Finite Group Databasebeta

← Group #13168428

Character table — Group #13168428

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666663334666666666121212121212121244441212121236661212121212121212122444661212121212121212121212121212121212121212446661212121212121212124444412121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-1-1-11111111111111111111111-1-1-11-1-111-1-111-11-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-111-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-11-1-1-1-1-1-111-111
χ51111111111111111111111111111111111111-1-111111111111111111111-111111111-1-1-1-111-1-111111111-1-1111-111-1-111-1-11-1-1-11-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-1-11-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-1-11-1-1-11111-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1111111-1-1-1-111111-1-1-111-1-1-1-11-11-1-111-1-1111-1-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-111-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1111111-1-1-1-11111-1-1111-1-1-111-1-1-1-1-111-11-1-11111-11-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-11-1-1-111-1-11-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-1-111-1-11-11-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-111-11-1-11111-11-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1111-1-111111-11-1-111-1-1111-1-1-11
χ17222222-1222-1-1-12222-1-122-1-1-12-1-1-12-1-122-1-1-1-100222222-1-1-1-12-1-122-1-1-1-1202222-1-1-1-100002200-1-1-1-1-1-1-1-100-1-1-10-1200-1-10020002000000-1-1000
χ18222222-1222-1-1-12222-1-122-1-1-12-1-1-12-1-122-1-1-1-100222222-1-1-1-12-1-122-1-1-1-1-202-2-2-2-1-1-1-100002200-1-1-1-1-1-1-1-10011101-2001100-2000-200000011000
χ19222222-1222-1-1-12222-1-122-1-1-12-1-1-12-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-120-222211110000-2-2001111111100-1-1-10-1200-1-100-2000-200000011000
χ20222222-1222-1-1-12222-1-122-1-1-12-1-1-12-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20-2-2-2-211110000-2-200111111110011101-200110020002000000-1-1000
χ21222222-1222-1-1-12222-1-1-22-1-1-12-1-1-1211-2-2111100222222-1-1-1-1-211-2-2111120-2-22211-1-10000-2-200-1-1-1-1111100-1-1-101-20011002000-2000000-11000
χ22222222-1222-1-1-12222-1-1-22-1-1-12-1-1-1211-2-2111100222222-1-1-1-1-211-2-21111-20-22-2-211-1-10000-2-200-1-1-1-11111001110-1200-1-100-200020000001-1000
χ23222222-1222-1-1-12222-1-1-22-1-1-12-1-1-1211-2-2111100-2-2-2-2-2-2-1-1-1-1-211-2-21111202-222-1-111000022001111-1-1-1-100-1-1-101-2001100-200020000001-1000
χ24222222-1222-1-1-12222-1-1-22-1-1-12-1-1-1211-2-2111100-2-2-2-2-2-2-1-1-1-1-211-2-21111-2022-2-2-1-111000022001111-1-1-1-1001110-1200-1-1002000-2000000-11000
χ2522222-12-12-122222-1-12-12-1-12-1-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-12202-1-10000222200-1-100000000002-1-1-12-1-1-1-1-1-1-1002200000-1-100-100
χ2622222-12-12-122222-1-12-12-1-12-1-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-220-2110000222200-1-10000000000-211-1-21-1-111-1-100-2-2000001100100
χ2722222-12-12-122222-1-12-12-1-12-1-122-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-12-202-1-10000-2-2-2-2001100000000002-1-112-111-1-11100-2-2000001100100
