Finite Group Databasebeta

← Group #13168268

Character table — Group #13168268

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order122233344666666666333666666666121212121212222236661212121212121212121244446666666612121212121212124444441212121212121212666612121212121212121212121222466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-11111111111111111-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-1111-1-1-1-11111-11111-1-1-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-11111-1-1-11111-1-111-1-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-1111-11-1-11111111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-111-1-111-1-11-11-1-1111111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-11111-1-111-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-111-11111-1-1-1-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-11111111111111111-1-111-11-11-1-111-1-111-1-1-1-1-1-1-1-1-111-11
χ17222222-1222-1-122222-12-1-12-1-1-1-12-12-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-100222222-1-1-1-10000-1-1-1-10022000000-1-1-1-1-1-1-1-100220000-1-1-1-120000-1-1000000
χ18222222-1222-1-122222-12-1-12-1-1-1-12-12-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-100-2-22222-1-1-1-10000111100-2-20000001111-1-1-1-100-2-200001111-2000011000000
χ19222222-1222-1-122222-12-1-12-1-1-1-12-12-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-10022-2-2-2-211110000-1-1-1-100-2-20000001111111100220000-1-1-1-1-2000011000000
χ20222222-1222-1-122222-12-1-12-1-1-1-12-12-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-2-2-21111000011110022000000-1-1-1-1111100-2-20000111120000-1-1000000
χ21222222-1-2-22-1-122222-12-1-12-1-1-1-12-12-1-2-2-2-21122-2-2-1-1-1-1-2-211111111002-222-2-2-1-1110000-1-1110022000000-1-1-1-1-1-111002-20000-1-111-2000011000000
χ22222222-1-2-22-1-122222-12-1-12-1-1-1-12-12-1-2-2-2-21122-2-2-1-1-1-1-2-21111111100-2222-2-2-1-111000011-1-100-2-20000001111-1-11100-22000011-1-120000-1-1000000
χ23222222-1-2-22-1-122222-12-1-12-1-1-1-12-12-1-2-2-2-211-2-222-1-1-1-1-2-211111111002-2-2-22211-1-10000-1-11100-2-2000000111111-1-1002-20000-1-11120000-1-1000000
χ24222222-1-2-22-1-122222-12-1-12-1-1-1-12-12-1-2-2-2-211-2-222-1-1-1-1-2-21111111100-22-2-22211-1-1000011-1-10022000000-1-1-1-111-1-100-22000011-1-1-2000011000000
χ2522222-1222-1222-122-12-1-12-1-1-122-12-1-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-122220000000022222222000022000000000000-1-1-1-1-1-1-1-1-1-1-1-1020-1-10000-1-100
χ2622222-1222-1222-122-12-1-12-1-1-122-12-1-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-122-2-2000000002222-2-2-2-20000-2-2000000000000-1-111-1-1-1-111110-201100001100
χ2722222-1222-1222-122-12-1-12-1-1-122-12-1-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-1-2-22200000000-2-2-2-222220000-2-200000000000011-1-11111-1-1-1-10-201100001100
χ2822222-1222-1222-122-12-1-12-1-1-122-12-1-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000-2-2-2-2-2-2-2-2000022000000000000111111111111020-1-10000-1-100
χ2922222-12-2-2-1222-122-12-1-12-1-1-122-12-1-1-2-211-2-20000-1-1-1-111-2-21111112-22-20000000022-2-222-2-2000022000000000000-11-11-1-111-1-1110-20110000-1-100
χ3022222-12-2-2-1222-122-12-1-12-1-1-122-12-1-1-2-211-2-20000-1-1-1-111-2-21111112-2-220000000022-2-2-2-2220000-2-2000000000000-111-1-1-11111-1-1020-1-100001100
χ3122222-12-2-2-1222-122-12-1-12-1-1-122-12-1-1-2-211-2-20000-1-1-1-111-2-2111111-222-200000000-2-22222-2-20000-2-20000000000001-1-1111-1-1-1-111020-1-100001100
χ3222222-12-2-2-1222-122-12-1-12-1-1-122-12-1-1-2-211-2-20000-1-1-1-111-2-2111111-22-2200000000-2-222-2-2220000220000000000001-11-111-1-111-1-10-20110000-1-100
χ332222-12222222-12-1-122-12-1-122-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-12222-1-1-1-10000220000-1-1-1-10000-1-1-1-12200-1-1-1-100000020000-1-10000
χ342222-12222222-12-1-122-12-1-122-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-2-200-1-1-1-1222211110000-2-2000011110000-1-1-1-1-2-2001111000000-20000110000
χ352222-12222222-12-1-122-12-1-122-1-1-1-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-122001111-2-2-2-2-1-1-1-10000-2-200001111000011112200-1-1-1-1000000-20000110000
χ362222-12222222-12-1-122-12-1-122-1-1-1-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-2001111-2-2-2-211110000220000-1-1-1-100001111-2-200111100000020000-1-10000
χ372222-122-2-2222-12-1-122-12-1-122-1-1-1-1-1211-2-2-2-222-2-2-1-1-1-11111-2-211112-200-1-11122-2-2-1-1110000220000-1-1-1-10000-1-1112-200-1-111000000-20000110000
