Finite Group Databasebeta

← Group #13169287

Character table — Group #13169287

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order1222333446666666663336666666661212121212123666121212121212121212124444224444666612121212224444444412121212666666121212121212121212121212121266121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-111-1-1-1-111-1-111-1-111111-111-1-11-11-11-111-1-111-1-1-1-111-1-111-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-111-1-1-1-1-1-111-1-11111111-111-1-1-111-1-1111-1-1-1-111-1-1-1-111-1-111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-1-1-1-111-1-1111111-11-1-1111-1-111-1-1-11111-1-1-1-1-1-111-1-1111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-111-1-111-1-111-1-11111-11-1-111-11-11-11-1-111-1-111-1-111-1-111-1-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1111111-1-1-1-111-1-1-1-11-111-1-11-1-111-1-1-11111-1-11111-1-1-1-111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11111-1-1-1-1-1-11-111-1-1-11-11-11-1-111-1-11111-1-11111-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-11111-1-1-1-1-1-1-11-1-1111-11-11-111-1-111-1-111-1-11111-1-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-1-11-1-111-111-1-1111-1-1-1-1111111-1-1-1-1111-1
χ17222222-122-1-1222222-12-1-122-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-12200000000-1-1-1-122-1-1-1-1002200-1-1-1-10000-1-10000000000
χ18222222-122-1-1222222-12-1-122-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-2-200111111112200000000-1-1-1-1-2-2111100-2-20011110000-1-10000000000
χ19222222-122-1-1222222-12-1-122-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222-2-200-1-1-1-11111-2-200000000111122-1-1-1-100-2-20011110000110000000000
χ20222222-122-1-1222222-12-1-122-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-222001111-1-1-1-1-2-2000000001111-2-21111002200-1-1-1-10000110000000000
χ21222222-1-2-2-1-1222222-12-1-122-1-1-1-1-12-1-2-2-2-211-1-1-1-111-2-211111122222-22-200-1-111-1-111-2-200000000-1-1-1-12-2-1-111002-200-1-1110000110000000000
χ22222222-1-2-2-1-1222222-12-1-122-1-1-1-1-12-1-2-2-2-211-1-1-1-111-2-21111112222-22-220011-1-111-1-1-2-200000000-1-1-1-1-2211-1-100-220011-1-10000110000000000
χ23222222-1-2-2-1-1222222-12-1-122-1-1-1-1-12-1-2-2-2-211-1-1-1-111-2-2111111-2-2-2-22-2-2200-1-11111-1-1220000000011112-2-1-11100-220011-1-10000-1-10000000000
χ24222222-1-2-2-1-1222222-12-1-122-1-1-1-1-12-1-2-2-2-211-1-1-1-111-2-2111111-2-2-2-2-222-20011-1-1-1-11122000000001111-2211-1-1002-200-1-1110000-1-10000000000
χ2522222-122222-122-1-122-12-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-100002200222222000000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-100-1-1-1-1000000
χ2622222-122222-122-1-122-12-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-100002200-2-22222000000-2-2-2-200000000-1-1-1-1-1-11100-2-200001111001111000000
χ2722222-122222-122-1-122-12-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000-2-20022-2-2-2-2000000-2-2-2-200000000111111-1-100220000-1-1-1-1001111000000
χ2822222-122222-122-1-122-12-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000-2-200-2-2-2-2-2-20000002222000000001111111100-2-20000111100-1-1-1-1000000
χ2922222-12-2-222-122-1-122-12-1-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-2111100002-2002-222-2-200000022-2-200000000-11-1-111-11002-20000-1-11100-1-111000000
χ3022222-12-2-222-122-1-122-12-1-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-2111100002-200-2222-2-2000000-2-22200000000-11-1-1111-100-22000011-1-10011-1-1000000
