Finite Group Databasebeta

← Group #11866210

Character table — Group #11866210

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order12222233444466666666661212121236666666668888121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222444422246666666666121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-11111-1-111-1-111-1-1-1-111-1-11-1
χ101111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-111-1-111-1-1-1-11111-1-111-11
χ111111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-111-1-11111-1-1-1-1-1-111-11
χ121111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-111-1-111-1-1111111-1-11-1
χ131111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-11-11-1-111-1-1-1-11111-1-11111-1-1-11
χ141111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-111-11111-1-1-1-111-1-111-1-1-1-1111-1
χ151111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11-1-11-1-1-1-11111-1-111-1-111-1-1111-1
χ161111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111-11-111-1-11111-1-1-1-111-1-111-1-1-11
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χ192222222-12222-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000220000-1-1-1-1-1-1-1-1000000000000
χ202222222-12222-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2000011111111000000000000
χ212222222-12222-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111122220000-2-20000-1-1-1-11111000000000000
χ222222222-12222-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-200002200001111-1-1-1-1000000000000
χ23222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220022-1-100000000-1-1-1-1-1-1000000
χ24222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200-2-21100000000111111000000
χ25222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000222200-2-21100000000-1-1-1-111000000
χ26222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-20022-1-1000000001111-1-1000000
χ272222-2-222-222-222-2-2-2-2222222222-2-222-2-2-2-220000-222-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-2200
χ282222-2-222-222-222-2-2-2-2222222222-2-222-2-2-2-220000-222-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-200
χ292222-2-22-12-2-22-1-11111-1222-2-2-2-2-1-2-2-1-11111-122-2-2-1112-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-200002-20000-1-111-1-111000000000000
χ302222-2-22-12-2-22-1-11111-1222-2-2-2-2-1-2-2-1-11111-122-2-2-1112-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2220000-22000011-1-111-1-1000000000000
χ312222-2-22-12-2-22-1-11111-1222-2-2-2-2-1-2-2-1-11111-1-2-222-1112-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-20000-220000-1-11111-1-1000000000000
χ322222-2-22-12-2-22-1-11111-1222-2-2-2-2-1-2-2-1-11111-1-2-222-1112-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-22200002-2000011-1-1-1-111000000000000
χ332222-2-2-122-2-2222-2-2-2-22-1-1-11111-111-1-11111-122-2-22-2-2-1-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-2002-2-1-100000000-1-11111000000
χ342222-2-2-122-2-2222-2-2-2-22-1-1-11111-111-1-11111-122-2-22-2-2-1-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-22200-22110000000011-1-1-1-1000000
χ352222-2-2-122-2-2222-2-2-2-22-1-1-11111-111-1-11111-1-2-2222-2-2-1-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-200-221100000000-1-111-1-1000000
χ362222-2-2-122-2-2222-2-2-2-22-1-1-11111-111-1-11111-1-2-2222-2-2-1-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-2-222002-2-1-10000000011-1-111000000
χ3722-2-22-22222-2-2-2-222-2-22-2-2222-2-222-2-2-222-2-22000022-222222-2-2-2-2-2-20000000000000000000000000000000000002i−2i2i−2i000000000000002i−2i2i−2i00000000
χ3822-2-22-22222-2-2-2-222-2-22-2-2222-2-222-2-2-222-2-22000022-222222-2-2-2-2-2-2000000000000000000000000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i00000000
χ3922-2-22-222-2-222-2-222-2-22-2-22-2-22222-2-2-222-2-220000-2-22-2-2-2-2-2222222000000000000000000000000000000002-22-200000000002-22-20000000000000000
