Finite Group Databasebeta

← Group #13167978

Character table — Group #13167978

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666633346666666661212444444366612121212121212121212121222224441212121212121212121212121212121244446666121212121212121212121212121212124441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-111111111-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111111111-1-1-1-111-1-111-1-1-1-1-1-1111-111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-111-111111-1-1-1-11111-11-1-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-111-1-1111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1111111-1-1-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-1111-1111-1-111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-1-11111-1-11-1111-1-111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1111111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-11111-1-1-1-11
χ17222222-1-122-1-122222-1-122-1-1-1-122-1-1-1-1222200-1-1-1-122-1-1-1-122-1-1-1-122222200000-1-1-1-1-1-1-1-122220000-1-1-1-100220000-1-1-1-1-1-1-1-1002-1-1000000000
χ18222222-1-122-1-122222-1-122-1-1-1-122-1-1-1-122-2-200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-22-200000-1-1-1-1111122-2-200001111002-20000-1-1-1-1111100-211000000000
χ19222222-1-122-1-122222-1-122-1-1-1-122-1-1-1-1-2-22200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-22000001111-1-1-1-1-2-2220000111100-2200001111-1-1-1-100-211000000000
χ20222222-1-122-1-122222-1-122-1-1-1-122-1-1-1-1-2-2-2-200-1-1-1-122-1-1-1-122-1-1-1-12222-2-20000011111111-2-2-2-20000-1-1-1-100-2-2000011111111002-1-1000000000
χ21222222-1-122-1-122222-1-1-22-1-1-1-122-1-111222200-1-1-1-1-2-21111-2-211112222-2-200000-1-111-1-11122220000-1-1-1-100-2-20000-1-111-1-11100-211000000000
χ22222222-1-122-1-122222-1-1-22-1-1-1-122-1-11122-2-200-1-1-1-1-2-21111-2-21111-2-2-2-2-2200000-1-11111-1-122-2-20000111100-220000-1-11111-1-1002-1-1000000000
χ23222222-1-122-1-122222-1-1-22-1-1-1-122-1-111-2-22200-1-1-1-1-2-21111-2-21111-2-2-2-22-20000011-1-1-1-111-2-22200001111002-2000011-1-1-1-111002-1-1000000000
χ24222222-1-122-1-122222-1-1-22-1-1-1-122-1-111-2-2-2-200-1-1-1-1-2-21111-2-211112222220000011-1-111-1-1-2-2-2-20000-1-1-1-10022000011-1-111-1-100-211000000000
χ2522222-1222-1222-12-1-12-12-12-12-1-1-12-122002222-1-1-1-12-122-1-1-1-1-1-1-1-1000002222-1-10000222200-1-1002200002-10-1-1-1-1-10000-1-1-1-10200000-1-1000-10
χ2622222-1222-1222-12-1-12-12-12-12-1-1-12-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1000002-2-2-2110000222200-1-100-2-20000-210-111110000-1-1-1-10-2000001100010
χ2722222-1222-1222-12-1-12-12-12-12-1-1-12-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-100000-2222-1-10000-2-2-2-2001100-2-200002-101-1-1-1-1000011110-2000001100010
χ2822222-1222-1222-12-1-12-12-12-12-1-1-12-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-100000-2-2-2-2110000-2-2-2-2001100220000-21011111000011110200000-1-1000-10
χ2922222-1222-1222-12-1-12-1-2-12-12-1-1-12-1-2-2002222-1-1-1-1-21-2-21111111100000-2-222-1-1000022-2-200-1-100220000-2101-1-1110000-1-1110-200000-1-100010
χ3022222-1222-1222-12-1-12-1-2-12-12-1-1-12-1-2-20022-2-2-1-1-1-1-21-2-21111111100000-22-2-211000022-2-200-1-100-2-200002-10111-1-10000-1-111020000011000-10
χ3122222-1222-1222-12-1-12-1-2-12-12-1-1-12-1-2-200-2-222-1-1-1-1-21-2-211111111000002-222-1-10000-2-222001100-2-20000-210-1-1-111000011-1-1020000011000-10
