Finite Group Databasebeta

← Group #11793177

Character table — Group #11793177

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222223344446666666666666636666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422444444666612121212121212121212121222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ92222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ102222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ11222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000000000000
χ12222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111111110000000000000000
χ13222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-21111111111111111111111112200-2-200-1-1-1-111110000000000000000
χ14222222222-122222222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-20022001111-1-1-1-10000000000000000
χ1522222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-100000000
χ1622222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000001111111100000000
χ1722222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111002200-2-200000000-1-1-1-1111100000000
χ1822222222-122222-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111100-2-20022000000001111-1-1-1-100000000
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χ21222-2-22-2-222000022-2-2222-2-2-2-22-2-22222-2-2-2-2i2i2−i2−i20000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2000000000000000000000000002i−2i−2−222
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χ2422-22-2-22-2222-22-22-22-22-2-22-222-2-2-222-2-22-2-2200002-2-22-2-222-2-2-2-222220000000000000000000000000000000000−2i2i000000000000−2i−2i2i2i000000000000
χ2522-22-2-22-222-22-222-22-22-2-22-222-2-2-222-2-22-2-220000-222-222-2-22222-2-2-2-20000000000000000000000000000000000002i−2i0000002i2i−2i−2i0000000000000000
χ2622-22-2-22-222-22-222-22-22-2-22-222-2-2-222-2-22-2-220000-222-222-2-22222-2-2-2-2000000000000000000000000000000000000−2i2i000000−2i−2i2i2i0000000000000000
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χ372-22-2-2-22222-222-2-22-2-2-22-2-2-222-2222-22-2-22-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000002-20000002-22-200000000000000000000
χ382-22-2-2-22222-222-2-22-2-2-22-2-2-222-2222-22-2-22-220000-2-22-2-22-2-2-2-222222200000000000000000000000000000000-22000000-22-2200000000000000000000
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χ442-22-2-2-222-122-2-221-111-22-2-2-2-121-12-11-111-11-10000-1-1122-2-1-1-1-1111-2113−33−33−33−3000000003−3−33−333−33−3−33−333−3000000-2200000000−33−331-11-100000000
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χ462-22-2-2-222-122-2-221-111-22-2-2-2-121-12-11-111-11-10000-1-1122-2-1-1-1-1111-211−33−33−33−3300000000−333−33−3−33−333−33−3−33000000-22000000003−33−31-11-100000000
χ472-2-22-22-22220000-2-22-2-2-222-2-2-22222-2-2222-2-22−22−200000000000000002−2−22−222−22−2−22−222−22−22−2−22−22−22−222−22−20000000000000000000000002-2002−22−2
χ482-2-22-22-22220000-2-22-2-2-222-2-2-22222-2-2222-2-22−22−200000000000000002−2−22−222−22−2−22−222−22−22−2−22−22−22−222−22−2000000000000000000000000-2200−22−22
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.