Finite Group Databasebeta

← Group #11870367

Character table — Group #11870367

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222223344446666666666121212123666666666888812121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444442444661212121212121212121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1
χ91111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-11-1
χ101111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-11111-1-1-1-1-1-111-1-111-11-11-11
χ111111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1111111-1-111-1-1-11-11-11
χ121111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1111-11-11-1
χ131111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1111-11-1-11
χ141111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-11-11-1-111-1-111-1-11111-1-1-11-111-1
χ151111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11-11-111-1-111-1-111-1-1-1-111-11-111-1
χ161111-1-111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-111-1-111-1-1-1-11111-1-11-11-1-11
χ1722222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-200
χ192222222-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002002-1-1-1-1-1-1-1-100000000000000
χ202222222-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-200-21111111100000000000000
χ212222222-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122220000-200-211-1-1-1-11100000000000000
χ222222222-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-200002002-1-11111-1-100000000000000
χ23222222-122222-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222022000000000-1-1-1-1-1-1-1-1000000
χ24222222-122222-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20-2-200000000011111111000000
χ25222222-122222-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000022220-2-2000000000-1-1-1-11111000000
χ26222222-122222-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-20220000000001111-1-1-1-1000000
χ272222-2-22222-2-2-2-2-2-222222222222-2-222-2-2-2-220000-222-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000000022-2-200
χ282222-2-22222-2-2-2-2-2-222222222222-2-222-2-2-2-220000-222-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000-2-22200
χ292222-2-22-1-2-222-2-2-2-22-1-1-1221111-111-1-11111-122-2-22-2-2-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000200-2-1-1-1-1111100000000000000
χ302222-2-22-1-2-222-2-2-2-22-1-1-1221111-111-1-11111-122-2-22-2-2-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2220000-20021111-1-1-1-100000000000000
χ312222-2-22-1-2-222-2-2-2-22-1-1-1221111-111-1-11111-1-2-2222-2-2-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-20000-200211-1-111-1-100000000000000
χ322222-2-22-1-2-222-2-2-2-22-1-1-1221111-111-1-11111-1-2-2222-2-2-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000200-2-1-111-1-11100000000000000
χ332222-2-2-12-2-2221111-1222-1-1-2-2-2-2-1-2-2-1-11111-122-2-2-1112-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-202-2000000000-1-111-1-111000000
χ342222-2-2-12-2-2221111-1222-1-1-2-2-2-2-1-2-2-1-11111-122-2-2-1112-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2220-2200000000011-1-111-1-1000000
χ352222-2-2-12-2-2221111-1222-1-1-2-2-2-2-1-2-2-1-11111-1-2-222-1112-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-20-22000000000-1-11111-1-1000000
χ362222-2-2-12-2-2221111-1222-1-1-2-2-2-2-1-2-2-1-11111-1-2-222-1112-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-2-22202-200000000011-1-1-1-111000000
χ372-2-222-2222-22-222-2-22-2-22-2-222-2-222-2-2-222-2-220000-22-2-2-2-222-2-222220000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ382-2-222-2222-22-222-2-22-2-22-2-222-2-222-2-2-222-2-220000-22-2-2-2-222-2-22222000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ392-2-222-222-22-2222-2-22-2-22-2-2-2-22222-2-2-222-2-2200002-22222-2-222-2-2-2-2000000000000000000000000000000002i−2i2i−2i00000000002i−2i2i−2i0000000000000000
χ402-2-222-222-22-2222-2-22-2-22-2-2-2-22222-2-2-222-2-2200002-22222-2-222-2-2-2-200000000000000000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i0000000000000000
χ412-2-222-22-1-22-2222-2-2211-1-2-211-1-1-1-1111-1-111-100002-22-1-1-111-1-1-2111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−32i−2i2i−2i00000000−i3i3−ii−ii−i3i300000000000000
