Finite Group Databasebeta

← Group #11812915

Character table — Group #11812915

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order122222223366666666666666344444466666661212121212121212121212122222444466666666121212121212121212121212121212121212224444441212121212121212121212124466121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-11
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111-11111-1-1-1-1-1-1111-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-11-1-1-1-1111111-1-1-11
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1111111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-11-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-111-11
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1111-1-1-1-111-1-111-11
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-11-1-1-11111-1-111-1-11-1
χ17222222222-122222-1-1-1-1-1-1-122-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-122222-1-1-1-1-1-1-122-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-211111111000000
χ19222222222-122222-1-1-1-1-1-1-122-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-11111111122-2-200000000000000002-2-1-1-1-11111000000
χ20222222222-122222-1-1-1-1-1-1-122-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-111111111-2-2220000000000000000-221111-1-1-1-1000000
χ21222222222-122222-1-1-1-1-1-1-122-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-1111122220000000000000000-2-2-1-111-1-111000000
χ22222222222-122222-1-1-1-1-1-1-122-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-11111-2-2-2-200000000000000002211-1-111-1-1000000
χ23222222222-122222-1-1-1-1-1-1-122-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-122-2-20000000000000000-22-1-11111-1-1000000
χ24222222222-122222-1-1-1-1-1-1-122-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-1-2-22200000000000000002-211-1-1-1-111000000
χ2522222222-12-1-1-1-1-12222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1-12222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-21111111111110000000000000000
χ2722222222-12-1-1-1-1-12222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000022-2-2-1-1-1-1111111110000000000000000
χ2822222222-12-1-1-1-1-12222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111111122-2-2-2-2-1-1-1-1111111110000-2-2221111-1-1-1-1-1-1-1-10000000000000000
χ2922222222-12-1-1-1-1-12222222-1-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000-2-2-2-21111-1-1-1-111110000000000000000
χ3022222222-12-1-1-1-1-12222222-1-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-222-2-21111-1-1-1-1111100002222-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1-1-1-12222222-1-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000-2-22211111111-1-1-1-10000000000000000
χ3222222222-12-1-1-1-1-12222222-1-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2222211111111-2-2-2-22211111111-1-1-1-1000022-2-2-1-1-1-1-1-1-1-111110000000000000000
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χ3422-2-22-22-22222-2-2-22-22-22-2-22-22002i−2i0022-2-2-22-200002i2i−2i−2i0000-2-222−2i−2i2i2i-2-2-2-22222002i−2i0000002i2i−2i−2i0000000000000000−2i−2i2i2i00000000000000000000
χ3522-2-22-22-22222-2-2-22-22-22-2-22-2200−2i2i0022-2-2-22-20000−2i−2i2i2i000022-2-2−2i−2i2i2i2222-2-2-2-200−2i2i000000−2i−2i2i2i0000000000000000−2i−2i2i2i00000000000000000000
χ3622-2-22-22-22222-2-2-22-22-22-2-22-2200−2i2i0022-2-2-22-20000−2i−2i2i2i0000-2-2222i2i−2i−2i-2-2-2-2222200−2i2i000000−2i−2i2i2i00000000000000002i2i−2i−2i00000000000000000000
