Finite Group Databasebeta

← Group #11772389

Character table — Group #11772389

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order12224444224433666666121212121212121266661212121288888888161616161616161616161616161616168888888824242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ91-1-1111-1-11-1-1111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ101-1-1111-1-11-1-1111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ111-1-1111-1-11-1-1111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ121-1-1111-1-11-1-1111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ131-1-11-1-111-11-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1
χ141-1-11-1-111-11-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111
χ151-1-11-1-111-11-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111
χ161-1-11-1-111-11-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-1
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χ724-4-44-4-4444-44-4-212-12-1-212211-1-1-2-2-212-12-1-2100000000000000000000000000000000−333−33−3−3300000000
χ734-4-44-4-444-44-441-2-12-121-2-1-1-2-22211-121-21-2-1200000000000000000000000000002-2-2200000000-1-11111-1-1
χ744-4-44-4-444-44-441-2-12-121-2-1-1-2-22211-121-21-2-120000000000000000000000000000-222-20000000011-1-1-1-111
χ754-4-44-4-444-44-44-212-12-1-212211-1-1-2-22-1-21-212-10000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ764-4-44-4-444-44-44-212-12-1-212211-1-1-2-22-1-21-212-1000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ7788-8-88i−8i8i−8i00002-42-4-24-242i−2i−4i4i−4i4i2i−2i00000000000000000000000000000000000000000000000000000000
χ7888-8-88i−8i8i−8i0000-42-424-24-2−4i4i2i−2i2i−2i−4i4i00000000000000000000000000000000000000000000000000000000
χ7988-8-8−8i8i−8i8i00002-42-4-24-24−2i2i4i−4i4i−4i−2i2i00000000000000000000000000000000000000000000000000000000
χ8088-8-8−8i8i−8i8i0000-42-424-24-24i−4i−2i2i−2i2i4i−4i00000000000000000000000000000000000000000000000000000000
χ818-88-88i−8i−8i8i00002-4-242-4-242i−2i4i−4i−4i4i−2i2i00000000000000000000000000000000000000000000000000000000
χ828-88-88i−8i−8i8i0000-424-2-424-2−4i4i−2i2i2i−2i4i−4i00000000000000000000000000000000000000000000000000000000
χ838-88-8−8i8i8i−8i00002-4-242-4-24−2i2i−4i4i4i−4i2i−2i00000000000000000000000000000000000000000000000000000000
χ848-88-8−8i8i8i−8i0000-424-2-424-24i−4i2i−2i−2i2i−4i4i00000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.