χ2822222-12-12-122222-1-12-12-1-12-1-122-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2110000-2-2-2-200110000000000-2111-21111111002200000-1-100-100
χ2922222-12-12-122222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-222000000-1-1-1-11111111112-20-2-1-10000-2-22200-1-100000000002-1-11-21-1-11111002-200000-1-100100
χ3022222-12-12-122222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-222000000-1-1-1-1111111111-2-202110000-2-22200-1-10000000000-21112-1-1-1-1-11100-22000001100-100
χ3122222-12-12-122222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111220-2-1-1000022-2-2001100000000002-1-1-1-211111-1-100-22000001100-100
χ3222222-12-12-122222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111-220211000022-2-200110000000000-211-12-111-1-1-1-1002-200000-1-100100
χ332222-1222-12222-1-12-1-122-12-12-1-1-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10220002222-1-1-1-1-1-122-1-1-1-1-1-1-1-122000200-1-100-1-102000-1-1-1-10000000
χ342222-1222-12222-1-12-1-122-12-12-1-1-12-122-1-1-1-1-1-122-2-21111-1-1-1-1222-1-1-1-1-1-102-2000-2-2-2-2-1-1-1-1112211111111-2-2000200-1-100-1-10-200011110000000
χ352222-1222-12222-1-12-1-122-12-12-1-1-12-122-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10-2200022221111-1-1-2-2-1-1-1-1-1-1-1-1-2-2000-2001100110-200011110000000
χ362222-1222-12222-1-12-1-122-12-12-1-1-12-122-1-1-1-1-1-1-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-2-2000-2-2-2-2111111-2-21111111122000-20011001102000-1-1-1-10000000
χ372222-1222-12222-1-12-1-12-2-12-12-1-1-12-1-2-21111112222-1-1-1-1-1-1-1-1-2-2-21111110-2-2000-2-22211-1-11122-1-1-1-1111122000-200-1-100110-2000-1-1110000000
χ382222-1222-12222-1-12-1-12-2-12-12-1-1-12-1-2-211111122-2-21111-1-1-1-1-2-2-21111110-2200022-2-211-1-1-1-1221111-1-1-1-1-2-2000-200-1-100110200011-1-10000000
χ392222-1222-12222-1-12-1-12-2-12-12-1-1-12-1-2-2111111-2-222-1-1-1-1-1-1-1-1-2-2-211111102-2000-2-222-1-11111-2-2-1-1-1-11111-2-20002001100-1-10200011-1-10000000
χ402222-1222-12222-1-12-1-12-2-12-12-1-1-12-1-2-2111111-2-2-2-21111-1-1-1-1-2-2-211111102200022-2-2-1-111-1-1-2-21111-1-1-1-1220002001100-1-10-2000-1-1110000000
χ412-22-2222-2-2-22-2-2-2222220-2-2-2-222-22-2000000002-22i−2i2i2i−2i−2i22-2-2000000000000000002i−2i002-2002-22i2i−2i−2i00002i−2i0000002-20000000002i−2i000000000
χ422-22-2222-2-2-22-2-2-2222220-2-2-2-222-22-2000000002-2−2i2i−2i−2i2i2i22-2-200000000000000000−2i2i002-2002-2−2i−2i2i2i0000−2i2i0000002-2000000000−2i2i000000000
χ432-22-2222-2-2-22-2-2-2222220-2-2-2-222-22-200000000-222i−2i2i2i−2i−2i22-2-2000000000000000002i−2i00-2200-222i2i−2i−2i0000−2i2i000000-22000000000−2i2i000000000
χ442-22-2222-2-2-22-2-2-2222220-2-2-2-222-22-200000000-22−2i2i−2i−2i2i2i22-2-200000000000000000−2i2i00-2200-22−2i−2i2i2i00002i−2i000000-220000000002i−2i000000000
χ452-22-2-122-21-22-2-21-12-1-1201-21-2-1-1121003−333−3−32-22i−2i−i−iii-1-1110003−333−3−3000000002i−2i3−3-11−i3i32-2−i−iii−i3−i3i3i32i−2i000000-11003−300000−ii−i3i30000000
χ462-22-2-122-21-22-2-21-12-1-1201-21-2-1-1121003−333−3−32-2−2i2iii−i−i-1-1110003−333−3−300000000−2i2i3−3-11i3−i32-2ii−i−ii3i3−i3−i3−2i2i000000-11003−300000i−ii3−i30000000
