Finite Group Databasebeta

← Group #13167967

Character table — Group #13167967

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666633346666666661212444444366612121212121212121212121222224441212121212121212121212121212121244446666121212121212121212121212121212124441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111-1-11111-1-1-1-1111111-1-1-1-1-1-11-11111111111-1-1-1-1-11-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-111-1-1-1-111111111-1-111-1-1-1-1-11111111-1-1-1-11111-1-11-1-111-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-111-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1111-1-111-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111111-1-111-1-1-1-11111-1-1-11111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11-1-1-1-1-111-1-11111-1-111-1-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-11111-1-11-1111-1-11111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-111-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-11
χ17222222-1-12222-1-1222-1-122-1-1-1-122-1-1-1-1222200-1-1-1-122-1-1-1-122-1-1-1-122222202222-1-1-1-1-1-1-1-100000000-1-1-1-122000000-1-1-1-1-1-1-1-12000000-1-100000
χ18222222-1-12222-1-1222-1-122-1-1-1-122-1-1-1-122-2-200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-22-2022-2-2-1-1-1-111110000000011112-2000000-1-1-1-11111-20000001100000
χ19222222-1-12222-1-1222-1-122-1-1-1-122-1-1-1-1-2-22200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-220-2-2221111-1-1-1-1000000001111-220000001111-1-1-1-1-20000001100000
χ20222222-1-12222-1-1222-1-122-1-1-1-122-1-1-1-1-2-2-2-200-1-1-1-122-1-1-1-122-1-1-1-12222-2-20-2-2-2-21111111100000000-1-1-1-1-2-2000000111111112000000-1-100000
χ21222222-1-12222-1-1222-1-1-22-1-1-1-122-1-111222200-1-1-1-1-2-21111-2-211112222-2-202222-1-111-1-11100000000-1-1-1-1-2-2000000-1-111-1-111-20000001100000
χ22222222-1-12222-1-1222-1-1-22-1-1-1-122-1-11122-2-200-1-1-1-1-2-21111-2-21111-2-2-2-2-22022-2-2-1-11111-1-1000000001111-22000000-1-11111-1-12000000-1-100000
χ23222222-1-12222-1-1222-1-1-22-1-1-1-122-1-111-2-22200-1-1-1-1-2-21111-2-21111-2-2-2-22-20-2-22211-1-1-1-1110000000011112-200000011-1-1-1-1112000000-1-100000
χ24222222-1-12222-1-1222-1-1-22-1-1-1-122-1-111-2-2-2-200-1-1-1-1-2-21111-2-211112222220-2-2-2-211-1-111-1-100000000-1-1-1-12200000011-1-111-1-1-20000001100000
χ2522222-12222-1-1222-1-12-12-12-12-1-1-12-122002222-1-1-1-12-122-1-1-1-1-1-1-1-1000002200-1-10000222222-1-1002200000-12-1-1-1-1-10000-1-1-1-100200-1-100000-10
χ2622222-12222-1-1222-1-12-12-12-12-1-1-12-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1000002-200-1-100002222-2-21100-2-200000-1-2111110000-1-1-1-100-200110000010
χ2722222-12222-1-1222-1-12-12-12-12-1-1-12-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-100000-2200110000-2-2-2-222-1-100-2-20000012-1-1-1-1-10000111100-200110000010
