Finite Group Databasebeta

← Group #11783871

Character table — Group #11783871

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11244444888888991818181818363636112444448888889918181818183636361124444488888899181818181836363611244444888888991818181818363636
order124233666666121244244444884444121212121212121212124444444488224266666666121244244444884444121212121212121212124444444488
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χ5111-11111-1-1-1-1111111111-1-1-1111-11111-1-1-1-1111111111-1-1-1111-11111-1-1-1-1111111111-1-1-1111-11111-1-1-1-1111111111-1-1-1
χ6111-11111-1-1-1-111111-1-1-1-1-111111-11111-1-1-1-111111-1-1-1-1-111111-11111-1-1-1-111111-1-1-1-1-111111-11111-1-1-1-111111-1-1-1-1-111
χ7111-11111-1-1-1-111-1-1-1ii−i−i1−ii111-11111-1-1-1-111-1-1-1ii−i−i1−ii111-11111-1-1-1-111-1-1-1ii−i−i1−ii111-11111-1-1-1-111-1-1-1ii−i−i1−ii
χ8111-11111-1-1-1-111-1-1-1−i−iii1i−i111-11111-1-1-1-111-1-1-1−i−iii1i−i111-11111-1-1-1-111-1-1-1−i−iii1i−i111-11111-1-1-1-111-1-1-1−i−iii1i−i
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χ842-20022-2-20000002i−2i0−1−i1+i−1+i1−i000−2i2i00−2i−2i2i2i0000002-20−1+i1−i1+i−1−i000-2200-2-222000000−2i2i01+i−1−i1−i−1+i0002i−2i002i2i−2i−2i000000-2201−i−1+i−1−i1+i000
χ852-20022-2-2000000−2i2i01−i−1+i1+i−1−i000−2i2i00−2i−2i2i2i000000-220−1−i1+i1−i−1+i000-2200-2-2220000002i−2i0−1+i1−i−1−i1+i0002i−2i002i2i−2i−2i0000002-201+i−1−i−1+i1−i000
χ862-20022-2-2000000−2i2i0−1+i1−i−1−i1+i000−2i2i00−2i−2i2i2i000000-2201+i−1−i−1+i1−i000-2200-2-2220000002i−2i01−i−1+i1+i−1−i0002i−2i002i2i−2i−2i0000002-20−1−i1+i1−i−1+i000
χ8744441-21-211-2-21-20000000000−4i−4i−4i−4i−i2i−i2i−i−i2i2i−i2i0000000000-4-4-4-4-12-12-1-122-1200000000004i4i4i4ii−2ii−2iii−2i−2ii−2i0000000000
χ884444-21-21-2-211-210000000000−4i−4i−4i−4i2i−i2i−i2i2i−i−i2i−i0000000000-4-4-4-42-12-122-1-12-100000000004i4i4i4i−2ii−2ii−2i−2iii−2ii0000000000
χ89444-41-21-2-1-1221-20000000000−4i−4i−4i4i−i2i−i2iii−2i−2i−i2i0000000000-4-4-44-12-1211-2-2-1200000000004i4i4i−4ii−2ii−2i−i−i2i2ii−2i0000000000
χ90444-4-21-2122-1-1-210000000000−4i−4i−4i4i2i−i2i−i−2i−2iii2i−i0000000000-4-4-442-12-1-2-2112-100000000004i4i4i−4i−2ii−2ii2i2i−i−i−2ii0000000000
χ9144-401-21-23-300-120000000000−4i−4i4i0−i2i−i2i−3i3i00i−2i0000000000-4-440-12-12-33001-200000000004i4i−4i0i−2ii−2i3i−3i00−i2i0000000000
χ9244-401-21-2-3300-120000000000−4i−4i4i0−i2i−i2i3i−3i00i−2i0000000000-4-440-12-123-3001-200000000004i4i−4i0i−2ii−2i−3i3i00−i2i0000000000
χ9344-40-21-21003-32-10000000000−4i−4i4i02i−i2i−i00−3i3i−2ii0000000000-4-4402-12-100-33-2100000000004i4i−4i0−2ii−2ii003i−3i2i−i0000000000
χ9444-40-21-2100-332-10000000000−4i−4i4i02i−i2i−i003i−3i−2ii0000000000-4-4402-12-1003-3-2100000000004i4i−4i0−2ii−2ii00−3i3i2i−i0000000000
χ958-8002-4-240000000000000000−8i8i00−2i4i2i−4i0000000000000000-8800-242-400000000000000008i−8i002i−4i−2i4i0000000000000000
χ968-800-424-20000000000000000−8i8i004i−2i−4i2i0000000000000000-88004-2-4200000000000000008i−8i00−4i2i4i−2i0000000000000000

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