Finite Group Databasebeta

← Group #13168119

Character table — Group #13168119

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order122233344666666666333666666666121212121212222236661212121212121212121222446666666666661212121222444466661212121266666666661212121212122446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111111-11-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111-1-111
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1111111111111111-111-1-111-1-11-111-1-1-1-1-1-1-1-1-1-1-1111-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-11-1-11111-11111-1-1-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-1111-111-1-11-1111-1-111-1-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-111-111-1-11111111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-11-111-1-1-111-1-1111111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-11-1-1111-1111-1-111-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1111-111-1-111-11111-1-1-1-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-11111111111111111-11-1-111-1-111-11-1-111-1-1-1-1-1-1-1-1-111-11
χ17222222-1222-1-12222-122-1-12-1-1-1-12-1-122222-1-12222-1-1-1-122-1-1-1-1-1-1-1-122002222-1-1-1-1-1-1-1-10000220000-1-1-1-1000022-1-1-1-1-1-1-1-10000000020000-1-10000
χ18222222-1222-1-12222-122-1-12-1-1-1-12-1-122222-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-2-2002222-1-1-1-111110000-2-2000011110000-2-2-1-1-1-1111100000000-20000110000
χ19222222-1222-1-12222-122-1-12-1-1-1-12-1-122222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-12200-2-2-2-21111-1-1-1-10000-2-2000011110000221111-1-1-1-100000000-20000110000
χ20222222-1222-1-12222-122-1-12-1-1-1-12-1-122222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-2-2-2111111110000220000-1-1-1-10000-2-2111111110000000020000-1-10000
χ21222222-1-2-22-1-12222-122-1-12-1-1-1-12-1-12-2-2-2-21122-2-2-1-1-1-1-2-2111111112-20022-2-2-1-111-1-1110000220000-1-1-1-100002-2-1-111-1-11100000000-20000110000
χ22222222-1-2-22-1-12222-122-1-12-1-1-1-12-1-12-2-2-2-21122-2-2-1-1-1-1-2-211111111-220022-2-2-1-11111-1-10000-2-2000011110000-22-1-11111-1-10000000020000-1-10000
χ23222222-1-2-22-1-12222-122-1-12-1-1-1-12-1-12-2-2-2-211-2-222-1-1-1-1-2-2111111112-200-2-22211-1-1-1-1110000-2-20000111100002-211-1-1-1-1110000000020000-1-10000
χ24222222-1-2-22-1-12222-122-1-12-1-1-1-12-1-12-2-2-2-211-2-222-1-1-1-1-2-211111111-2200-2-22211-1-111-1-10000220000-1-1-1-10000-2211-1-111-1-100000000-20000110000
χ2522222-1222-1222-12-122-12-1-122-1-1-12-1-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-12222000000002222222200002200000000-1-10000-1-1-1-1-1-1-1-1-1-1200-1-10000-1-100
χ2622222-1222-1222-12-122-12-1-122-1-1-12-1-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-122-2-2000000002222-2-2-2-20000-2-200000000-1-10000-1-1-1-1111111-2001100001100
χ2722222-1222-1222-12-122-12-1-122-1-1-12-1-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-1-2-22200000000-2-2-2-222220000-2-2000000001100001111-1-1-1-1-1-1-2001100001100
χ2822222-1222-1222-12-122-12-1-122-1-1-12-1-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000-2-2-2-2-2-2-2-2000022000000001100001111111111200-1-10000-1-100
χ2922222-12-2-2-1222-12-122-12-1-122-1-1-12-1-1-2-211-2-20000-1-1-1-111-2-21111112-22-20000000022-2-222-2-200002200000000-110000-1-111-11-1-111-200110000-1-100
χ3022222-12-2-2-1222-12-122-12-1-122-1-1-12-1-1-2-211-2-20000-1-1-1-111-2-21111112-2-220000000022-2-2-2-2220000-2-200000000-110000-1-1111-111-1-1200-1-100001100
χ3122222-12-2-2-1222-12-122-12-1-122-1-1-12-1-1-2-211-2-20000-1-1-1-111-2-2111111-222-200000000-2-22222-2-20000-2-2000000001-1000011-1-1-11-1-111200-1-100001100
χ3222222-12-2-2-1222-12-122-12-1-122-1-1-12-1-1-2-211-2-20000-1-1-1-111-2-2111111-22-2200000000-2-222-2-222000022000000001-1000011-1-11-111-1-1-200110000-1-100
χ332222-12222222-12-122-1-1-12-1-1-122-1-12-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-10022-1-1-1-122220000-1-1-1-10022000000-1-1-1-100-1-1-1-1000022-1-1-1-102000-1-1000000
χ342222-12222222-12-122-1-1-12-1-1-122-1-12-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-100-2-2-1-1-1-122220000111100-2-2000000111100-1-1-1-10000-2-211110-200011000000