χ3722-2-22-22-2-12-1-11112-22-22-2-2-11-1002i−2i00-1-1111-11−i3−i3i3i3−i−iii33−3−322-2-22i2i−2i−2i-1-1-1-11111002i−2i00−i3−i3i3i3−i−iii33−3−300000000−i3−i3i3i3−i−iii33−3−30000000000000000
χ3822-2-22-22-2-12-1-11112-22-22-2-2-11-1002i−2i00-1-1111-11−i3−i3i3i3−i−iii33−3−3-2-222−2i−2i2i2i1111-1-1-1-1002i−2i00−i3−i3i3i3−i−iii33−3−300000000i3i3−i3−i3ii−i−i−3−3330000000000000000
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χ4022-2-22-22-2-12-1-11112-22-22-2-2-11-1002i−2i00-1-1111-11i3i3−i3−i3−i−iii−3−333-2-222−2i−2i2i2i1111-1-1-1-1002i−2i00i3i3−i3−i3−i−iii−3−33300000000−i3−i3i3i3ii−i−i33−3−30000000000000000
χ4122-2-22-22-2-12-1-11112-22-22-2-2-11-100−2i2i00-1-1111-11−i3−i3i3i3ii−i−i−3−33322-2-2−2i−2i2i2i-1-1-1-1111100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000−i3−i3i3i3ii−i−i−3−3330000000000000000
χ4222-2-22-22-2-12-1-11112-22-22-2-2-11-100−2i2i00-1-1111-11−i3−i3i3i3ii−i−i−3−333-2-2222i2i−2i−2i1111-1-1-1-100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000i3i3−i3−i3−i−iii33−3−30000000000000000
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χ4422-2-22-22-2-12-1-11112-22-22-2-2-11-100−2i2i00-1-1111-11i3i3−i3−i3ii−i−i33−3−3-2-2222i2i−2i−2i1111-1-1-1-100−2i2i00i3i3−i3−i3ii−i−i33−3−300000000−i3−i3i3i3−i−iii−3−3330000000000000000
χ452-22-222-2-222-2-222-2-222-2-22-22-2200002i−2i-2-222-22-2000000002i−2i2i−2i00002i−2i2i−2i0000000000002i−2i000000002i−2i2i−2i00002-2002-22-22i−2i2i−2i00000000000000000000
χ462-22-222-2-222-2-222-2-222-2-22-22-2200002i−2i-2-222-22-2000000002i−2i2i−2i0000−2i2i−2i2i0000000000002i−2i000000002i−2i2i−2i0000-2200-22-22−2i2i−2i2i00000000000000000000
χ472-22-222-2-222-2-222-2-222-2-22-22-220000−2i2i-2-222-22-200000000−2i2i−2i2i00002i−2i2i−2i000000000000−2i2i00000000−2i2i−2i2i0000-2200-22-222i−2i2i−2i00000000000000000000
χ482-22-222-2-222-2-222-2-222-2-22-22-220000−2i2i-2-222-22-200000000−2i2i−2i2i0000−2i2i−2i2i000000000000−2i2i00000000−2i2i−2i2i00002-2002-22-2−2i2i−2i2i00000000000000000000
χ492-22-222-2-2-1211-1-11-222-2-22-2-11-100002i−2i11-1-11-11−i3i3−i3i33−33−3−ii−ii00002i−2i2i−2i−i3−i3i3i3−i3−i3i3i300002i−2i−i3i3−i3i33−33−3−ii−ii00002-200-11-11−ii−ii3−33−30000000000000000
χ502-22-222-2-2-1211-1-11-222-2-22-2-11-100002i−2i11-1-11-11−i3i3−i3i33−33−3−ii−ii0000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i300002i−2i−i3i3−i3i33−33−3−ii−ii0000-22001-11-1i−ii−i−33−330000000000000000
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χ522-22-222-2-2-1211-1-11-222-2-22-2-11-100002i−2i11-1-11-11i3−i3i3−i3−33−33−ii−ii0000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i300002i−2ii3−i3i3−i3−33−33−ii−ii0000-22001-11-1i−ii−i3−33−30000000000000000
χ532-22-222-2-2-1211-1-11-222-2-22-2-11-10000−2i2i11-1-11-11−i3i3−i3i3−33−33i−ii−i00002i−2i2i−2ii3i3−i3−i3i3i3−i3−i30000−2i2i−i3i3−i3i3−33−33i−ii−i0000-22001-11-1−ii−ii3−33−30000000000000000
χ542-22-222-2-2-1211-1-11-222-2-22-2-11-10000−2i2i11-1-11-11−i3i3−i3i3−33−33i−ii−i0000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i30000−2i2i−i3i3−i3i3−33−33i−ii−i00002-200-11-11i−ii−i−33−330000000000000000
χ552-22-222-2-2-1211-1-11-222-2-22-2-11-10000−2i2i11-1-11-11i3−i3i3−i33−33−3i−ii−i00002i−2i2i−2i−i3−i3i3i3−i3−i3i3i30000−2i2ii3−i3i3−i33−33−3i−ii−i0000-22001-11-1−ii−ii−33−330000000000000000
χ562-22-222-2-2-1211-1-11-222-2-22-2-11-10000−2i2i11-1-11-11i3−i3i3−i33−33−3i−ii−i0000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i30000−2i2ii3−i3i3−i33−33−3i−ii−i00002-200-11-11i−ii−i3−33−30000000000000000