χ2822222-12222-1-1222-1-12-12-12-12-1-1-12-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-100000-2-200110000-2-2-2-2-2-2110022000001-2111110000111100200-1-100000-10
χ2922222-12222-1-1222-1-12-1-2-12-12-1-1-12-1-2-2002222-1-1-1-1-21-2-21111111100000-2-200-1-1000022-2-222-1-10022000001-2111-1-10000-1-11100-200-1-10000010
χ3022222-12222-1-1222-1-12-1-2-12-12-1-1-12-1-2-20022-2-2-1-1-1-1-21-2-21111111100000-2200-1-1000022-2-2-2-21100-2-20000012-1-1-1110000-1-111002001100000-10
χ3122222-12222-1-1222-1-12-1-2-12-12-1-1-12-1-2-200-2-222-1-1-1-1-21-2-211111111000002-200110000-2-22222-1-100-2-200000-1-2111-1-1000011-1-1002001100000-10
χ3222222-12222-1-1222-1-12-1-2-12-12-1-1-12-1-2-200-2-2-2-2-1-1-1-1-21-2-211111111000002200110000-2-222-2-211002200000-12-1-1-111000011-1-100-200-1-10000010
χ332222-1222-1-12222-12-1-122-1-12-12-1-1-1222220022-1-1-1-1-12-1-122-1-1-1-1-1-10000202-1-10022220000-1-12222000000-10-12-1-1-1-1-1-1-1-10000020-1-1000000-100
χ342222-1222-1-12222-12-1-122-1-12-12-1-1-12222200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1000020-2-1-1002222000011-2-2-2-2000000-101-21111-1-1-1-100000-2011000000100
χ352222-1222-1-12222-12-1-122-1-12-12-1-1-1222-2-20022-1-1-1-1-12-1-122-1-1-1-1-1-10000-2021100-2-2-2-20000-1-122-2-200000010-12-1-1-1-1111100000-2011000000100
χ362222-1222-1-12222-12-1-122-1-12-12-1-1-1222-2-200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10000-20-21100-2-2-2-2000011-2-222000000101-2111111110000020-1-1000000-100
χ372222-1222-1-12222-12-1-12-2-1-12-12-1-1-12-2-2220022-1-1-1-11-211-2-21111110000-20-2-1-10022-2-20000-1-12222000000101-211-1-1-1-11100000-20-1-1000000100
χ382222-1222-1-12222-12-1-12-2-1-12-12-1-1-12-2-22200-2-2-1-1-1-11-211-2-21111110000-202-1-10022-2-2000011-2-2-2-200000010-12-1-111-1-111000002011000000-100
χ392222-1222-1-12222-12-1-12-2-1-12-12-1-1-12-2-2-2-20022-1-1-1-11-211-2-2111111000020-21100-2-2220000-1-122-2-2000000-101-211-1-111-1-1000002011000000-100
χ402222-1222-1-12222-12-1-12-2-1-12-12-1-1-12-2-2-2-200-2-2-1-1-1-11-211-2-211111100002021100-2-222000011-2-222000000-10-12-1-11111-1-100000-20-1-1000000100
χ4122-2-222222-22-2-2-2-2-22220222-2-2-2-2-2-20000000022-2-200000000000022-2-200000000000000000002-22-222-2-200000000000000000002-22-20000000
χ4222-2-222222-22-2-2-2-2-22220222-2-2-2-2-2-20000000022-2-200000000000022-2-20000000000000000000-22-2222-2-20000000000000000000-22-220000000
χ4322-2-222222-22-2-2-2-2-22220222-2-2-2-2-2-20000000022-2-2000000000000-2-22200000000000000000002-2-22-2-22200000000000000000002-2-220000000
χ4422-2-222222-22-2-2-2-2-22220222-2-2-2-2-2-20000000022-2-2000000000000-2-2220000000000000000000-222-2-2-2220000000000000000000-222-20000000
χ452-22-2222-2-22-22-22-2-22220-2-2-2-2-22-2220000002i−2i2-22-20000000000002-22-20000000000000002i−2i2i−2i00002-22-20000002i−2i000000000000000002i−2i000
χ462-22-2222-2-22-22-22-2-22220-2-2-2-2-22-2220000002i−2i2-22-2000000000000-22-220000000000000002i−2i2i−2i0000-22-220000002i−2i00000000000000000−2i2i000
