21-21-21-20-2-12-1200110000-200110200-1-10000004444-4-41-21-21-21-20-2-12-1200110000-200110200-1-1000000
χ254444-4-4-21-21-21-21202-12-1-1-10000020-1-100-2011000000004444-4-4-21-21-21-21202-12-1-1-10000020-1-100-201100000000
χ264444-4-4-21-21-21-21-202-12-11100000-20110020-1-1000000004444-4-4-21-21-21-21-202-12-11100000-20110020-1-100000000
χ2744-2-2004444-2-2-2-20000000000-40000000000000020000044-2-2004444-2-2-2-20000000000-400000000000000200000
χ284-44-44i−4i1-2-121-2-1200i−2i−i2i003−300000003−30000−i3i30000004-44-44i−4i1-2-121-2-1200i−2i−i2i003−300000003−30000−i3i3000000
χ294-44-44i−4i1-2-121-2-1200i−2i−i2i00−330000000−330000i3−i30000004-44-44i−4i1-2-121-2-1200i−2i−i2i00−330000000−330000i3−i3000000
χ304-44-44i−4i-212-1-212-100−2ii2i−i3−300000003−30000−i3i3000000004-44-44i−4i-212-1-212-100−2ii2i−i3−300000003−30000−i3i300000000
χ314-44-44i−4i-212-1-212-100−2ii2i−i−330000000−330000i3−i3000000004-44-44i−4i-212-1-212-100−2ii2i−i−330000000−330000i3−i300000000
χ324-44-4−4i4i1-2-121-2-1200−i2ii−2i003−300000003−30000i3−i30000004-44-4−4i4i1-2-121-2-1200−i2ii−2i003−300000003−30000i3−i3000000
χ334-44-4−4i4i1-2-121-2-1200−i2ii−2i00−330000000−330000−i3i30000004-44-4−4i4i1-2-121-2-1200−i2ii−2i00−330000000−330000−i3i3000000
χ344-44-4−4i4i-212-1-212-1002i−i−2ii3−300000003−30000i3−i3000000004-44-4−4i4i-212-1-212-1002i−i−2ii3−300000003−30000i3−i300000000
χ354-44-4−4i4i-212-1-212-1002i−i−2ii−330000000−330000−i3i3000000004-44-4−4i4i-212-1-212-1002i−i−2ii−330000000−330000−i3i300000000
χ364-4-220044-4-4-2-2220000000000022−220000000000000−220004-4-220044-4-4-2-2220000000000022−220000000000000−22000
χ374-4-220044-4-4-2-22200000000000−222200000000000002−20004-4-220044-4-4-2-22200000000000−222200000000000002−2000
χ3888-4-4002-42-4-12-1204000000-2-20000-2001100000000000088-4-4002-42-4-12-1204000000-2-20000-20011000000000000
χ3988-4-4002-42-4-12-120-4000000220000200-1-100000000000088-4-4002-42-4-12-120-4000000220000200-1-1000000000000
χ4088-4-400-42-422-12-1400000-2-200000-20110000000000000088-4-400-42-422-12-1400000-2-200000-201100000000000000
χ4188-4-400-42-422-12-1-400000220000020-1-10000000000000088-4-400-42-422-12-1-400000220000020-1-100000000000000
χ428-8-44002-4-24-121-20000000023−230000000−330000000000008-8-44002-4-24-121-20000000023−230000000−33000000000000
χ438-8-44002-4-24-121-200000000−232300000003−30000000000008-8-44002-4-24-121-200000000−232300000003−3000000000000
χ448-8-4400-424-22-1-2100000023−230000000−33000000000000008-8-4400-424-22-1-2100000023−230000000−3300000000000000
χ458-8-4400-424-22-1-21000000−232300000003−3000000000000008-8-4400-424-22-1-21000000−232300000003−300000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ47111111111111111-1111111-1-11-1-11-111-1-11-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-111-11-1-111-11-1-111-111-111
χ4811111111111111-111111-1-1111-1-1-11-1-111-11-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1111-111-1-11-111-1-1-111-111
χ4911111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1
χ501111-1-11111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111
χ511111-1-1111111111-1-1-1-1-111-1-11-1-11-111-1-1-11-1-1111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-111-111-11-1-1111-111-1-1-1111-1-1
χ521111-1-111111111-11-1-1-1-1-1-1111-1-1-11-1-1111-111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1111111-1-1-1111-111-1-1-11-1-111-1111-1-1
χ531111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1111
χ54222222222222220022220000-200000000000000-200-200-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-20000200000000000000200200
χ552222-2-22222222200-2-2-2-20000-200000000000000-200200-2-2-2-222-2-2-2-2-2-2-2-20022220000200000000000000200-200
χ5622-1-1002222-1-1-1-12200002222222-1-1-1-1-1-1000000-1-1-1000-2-21100-2-2-2-21111-2-20000-2-2-2-2-2-2-2111111000000111000
χ5722-1-1002222-1-1-1-12-2000022-2-22-2-2-11-1-111000000-111000-2-21100-2-2-2-21111-220000-2-222-2221-111-1-10000001-1-1000
χ5822-1-1002222-1-1-1-1-220000-2-2222-2-21-111-1-1000000-111000-2-21100-2-2-2-211112-2000022-2-2-222-11-1-1110000001-1-1000
