Finite Group Databasebeta

← Group #13168085

Character table — Group #13168085

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666663334666666666121222366612121212121212121212121222444666666121222444444666666666121212121212121212121244661212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-11111111111-1-11-111-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-1-11111111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-11-1-11-111-1-1-1-1-1-1-1-11111-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111-111-1-1-1-11111-1-111-1-111111-1-11111-111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-11111111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1111-1-1-1-1-1-1111-11
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111111111-1-111111-1-11111-1-1-11-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-11111-1-1-1-11-1-11111-1-1-1-11-11-1-1-1-1111-111-1-111-1-111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-11111-1-1-11111-1-111-11-1-1-1-1-111-1-1-11-1-1-1-11111111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-11-11-1-1-1-11111-1-111-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-111-11-11111-1-111-1-111-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-111-1-1-1-11111-1-11-1-1-1-111-1-11-111111-1-111-11-1-1-1-11111-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-11-11111-1-11-111-1-111-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1111-111111-1-111-1-11111-1-11111-1-1-1
χ17222222-12-1-1222-1222-1-1222-1-1-1-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-12220022-1-1-1-1002200000022-1-1-1-1-1-1-1-10020-1-1000002-1-100000000-100
χ18222222-12-1-1222-1222-1-1222-1-1-1-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-2-220022-1-11100-2-2000000-2-21-1-11111-10020-1-100000-21100000000100
χ19222222-12-1-1222-1222-1-1222-1-1-1-1-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-122-200-2-211-1-100-2-200000022-111-1-1-1-1100-201100000-21100000000100
χ20222222-12-1-1222-1222-1-1222-1-1-1-1-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-200-2-211110022000000-2-21111111100-2011000002-1-100000000-100
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χ2822222-12222-1-1-1222-12-12-1-12-1-12-12-1-1-100-1-1-1-12222-1-1-1-1-1-1-1-1-2-20-2-20000-2-2-2-20022002211-20011110110-20011110000-1-1-1-10000000
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χ1018-88-8-4-4-44-44-44444-42220-2-2-2-2-222-224i3−4i300-111-10000−2i32i3−2i32i3i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-484444-4-4-8-8-4-4204-4-4-224-24400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-4-8-844-48442-4-40-22-44-4444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-44444-4-4442220-222-22-2-2-2-20000-11-11006i−6i0000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-44444-4-4442220-222-22-2-2-2-20000-11-1100−6i6i00003i−3i3i−3i00000000000000000000000000000000000000000000000000000000

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