χ572-22-2-2-222222-22-2-2-2-2-2222-2-2220000002-22-2-2-220000000000002-22-200002-22-22-22-20000000000000000002-2000000000000000000002-20000002-20000
χ582-22-2-2-222222-22-2-2-2-2-2222-2-2220000002-22-2-2-220000000000002-22-200002-22-22-22-2000000000000000000-2200000000000000000000-22000000-220000
χ592-22-2-2-222222-22-2-2-2-2-2222-2-2220000002-22-2-2-22000000000000-22-220000-22-22-22-220000000000000000002-2000000000000000000002-2000000-220000
χ602-22-2-2-222222-22-2-2-2-2-2222-2-2220000002-22-2-2-22000000000000-22-220000-22-22-22-22000000000000000000-2200000000000000000000-220000002-20000
χ612-2-222-2-2222-2-2-2-22-2-222-2-222222-20000-2-2-2-22222-2-220000000000002-2-22000000002-200002-2-22000000000000002-200002-2-222-2-220000000000000000
χ622-2-222-2-2222-2-2-2-22-2-222-2-222222-20000-2-2-2-22222-2-22000000000000-222-2000000002-200002-2-2200000000000000-220000-222-2-222-20000000000000000
χ632-2-222-2-2222-2-2-2-22-2-222-2-22222-220000-2-2-2-2222-222-20000000000002-2-2200000000-220000-222-200000000000000-2200002-2-22-222-20000000000000000
χ642-2-222-2-2222-2-2-2-22-2-222-2-22222-220000-2-2-2-2222-222-2000000000000-222-200000000-220000-222-2000000000000002-20000-222-22-2-220000000000000000
χ652-2-222-2-22-121111-1-2-222-2-22-1-1-12-200001111-1-1-1-111-1−i3i3i3−i3−i3i3i3−i300002-2-22−i3−i3i3i3i3i3−i3−i32-20000-111-1−i3i3i3−i3−i3i3i3−i30000002-2−i3i3i3−i3-111-1-111-10000000000000000
χ662-2-222-2-22-121111-1-2-222-2-22-1-1-12-200001111-1-1-1-111-1−i3i3i3−i3−i3i3i3−i30000-222-2i3i3−i3−i3−i3−i3i3i32-20000-111-1−i3i3i3−i3−i3i3i3−i3000000-22i3−i3−i3i31-1-111-1-110000000000000000
χ672-2-222-2-22-121111-1-2-222-2-22-1-1-12-200001111-1-1-1-111-1i3−i3−i3i3i3−i3−i3i300002-2-22i3i3−i3−i3−i3−i3i3i32-20000-111-1i3−i3−i3i3i3−i3−i3i30000002-2i3−i3−i3i3-111-1-111-10000000000000000
χ682-2-222-2-22-121111-1-2-222-2-22-1-1-12-200001111-1-1-1-111-1i3−i3−i3i3i3−i3−i3i30000-222-2−i3−i3i3i3i3i3−i3−i32-20000-111-1i3−i3−i3i3i3−i3−i3i3000000-22−i3i3i3−i31-1-111-1-110000000000000000
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χ994-44-444-4-4-2-222-2-222-2-222-22-22100004i−4i-1-111-11-1−2i32i3−2i32i323−2323−23−2i2i−2i2i00000000000000000000−2i2ii3−i3i3−i3−33−33i−ii−i000000000000000000000000000000000000
χ1004-44-444-4-4-2-222-2-222-2-222-22-22100004i−4i-1-111-11-12i3−2i32i3−2i3−2323−2323−2i2i−2i2i00000000000000000000−2i2i−i3i3−i3i33−33−3i−ii−i000000000000000000000000000000000000
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χ1114-4-444-4-44-2-22222-222-2-222-2-2-21-440000-1-1-1-11112-2-22−2i32i32i3−2i32i3−2i3−2i32i300000000000000002-20000-111-1i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ1124-4-444-4-44-2-22222-222-2-222-2-2-21-440000-1-1-1-11112-2-222i3−2i3−2i32i3−2i32i32i3−2i300000000000000002-20000-111-1−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ1134-4-44-444-44-24-4-4442-222-22-2-4-4-2000000-222-2-2220000000000000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000
χ1144-4-44-444-44-24-4-4442-222-22-2-4-4-2000000-222-2-222000000000000000000000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000
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χ1164-4-44-444-4-24-222-2-2-44-4-44-4422-2000000-222-2-222000000000000-444-400002-22-2-22-22000000000000000000000000000000000000000000000000000000
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χ1198-88-8-8-888-4-4-44-444444-4-4-444-420000002-22-2-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-888-8-4-4-444-4-44-444-44-44420000002-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000

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