Finite Group Databasebeta

← Group #11864371

Character table — Group #11864371

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order122222334444666666666612121212366666666688881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422222244446666668812121212121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-1
χ91111-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-11-111-1-11-11-111-1-111-1-111-1-11-1
χ101111-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-1111-1-1-11-1111-1-1-1-111-1-111-11
χ111111-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-1-1111-11-1-1-11111-1-1-1-111-11
χ121111-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-11-1-111-11-11-1-111-1-11111-1-11-1
χ131111-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-11-1-111-111-1-1-111-1-1-111-1-11111-1-1-11
χ141111-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-11-11-1111-1-11-1-11-1-11111-1-1-1-1111-1
χ151111-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-11-11-11-1-1-111-111-111-1-1-1-111-1-1111-1
χ161111-1-111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11-111-1-11-1-1111-1-1111-1-111-1-111-1-1-11
χ1722222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002-2-22002-2000000-2200000000000000
χ1822222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-222-200-220000002-200000000000000
χ192222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ202222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ212222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122220000-2-200-1-1-1-1000011110000000000
χ222222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-20000220011110000-1-1-1-10000000000
χ23222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200-1-1000022-1-10000-1-1-1-1000000
χ24222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200110000-2-21100001111000000
χ25222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-2111111110000222200-1-10000-2-2-1-100001111000000
χ26222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-2111111110000-2-2-2-20011000022110000-1-1-1-1000000
χ27222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−300002-2-2200-110000001-100003−33−3000000
χ28222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−30000-222-2001-1000000-110000−33−33000000
χ29222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−3333300002-2-2200-110000001-10000−33−33000000
χ30222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−333330000-222-2001-1000000-1100003−33−3000000
χ312222-2-22222-2-22222-2-2-2-222-2-2-2-22-2-222-2-2-2-22000022-222-2-22222-2-2-200000000000000000000000000000000000022-2-20022000000-2-200000000000000
χ322222-2-22222-2-22222-2-2-2-222-2-2-2-22-2-222-2-2-2-22000022-222-2-22222-2-2-2000000000000000000000000000000000000-2-22200-2-20000002200000000000000
χ332222-2-22-1-2-22222-1-111112-12222-1-2-2-1-11111-122-2-2-2-2-111-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111122-2-200002-200-1-1110000-1-1110000000000
χ342222-2-22-1-2-22222-1-111112-12222-1-2-2-1-11111-122-2-2-2-2-111-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2220000-220011-1-1000011-1-10000000000
χ352222-2-22-1-2-22222-1-111112-12222-1-2-2-1-11111-1-2-222-2-2-111-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-20000-2200-1-111000011-1-10000000000
χ362222-2-22-1-2-22222-1-111112-12222-1-2-2-1-11111-1-2-222-2-2-111-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-22200002-20011-1-10000-1-1110000000000
χ372222-2-2-1222-2-2-1-122-2-2-2-2-121111-111-1-11111-10000-1-1-22211-1-1-1-1-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−33333000022-2-200-1-10000001100003−3−33000000
χ382222-2-2-1222-2-2-1-122-2-2-2-2-121111-111-1-11111-10000-1-1-22211-1-1-1-1-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−333330000-2-2220011000000-1-10000−333−3000000
χ392222-2-2-1222-2-2-1-122-2-2-2-2-121111-111-1-11111-10000-1-1-22211-1-1-1-1-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3000022-2-200-1-1000000110000−333−3000000
