Finite Group Databasebeta

← Group #13168536

Character table — Group #13168536

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612124436661212121212121212121212122244466121212121212224444446666666121212121212121212121212122466121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-111-1-1-1-111111111-1-11-11111-1-1-1-11-1-1-1-1-111-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-111-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-111-1-1-1-11111-1-1-1-1111111111-111-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-11111111111111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111111-1-1-1-1-111-1-1111-11
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111111111-1-11-1-111-1-1-11-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111111-1-1-1-111-1-1111-1-111-1-1-1-11-1111-1-1-1-111-11-1-11111-1-111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-111-1-111-11-1-1-111-1-111-1-11-1-1-111-1-111111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-1-111-1-111-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-11111-1-1-1-1-1-11-1-111-1-111-11-1-1-11111-1-11111-1-1-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1111-1-111-1-1111-1-1-111-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-111-1-111-111-1-11111-11-1-1-11111-1-1-11-1-11111-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-111-1-1111-1111-1-111-1-111-1-111-1-1111111-1-1-1
χ17222222-12-122-1-12222-1-122-1-1-1-1-122-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1222202200002222000022-12-1-1-1-1-10-1-1020000-1-1-1-100-1-1-1-1000000000
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χ19222222-12-122-1-12222-1-122-1-1-1-1-122-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1-2-2220-2-2000022-2-20000-2-21-2111110-1-1020000-1-1-1-1001111000000000
χ20222222-12-122-1-12222-1-122-1-1-1-1-122-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20-2-20000-2-2220000221-2111110110-20000111100-1-1-1-1000000000
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χ2822222-12-122-122-122-12-12-12-1-12-1-1-1222-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-200-211-2-2110000220000-21-21111100-2011110000200000-1-10000-100
χ2922222-12-122-122-122-12-1-2-12-1-12-1-1-12-2-222-1-1-1-11-2-2-2111111112-200-2-1-122-1-1000022000021-2-1-111100-20-1-1110000-200000-1-10000100
χ3022222-12-122-122-122-12-1-2-12-1-12-1-1-12-2-222-1-1-1-11-2-2-211111111-2200-21122-1-10000-2-20000-2-1211-1-1100-20-1-1110000200000110000-100
χ3122222-12-122-122-122-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-11-2-2-2111111112-2002-1-1-2-2110000-2-2000021-2-1-111-1002011-1-10000200000110000-100
χ3222222-12-122-122-122-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-11-2-2-211111111-2200211-2-2110000220000-2-1211-1-1-1002011-1-10000-200000-1-10000100
χ332222-12222-12222-1-1-1-122-1-122-12-1-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-10022200-1-122-1-1000022000000000222-1-1-1-1-1-1-1-1-1-102000000-1-1000-10
χ342222-12222-12222-1-1-1-122-1-122-12-1-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-100-2-2200-1-122110000-2-20000000002-2-2-11-1-1-1-111110-20000001100010
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χ362222-12222-12222-1-1-1-122-1-122-12-1-1-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100-2-2-20011-2-211000022000000000-2-2-2111111111102000000-1-1000-10
χ372222-12222-12222-1-1-1-12-2-1-122-12-1-1-1-2-222-1-1-1-1-2111-2-2111111002-2-200-1-122-1-1000022000000000-22-211-1-111-1-1110-2000000-1-100010
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χ402222-12222-12222-1-1-1-12-2-1-122-12-1-1-1-2-2-2-2-1-1-1-1-2111-2-211111100-2220011-2-2110000220000000002-22-1-111-1-111-1-10-2000000-1-100010
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χ1028-88-8-4-4-44-4-4444-4442220-22-22-2-22-2-20000-11-11000000−6i6i3i3i−3i−3i00000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484-84-4-884-442-4-40-2444-4-4-22400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-44-44-442220-2-2-2-222-22-2−4i34i300-111-1002i3−2i32i3−2i300−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-44-44-442220-2-2-2-222-22-24i3−4i300-111-100−2i32i3−2i32i300i3−i3i3−i300000000000000000000000000000000000000000000000000000000

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