χ4022-2-22-222-2-222-2-222-2-22-2-22-2-22222-2-2-222-2-220000-2-22-2-2-2-2-222222200000000000000000000000000000000-22-220000000000-22-220000000000000000
χ4122-2-22-22-1-2-22211-1-111-1-2-22-2-222-12-211-1-111-1000011-1-21111-1-1-12-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-22-20000000000-11-11−i3i3−i3i3000000000000
χ4222-2-22-22-1-2-22211-1-111-1-2-22-2-222-12-211-1-111-1000011-1-21111-1-1-12-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-22-2200000000001-11-1i3−i3i3−i3000000000000
χ4322-2-22-22-1-2-22211-1-111-1-2-22-2-222-12-211-1-111-1000011-1-21111-1-1-12-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-20000000000-11-11i3−i3i3−i3000000000000
χ4422-2-22-22-1-2-22211-1-111-1-2-22-2-222-12-211-1-111-1000011-1-21111-1-1-12-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-2200000000001-11-1−i3i3−i3i3000000000000
χ4522-2-22-2-1222-2-2-2-222-2-2211-1-1-111-1-1111-1-111-1000022-2-1-1-1-1-111-211133−3−3000033−3−333−3−333−3−3000033−3−333−3−300002i−2i2i−2i0000−i3i300000000−ii−ii−i3i3000000
χ4622-2-22-2-1222-2-2-2-222-2-2211-1-1-111-1-1111-1-111-1000022-2-1-1-1-1-111-211133−3−3000033−3−333−3−333−3−3000033−3−333−3−30000−2i2i−2i2i0000i3−i300000000i−ii−ii3−i3000000
χ4722-2-22-2-1222-2-2-2-222-2-2211-1-1-111-1-1111-1-111-1000022-2-1-1-1-1-111-2111−3−3330000−3−333−3−333−3−3330000−3−333−3−33300002i−2i2i−2i0000i3−i300000000−ii−iii3−i3000000
χ4822-2-22-2-1222-2-2-2-222-2-2211-1-1-111-1-1111-1-111-1000022-2-1-1-1-1-111-2111−3−3330000−3−333−3−333−3−3330000−3−333−3−3330000−2i2i−2i2i0000−i3i300000000i−ii−i−i3i3000000
χ4922-2-2-22222-22-2-2-2-2-2222-2-22-2-2222-22-2-2-2-222200002-22222-2-222-2-2-2-20000000000000000000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000
χ5022-2-2-22222-22-2-2-2-2-2222-2-22-2-2222-22-2-2-2-222200002-22222-2-222-2-2-2-2000000000000000000000000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000
χ5122-2-2-2222-22-22-2-2-2-2222-2-2222-2-22-22-2-2-2-22220000-22-2-2-2-222-2-22222000000000000000000000000000000002-2-2200000000002-2-220000000000000000
χ5222-2-2-2222-22-22-2-2-2-2222-2-2222-2-22-22-2-2-2-22220000-22-2-2-2-222-2-2222200000000000000000000000000000000-222-20000000000-222-20000000000000000
χ5322-2-2-222-1-22-221111-1-1-1-2-2222-2-2-1-221111-1-1-100001-11-211-1-111-12-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-2-220000000000-111-1−i3i3i3−i3000000000000
χ5422-2-2-222-1-22-221111-1-1-1-2-2222-2-2-1-221111-1-1-100001-11-211-1-111-12-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-222-200000000001-1-11i3−i3−i3i3000000000000
χ5522-2-2-222-1-22-221111-1-1-1-2-2222-2-2-1-221111-1-1-100001-11-211-1-111-12-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-2-220000000000-111-1i3−i3−i3i3000000000000
χ5622-2-2-222-1-22-221111-1-1-1-2-2222-2-2-1-221111-1-1-100001-11-211-1-111-12-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-222-200000000001-1-11−i3i3i3−i3000000000000
χ5722-2-2-22-122-22-2-2-2-2-222211-111-1-1-11-11111-1-1-100002-22-1-1-111-1-1-211133−3−3000033−3−333−3−3−3−3330000−3−333−3−33300002i−2i−2i2i0000−i3i300000000−iii−ii3−i3000000
χ5822-2-2-22-122-22-2-2-2-2-222211-111-1-1-11-11111-1-1-100002-22-1-1-111-1-1-211133−3−3000033−3−333−3−3−3−3330000−3−333−3−3330000−2i2i2i−2i0000i3−i300000000i−i−ii−i3i3000000
χ5922-2-2-22-122-22-2-2-2-2-222211-111-1-1-11-11111-1-1-100002-22-1-1-111-1-1-2111−3−3330000−3−333−3−33333−3−3000033−3−333−3−300002i−2i−2i2i0000i3−i300000000−iii−i−i3i3000000
χ6022-2-2-22-122-22-2-2-2-2-222211-111-1-1-11-11111-1-1-100002-22-1-1-111-1-1-2111−3−3330000−3−333−3−33333−3−3000033−3−333−3−30000−2i2i2i−2i0000−i3i300000000i−i−iii3−i3000000
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χ694444-4-4-2-24-4-44-2-22222-2-2-2-2222212211-1-1-1-1144-4-4-222-211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-22222-2-2-2-2222212211-1-1-1-11-4-444-222-211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-22222-2-2-2-2-2-2-2-212211-1-1-1-1100002-2-22-1-1111122-1-1000000003i3i−3i−3i−3i−3i3i3i00000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.