χ3222222-1222-1222-12-1-12-1-2-12-12-1-1-12-1-2-200-2-2-2-2-1-1-1-1-21-2-2111111110000022-2-2110000-2-2220011002200002-10-111-1-1000011-1-10-200000-1-100010
χ332222-1222-1222-12-12-1-122-1-12-12-1-1-1222220022-1-1-1-1-12-1-122-1-1-1-1-1-10000202-1-12222220000-1-10022000000-12-10-1-1-1-1-1-1-1-1000020000-1-10000-100
χ342222-1222-1222-12-12-1-122-1-12-12-1-1-12222200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1000020-211-2-222220000-1-100-2-20000001-2-101111-1-1-1-10000-20000110000100
χ352222-1222-1222-12-12-1-122-1-12-12-1-1-1222-2-20022-1-1-1-1-12-1-122-1-1-1-1-1-10000-202-1-122-2-2-2-200001100-2-2000000-1210-1-1-1-111110000-20000110000100
χ362222-1222-1222-12-12-1-122-1-12-12-1-1-1222-2-200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10000-20-211-2-2-2-2-2-200001100220000001-21011111111000020000-1-10000-100
χ372222-1222-1222-12-12-1-12-2-1-12-12-1-1-12-2-2220022-1-1-1-11-211-2-21111110000-20-2-1-12222-2-20000-1-100220000001-210-1-111-1-1110000-20000-1-10000100
χ382222-1222-1222-12-12-1-12-2-1-12-12-1-1-12-2-22200-2-2-1-1-1-11-211-2-21111110000-20211-2-222-2-20000-1-100-2-2000000-121011-1-1-1-111000020000110000-100
χ392222-1222-1222-12-12-1-12-2-1-12-12-1-1-12-2-2-2-20022-1-1-1-11-211-2-2111111000020-2-1-122-2-22200001100-2-20000001-2-10-1-11111-1-1000020000110000-100
χ402222-1222-1222-12-12-1-12-2-1-12-12-1-1-12-2-2-2-200-2-2-1-1-1-11-211-2-2111111000020211-2-2-2-2220000110022000000-12-1011-1-111-1-10000-20000-1-10000100
χ4122-2-2222222-2-2-2-2-2-22220-222-2-22-2-2-20000002-222-2-200000000000022-2-20002-22-2000000000000000022-2-200002-200000000000000000002-2000
χ4222-2-2222222-2-2-2-2-2-22220-222-2-22-2-2-20000002-222-2-2000000000000-2-2220002-22-20000000000000000-2-22200002-20000000000000000000-22000
χ4322-2-2222222-2-2-2-2-2-22220-222-2-22-2-2-2000000-2222-2-200000000000022-2-2000-22-22000000000000000022-2-20000-220000000000000000000-22000
χ4422-2-2222222-2-2-2-2-2-22220-222-2-22-2-2-2000000-2222-2-2000000000000-2-222000-22-220000000000000000-2-2220000-2200000000000000000002-2000
χ452-22-2222-2-2-2-22-2-22222202-2-2-2-2-2-222000000002-22-20000000000002-22-200000000000000000002i−2i2i−2i2-22-20000000000000000000002i−2i2i−2i00000
χ462-22-2222-2-2-2-22-2-22222202-2-2-2-2-2-222000000002-22-20000000000002-22-20000000000000000000−2i2i−2i2i2-22-2000000000000000000000−2i2i−2i2i00000
χ472-22-2222-2-2-2-22-2-22222202-2-2-2-2-2-222000000002-22-2000000000000-22-2200000000000000000002i−2i−2i2i-22-220000000000000000000002i−2i−2i2i00000
χ482-22-2222-2-2-2-22-2-22222202-2-2-2-2-2-222000000002-22-2000000000000-22-220000000000000000000−2i2i2i−2i-22-22000000000000000000000−2i2i2i−2i00000
χ492-2-22222-2-2-22-222-2-22220-2-2-222-22-2-2002i−2i2i−2i002-2-220000000000002-2-2200000002i−2i002i−2i002i−2i2i−2i00002-2-22000000002i−2i002i−2i0000000000000000
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χ522-2-22222-2-2-22-222-2-22220-2-2-222-22-2-200−2i2i−2i2i002-2-220000000000002-2-220000000−2i2i00−2i2i00−2i2i−2i2i00002-2-2200000000−2i2i00−2i2i0000000000000000
χ532-2-2222-11-2-2-1122-2-22-1-10-211-1-1-2211−i3i32i−2i2i−2i00-111-100−i3i3−i3i300−i3−i3i3i32-2-220000000−ii3−3−ii3−32i−2i2i−2i0000-111-100000000−ii3−3−ii3−3000−i3i3000000000
χ542-2-2222-11-2-2-1122-2-22-1-10-211-1-1-2211−i3i32i−2i−2i2i00-111-100−i3i3−i3i300−i3−i3i3i3-222-20000000−ii3−3i−i−332i−2i−2i2i00001-1-1100000000−ii3−3i−i−33000i3−i3000000000
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χ864-44-44-24-4-42-44-424-2-24-20-2-42-42224-200000000-22-220000000000000000000000000000000000000−4i4i0000000000000000000000000002i−2i00000
