Finite Group Databasebeta

← Group #13168219

Character table — Group #13168219

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121222444666666661212121212121212121222444466661212121212121212121224466121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-111-1-11111-1-1-1-1-1-11111-111-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111111111111111111111111111-111-11111111111111111111111-1-1-1-1-1-11-1-11-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-111-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111-11-1-1-1-1-1-1-1-111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-11111-111-1-111-1-1-1-11-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-11-1-111-1-11-1-1-1-111-1-111111-1-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111-111-1-111-1-1111-1-1-1-11111-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-111
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-111-111-1-11111-1-111-11-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-11-1-111-1-1-1-1111-1-1-1-111-1-1-111
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-111-1-1111-1-1-1-111-1-111-1-11-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-111-111-1-111-1-1111-1-1
χ17222222-122-122-12222-12-1-12-1-1-1-12-12-122-1-122-1-1-1-1222222-1-1-1-1-1-122-1-1-1-12200222-1-1-1-1-1-100-1-100-1-1-1-10000002-1-1-102-10-1-100002020000000000-1-10
χ18222222-122-122-12222-12-1-12-1-1-1-12-12-122-1-122-1-1-1-1222222-1-1-1-1-1-122-1-1-1-12-200-222-1-1-1-1-1-100-1-100-1-1-1-1000000-21110-210110000-20-20000000000110
χ19222222-122-122-12222-12-1-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-22002-2-211111100110011110000002-1-1-102-10-1-10000-20-20000000000110
χ20222222-122-122-12222-12-1-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-200-2-2-21111110011001111000000-21110-2101100002020000000000-1-10
χ21222222-1-2-2-122-12222-12-1-12-1-1-1-12-12-1-2-211-2-21111222222-1-1-1-111-2-21111-2200-2-2-211111100-1-100-1-1-1-10000002-1-1-10-21011000020-20000000000-110
χ22222222-1-2-2-122-12222-12-1-12-1-1-1-12-12-1-2-211-2-21111222222-1-1-1-111-2-21111-2-2002-2-211111100-1-100-1-1-1-1000000-211102-10-1-10000-20200000000001-10
χ23222222-1-2-2-122-12222-12-1-12-1-1-1-12-12-1-2-211-2-21111-2-2-2-2-2-2-1-1-1-111-2-211112200-222-1-1-1-1-1-100110011110000002-1-1-10-210110000-20200000000001-10
χ24222222-1-2-2-122-12222-12-1-12-1-1-1-12-12-1-2-211-2-21111-2-2-2-2-2-2-1-1-1-111-2-211112-200222-1-1-1-1-1-10011001111000000-211102-10-1-1000020-20000000000-110
χ2522222-12222-122-1-1222-12-1-12-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-120220-1-122-1-1-1-1-1-122-1-1-1-1-1-12222000000200200-1-1-1-1000-1-1-1-1000000000
χ2622222-12222-122-1-1222-12-1-12-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-120-2-20-1-122-1-1-1-1112211-1-1-1-1-2-2-2-2000000-200-20011110001111000000000
χ2722222-12222-122-1-1222-12-1-12-1-12-12-1-12222-1-1-1-1-1-1-2-21111-1-1-1-122-1-1-1-1-1-1-2022011-2-21111-1-1-2-2-1-11111-2-2-2-2000000200200-1-1-1-10001111000000000
χ2822222-12222-122-1-1222-12-1-12-1-12-12-1-12222-1-1-1-1-1-1-2-21111-1-1-1-122-1-1-1-1-1-1-20-2-2011-2-2111111-2-21111112222000000-200-2001111000-1-1-1-1000000000
χ2922222-12-2-22-122-1-1222-12-1-12-1-12-12-1-1-2-2-2-211111122-1-1-1-1-1-1-1-1-2-2111111-202-2011-2-211111122-1-1-1-1-1-122-2-2000000200-20011-1-1000-1-111000000000
χ3022222-12-2-22-122-1-1222-12-1-12-1-12-12-1-1-2-2-2-211111122-1-1-1-1-1-1-1-1-2-2111111-20-22011-2-21111-1-12211-1-1-1-1-2-222000000-200200-1-11100011-1-1000000000
χ3122222-12-2-22-122-1-1222-12-1-12-1-12-12-1-1-2-2-2-2111111-2-21111-1-1-1-1-2-2111111202-20-1-122-1-1-1-111-2-2-1-11111-2-222000000200-20011-1-100011-1-1000000000
χ3222222-12-2-22-122-1-1222-12-1-12-1-12-12-1-1-2-2-2-2111111-2-21111-1-1-1-1-2-211111120-220-1-122-1-1-1-1-1-1-2-211111122-2-2000000-200200-1-111000-1-111000000000
χ332222-1222222-1222-1-12-1-12-1-122-1-1-1-12-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-102222000000002200220000000022-12-1-1-1-12-1-1-1-1-1-1-10200000-1-1-1-100000
