Finite Group Databasebeta

← Group #11773924

Character table — Group #11773924

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444444444444444444444444444444444444444444444444444444181818183636363636367272727272727272
order122222444433444466666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444422224488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ6111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11-11-11-1
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χ12111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−ii−iii−ii−i
χ13111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111-1-111-1-11
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χ202222-2-2-2-222220000-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-2222-2000000000000
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χ914-4-4400-44001-20000-33003-300-12-11-22-111-1-222-23-3-330000−33−3300−23233−33−30023−233−3−3300−2323−333−30023−23000000000000000000
χ924-4-4400-440044000000000000-4-4-444-4-444-44-4-440000000000000000000000000000000000000000000000000000000000
χ934-4-4400-4400-210000003-300-332-12-21-12-2-221-1-110000-333-323−2300−33−33−2323003−33−3−2323003−3−3323−2300−333−3000000000000000000
χ944-4-4400-4400-210000003-300-332-12-21-12-2-221-1-110000-333-3−2323003−33−323−2300−33−3323−2300−333−3−2323003−3−33000000000000000000
χ954-4-4400-4400-21000000-33003-32-12-21-12-2-221-1-1100003-3-330023−233−3−3300−2323−333−30023−23−33−3300−23233−33−3000000000000000000
χ964-4-4400-4400-21000000-33003-32-12-21-12-2-221-1-1100003-3-3300−2323−333−30023−233−3−3300−23233−33−30023−23−33−33000000000000000000

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