χ382222-122-2-2222-12-1-122-12-1-122-1-1-1-1-1211-2-2-2-222-2-2-1-1-1-11111-2-21111-2200-1-11122-2-211-1-10000-2-2000011110000-1-111-220011-1-100000020000-1-10000
χ392222-122-2-2222-12-1-122-12-1-122-1-1-1-1-1211-2-2-2-2-2-222-1-1-1-11111-2-211112-20011-1-1-2-222-1-1110000-2-200001111000011-1-12-200-1-11100000020000-1-10000
χ402222-122-2-2222-12-1-122-12-1-122-1-1-1-1-1211-2-2-2-2-2-222-1-1-1-11111-2-21111-220011-1-1-2-22211-1-10000220000-1-1-1-1000011-1-1-220011-1-1000000-20000110000
χ412-22-222200-22-2-22-22-2-2222-22-22-2-2-22-2000000000022-2-20000000000000000000000000000002-22i−2i2i−2i22-2-22i2i−2i−2i00000000000000000000000002i−2i00
χ422-22-222200-22-2-22-22-2-2222-22-22-2-2-22-2000000000022-2-20000000000000000000000000000002-2−2i2i−2i2i22-2-2−2i−2i2i2i0000000000000000000000000−2i2i00
χ432-22-222200-22-2-22-22-2-2222-22-22-2-2-22-2000000000022-2-2000000000000000000000000000000-222i−2i−2i2i-2-2222i2i−2i−2i0000000000000000000000000−2i2i00
χ442-22-222200-22-2-22-22-2-2222-22-22-2-2-22-2000000000022-2-2000000000000000000000000000000-22−2i2i2i−2i-2-222−2i−2i2i2i00000000000000000000000002i−2i00
χ452-2-222222-2-2-2-22-2-2-222222-2-2-2-2-222-222-22-22-22-22-22-2-222-22-22-222-2-200002-22-22-22-200000000000000000000002-22-20000000000000000000000000
χ462-2-222222-2-2-2-22-2-2-222222-2-2-2-2-222-222-22-22-2-22-222-2-222-22-22-222-2-20000-22-22-22-220000000000000000000000-22-220000000000000000000000000
χ472-2-22222-22-2-2-22-2-2-222222-2-2-2-2-222-22-22-22-222-2-222-2-22-22-22-22-2-22200002-2-222-2-2200000000000000000000002-2-220000000000000000000000000
χ482-2-22222-22-2-2-22-2-2-222222-2-2-2-2-222-22-22-22-22-222-22-2-22-22-22-22-2-2220000-222-2-222-20000000000000000000000-222-20000000000000000000000000
χ492-2-2222-12-2-2112-2-2-22-12-1-1-211112-1-2-12-22-2-112-22-2-111-12-2-11-11-1-11100002-22-2-11-110000−i3i3−i3i30000000000−i3i3−i3i3-11-1100000000−i3i3−i3i300000−i3i3000000
χ502-2-2222-12-2-2112-2-2-22-12-1-1-211112-1-2-12-22-2-112-22-2-111-12-2-11-11-1-11100002-22-2-11-110000i3−i3i3−i30000000000i3−i3i3−i3-11-1100000000i3−i3i3−i300000i3−i3000000
χ512-2-2222-12-2-2112-2-2-22-12-1-1-211112-1-2-12-22-2-11-22-22-111-12-2-11-11-1-1110000-22-221-11-10000−i3i3−i3i30000000000i3−i3i3−i31-11-100000000−i3i3−i3i300000i3−i3000000
χ522-2-2222-12-2-2112-2-2-22-12-1-1-211112-1-2-12-22-2-11-22-22-111-12-2-11-11-1-1110000-22-221-11-10000i3−i3i3−i30000000000−i3i3−i3i31-11-100000000i3−i3i3−i300000−i3i3000000
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χ954-4-444-2-2-4422242-4-4-2-2-21-22-1-122-2-221-442-22-200001-1-112-22-2-11-1-11100000000000000002i3−2i3−2i32i300000000000000000000000000−i3i3i3−i30000000000000
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χ994-4-44-24-2-44-422-2-4224-2-2-21222-1-1-212-22-2-442-2-444-41-1-112-2-112-2-1-11100002-2-222-2-220000000000000000000000-111-10000000000000000000000000
χ1004-4-44-2-244-42-4-4-2222-241-2-2-122221-2-1-2-22-224-400001-1-111-1-22-2211-1-100000000000023−2323−2300000000000000000000000000−33−3300000000000000000
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χ1024-4-44-2-24-442-4-4-2222-241-2-2-122221-2-1-22-22-2-4400001-1-11-112-22-2-1-11100000000000023−23−232300000000000000000000000000−333−300000000000000000
χ1034-4-44-2-24-442-4-4-2222-241-2-2-122221-2-1-22-22-2-4400001-1-11-112-22-2-1-111000000000000−232323−23000000000000000000000000003−3−3300000000000000000
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χ11088-8-8-4-4-400-44-444-44442222-22-22-2-2-2-20000000000-11-11000000−3333−3333000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-4004-44-8-4-8844-42-442-2-4444-4-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-400-8-44484-4-84-4-424-442-24-2-44000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
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χ1148-88-8-4-4-4004-444-44-444222-22-22-2-2-22-20000000000-1-11100000033−33−3333000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-4004-444-44-444222-22-22-2-2-22-20000000000-1-111000000−333333−33000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48-8444-4444-4-4222-2-2-2-2-222-22-44-44-440000-111-12-22-22-2-1-111000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-88444-4444-4-4222-2-2-2-2-222-224-44-44-40000-111-1-22-22-2211-1-1000000000000000000000000000000000000000000000000000000000000000

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