Finite Group Databasebeta

← Group #11788342

Character table — Group #11788342

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212224466881212242424242424242424242424242424242466668888121212124488121212122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ911111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i1-11111ii−i−i-1-1-1-11-1i−i11-1-1ii−i−iii−i−iii−i−i1-1
χ1011111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i1-11111−i−iii-1-1-1-1-11i−i-1-111ii−i−i−i−iii−i−iii-11
χ1111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii1-11111ii−i−i-1-1-1-1-11−ii-1-111−i−iiiii−i−iii−i−i-11
χ1211111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii1-11111−i−iii-1-1-1-11-1−ii11-1-1−i−iii−i−iii−i−iii1-1
χ1311111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1-1ii−i−i11111-1−ii11-1-1−i−iiiii−i−i−i−iii-11
χ1411111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1-1−i−iii1111-11−ii-1-111−i−iii−i−iiiii−i−i1-1
χ1511111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1-1ii−i−i1111-11i−i-1-111ii−i−iii−i−i−i−iii1-1
χ1611111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1-1−i−iii11111-1i−i11-1-1ii−i−i−i−iiiii−i−i-11
χ172222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-122222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10000-1-1-1-100220000-1-1-1-10000000000
χ182222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-122222-1-1-2-2-1-11111-2-21111-2-2111122-1-1-1-10000-1-1-1-100-2-2000011110000000000
χ192222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-211110000111100-2-2000011110000000000
χ202222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-2-2-2-2-1-1-2-2-1-11111-2-21111-2-21111-2-211110000111100220000-1-1-1-10000000000
χ212222222-1-2-2-2-22-1-12-121111-122-1-1-1-1-1-2-21111-211-222-2-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii2-2-1-1-1-100001111002i−2i0000−i−iii0000000000
χ222222222-1-2-2-2-22-1-12-121111-122-1-1-1-1-1-2-21111-211-222-2-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i2-2-1-1-1-10000111100−2i2i0000ii−i−i0000000000
χ232222222-1-2-2-2-22-1-12-121111-122-1-1-1-1-1-2-21111-211-2-2-222-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii-2211110000-1-1-1-100−2i2i0000ii−i−i0000000000
χ242222222-1-2-2-2-22-1-12-121111-122-1-1-1-1-1-2-21111-211-2-2-222-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i-2211110000-1-1-1-1002i−2i0000−i−iii0000000000
χ25222222-122222-122-12-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000222200002200-1-1-1-10000-1-1-1-1000000
χ26222222-122222-122-12-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-20000-2-200111100001111000000
χ27222222-122222-122-12-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-211111111111100000022220000-2-20011110000-1-1-1-1000000
χ28222222-122222-122-12-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-2111111111111000000-2-2-2-200002200-1-1-1-100001111000000
χ29222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-122-1-1-111-2-21111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii0000002i2i−2i−2i00002-200-1-1110000−i−iii000000
χ30222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-122-1-1-111-2-21111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii000000−2i−2i2i2i0000-220011-1-10000ii−i−i000000
χ31222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-122-1-1-111-2-21111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i0000002i2i−2i−2i0000-220011-1-10000−i−iii000000
χ32222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-122-1-1-111-2-21111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i000000−2i−2i2i2i00002-200-1-1110000ii−i−i000000
χ332222-2-2222-2-22222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-222222-2-200220000000000000000-2-222-2-2000022-2-20000000000000000000000
