Finite Group Databasebeta

← Group #11783179

Character table — Group #11783179

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112244444444448888888888889999181818181818181818183636363636361111224444444444888888888888999918181818181818181818363636363636
order1244243366881212121266121224242424242424242244244444444444448822442466668812121212661212242424242424242422442444444444444488
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χ51111111111-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ71111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii11
χ81111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i11
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χ8844-4-44-4-21-21002-12-1-212-100−3i3i003i−3i00000000000000000000-4-444-442-12-100-21-212-1-21003i−3i00−3i3i00000000000000000000
χ8944-4-4-441-21-24i−4i-12-12-121-2ii−2i−2i−i−i2i2i00000000000000000000-4-4444-4-12-12−4i4i1-21-21-2-12−i−i2i2iii−2i−2i00000000000000000000
χ9044-4-4-441-21-2−4i4i-12-12-121-2−i−i2i2iii−2i−2i00000000000000000000-4-4444-4-12-124i−4i1-21-21-2-12ii−2i−2i−i−i2i2i00000000000000000000
χ9144-4-4-44-21-214i−4i2-12-12-1-21−2i−2iii2i2i−i−i00000000000000000000-4-4444-42-12-1−4i4i-21-21-212-12i2i−i−i−2i−2iii00000000000000000000
χ9244-4-4-44-21-21−4i4i2-12-12-1-212i2i−i−i−2i−2iii00000000000000000000-4-4444-42-12-14i−4i-21-21-212-1−2i−2iii2i2i−i−i00000000000000000000
χ938-88i−8i002-4-24002i−4i−2i4i00000000000000000000000000000000-88−8i8i00-242-400−2i4i2i−4i00000000000000000000000000000000
χ948-88i−8i00-424-200−4i2i4i−2i00000000000000000000000000000000-88−8i8i004-2-42004i−2i−4i2i00000000000000000000000000000000
χ958-8−8i8i002-4-2400−2i4i2i−4i00000000000000000000000000000000-888i−8i00-242-4002i−4i−2i4i00000000000000000000000000000000
χ968-8−8i8i00-424-2004i−2i−4i2i00000000000000000000000000000000-888i−8i004-2-4200−4i2i4i−2i00000000000000000000000000000000

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