Finite Group Databasebeta

← Group #11796832

Character table — Group #11796832

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11222222222222244444444444444444444444444444242424242424242424242424363636361122222222222224444444444444444444444444444424242424242424242424242436363636
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χ21111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-11111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
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χ611-111-111-1-11-1-1-1-11-1-1-111-1-1-1111111111111-1-1-1-1-1-1-1-11-1−ii11−i−iii-1-1−i−iii11-111-111-1-11-1-1-1-11-1-1-111-1-1-1111111111111-1-1-1-1-1-1-1-11-1−ii11−i−iii-1-1−i−iii
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χ1204-40-2-20022i3−2i322i2−2i2−232310−i3i3-1003−3003i−3i6−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000-4402200-2−2i32i3-2−2i22i223−23-10i3−i3100−3300−3i3i−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ230000000000000000

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