Finite Group Databasebeta

← Group #11817744

Character table — Group #11817744

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order122222223366666666666666344444466666661212121212121212121212124444444412121212121212121212121212121212121212121212121212122244444466661212121212121212441212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-1-1-11111-1-1111-1
χ6111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111-11111-1-1-1-111-1-1-11
χ7111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11
χ8111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1111-1
χ91111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1
χ101111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ121111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1111111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-11-1-1-11111-1-1-1-111-11
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-11111-1-11-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-11-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ17222222222-1222-1-1-1-1-1222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-1-1-1-1222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111111110000000000000000
χ19222222222-1222-1-1-1-1-1222-12-1-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-12222-2-2-2-21111111122-2-2-2-2-1-1-1-111111111-2-22200001111-1-1-1-1-1-1-1-10000000000000000
χ20222222222-1222-1-1-1-1-1222-12-1-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-20000-1-1-1-1111111110000000000000000
χ21222222222-1222-1-1-1-1-1222-12-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-2-2-200001111-1-1-1-111110000000000000000
χ22222222222-1222-1-1-1-1-1222-12-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111-2-222-2-21111-1-1-1-1111122220000-1-1-1-11111-1-1-1-10000000000000000
χ23222222222-1222-1-1-1-1-1222-12-1-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-111112222-2-2-2-211111111-2-2-2-22211111111-1-1-1-122-2-20000-1-1-1-1-1-1-1-111110000000000000000
χ24222222222-1222-1-1-1-1-1222-12-1-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-222000011111111-1-1-1-10000000000000000
χ2522222222-12-1-1-122222-1-1-12-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-1-122222-1-1-12-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-211111111000000
χ2722222222-12-1-1-122222-1-1-12-12-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000000000000-1-11111-1-1-1-111111111000022-2-2000000000000-221111-1-1-1-1000000
χ2822222222-12-1-1-122222-1-1-12-12-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000000000000-1-11111-1-1-1-1111111110000-2-2220000000000002-2-1-1-1-11111000000
χ2922222222-12-1-1-122222-1-1-12-12-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000000000000011-1-1111111-1-1-1-1111100002222000000000000-2-2-1-111-1-111000000
χ3022222222-12-1-1-122222-1-1-12-12-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000000000000011-1-1111111-1-1-1-111110000-2-2-2-20000000000002211-1-111-1-1000000
χ3122222222-12-1-1-122222-1-1-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000000000001111-1-111111111-1-1-1-1000022-2-20000000000002-211-1-1-1-111000000
