Finite Group Databasebeta

← Group #11771100

Character table — Group #11771100

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order12224444224433666666666612121212121212121212121266121244444444121212121212121212121212121212122244888824242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-11111-1-1-1-111iiii−i−i−i−i
χ611111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-111-1-1-1-1111111−i−i−i−iiiii
χ711111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-11111-1-1-1-111−i−i−i−iiiii
χ811111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-111-1-1-1-1111111iiii−i−i−i−i
χ91111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111i−ii−iii−i−iii−i−i-11ii−i−iii−i−i
χ101111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111−ii−ii−i−iii−i−iii-11−i−iii−i−iii
χ111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111i−ii−iii−i−iii−i−i-11−i−iii−i−iii
χ121111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111−ii−ii−i−iii−i−iii-11ii−i−iii−i−i
χ131111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1i−i−iiii−i−i−i−iii-11-1-11111-1-1
χ141111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1−iii−i−i−iiiii−i−i-1111-1-1-1-111
χ151111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1i−i−iiii−i−i−i−iii-1111-1-1-1-111
χ161111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1−iii−i−i−iiiii−i−i-11-1-11111-1-1
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-2222222-2-222-2-22222-2-2-2-22222-2-2-2-20000000000000000000000002222000000000000-2-200000000
χ192222-2-2-2-222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-200000000000000000000000022-2-20000000000002-200000000
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χ374444444444441-21-21-2111-21111111111-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
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χ4144444444-4-4-4-41-21-21-2-1-11-2-1-11111-1-1-1-1-2-2-2-222222i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000
χ4244444444-4-4-4-41-21-21-2-1-11-2-1-11111-1-1-1-1-2-2-2-22222−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000
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χ844-4-44-444-400001-2-12-12-3-31-233-111-13-3-332-2-220000000000003−3−333−3−33−333−33−3−3300000000000000000000000000
χ854-4-44-444-400001-2-12-12-3-31-233-111-13-3-332-2-22000000000000−333−3−333−33−3−33−333−300000000000000000000000000
χ864-4-44-444-4000044-4-4-4-4004400-444-40000-444-4000000000000000000000000000000000000000000000000000000
χ8788-8-88i8i−8i−8i0000-42-424-2004-200−4i−4i4i4i00002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ8888-8-8−8i−8i8i8i0000-42-424-2004-2004i4i−4i−4i0000−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ898-8-888-8-880000-424-24-200-4200-444-400002-2-22000000000000000000000000000000000000000000000000000000
χ908-8-88-888-80000-424-24-200-42004-4-440000-222-2000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.