χ5922-1-1002222-1-1-1-1-2-20000-2-2-2-2222111111000000-1-1-1000-2-21100-2-2-2-211112200002222-2-2-2-1-1-1-1-1-1000000111000
χ602-22-22i−2i22-2-222-2-2002i2i−2i−2i000002−200000000000002−20−i2i2-22-22−2i2i-2-222-2-22200−2i−2i2i2i00000−220000000000000−220i2−i2
χ612-22-22i−2i22-2-222-2-2002i2i−2i−2i00000−220000000000000−220i2−i2-22-22−2i2i-2-222-2-22200−2i−2i2i2i000002−200000000000002−20−i2i2
χ622-22-2−2i2i22-2-222-2-200−2i−2i2i2i000002−200000000000002−20i2−i2-22-222i−2i-2-222-2-222002i2i−2i−2i00000−220000000000000−220−i2i2
χ632-22-2−2i2i22-2-222-2-200−2i−2i2i2i00000−220000000000000−220−i2i2-22-222i−2i-2-222-2-222002i2i−2i−2i000002−200000000000002−20i2−i2
χ644444441-21-21-21-2021-21-200-1-10000200-1-10200-1-1000000-4-4-4-4-4-4-12-12-12-120-2-12-1200110000-200110-20011000000
χ654444441-21-21-21-20-21-21-200110000-200110-20011000000-4-4-4-4-4-4-12-12-12-1202-12-1200-1-10000200-1-10200-1-1000000
χ66444444-21-21-21-2120-21-21-1-10000020-1-10020-1-100000000-4-4-4-4-4-42-12-12-12-1-202-12-11100000-201100-201100000000
χ67444444-21-21-21-21-20-21-211100000-201100-201100000000-4-4-4-4-4-42-12-12-12-1202-12-1-1-10000020-1-10020-1-100000000
χ684444-4-41-21-21-21-202-12-1200-1-10000200-1-10-20011000000-4-4-4-444-12-12-12-120-21-21-200110000-200110200-1-1000000
χ694444-4-41-21-21-21-20-2-12-1200110000-200110200-1-1000000-4-4-4-444-12-12-12-12021-21-200-1-10000200-1-10-20011000000
χ704444-4-4-21-21-21-21202-12-1-1-10000020-1-100-201100000000-4-4-4-4442-12-12-12-1-20-21-211100000-20110020-1-100000000
χ714444-4-4-21-21-21-21-202-12-11100000-20110020-1-100000000-4-4-4-4442-12-12-12-120-21-21-1-10000020-1-100-201100000000
χ7244-2-2004444-2-2-2-20000000000-400000000000000200000-4-42200-4-4-4-422220000000000400000000000000-200000
χ734-44-44i−4i1-2-121-2-1200i−2i−i2i003−300000003−30000−i3i3000000-44-44−4i4i-121-2-121-200−i2ii−2i00−330000000−330000i3−i3000000
χ744-44-44i−4i1-2-121-2-1200i−2i−i2i00−330000000−330000i3−i3000000-44-44−4i4i-121-2-121-200−i2ii−2i003−300000003−30000−i3i3000000
χ754-44-44i−4i-212-1-212-100−2ii2i−i3−300000003−30000−i3i300000000-44-44−4i4i2-1-212-1-21002i−i−2ii−330000000−330000i3−i300000000
χ764-44-44i−4i-212-1-212-100−2ii2i−i−330000000−330000i3−i300000000-44-44−4i4i2-1-212-1-21002i−i−2ii3−300000003−30000−i3i300000000
χ774-44-4−4i4i1-2-121-2-1200−i2ii−2i003−300000003−30000i3−i3000000-44-444i−4i-121-2-121-200i−2i−i2i00−330000000−330000−i3i3000000
χ784-44-4−4i4i1-2-121-2-1200−i2ii−2i00−330000000−330000−i3i3000000-44-444i−4i-121-2-121-200i−2i−i2i003−300000003−30000i3−i3000000
χ794-44-4−4i4i-212-1-212-1002i−i−2ii3−300000003−30000i3−i300000000-44-444i−4i2-1-212-1-2100−2ii2i−i−330000000−330000−i3i300000000
χ804-44-4−4i4i-212-1-212-1002i−i−2ii−330000000−330000−i3i300000000-44-444i−4i2-1-212-1-2100−2ii2i−i3−300000003−30000i3−i300000000
χ814-4-220044-4-4-2-2220000000000022−220000000000000−22000-442-200-4-44422-2-200000000000−222200000000000002−2000
χ824-4-220044-4-4-2-22200000000000−222200000000000002−2000-442-200-4-44422-2-20000000000022−220000000000000−22000
χ8388-4-4002-42-4-12-1204000000-2-20000-20011000000000000-8-84400-24-241-21-20-4000000220000200-1-1000000000000
χ8488-4-4002-42-4-12-120-4000000220000200-1-1000000000000-8-84400-24-241-21-204000000-2-20000-20011000000000000
χ8588-4-400-42-422-12-1400000-2-200000-201100000000000000-8-844004-24-2-21-21-400000220000020-1-100000000000000
χ8688-4-400-42-422-12-1-400000220000020-1-100000000000000-8-844004-24-2-21-21400000-2-200000-201100000000000000
χ878-8-44002-4-24-121-20000000023−230000000−33000000000000-884-400-242-41-2-1200000000−232300000003−3000000000000
χ888-8-44002-4-24-121-200000000−232300000003−3000000000000-884-400-242-41-2-120000000023−230000000−33000000000000
χ898-8-4400-424-22-1-2100000023−230000000−3300000000000000-884-4004-2-42-212-1000000−232300000003−300000000000000
χ908-8-4400-424-22-1-21000000−232300000003−300000000000000-884-4004-2-42-212-100000023−230000000−3300000000000000

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