χ3222222222-12-1-1-122222-1-1-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000000000001111-1-111111111-1-1-1-10000-2-222000000000000-22-1-11111-1-1000000
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χ3422-2-22-22-2222-2-222-2-2-22-222-2-2200002i−2i22-2-2-22-200002i2i−2i−2i0000−2i−2i2i2i00000000000000002i−2i000000002i2i−2i−2i-22000000-2-222−2i−2i2i2i00000000000000000000
χ3522-2-22-22-2222-2-222-2-2-22-222-2-220000−2i2i22-2-2-22-20000−2i−2i2i2i00002i2i−2i−2i0000000000000000−2i2i00000000−2i−2i2i2i-22000000-2-2222i2i−2i−2i00000000000000000000
χ3622-2-22-22-2222-2-222-2-2-22-222-2-220000−2i2i22-2-2-22-20000−2i−2i2i2i0000−2i−2i2i2i0000000000000000−2i2i00000000−2i−2i2i2i2-200000022-2-2−2i−2i2i2i00000000000000000000
χ3722-2-22-22-22-12-2-2-1-11112-22-1-21-100002i−2i-1-1111-1133−3−3−i−iii−i3−i3i3i32i2i−2i−2i0000−i3−i3−i3−i3i3i3i3i300002i−2i−i3−i3i3i333−3−3−i−iii2-2000000-1-111−i−iii33−3−30000000000000000
χ3822-2-22-22-22-12-2-2-1-11112-22-1-21-100002i−2i-1-1111-1133−3−3−i−iii−i3−i3i3i3−2i−2i2i2i0000i3i3i3i3−i3−i3−i3−i300002i−2i−i3−i3i3i333−3−3−i−iii-2200000011-1-1ii−i−i−3−3330000000000000000
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χ4222-2-22-22-22-12-2-2-1-11112-22-1-21-10000−2i2i-1-1111-1133−3−3ii−i−ii3i3−i3−i3−2i−2i2i2i0000i3i3i3i3−i3−i3−i3−i30000−2i2ii3i3−i3−i333−3−3ii−i−i2-2000000-1-111ii−i−i33−3−30000000000000000
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χ4422-2-22-22-22-12-2-2-1-11112-22-1-21-10000−2i2i-1-1111-11−3−333ii−i−i−i3−i3i3i3−2i−2i2i2i0000−i3−i3−i3−i3i3i3i3i30000−2i2i−i3−i3i3i3−3−333ii−i−i2-2000000-1-111ii−i−i−3−3330000000000000000
χ4522-2-2-22-222222-22-22-22-2-2-2-22-220000002-22-2-2-2200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000002i−2i000000000000000000002i−2i002-20000
χ4622-2-2-22-222222-22-22-22-2-2-2-22-220000002-22-2-2-2200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000−2i2i00000000000000000000−2i2i00-220000
χ4722-2-2-22-222222-22-22-22-2-2-2-22-220000002-22-2-2-220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000002i−2i000000000000000000002i−2i00-220000
χ4822-2-2-22-222222-22-22-22-2-2-2-22-220000002-22-2-2-220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000−2i2i00000000000000000000−2i2i002-20000
χ492-22-222-2-222-22-2-2-222-2-2222-2-22002i−2i00-2-222-22-22i−2i2i−2i000000002i−2i2i−2i2-22-22-22-22-22-2002i−2i0000002i−2i2i−2i00000000000000002i−2i2i−2i00000000000000000000
χ502-22-222-2-222-22-2-2-222-2-2222-2-22002i−2i00-2-222-22-22i−2i2i−2i00000000−2i2i−2i2i-22-22-22-22-22-22002i−2i0000002i−2i2i−2i0000000000000000−2i2i−2i2i00000000000000000000
χ512-22-222-2-222-22-2-2-222-2-2222-2-2200−2i2i00-2-222-22-2−2i2i−2i2i000000002i−2i2i−2i-22-22-22-22-22-2200−2i2i000000−2i2i−2i2i00000000000000002i−2i2i−2i00000000000000000000
χ522-22-222-2-222-22-2-2-222-2-2222-2-2200−2i2i00-2-222-22-2−2i2i−2i2i00000000−2i2i−2i2i2-22-22-22-22-22-200−2i2i000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000000000
χ532-22-222-2-22-1-22-211-1-11-222-1-21-1002i−2i0011-1-11-11−ii−ii3−33−3−i3i3−i3i32i−2i2i−2i2-22-2-11-11-11-11002i−2i00−i3i3−i3i3−ii−ii3−33−300000000−i3i3−i3i3−ii−ii3−33−30000000000000000