χ472-22-2-122-21-22-2-21-12-1-1201-21-2-1-1121003−333−3−3-222i−2i−i−iii-1-1110003−333−3−3000000002i−2i−331-1−i3i3-22−i−iii−i3−i3i3i3−2i2i0000001-100−3300000i−ii3−i30000000
χ482-22-2-122-21-22-2-21-12-1-1201-21-2-1-1121003−333−3−3-22−2i2iii−i−i-1-1110003−333−3−300000000−2i2i−331-1i3−i3-22ii−i−ii3i3−i3−i32i−2i0000001-100−3300000−ii−i3i30000000
χ492-22-2-122-21-22-2-21-12-1-1201-21-2-1-112100−33−3−3332-22i−2i−i−iii-1-111000−33−3−333000000002i−2i−33-11i3−i32-2−i−iiii3i3−i3−i32i−2i000000-1100−3300000−iii3−i30000000
χ502-22-2-122-21-22-2-21-12-1-1201-21-2-1-112100−33−3−3332-2−2i2iii−i−i-1-111000−33−3−33300000000−2i2i−33-11−i3i32-2ii−i−i−i3−i3i3i3−2i2i000000-1100−3300000i−i−i3i30000000
χ512-22-2-122-21-22-2-21-12-1-1201-21-2-1-112100−33−3−333-222i−2i−i−iii-1-111000−33−3−333000000002i−2i3−31-1i3−i3-22−i−iiii3i3−i3−i3−2i2i0000001-1003−300000i−i−i3i30000000
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χ574444-24-24-24-2-2-2-2-24-21-24-2-21-2-211-2-2-2-2-2-211110044-2-2-2-211114-2-2-2-21111004000-2-2-2-20000-2-20011111111000000000000000000000000000000
χ584444-24-24-24-2-2-2-2-24-21-24-2-21-2-211-2-2-2-2-2-2111100-4-4222211114-2-2-2-2111100-4000222200002200-1-1-1-1-1-1-1-1000000000000000000000000000000
χ594444-24-24-24-2-2-2-2-24-21-2-4-2-21-2-211-2-22222-1-1-1-10044-2-2-2-21111-42222-1-1-1-100-400022-2-2000022001111-1-1-1-1000000000000000000000000000000
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χ784-44-44-242-424-4-4-44-2-24-2022-42-24-4-22000000004-4000000-2-2220000000000000000000004-400-220000000000000000-2200000000000000000000
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χ814-44-4-24-2-42-4-2222-24-21-2022-12-21-1-220023−23−3−33300−4i4i2i2i−2i−2i11-1-100023−23−3−333000000002i−2i00002i3−2i300−i−iii−i3−i3i3i3000000000000000000000000000000
χ824-44-4-24-2-42-4-2222-24-21-2022-12-21-1-2200−232333−3−3004i−4i−2i−2i2i2i11-1-1000−232333−3−300000000−2i2i00002i3−2i300ii−i−i−i3−i3i3i3000000000000000000000000000000
χ834-44-4-24-2-42-4-2222-24-21-2022-12-21-1-2200−232333−3−300−4i4i2i2i−2i−2i11-1-1000−232333−3−3000000002i−2i0000−2i32i300−i−iiii3i3−i3−i3000000000000000000000000000000
χ844-44-4-2-242224-4-42-2-21-2-20-12221-22-2-10023−232323−23−234-400000011-1-1000−33−3−333000000000023−23-2200-2200000000000000001-100−330000000000000000
χ854-44-4-2-242224-4-42-2-21-2-20-12221-22-2-10023−232323−23−23-4400000011-1-1000−33−3−3330000000000−23232-2002-20000000000000000-11003−30000000000000000
χ864-44-4-2-242224-4-42-2-21-2-20-12221-22-2-100−2323−23−2323234-400000011-1-10003−333−3−30000000000−2323-2200-2200000000000000001-1003−30000000000000000
χ874-44-4-2-242224-4-42-2-21-2-20-12221-22-2-100−2323−23−232323-4400000011-1-10003−333−3−3000000000023−232-2002-20000000000000000-1100−330000000000000000
χ884-4-4444444-4-4-44-4-4-4444044-4-4-4-44-4-400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-244-422-2-4-4-44-2-204-222-42-22-423−230023−23−232300000000-22-22023−230023−23−232300000000000000000000000000000000000000000000000000000000