χ342222-1222222-1222-1-12-1-12-1-122-1-1-1-12-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-102-2-2200000000-2-200-2-200000000-2-2-12-1-11-121-1-111110-200000111100000
χ352222-1222222-1222-1-12-1-12-1-122-1-1-1-12-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-10-222-20000000022002200000000-2-21-211-11-2-111-1-1-1-10-200000111100000
χ362222-1222222-1222-1-12-1-12-1-122-1-1-1-12-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000-2-200-2-200000000221-21111-211111110200000-1-1-1-100000
χ372222-122-2-222-1222-1-12-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-2000000-1-1-1-111111111022-2-200000000-2-2002200000000-2-2-12-1-1-11-211111-1-10200000-1-11100000
χ382222-122-2-222-1222-1-12-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-2000000-1-1-1-11111111102-22-2000000002200-2-20000000022-12-1-111-2-111-1-1110-20000011-1-100000
χ392222-122-2-222-1222-1-12-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-2000000-1-1-1-1111111110-22-2200000000-2-2002200000000221-211-1-121-1-111-1-10-20000011-1-100000
χ402222-122-2-222-1222-1-12-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-2000000-1-1-1-1111111110-2-222000000002200-2-200000000-2-21-2111-12-1-1-1-1-1110200000-1-11100000
χ4122-2-222200-2-2222-2-2-2-2222-2-2-2-22-2-22200000000002-222-2-22-2-22000000000000000000000002-20022-2-200002i−2i000000000000000000000002i−2i2i−2i000
χ4222-2-222200-2-2222-2-2-2-2222-2-2-2-22-2-22200000000002-222-2-22-2-22000000000000000000000002-20022-2-20000−2i2i00000000000000000000000−2i2i−2i2i000
χ4322-2-222200-2-2222-2-2-2-2222-2-2-2-22-2-2220000000000-22-2-2222-2-2200000000000000000000000-2200-2-22200002i−2i000000000000000000000002i−2i−2i2i000
χ4422-2-222200-2-2222-2-2-2-2222-2-2-2-22-2-2220000000000-22-2-2222-2-2200000000000000000000000-2200-2-2220000−2i2i00000000000000000000000−2i2i2i−2i000
χ452-22-22222i−2i22-2-2-2-22-2-2222-222-2-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i00000022-2-22i−2i2i−2i2i2i−2i−2i000000000000000000000002-22i−2i00000000000000000002-22i−2i000000000
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χ482-22-2222−2i2i22-2-2-2-22-2-2222-222-2-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00000022-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000-222i−2i0000000000000000000-222i−2i000000000
χ492-22-22-122i−2i2-1-2-2112-2-2-12-112-11-2-1-2112i−2i2i−2i−ii−i−iii003−33−3-1-1112i−2i−ii−i−iii00000−i3i300−i3−i3i3i3−i3i3003−33−33−32-22i−2i000000000000−i3i33−3000-11−ii000000000
χ502-22-22-122i−2i2-1-2-2112-2-2-12-112-11-2-1-2112i−2i2i−2i−ii−i−iii003−33−3-1-1112i−2i−ii−i−iii00000−i3i300−i3−i3i3i3i3−i300−333−33−3-22−2i2i000000000000i3−i3−330001-1i−i000000000
χ512-22-22-122i−2i2-1-2-2112-2-2-12-112-11-2-1-2112i−2i2i−2i−ii−i−iii00−33−33-1-1112i−2i−ii−i−iii00000i3−i300i3i3−i3−i3−i3i3003−3−33−33-22−2i2i000000000000−i3i33−30001-1i−i000000000
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χ814-44-44-2-24i−4i-2-2-42224-42-2-212-21-12-222-14i−4i−2i2i−2i2iii−i−i0023−2323−2311-1-1−2i2i−2i2iii−i−i00000−2i32i300i3i3−i3−i3000000−33−33000000000000000000000000000000000000
χ824-44-44-2-24i−4i-2-2-42224-42-2-212-21-12-222-14i−4i−2i2i−2i2iii−i−i00−2323−232311-1-1−2i2i−2i2iii−i−i000002i3−2i300−i3−i3i3i30000003−33−3000000000000000000000000000000000000
χ834-44-44-2-2−4i4i-2-2-42224-42-2-212-21-12-222-1−4i4i2i−2i2i−2i−i−iii0023−2323−2311-1-12i−2i2i−2i−i−iii000002i3−2i300−i3−i3i3i3000000−33−33000000000000000000000000000000000000
χ844-44-44-2-2−4i4i-2-2-42224-42-2-212-21-12-222-1−4i4i2i−2i2i−2i−i−iii00−2323−232311-1-12i−2i2i−2i−i−iii00000−2i32i300i3i3−i3−i30000003−33−3000000000000000000000000000000000000
χ854-44-4-2444i−4i442-4-4-4-22-4-2-242-24-42-222-4−2i2i4i−4i4i−4i4i4i−4i−4i000000-2-222−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000
χ864-44-4-244−4i4i442-4-4-4-22-4-2-242-24-42-222-42i−2i−4i4i−4i4i−4i−4i4i4i000000-2-2222i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000
χ874-44-4-24-24i−4i-2422-4-4-222-21-221-22-1-2-122−2i2i−2i2i4i−4i−2i−2i2i2i00000011-1-1i−i−2i2iii−i−i00000000000000000000000000000003-300003i−3i00000000000000000000