χ3122222-12-2-222-122-1-122-12-1-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-211110000-22002-2-2-222000000-2-222000000001-111-1-1-11002-20000-1-1110011-1-1000000
χ3222222-12-2-222-122-1-122-12-1-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-211110000-2200-22-2-22200000022-2-2000000001-111-1-11-100-22000011-1-100-1-111000000
χ332222-12222222-1-122-12-1-12-1-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-10000002222000022220000002222000000000022-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-100
χ342222-12222222-1-122-12-1-12-1-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100000022-2-200002222000000-2-2-2-20000000000-2-2-1-111-1-1-1-11111000000111100
χ352222-12222222-1-122-12-1-12-1-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2220000-2-2-2-2000000-2-2-2-200000000002211-1-11111-1-1-1-1000000111100
χ362222-12222222-1-122-12-1-12-1-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2-2-20000-2-2-2-200000022220000000000-2-2111111111111000000-1-1-1-100
χ372222-122-2-2222-1-122-12-1-12-1-1-1-1222-1-1-2-211-2-2-1-1-1-1-2-2111111110000002-22-2000022-2-200000022-2-200000000002-2-11-11-1-111-1-111000000-1-11100
χ382222-122-2-2222-1-122-12-1-12-1-1-1-1222-1-1-2-211-2-2-1-1-1-1-2-2111111110000002-2-22000022-2-2000000-2-2220000000000-22-111-1-1-11111-1-100000011-1-100
χ392222-122-2-2222-1-122-12-1-12-1-1-1-1222-1-1-2-211-2-2-1-1-1-1-2-211111111000000-222-20000-2-222000000-2-22200000000002-21-1-1111-1-1-1-11100000011-1-100
χ402222-122-2-2222-1-122-12-1-12-1-1-1-1222-1-1-2-211-2-2-1-1-1-1-2-211111111000000-22-220000-2-22200000022-2-20000000000-221-11-111-1-111-1-1000000-1-11100
χ4122-2-2222002-2-22-22-2-2-22222-22-22-2-2-2-200000022-2-200000000002i2i−2i−2i0000000000000000002i−2i002-22i2i−2i−2i0000000000000000000000002i−2i002-200
χ4222-2-2222002-2-22-22-2-2-22222-22-22-2-2-2-200000022-2-200000000002i2i−2i−2i000000000000000000−2i2i00-222i2i−2i−2i000000000000000000000000−2i2i00-2200
χ4322-2-2222002-2-22-22-2-2-22222-22-22-2-2-2-200000022-2-20000000000−2i−2i2i2i0000000000000000002i−2i00-22−2i−2i2i2i0000000000000000000000002i−2i00-2200
χ4422-2-2222002-2-22-22-2-2-22222-22-22-2-2-2-200000022-2-20000000000−2i−2i2i2i000000000000000000−2i2i002-2−2i−2i2i2i000000000000000000000000−2i2i002-200
χ452-22-222200-22-2-22-22-2-2222-22-22-22-2-2-20000002-22-200000000002i−2i2i−2i00000000000000002i−2i002-2002i−2i2i−2i00000000000000000000002i−2i002-20000
χ462-22-222200-22-2-22-22-2-2222-22-22-22-2-2-20000002-22-200000000002i−2i2i−2i0000000000000000−2i2i00-22002i−2i2i−2i0000000000000000000000−2i2i00-220000
χ472-22-222200-22-2-22-22-2-2222-22-22-22-2-2-20000002-22-20000000000−2i2i−2i2i00000000000000002i−2i00-2200−2i2i−2i2i00000000000000000000002i−2i00-220000
χ482-22-222200-22-2-22-22-2-2222-22-22-22-2-2-20000002-22-20000000000−2i2i−2i2i0000000000000000−2i2i002-200−2i2i−2i2i0000000000000000000000−2i2i002-20000
χ492-2-222222-2-2-22-2-2-2-222222-2-2-2-2-2-22222-22-22-22-2-222-22-22-222-2-22-2-22000000000000002-2000000002-2-22000000000000000000002-20000000000
χ502-2-222222-2-2-22-2-2-2-222222-2-2-2-2-2-22222-22-22-22-2-222-22-22-222-2-2-222-200000000000000-2200000000-222-200000000000000000000-220000000000
χ512-2-22222-22-2-22-2-2-2-222222-2-2-2-2-2-2222-22-22-222-2-22-22-22-22-2-2222-2-2200000000000000-22000000002-2-2200000000000000000000-220000000000
χ522-2-22222-22-2-22-2-2-2-222222-2-2-2-2-2-2222-22-22-222-2-22-22-22-22-2-222-222-2000000000000002-200000000-222-2000000000000000000002-20000000000
χ532-2-2222-12-2112-2-2-2-22-12-1-1-2-21111-12-12-22-2-11-111-1-112-2-11-1-1112-2-22000000−i3i3−i3i3−i3i3−i3i32-200000000-111-100−i3i3−i3i3000000−i3i3−i3i30000-110000000000