χ422-2-222-22-1-22-2222-2-2211-1-2-211-1-1-1-1111-1-111-100002-22-1-1-111-1-1-2111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−3−2i2i−2i2i00000000i3−i3i−ii−ii3−i300000000000000
χ432-2-222-22-1-22-2222-2-2211-1-2-211-1-1-1-1111-1-111-100002-22-1-1-111-1-1-21110000−3−333−3−3−3−333330000−3−333−3−3−3−333332i−2i2i−2i00000000i3−i3−ii−iii3−i300000000000000
χ442-2-222-22-1-22-2222-2-2211-1-2-211-1-1-1-1111-1-111-100002-22-1-1-111-1-1-21110000−3−333−3−3−3−333330000−3−333−3−3−3−33333−2i2i−2i2i00000000−i3i3i−ii−i−i3i300000000000000
χ452-2-222-2-122-22-2-1-111-1-2-221122-2-2-12-211-1-111-100001-11-211-1-111-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ462-2-222-2-122-22-2-1-111-1-2-221122-2-2-12-211-1-111-100001-11-211-1-111-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ472-2-222-2-122-22-2-1-111-1-2-221122-2-2-12-211-1-111-100001-11-211-1-111-12-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ482-2-222-2-122-22-2-1-111-1-2-221122-2-2-12-211-1-111-100001-11-211-1-111-12-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ492-2-22-22222-2-22-2-2222-2-22-2-222-2-22-22-2-2-2-2222000022-222222-2-2-2-2-2-2000000000000000000000000000000002i−2i−2i2i00000000002i−2i−2i2i0000000000000000
χ502-2-22-22222-2-22-2-2222-2-22-2-222-2-22-22-2-2-2-2222000022-222222-2-2-2-2-2-200000000000000000000000000000000−2i2i2i−2i0000000000−2i2i2i−2i0000000000000000
χ512-2-22-2222-222-2-2-2222-2-22-2-2-2-2222-22-2-2-2-22220000-2-22-2-2-2-2-22222220000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ522-2-22-2222-222-2-2-2222-2-22-2-2-2-2222-22-2-2-2-22220000-2-22-2-2-2-2-2222222000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ532-2-22-222-12-2-22-2-222211-1-2-2-1-111-11-11111-1-1-1000022-2-1-1-1-1-111-2111000033−3−33333−3−3−3−30000−3−333−3−3−3−333332i−2i−2i2i00000000−i3i3−iii−ii3−i300000000000000
χ542-2-22-222-12-2-22-2-222211-1-2-2-1-111-11-11111-1-1-1000022-2-1-1-1-1-111-2111000033−3−33333−3−3−3−30000−3−333−3−3−3−33333−2i2i2i−2i00000000i3−i3i−i−ii−i3i300000000000000
χ552-2-22-222-12-2-22-2-222211-1-2-2-1-111-11-11111-1-1-1000022-2-1-1-1-1-111-21110000−3−333−3−3−3−33333000033−3−33333−3−3−3−32i−2i−2i2i00000000i3−i3−iii−i−i3i300000000000000
χ562-2-22-222-12-2-22-2-222211-1-2-2-1-111-11-11111-1-1-1000022-2-1-1-1-1-111-21110000−3−333−3−3−3−33333000033−3−33333−3−3−3−3−2i2i2i−2i00000000−i3i3i−i−iii3−i300000000000000
χ572-2-22-22-12-222-211-1-1-1-2-2211-2-222-1-221111-1-1-1000011-1-21111-1-1-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300002i−2i−2i2i000000000000−iii−i3−3−33000000
χ582-2-22-22-12-222-211-1-1-1-2-2211-2-222-1-221111-1-1-1000011-1-21111-1-1-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000−2i2i2i−2i000000000000i−i−ii−333−3000000
χ592-2-22-22-12-222-211-1-1-1-2-2211-2-222-1-221111-1-1-1000011-1-21111-1-1-12-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i−2i2i000000000000−iii−i−333−3000000
χ602-2-22-22-12-222-211-1-1-1-2-2211-2-222-1-221111-1-1-1000011-1-21111-1-1-12-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i2i−2i000000000000i−i−ii3−3−33000000
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χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-211111114444-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111-4-4-4-4-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-2111111100002222-1-1-1-1-1-122-1-1000000003i3i−3i−3i−3i−3i3i3i000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-2111111100002222-1-1-1-1-1-122-1-100000000−3i−3i3i3i3i3i−3i−3i00000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ674444-4-44-244-4-4-4-4-4-44-2-2-244-2-2-2-2-222-2-22222-20000-444222-2-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000
χ684444-4-4-2444-4-42222-2444-2-24444-2-4-4-2-22222-200002-2-2-422-2-2-2-22-422000000000000000000000000000000000000000000000000000000000000000000
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χ704444-4-4-2-244-4-42222-2-2-2-2-2-2-2-2-2-212211-1-1-1-1100002-2-22-1-1111122-1-100000000−3i−3i3i3i3i3i−3i−3i000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ714444-4-4-2-2-4-4442222-2-2-2-2-2-2222212211-1-1-1-1144-4-4-222-211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.