χ472-22-2222-2-22-22-22-2-22220-2-2-2-2-22-222000000−2i2i2-22-20000000000002-22-2000000000000000−2i2i−2i2i00002-22-2000000−2i2i00000000000000000−2i2i000
χ482-22-2222-2-22-22-22-2-22220-2-2-2-2-22-222000000−2i2i2-22-2000000000000-22-22000000000000000−2i2i−2i2i0000-22-22000000−2i2i000000000000000002i−2i000
χ492-2-22222-2-2-2-2-22-2222220-2-2-222-22-2-2002i−2i2i−2i002-2-220000000000002-2-220002i−2i2i−2i2i−2i002i−2i00000000002-2-22000000002i−2i002i−2i0000000000000000
χ502-2-22222-2-2-2-2-22-2222220-2-2-222-22-2-2002i−2i−2i2i002-2-22000000000000-222-20002i−2i−2i2i2i−2i00−2i2i0000000000-222-2000000002i−2i00−2i2i0000000000000000
χ512-2-22222-2-2-2-2-22-2222220-2-2-222-22-2-200−2i2i2i−2i002-2-22000000000000-222-2000−2i2i2i−2i−2i2i002i−2i0000000000-222-200000000−2i2i002i−2i0000000000000000
χ522-2-22222-2-2-2-2-22-2222220-2-2-222-22-2-200−2i2i−2i2i002-2-220000000000002-2-22000−2i2i−2i2i−2i2i00−2i2i00000000002-2-2200000000−2i2i00−2i2i0000000000000000
χ532-2-2222-11-2-2-2-2-11222-1-10-211-1-1-2211−i3i32i−2i2i−2i00-111-100−i3i3−i3i300−i3−i3i3i32-2-220002i−2i2i−2i−ii3−3−ii3−300000000-111-100000000−ii3−3−ii3−30000000−i3i300000
χ542-2-2222-11-2-2-2-2-11222-1-10-211-1-1-2211−i3i32i−2i−2i2i00-111-100−i3i3−i3i300−i3−i3i3i3-222-20002i−2i−2i2i−ii3−3i−i−33000000001-1-1100000000−ii3−3i−i−330000000i3−i300000
χ552-2-2222-11-2-2-2-2-11222-1-10-211-1-1-2211−i3i3−2i2i2i−2i00-111-100−i3i3−i3i300−i3−i3i3i3-222-2000−2i2i2i−2ii−i−33−ii3−3000000001-1-1100000000i−i−33−ii3−30000000i3−i300000
χ562-2-2222-11-2-2-2-2-11222-1-10-211-1-1-2211−i3i3−2i2i−2i2i00-111-100−i3i3−i3i300−i3−i3i3i32-2-22000−2i2i−2i2ii−i−33i−i−3300000000-111-100000000i−i−33i−i−330000000−i3i300000
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χ582-2-2222-11-2-2-2-2-11222-1-10-211-1-1-2211i3−i32i−2i−2i2i00-111-100i3−i3i3−i300i3i3−i3−i3-222-20002i−2i−2i2i−ii−33i−i3−3000000001-1-1100000000−ii−33i−i3−30000000−i3i300000
χ592-2-2222-11-2-2-2-2-11222-1-10-211-1-1-2211i3−i3−2i2i2i−2i00-111-100i3−i3i3−i300i3i3−i3−i3-222-2000−2i2i2i−2ii−i3−3−ii−33000000001-1-1100000000i−i3−3−ii−330000000−i3i300000
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χ864-44-4-2-24-42-22-2-44221-2-20-122221-1-2-20000004i−4i1-11-1000000−3i3i−3i3i−3i3i0000000000000000000−2i2i−2i2i000000000000-33i−i0000000000000000000000
χ874-44-4-2-24-42-22-2-44221-2-20-122221-1-2-2000000−4i4i1-11-10000003i−3i3i−3i3i−3i00000000000000000002i−2i2i−2i000000000000-33−ii0000000000000000000000
χ884-44-4-2-24-42-22-2-44221-2-20-122221-1-2-2000000−4i4i1-11-1000000−3i3i−3i3i−3i3i00000000000000000002i−2i2i−2i0000000000003-3−ii0000000000000000000000
χ894-4-444-24-4-4-4224-44-2-24-202-424-22-2-4200004i−4i00-222-2000000000000000000000−2i2i00004i−4i00000000000000000000000000−2i2i0000000000000000
χ904-4-444-24-4-4-4224-44-2-24-202-424-22-2-420000−4i4i00-222-20000000000000000000002i−2i0000−4i4i000000000000000000000000002i−2i0000000000000000