χ352222-12222222-12-122-1-1-12-1-1-122-1-12-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-100221111-2-2-2-20000-1-1-1-100-2-20000001111001111000022-1-1-1-10-200011000000
χ362222-12222222-12-122-1-1-12-1-1-122-1-12-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-100-2-21111-2-2-2-2000011110022000000-1-1-1-10011110000-2-2111102000-1-1000000
χ372222-122-2-2222-12-122-1-1-12-1-1-122-1-12-111-2-2-2-222-2-2-1-1-1-11111-2-21111002-2-1-11122-2-20000-1-1110022000000-1-1-1-100-1-11100002-2-1-1110-200011000000
χ382222-122-2-2222-12-122-1-1-12-1-1-122-1-12-111-2-2-2-222-2-2-1-1-1-11111-2-2111100-22-1-11122-2-2000011-1-100-2-2000000111100-1-1110000-2211-1-102000-1-1000000
χ392222-122-2-2222-12-122-1-1-12-1-1-122-1-12-111-2-2-2-2-2-222-1-1-1-11111-2-21111002-211-1-1-2-2220000-1-11100-2-200000011110011-1-100002-2-1-11102000-1-1000000
χ402222-122-2-2222-12-122-1-1-12-1-1-122-1-12-111-2-2-2-2-2-222-1-1-1-11111-2-2111100-2211-1-1-2-222000011-1-10022000000-1-1-1-10011-1-10000-2211-1-10-200011000000
χ4122-2-22220022-2-2-22-2-2-222222-22-2-2-2-2-2000000000022-2-20000000000000000000000000000002-22i−2i2i−2i22-2-22i2i−2i−2i00000000000000000000000002i−2i00
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χ4322-2-22220022-2-2-22-2-2-222222-22-2-2-2-2-2000000000022-2-2000000000000000000000000000000-222i−2i−2i2i-2-2222i2i−2i−2i0000000000000000000000000−2i2i00
χ4422-2-22220022-2-2-22-2-2-222222-22-2-2-2-2-2000000000022-2-2000000000000000000000000000000-22−2i2i2i−2i-2-222−2i−2i2i2i00000000000000000000000002i−2i00
χ452-2-222222-2-2-2-22-2-222-2222-2-2-2-2-2222-22-22-22-22-22-22-2-222-22-22-222-2-200002-22-22-22-20000000000000000000000002-22-200000000000000000000000
χ462-2-222222-2-2-2-22-2-222-2222-2-2-2-2-2222-22-22-22-2-22-222-2-222-22-22-222-2-20000-22-22-22-22000000000000000000000000-22-2200000000000000000000000
χ472-2-22222-22-2-2-22-2-222-2222-2-2-2-2-2222-2-22-22-222-2-222-2-22-22-22-22-2-22200002-2-222-2-220000000000000000000000002-2-2200000000000000000000000
χ482-2-22222-22-2-2-22-2-222-2222-2-2-2-2-2222-2-22-22-22-222-22-2-22-22-22-22-2-2220000-222-2-222-2000000000000000000000000-222-200000000000000000000000
χ492-2-2222-12-2-2112-2-22-1-22-1-1-211112-1-1-22-22-2-112-22-2-111-12-2-11-11-1-11100002-22-2-11-11−i3i3−i3i30000000000−i3i3−i3i3000000-11-11−i3i3−i3i30000000000000−i3i30000
χ502-2-2222-12-2-2112-2-22-1-22-1-1-211112-1-1-22-22-2-112-22-2-111-12-2-11-11-1-11100002-22-2-11-11i3−i3i3−i30000000000i3−i3i3−i3000000-11-11i3−i3i3−i30000000000000i3−i30000
χ512-2-2222-12-2-2112-2-22-1-22-1-1-211112-1-1-22-22-2-11-22-22-111-12-2-11-11-1-1110000-22-221-11-1−i3i3−i3i30000000000i3−i3i3−i30000001-11-1−i3i3−i3i30000000000000i3−i30000
χ522-2-2222-12-2-2112-2-22-1-22-1-1-211112-1-1-22-22-2-11-22-22-111-12-2-11-11-1-1110000-22-221-11-1i3−i3i3−i30000000000−i3i3−i3i30000001-11-1i3−i3i3−i30000000000000−i3i30000
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χ572-2-22-1222-2-2-2-2-1-21221-1-12111-2-2-1-121-112-22-22-22-2-111-1-11-112-2-1-1110000-11-112-22-200003−33−300000000003−33−300-11-110000003−33−3000003−3000000
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χ602-2-22-1222-2-2-2-2-1-21221-1-12111-2-2-1-121-112-22-2-22-22-111-1-11-112-2-1-11100001-11-1-22-220000−33−3300000000003−33−3001-11-1000000−33−33000003−3000000
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χ1024-4-44-2-24-442-4-4-222-2421-2-2-122221-2-2-12-22-2-4400001-1-11-112-22-2-1-111000000000000000023−23−232300000000000000000000000000−333−30000000000000
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χ1058888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444440000-1-1-1-1-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000000
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χ1128-88-8-48-400-84-4484-84-4-42-44-224-44-24-400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
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χ1158-88-8-4-4-40044-44-4444-4222-2-22-22-2-2-220000000000-11-11000000−333333−33000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48-8444-444-4-44222-2-2-2-2-2222-2-44-44-440000-111-12-22-22-2-1-111000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-88444-444-4-44222-2-2-2-2-2222-24-44-44-40000-111-1-22-22-2211-1-1000000000000000000000000000000000000000000000000000000000000000

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