χ874-44-4-244-42-4-442-4-24-2-240-22-42-422-2400000000-22-22000000000000000000000000000000000004i−4i000000000000000000000000000−2i2i0000000
χ884-44-4-244-42-4-442-4-24-2-240-22-42-422-2400000000-22-2200000000000000000000000000000000000−4i4i0000000000000000000000000002i−2i0000000
χ894-4-444-24-4-424-44-2-42-24-202-424-22-2-4200004i−4i00-222-20000000000000000000000000004i−4i0000−2i2i00000000000000000000−2i2i0000000000000000
χ904-4-444-24-4-424-44-2-42-24-202-424-22-2-420000−4i4i00-222-2000000000000000000000000000−4i4i00002i−2i000000000000000000002i−2i0000000000000000
χ914-4-444-2-22-42-224-2-42-2-21022-1-212-22-1−2i32i3004i−4i001-1-1100−2i32i3i3−i300i3i3−i3−i3000000000000000−2i2i23−2300−2i2i00000000000000000000i−i−3300000000000000
χ924-4-444-2-22-42-224-2-42-2-21022-1-212-22-1−2i32i300−4i4i001-1-1100−2i32i3i3−i300i3i3−i3−i30000000000000002i−2i−2323002i−2i00000000000000000000−ii3−300000000000000
χ934-4-444-2-22-42-224-2-42-2-21022-1-212-22-12i3−2i3004i−4i001-1-11002i3−2i3−i3i300−i3−i3i3i3000000000000000−2i2i−232300−2i2i00000000000000000000i−i3−300000000000000
χ944-4-444-2-22-42-224-2-42-2-21022-1-212-22-12i3−2i300−4i4i001-1-11002i3−2i3−i3i300−i3−i3i3i30000000000000002i−2i23−23002i−2i00000000000000000000−ii−3300000000000000
χ954-4-44-244-42-44-4-242-4-2-24022-4-242-22-4004i−4i0000-222-2000000000000000000000004i−4i000000−2i2i000000000000000000−2i2i00000000000000000000
χ964-4-44-244-42-44-4-242-4-2-24022-4-242-22-400−4i4i0000-222-200000000000000000000000−4i4i0000002i−2i0000000000000000002i−2i00000000000000000000
χ974-4-44-24-222-4-22-242-4-21-202-121-22-2-12−2i32i34i−4i00001-1-1100i3−i3−2i32i300i3i3−i3−i300000000000−2i2i23−230000−2i2i000000000000000000i−i−33000000000000000000
χ984-4-44-24-222-4-22-242-4-21-202-121-22-2-12−2i32i3−4i4i00001-1-1100i3−i3−2i32i300i3i3−i3−i3000000000002i−2i−232300002i−2i000000000000000000−ii3−3000000000000000000
χ994-4-44-24-222-4-22-242-4-21-202-121-22-2-122i3−2i34i−4i00001-1-1100−i3i32i3−2i300−i3−i3i3i300000000000−2i2i−23230000−2i2i000000000000000000i−i3−3000000000000000000
χ1004-4-44-24-222-4-22-242-4-21-202-121-22-2-122i3−2i3−4i4i00001-1-1100−i3i32i3−2i300−i3−i3i3i3000000000002i−2i23−2300002i−2i000000000000000000−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
χ10388-8-88-4-4-48-444-84-84-4-4204-424-2-444-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-4-48444-84-8-42-4042-4-24-44-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-4-4-44444442220-222-2-22-2-2-200000000-1-1110000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-4-44444442220-222-2-22-2-2-200000000-1-111000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-44-844-4-848-4-4-420-44-24-244-42000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-444-84-44-8-48-42-40-4-24-24442-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48-844-8844-4-42-4-4024444-2-2-4-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44444-444-4-422202-2-2-2-2-2-22200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44444-444-4-422202-2-2-2-2-2-22200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-8448-8-4-4442-4-40-244-4-4-2244000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-44-4-4442220-2-2-222-22-2-2−4i34i3000000-111-1002i3−2i32i3−2i300−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-44-4-4442220-2-2-222-22-2-24i3−4i3000000-111-100−2i32i3−2i32i300i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000

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