χ542-22-222-2-22-1-22-211-1-11-222-1-21-1002i−2i0011-1-11-11−ii−ii3−33−3−i3i3−i3i3−2i2i−2i2i-22-221-11-11-11-1002i−2i00−i3i3−i3i3−ii−ii3−33−300000000i3−i3i3−i3i−ii−i−33−330000000000000000
χ552-22-222-2-22-1-22-211-1-11-222-1-21-1002i−2i0011-1-11-11−ii−ii−33−33i3−i3i3−i32i−2i2i−2i2-22-2-11-11-11-11002i−2i00i3−i3i3−i3−ii−ii−33−3300000000i3−i3i3−i3−ii−ii−33−330000000000000000
χ562-22-222-2-22-1-22-211-1-11-222-1-21-1002i−2i0011-1-11-11−ii−ii−33−33i3−i3i3−i3−2i2i−2i2i-22-221-11-11-11-1002i−2i00i3−i3i3−i3−ii−ii−33−3300000000−i3i3−i3i3i−ii−i3−33−30000000000000000
χ572-22-222-2-22-1-22-211-1-11-222-1-21-100−2i2i0011-1-11-11i−ii−i3−33−3i3−i3i3−i32i−2i2i−2i-22-221-11-11-11-100−2i2i00i3−i3i3−i3i−ii−i3−33−300000000−i3i3−i3i3−ii−ii−33−330000000000000000
χ582-22-222-2-22-1-22-211-1-11-222-1-21-100−2i2i0011-1-11-11i−ii−i3−33−3i3−i3i3−i3−2i2i−2i2i2-22-2-11-11-11-1100−2i2i00i3−i3i3−i3i−ii−i3−33−300000000i3−i3i3−i3i−ii−i3−33−30000000000000000
χ592-22-222-2-22-1-22-211-1-11-222-1-21-100−2i2i0011-1-11-11i−ii−i−33−33−i3i3−i3i32i−2i2i−2i-22-221-11-11-11-100−2i2i00−i3i3−i3i3i−ii−i−33−3300000000i3−i3i3−i3−ii−ii3−33−30000000000000000
χ602-22-222-2-22-1-22-211-1-11-222-1-21-100−2i2i0011-1-11-11i−ii−i−33−33−i3i3−i3i3−2i2i−2i2i2-22-2-11-11-11-1100−2i2i00−i3i3−i3i3i−ii−i−33−3300000000−i3i3−i3i3i−ii−i−33−330000000000000000
χ612-2-222-2-2222-2-22-2-2-2-22-2-2222222-20000-2-2-2-2222000000002-2-222-2-220000000000002-200002-2-2200000000002-2000000002-2-222-2-220000000000000000
χ622-2-222-2-2222-2-22-2-2-2-22-2-2222222-20000-2-2-2-2222000000002-2-22-222-20000000000002-200002-2-220000000000-2200000000-222-2-222-20000000000000000
χ632-2-222-2-2222-2-22-2-2-2-22-2-222222-220000-2-2-2-222200000000-222-22-2-22000000000000-220000-222-20000000000-22000000002-2-22-222-20000000000000000
χ642-2-222-2-2222-2-22-2-2-2-22-2-222222-220000-2-2-2-222200000000-222-2-222-2000000000000-220000-222-200000000002-200000000-222-22-2-220000000000000000
χ652-2-222-2-222-1-2-221111-1-2-22-12-1-12-200001111-1-1-1−i3i3i3−i3−i3i3i3−i3-111-12-2-220000−i3i3−i3i3i3−i3i3−i32-20000-111-1−i3i3i3−i3−i3i3i3−i3002-20000−i3i3i3−i3-111-1-111-10000000000000000
χ662-2-222-2-222-1-2-221111-1-2-22-12-1-12-200001111-1-1-1−i3i3i3−i3−i3i3i3−i3-111-1-222-20000i3−i3i3−i3−i3i3−i3i32-20000-111-1−i3i3i3−i3−i3i3i3−i300-220000i3−i3−i3i31-1-111-1-110000000000000000
χ672-2-222-2-222-1-2-221111-1-2-22-12-1-12-200001111-1-1-1i3−i3−i3i3i3−i3−i3i3-111-12-2-220000i3−i3i3−i3−i3i3−i3i32-20000-111-1i3−i3−i3i3i3−i3−i3i3002-20000i3−i3−i3i3-111-1-111-10000000000000000
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χ1144-4-44-444-44-2-4442-2-2224-4-42-4-2-20000002-2-22-2220000000000000000−4i4i4i−4i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000
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χ1164-4-44-444-4-242-2-2-444-4-4-222-424-20000002-2-22-2220000000000000000000000000000000000000000000000000000-44000000000000002-2000000000000
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χ11888-8-8-88-88-4-4-4-44-44-44-44444-4420000002-22-2-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1208-8-88-888-8-4-44-4-44-4-444-44444-42000000-222-22-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000

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