χ402222-2-2-1222-2-2-1-122-2-2-2-2-121111-111-1-11111-10000-1-1-22211-1-1-1-1-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−30000-2-2220011000000-1-100003−3−33000000
χ412222-2-2-12-2-222-1-122-2-2-2-2-12-1-1-1-1-111-1-11111-122-2-2112-2-2-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111100002-22-200-1100002-2-110000-1-111000000
χ422222-2-2-12-2-222-1-122-2-2-2-2-12-1-1-1-1-111-1-11111-122-2-2112-2-2-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000-22-22001-10000-221-1000011-1-1000000
χ432222-2-2-12-2-222-1-122-2-2-2-2-12-1-1-1-1-111-1-11111-1-2-222112-2-2-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100002-22-200-110000-22-11000011-1-1000000
χ442222-2-2-12-2-222-1-122-2-2-2-2-12-1-1-1-1-111-1-11111-1-2-222112-2-2-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-10000-22-22001-100002-21-10000-1-111000000
χ452-2-222-2222-22-2-2-2-2-222-2-22222-2-222-2-2-222-2-2200002-2-22-2-2-222-2-2222000000000000000000000000000000002-22-2000000002-22-2000000000000000000
χ462-2-222-2222-22-2-2-2-2-222-2-22222-2-222-2-2-222-2-2200002-2-22-2-2-222-2-222200000000000000000000000000000000-22-2200000000-22-22000000000000000000
χ472-2-222-222-22-22-2-2-2-222-2-222-2-22222-2-2-222-2-220000-222-2222-2-222-2-2-20000000000000000000000000000000000000000000000000000000000002-22-200
χ482-2-222-222-22-22-2-2-2-222-2-222-2-22222-2-2-222-2-220000-222-2222-2-222-2-2-2000000000000000000000000000000000000000000000000000000000000-22-2200
χ492-2-222-22-12-22-2-2-211-1-1112-122-2-2-12-211-1-111-100002-21-1111-1-111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-22-200000000-11-110000−i3i3−i3i30000000000
χ502-2-222-22-12-22-2-2-211-1-1112-122-2-2-12-211-1-111-100002-21-1111-1-111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-22-22000000001-11-10000i3−i3i3−i30000000000
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χ522-2-222-22-12-22-2-2-211-1-1112-122-2-2-12-211-1-111-100002-21-1111-1-111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-22-22000000001-11-10000−i3i3−i3i30000000000
χ532-2-22-22222-2-22-2-2-2-2-2-22222-2-2222-22-2-2-2-222200002-222-22222-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-2200
χ542-2-22-22222-2-22-2-2-2-2-2-22222-2-2222-22-2-2-2-222200002-222-22222-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-200
χ552-2-22-2222-222-2-2-2-2-2-2-2222222-2-22-22-2-2-2-22220000-22-2-22-2-2-2-222222000000000000000000000000000000002-2-22000000002-2-22000000000000000000
χ562-2-22-2222-222-2-2-2-2-2-2-2222222-2-22-22-2-2-2-22220000-22-2-22-2-2-2-22222200000000000000000000000000000000-222-200000000-222-2000000000000000000
χ572-2-22-222-1-222-2-2-21111-1-12-122-2-2-1-221111-1-1-10000-2211-11111-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-2-2200000000-111-10000−i3i3i3−i30000000000
χ582-2-22-222-1-222-2-2-21111-1-12-122-2-2-1-221111-1-1-10000-2211-11111-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-222-2000000001-1-110000i3−i3−i3i30000000000
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χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-1−23−232323−23−23232300003333−3−3−3−300003333−3−3−3−30000000000000000000000000000000000
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χ684444-4-4-2-244-4-4-2-2-2-22222-2-2222212211-1-1-1-110000-2-22-2-2-1-111112-1-1−23−2323232323−23−2300003333−3−3−3−30000−3−3−3−333330000000000000000000000000000000000
χ694444-4-4-2-2-4-444-2-2-2-22222-2-2-2-2-2-212211-1-1-1-1144-4-422-22211-1-1-1-1-211-2-2-2-22222-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ704444-4-4-2-2-4-444-2-2-2-22222-2-2-2-2-2-212211-1-1-1-11-4-44422-22211-1-1-1-1-2112222-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000000000000000000
χ7144-4-4004400004-44-40000-4-400004004-40000-400−2i22i2000000000000000000−2i22i2−2i22i2000000000000−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.