χ914-4-444-2-22-4-422-224-2-2-21022-1-212-22-1−2i32i3004i−4i001-1-1100−2i32i3i3−i300i3i3−i3−i3000000000−2i2i0000−2i2i23−23000000000000000000000000i−i−3300000000000000
χ924-4-444-2-22-4-422-224-2-2-21022-1-212-22-1−2i32i300−4i4i001-1-1100−2i32i3i3−i300i3i3−i3−i30000000002i−2i00002i−2i−2323000000000000000000000000−ii3−300000000000000
χ934-4-444-2-22-4-422-224-2-2-21022-1-212-22-12i3−2i3004i−4i001-1-11002i3−2i3−i3i300−i3−i3i3i3000000000−2i2i0000−2i2i−2323000000000000000000000000i−i3−300000000000000
χ944-4-444-2-22-4-422-224-2-2-21022-1-212-22-12i3−2i300−4i4i001-1-11002i3−2i3−i3i300−i3−i3i3i30000000002i−2i00002i−2i23−23000000000000000000000000−ii−3300000000000000
χ954-4-44-244-422-4-44-4-24-2-24022-4-242-22-4004i−4i0000-222-20000000000000000000−2i2i004i−4i00000000000000000000000000−2i2i00000000000000000000
χ964-4-44-244-422-4-44-4-24-2-24022-4-242-22-400−4i4i0000-222-200000000000000000002i−2i00−4i4i000000000000000000000000002i−2i00000000000000000000
χ974-4-44-24-2222-4-4-22-24-21-202-121-22-2-12−2i32i34i−4i00001-1-1100i3−i3−2i32i300i3i3−i3−i30000000−2i2i00−2i2i23−23000000000000000000000000i−i−33000000000000000000
χ984-4-44-24-2222-4-4-22-24-21-202-121-22-2-12−2i32i3−4i4i00001-1-1100i3−i3−2i32i300i3i3−i3−i300000002i−2i002i−2i−2323000000000000000000000000−ii3−3000000000000000000
χ994-4-44-24-2222-4-4-22-24-21-202-121-22-2-122i3−2i34i−4i00001-1-1100−i3i32i3−2i300−i3−i3i3i30000000−2i2i00−2i2i−2323000000000000000000000000i−i3−3000000000000000000
χ1004-4-44-24-2222-4-4-22-24-21-202-121-22-2-122i3−2i3−4i4i00001-1-1100−i3i32i3−2i300−i3−i3i3i300000002i−2i002i−2i23−23000000000000000000000000−ii−33000000000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4-48-8-4444-84-4-420-4-424-2444-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-4-448-8444-8-42-40-42-4-2444-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-488-44-44-8-8442-4-402-4-444-2-2440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-44-4444442220222-2-2-2-2-2-200000000-1-1110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-4-44-4444442220222-2-2-2-2-2-200000000-1-11100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-44-884-44-4-84-4-42044-24-2-44-42000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-444-4-884-44-8-42-404-24-24-442-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-444-44-44-4442220-2-2-2-2-22-22200000000-11-110000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-444-44-44-4442220-2-2-2-2-22-22200000000-11-11000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-844448-8-4-42-4-40-244-4-4-2244000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-42220-2-2-222-22-2-2−4i34i3000000-111-1002i3−2i32i3−2i300−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-42220-2-2-222-22-2-24i3−4i3000000-111-100−2i32i3−2i32i300i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000

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