χ342222-2-2222-2-22222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-22-2-2-2-2-2-20022000000000000000022-2-2220000-2-2220000000000000000000000
χ352222-2-222-222-222222222222-2-2-2-2222-22-2-222222-222-2-2-2-200-2-20000000000000000-2222-2-20000-2-2220000000000000000000000
χ362222-2-222-222-222222222222-2-2-2-2222-22-2-222222-2-2-222-2-200-2-200000000000000002-2-2-222000022-2-20000000000000000000000
χ372222-2-22-12-2-222-1-12-121111-1-2-211-1-1-12-2-1-111-211222221100-1-13−33−30033−3−30033−3−3-2-2-1-1110000-1-111000000003−33−30000000000
χ382222-2-22-12-2-222-1-12-121111-1-2-211-1-1-12-2-1-111-211222221100-1-1−33−3300−3−33300−3−333-2-2-1-1110000-1-11100000000−33−330000000000
χ392222-2-22-12-2-222-1-12-121111-1-2-211-1-1-12-2-1-111-2112-2-2-2-21100-1-13−33−30033−3−30033−3−32211-1-1000011-1-100000000−33−330000000000
χ402222-2-22-12-2-222-1-12-121111-1-2-211-1-1-12-2-1-111-2112-2-2-2-21100-1-1−33−3300−3−33300−3−3332211-1-1000011-1-1000000003−33−30000000000
χ412222-2-22-1-222-22-1-12-12-1-1-1-1-1-2-211-1-1-1-2211-1-12-1-1-222-2-2110011−i3i3i3−i300−i3−i3i3i300i3i3−i3−i3-22-1-111000011-1-100000000−i3i3i3−i30000000000
χ422222-2-22-1-222-22-1-12-12-1-1-1-1-1-2-211-1-1-1-2211-1-12-1-1-222-2-2110011i3−i3−i3i300i3i3−i3−i300−i3−i3i3i3-22-1-111000011-1-100000000i3−i3−i3i30000000000
χ432222-2-22-1-222-22-1-12-12-1-1-1-1-1-2-211-1-1-1-2211-1-12-1-1-2-2-222110011−i3i3i3−i300−i3−i3i3i300i3i3−i3−i32-211-1-10000-1-11100000000i3−i3−i3i30000000000
χ442222-2-22-1-222-22-1-12-12-1-1-1-1-1-2-211-1-1-1-2211-1-12-1-1-2-2-222110011i3−i3−i3i300i3i3−i3−i300−i3−i3i3i32-211-1-10000-1-11100000000−i3i3i3−i30000000000
χ452-2-222-22222-2-2-2-2-222-222-2-222-22-2-2-222-22-2-2-2222-200002-2002-200000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ462-2-222-22222-2-2-2-2-222-222-2-222-22-2-2-222-22-2-2-2222-200002-2002-20000000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ472-2-222-222-2-222-2-2-222-2-2-22222-22-2-2-22-22-2222-2-2-2200002-200-2200000000000000000000002-2-2200000000000000002-2-22000000
χ482-2-222-222-2-222-2-2-222-2-2-22222-22-2-2-22-22-2222-2-2-2200002-200-220000000000000000000000-222-20000000000000000-222-2000000
χ492-2-222-2-1222-2-21-2-2-12122-2-2-1-112-211-1-112-211-1-1-110000-1100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000002i−2i2i−2i000000003−33−30000−ii−ii000000
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χ522-2-222-2-1222-2-21-2-2-12122-2-2-1-112-211-1-112-211-1-1-110000-1100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000−2i2i−2i2i000000003−33−30000i−ii−i000000
χ532-2-222-2-12-2-2221-2-2-121-2-222-1-112-211-11-1-22-1-1111-10000-11001-100003−33−33−3−33−33−330000002-2-2200000000−333−30000-111-1000000
χ542-2-222-2-12-2-2221-2-2-121-2-222-1-112-211-11-1-22-1-1111-10000-11001-100003−33−33−3−33−33−33000000-222-2000000003−3−3300001-1-11000000
χ552-2-222-2-12-2-2221-2-2-121-2-222-1-112-211-11-1-22-1-1111-10000-11001-10000−33−33−333−33−33−30000002-2-22000000003−3−330000-111-1000000
χ562-2-222-2-12-2-2221-2-2-121-2-222-1-112-211-11-1-22-1-1111-10000-11001-10000−33−33−333−33−33−3000000-222-200000000−333−300001-1-11000000
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χ9788-8-800-480000-48-84-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4-4444443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-4-44444−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-4800004-884-8-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-4000044-444-443−43−434320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4000044-444-4−434343−4320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000000000

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