χ904-4-4444-244-422-2-4-4-44-2-204-222-42-22-4−232300−232323−2300000000-22-220−232300−232323−2300000000000000000000000000000000000000000000000000000000
χ914-4-444-24-242-4-44-4-42-24-20-2-2-422-44220000000000000000-22-220000000000000−2i32i300000000000000000000000−2i32i30000000000000000000000000
χ924-4-444-24-242-4-44-4-42-24-20-2-2-422-44220000000000000000-22-2200000000000002i3−2i3000000000000000000000002i3−2i30000000000000000000000000
χ934-4-444-2-2-24222-2-4-42-2-210-212-122-2-1223−230023−23−2323000000001-11-10−3300−333−30000−2i32i300000000000000000000000i3−i3000003i−3i000000000000000000
χ944-4-444-2-2-24222-2-4-42-2-210-212-122-2-1223−230023−23−2323000000001-11-10−3300−333−300002i3−2i300000000000000000000000−i3i300000−3i3i000000000000000000
χ954-4-444-2-2-24222-2-4-42-2-210-212-122-2-12−232300−232323−23000000001-11-103−3003−3−330000−2i32i300000000000000000000000i3−i300000−3i3i000000000000000000
χ964-4-444-2-2-24222-2-4-42-2-210-212-122-2-12−232300−232323−23000000001-11-103−3003−3−3300002i3−2i300000000000000000000000−i3i3000003i−3i000000000000000000
χ974-4-44-2444-2-4-4-4422-4-2-240-242-422-2-42000000000000−2i32i32i3−2i3-22-22000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ984-4-44-2444-2-4-4-4422-4-2-240-242-422-2-420000000000002i3−2i3−2i32i3-22-220000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ994-4-44-24-24-2-422-222-4-21-20-2-2-122-112223−2300−333−30000−2i32i32i3−2i31-11-1023−2300−333−3000000000000000000i3−i3−i3i3−3i3i3i−3i000000000000000000000000000000
χ1004-4-44-24-24-2-422-222-4-21-20-2-2-122-112223−2300−333−300002i3−2i3−2i32i31-11-1023−2300−333−3000000000000000000−i3i3i3−i33i−3i−3i3i000000000000000000000000000000
χ1014-4-44-24-24-2-422-222-4-21-20-2-2-122-1122−2323003−3−330000−2i32i32i3−2i31-11-10−2323003−3−33000000000000000000i3−i3−i3i33i−3i−3i3i000000000000000000000000000000
χ1024-4-44-24-24-2-422-222-4-21-20-2-2-122-1122−2323003−3−3300002i3−2i3−2i32i31-11-10−2323003−3−33000000000000000000−i3i3i3−i3−3i3i3i−3i000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-44-8-44-448-84-4-4204-2-42444-2-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4844-4-88-8-4442-4-40-24-4-4-2444200000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-444-44-44-4442220-2-222-2-2-2-2200006-66-600000000-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-444-44-44-4442220-2-222-2-2-2-220000-66-6600000000-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-44-84-444-88-4-4-4204-24-2-4-4424000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-4444-4-42220-2-2-2-222-22-20043−43−23−23232300000000-1-111000−232333−3−300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4444-4444-4-42220-2-2-2-222-22-200−43432323−23−2300000000-1-11100023−23−3−33300000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-4-44-8-884442-4-402-444-24-44-200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-4-4444-4444222022-2-2-2-22-2-243−4300−232323−2300000000-11-110−2323003−3−3300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-4-4444-4444222022-2-2-2-22-2-2−43430023−23−232300000000-11-11023−2300−333−300000000000000000000000000000000000000000000000000000000

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