χ542-2-2222-12-2112-2-2-2-22-12-1-1-2-21111-12-12-22-2-11-111-1-112-2-11-1-1112-2-22000000i3−i3i3−i3i3−i3i3−i32-200000000-111-100i3−i3i3−i3000000i3−i3i3−i30000-110000000000
χ552-2-2222-12-2112-2-2-2-22-12-1-1-2-21111-12-12-22-2-11-111-1-112-2-11-1-111-222-2000000−i3i3−i3i3i3−i3i3−i3-22000000001-1-1100−i3i3−i3i3000000i3−i3i3−i300001-10000000000
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χ592-2-2222-1-22112-2-2-2-22-12-1-1-2-21111-12-1-22-221-1-111-11-1-221-111-1-1-222-2000000−i3i3i3−i3i3−i3−i3i32-2000000001-1-1100−i3i3i3−i3000000i3−i3−i3i30000-110000000000
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χ894-4-444-2-2-4422-2-4-4224-2-2-212222-1-11-2-22-2-442-21-1-11-112-22-2-1-1110000000000−2i32i32i3−2i300000000000000000000i3−i3−i3i300000000000000000000000000
χ904-4-444-2-2-4422-2-4-4224-2-2-212222-1-11-2-22-2-442-21-1-11-112-22-2-1-11100000000002i3−2i3−2i32i300000000000000000000−i3i3i3−i300000000000000000000000000
χ914-4-44-2444-4-4-4422-4-4-24-2-242222-4-44-2-24-4-224-4-222-24-4-22-22-2-2220000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-244-44-4-4422-4-4-24-2-242222-4-44-2-2-442-2-44-222-2-442-22-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ934-4-44-24-24-422422-4-4-2-2-21-222-1-122-2-214-4-22-221-1-11-22-221-111-1-100000000000000−2i32i3−2i32i300000000000000000000000000i3−i3i3−i30000000000000000
χ944-4-44-24-24-422422-4-4-2-2-21-222-1-122-2-214-4-22-221-1-11-22-221-111-1-1000000000000002i3−2i32i3−2i300000000000000000000000000−i3i3−i3i30000000000000000
χ954-4-44-24-2-4422422-4-4-2-2-21-222-1-122-2-21-442-22-21-1-112-22-2-11-1-11100000000000000−2i32i32i3−2i300000000000000000000000000i3−i3−i3i30000000000000000
χ964-4-44-24-2-4422422-4-4-2-2-21-222-1-122-2-21-442-22-21-1-112-22-2-11-1-111000000000000002i3−2i3−2i32i300000000000000000000000000−i3i3i3−i30000000000000000
χ974-4-44-2-244-4-4-4-22222-241-2-2-1-12222-21-2-22-224-41-1-11-221-1-2211-1-10000000000000000000000000000000000000000000000003-33-3000000000000
χ984-4-44-2-244-4-4-4-22222-241-2-2-1-12222-21-2-22-224-41-1-11-221-1-2211-1-1000000000000000000000000000000000000000000000000-33-33000000000000
χ994-4-44-2-24-44-4-4-22222-241-2-2-1-12222-21-22-22-2-441-1-112-2-112-2-1-1110000000000000000000000000000000000000000000000003-3-33000000000000
χ1004-4-44-2-24-44-4-4-22222-241-2-2-1-12222-21-22-22-2-441-1-112-2-112-2-1-111000000000000000000000000000000000000000000000000-333-3000000000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-400-4448-8-44-84-4-42-44-442-2-24400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-400-44-8-448-844-42-4-442-2-4444-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48008-84-44-444-82-4-42-2-44-444-2400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-444-44-44442222-22-22-2-2-2-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-444-44-44442222-22-22-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4004-44-884-4-84-4-424-44-4-22-2440000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4004-4-84-4-8844-42-44-4-224-444-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-8844-44-44-82-4-4-224-44-44-240000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-444-44-444222-22-22-22-2-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004-444-44-444222-22-22-22-2-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48-844-44444-4-4222-2-2-2-2-2-2222-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-8844-44444-4-4222-2-2-2-2-2-22224-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000

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