χ884-44-4-24-24i−4i-2422-4-4-222-21-221-22-1-2-122−2i2i−2i2i4i−4i−2i−2i2i2i00000011-1-1i−i−2i2iii−i−i0000000000000000000000000000000-330000−3i3i00000000000000000000
χ894-44-4-24-2−4i4i-2422-4-4-222-21-221-22-1-2-1222i−2i2i−2i−4i4i2i2i−2i−2i00000011-1-1−ii2i−2i−i−iii00000000000000000000000000000003-30000−3i3i00000000000000000000
χ904-44-4-24-2−4i4i-2422-4-4-222-21-221-22-1-2-1222i−2i2i−2i−4i4i2i2i−2i−2i00000011-1-1−ii2i−2i−i−iii0000000000000000000000000000000-3300003i−3i00000000000000000000
χ914-44-4-2-244i−4i4-22-422-22-41-2-2-1-2-22212-12−2i2i4i−4i−2i2i−2i−2i2i2i00000011-1-1−2i2ii−iii−i−i0000000000000−2i32i30023−2300000000000000000000i3−i3−330000000000000000
χ924-44-4-2-244i−4i4-22-422-22-41-2-2-1-2-22212-12−2i2i4i−4i−2i2i−2i−2i2i2i00000011-1-1−2i2ii−iii−i−i00000000000002i3−2i300−232300000000000000000000−i3i33−30000000000000000
χ934-44-4-2-24−4i4i4-22-422-22-41-2-2-1-2-22212-122i−2i−4i4i2i−2i2i2i−2i−2i00000011-1-12i−2i−ii−i−iii0000000000000−2i32i300−232300000000000000000000i3−i33−30000000000000000
χ944-44-4-2-24−4i4i4-22-422-22-41-2-2-1-2-22212-122i−2i−4i4i2i−2i2i2i−2i−2i00000011-1-12i−2i−ii−i−iii00000000000002i3−2i30023−2300000000000000000000−i3i3−330000000000000000
χ954-4-4444400-4-4-4-4-44-4444444-4-44-4-44-4-400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ964-4-4444-2002-4-42-44-44-24-2-2422-22-4-2-420000000000000000-22-22000000000000000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ974-4-4444-2002-4-42-44-44-24-2-2422-22-4-2-420000000000000000-22-220000000000000002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ984-4-444-2400-42-4-42-2-444-24-2-2-42-2-4242200000000000023−23−2323-22-2200000000000000000000000000023−23−2323000000000000000000000000000000000000
χ994-4-444-2400-42-4-42-2-444-24-2-2-42-2-42422000000000000−232323−23-22-22000000000000000000000000000−232323−23000000000000000000000000000000000000
χ1004-4-444-2-20022-422-2-44-2-2-21-22-1122-22-10000003i−3i−3i3i0023−23−23231-11-100003i−3i−3i3i00000002i3−2i3−i3i3i3−i3000000−333−3000000000000000000000000000000000000
χ1014-4-444-2-20022-422-2-44-2-2-21-22-1122-22-10000003i−3i−3i3i00−232323−231-11-100003i−3i−3i3i0000000−2i32i3i3−i3−i3i30000003−3−33000000000000000000000000000000000000
χ1024-4-444-2-20022-422-2-44-2-2-21-22-1122-22-1000000−3i3i3i−3i0023−23−23231-11-10000−3i3i3i−3i0000000−2i32i3i3−i3−i3i3000000−333−3000000000000000000000000000000000000
χ1034-4-444-2-20022-422-2-44-2-2-21-22-1122-22-1000000−3i3i3i−3i00−232323−231-11-10000−3i3i3i−3i00000002i3−2i3−i3i3i3−i30000003−3−33000000000000000000000000000000000000
χ1044-4-44-24400-4-42-4-442-24-2-24-22-4422-22-40000000000000000-22-22000000000000000000000000000000000000000000000000000000000023−230000000
χ1054-4-44-24400-4-42-4-442-24-2-24-22-4422-22-40000000000000000-22-220000000000000000000000000000000000000000000000000000000000−23230000000
χ1068888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10888-8-8-48-4004-8-4-48-8444-42-44-24424-2-4-400000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4800-84-48-4444-82-4-4-2444-4-242-400000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-40044-4-4-44444222-2-2-2-22-2-2220000006-66-6000000-111-10000-33-3300000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-40044-4-4-44444222-2-2-2-22-2-222000000-66-66000000-111-100003-33-300000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-48i−8i-4-44444-444222-222-2-22-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i000000-1-1112i−2i2i−2i−i−iii00000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4−8i8i-4-44444-444222-222-2-22-2-2-24i−4i4i−4i4i−4i−2i−2i2i2i000000-1-111−2i2i−2i2iii−i−i00000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-4004-844-884-4-4-42-4-4-24-4-2424400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4800-844-84-44-482-4-4244-44-2-4-2400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-40044444-44-4-42222-2-22-2-22-2-20000006i−6i−6i6i000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-40044444-44-4-42222-2-22-2-22-2-2000000−6i6i6i−6i000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000

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