Finite Group Databasebeta

← Group #13168269

Character table — Group #13168269

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666663334666666666121222366612121212121212121212121244444666612121212224444446612121212121212121212121212121212121244661212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-111-1-111-1-1-1-111111-1-1-111111111-1-1-1-1-11-1-1-1-1-1-111-1-11-1-1
χ311111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-111-1-111-1-111111-111-1-1-1-111111-1-1-111-1-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11-1-1-11-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11
χ51111111111111111111111111111111-1-11111111111111111-11111-1-1-1-1111111-1-1-1-111-1-111-1111-11-1-111111111-1-111-1-111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-11-1-1-111-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-111111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1111111-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1111-111-1-1-1-11111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-111-1-111-11-11-1-1-11-1-1-1-11111-1-1-111111-1-1-1-1111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-11111-11-1-111-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-11-11111-1-111-1-111-1-1-1-111-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-111-1-1-1-11-11-1111-11111-1-1-1-111-111111-1-1-1-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-11111-1-11111-1-11-111-1-1-1-111-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1111111-1-111-1-111-1-1-1-111111111-1-1-1
χ17222222-122-1-1222-12-1-122-1-1-12-122-1-1-1-100-1-1-1-12222-1-1-1-1-1-1-1-102222000022222200002200-1-10-12-10200-1-1-1-1-1-1-1-100-1-100-1-10000000
χ18222222-122-1-1222-12-1-122-1-1-12-122-1-1-1-100-1-1-1-12222-1-1-1-1-1-1-1-1022-2-20000-2-222-2-20000-2-200-1-101-210200-1-1-1-11111001100110000000
χ19222222-122-1-1222-12-1-122-1-1-12-122-1-1-1-100-1-1-1-12222-1-1-1-1-1-1-1-10-2-222000022-2-2-2-20000-2-200110-12-10-2001111-1-1-1-1001100110000000
χ20222222-122-1-1222-12-1-122-1-1-12-122-1-1-1-100-1-1-1-12222-1-1-1-1-1-1-1-10-2-2-2-20000-2-2-2-222000022001101-210-2001111111100-1-100-1-10000000
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χ24222222-122-1-1222-12-1-12-2-1-1-12-122-1-11100-1-1-1-1-2-2-2-2111111110-22-220000-2-2-2-2-2-2000022001-1012-1020011-1-111-1-1001100-1-10000000
χ2522222-122-1222-1-1222-1-122-1-1-12-1-12-12222-1-1-1-12-1-1-122-1-1-1-1-1-12002222-1-1-1-10000002200-1-100-12-1220-1-10000-1-1-1-12000-1-10000000-10
χ2622222-122-1222-1-1222-1-122-1-1-12-1-12-12222-1-1-1-12-1-1-122-1-1-1-1-1-1200-2-222-1-111000000-2-200-1-100-1-21-220-1-100001111-200011000000010
χ2722222-122-1222-1-1222-1-122-1-1-12-1-12-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-20022-2-211-1-1000000-2-200110012-12-20110000-1-1-1-1-200011000000010
χ2822222-122-1222-1-1222-1-122-1-1-12-1-12-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-200-2-2-2-21111000000220011001-21-2-2011000011112000-1-10000000-10
χ2922222-122-1222-1-1222-1-1-22-1-1-12-1-12-1-2-222-1-1-1-1-2111-2-2111111-2002-222-1-1-1-10000002200-1-100121-2-20110000-1-111-2000-1-1000000010
χ3022222-122-1222-1-1222-1-1-22-1-1-12-1-12-1-2-222-1-1-1-1-2111-2-2111111-200-2222-1-111000000-2-200-1-1001-2-12-2011000011-1-12000110000000-10
χ3122222-122-1222-1-1222-1-1-22-1-1-12-1-12-1-2-2-2-2-1-1-1-1-2111-2-21111112002-2-2-211-1-1000000-2-2001100-121-220-1-10000-1-1112000110000000-10
χ3222222-122-1222-1-1222-1-1-22-1-1-12-1-12-1-2-2-2-2-1-1-1-1-2111-2-2111111200-22-2-2111100000022001100-1-2-1220-1-1000011-1-1-2000-1-1000000010
χ332222-122-1222-1222-1-12-12-122-1-1-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-122200-1-12200-1-100220000-1-1222000-1-1-1-1-1-1-1-1000002000000-1-100-100
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χ352222-122-1222-1222-1-12-12-122-1-1-1-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2220011-2-200-1-100-2-200001122-20001-111-1-1-1-100000-20000001100100
χ362222-122-1222-1222-1-12-12-122-1-1-1-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-20011-2-200110022000011-2-2-200011111111000002000000-1-100-100
χ372222-122-1222-1222-1-12-1-2-122-1-1-1-1-12-2-222-1-1-1-11-21111-2-21111-22-200-1-12200-1-100220000-1-12-2-20001111-1-11100000-2000000-1-100100
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χ402222-122-1222-1222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-1-1-1-11-21111-2-211112-220011-2-200110022000011-222000-1-1-1-111-1-100000-2000000-1-100100
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χ4322-2-2222222-2-2-2-2-2-2222022-22-2-2-2-2-200-2222-2-200000000000000000-22-2200002-2000000-22000000000000000000002-2000000-22000
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χ1028-88-8-4-4-4444-44-444-42220-2-22-2-2-222-20000-11-1100000000−333333−3300000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4844-8-8-44-484-4-420444-2-42-24-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44444-44-4-442220-2-2-2-222-2-22−4i34i300-111-100002i3−2i32i3−2i3−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44444-44-4-442220-2-2-2-222-2-224i3−4i300-111-10000−2i32i3−2i32i3i3−i3i3−i300000000000000000000000000000000000000000000000000000000

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