Finite Group Databasebeta

← Group #11785121

Character table — Group #11785121

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212124444668812122424242424242424242424242424242444444412121212121212128888121212122424242424242424222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ911111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111-1-11111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1i−i
χ1011111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1-1111111-1-1-1-1i−i−ii-1-111ii−i−i−i−iii-1-111−ii
χ1111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-1-111-1-11111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii11-1-1−ii
χ1211111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-1-1-1-1111111-1-1-1-1−iii−i-1-111−i−iiiii−i−i-1-111i−i
χ1311111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i1111-1-1-1-1-1-11111−iii−i11-1-1−i−iiiii−i−i-1-111−ii
χ1411111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1-1-11111−ii−ii-1-111−i−iii−i−iii11-1-1i−i
χ1511111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii1111-1-1-1-1-1-11111i−i−ii11-1-1ii−i−i−i−iii-1-111i−i
χ1611111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1-1-11111i−ii−i-1-111ii−i−iii−i−i11-1-1−ii
χ172222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-122222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-122000000-1-1-1-10000000000
χ182222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-122222-1-1-2-2-1-11111-2-21111-2-21111220000-1-1-1-1-1-1-1-1-2-200000011110000000000
χ192222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2000011111111-2-200000011110000000000
χ202222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-2-2-2-2-1-1-2-2-1-11111-2-21111-2-21111-2-200001111111122000000-1-1-1-10000000000
χ212222222-1-2-2-2-222-1-1-121111-122-1-1-1-1-1-2-21111-211-22222-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii-2-20000-1-1-1-111112i−2i000000−i−iii0000000000
χ222222222-1-2-2-2-222-1-1-121111-122-1-1-1-1-1-2-21111-211-22222-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i-2-20000-1-1-1-11111−2i2i000000ii−i−i0000000000
χ232222222-1-2-2-2-222-1-1-121111-122-1-1-1-1-1-2-21111-211-2-2-2-2-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii2200001111-1-1-1-1−2i2i000000ii−i−i0000000000
χ242222222-1-2-2-2-222-1-1-121111-122-1-1-1-1-1-2-21111-211-2-2-2-2-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i2200001111-1-1-1-12i−2i000000−i−iii0000000000
χ25222222-122222-1-1222-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222000000000022-1-1-1-10000-1-1-1-1000000
χ26222222-122222-1-1222-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2111100001111000000
χ27222222-122222-1-1222-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-21111111111110022220000000000-2-2-1-1-1-100001111000000
χ28222222-122222-1-1222-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-211111111111100-2-2-2-200000000002211110000-1-1-1-1000000
χ29222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-122-1-1-111-2-21111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii0022-2-200000000002i−2i-1-1110000−i−iii000000
χ30222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-122-1-1-111-2-21111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii00-2-2220000000000−2i2i11-1-10000ii−i−i000000
χ31222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-122-1-1-111-2-21111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i0022-2-20000000000−2i2i-1-1110000ii−i−i000000
χ32222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-122-1-1-111-2-21111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i00-2-22200000000002i−2i11-1-10000−i−iii000000
χ332222-2-2222-22-222222222222-2-2-2-22222-2-2-222222-222-2-2-2-200-2-200000000000000002-2000022-2-222-2-20000000000000000000000
χ342222-2-2222-22-222222222222-2-2-2-22222-2-2-222222-2-2-222-2-200-2-20000000000000000-220000-2-222-2-2220000000000000000000000
χ352222-2-222-22-22222222-2-2-2-22-2-2-2-2222-2222-2-2-2-2-2222-2-2-2-200220000000000000000-22000022-2-2-2-2220000000000000000000000
χ362222-2-222-22-22222222-2-2-2-22-2-2-2-2222-2222-2-2-2-2-22-2-222-2-2002200000000000000002-20000-2-22222-2-20000000000000000000000
χ372222-2-22-12-22-222-1-1-12-1-1-1-1-1-2-211-1-1-12-211-1-12-1-1-222-2-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i32-20000-1-111-1-11100000000−i3i3−i3i30000000000
χ382222-2-22-12-22-222-1-1-12-1-1-1-1-1-2-211-1-1-12-211-1-12-1-1-222-2-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i32-20000-1-111-1-11100000000i3−i3i3−i30000000000
χ392222-2-22-12-22-222-1-1-12-1-1-1-1-1-2-211-1-1-12-211-1-12-1-1-2-2-222110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-22000011-1-111-1-100000000i3−i3i3−i30000000000
χ402222-2-22-12-22-222-1-1-12-1-1-1-1-1-2-211-1-1-12-211-1-12-1-1-2-2-222110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-22000011-1-111-1-100000000−i3i3−i3i30000000000
χ412222-2-22-1-22-2222-1-1-121111-1-2-211-1-1-1-22-1-111-211222-2-21100-1-13−3−330033−3−300−3−333-220000-1-11111-1-1000000003−3−330000000000
χ422222-2-22-1-22-2222-1-1-121111-1-2-211-1-1-1-22-1-111-211222-2-21100-1-1−333−300−3−3330033−3−3-220000-1-11111-1-100000000−333−30000000000
χ432222-2-22-1-22-2222-1-1-121111-1-2-211-1-1-1-22-1-111-2112-2-2221100-1-13−3−330033−3−300−3−3332-2000011-1-1-1-11100000000−333−30000000000
χ442222-2-22-1-22-2222-1-1-121111-1-2-211-1-1-1-22-1-111-2112-2-2221100-1-1−333−300−3−3330033−3−32-2000011-1-1-1-111000000003−3−330000000000
χ4522-2-22-22222-2-2-222-2-2-222-2-222-22-2-2-22222-222-2-2-2-200002-2002-200000000000000000000000000000000000000000000002-22-200
χ4622-2-22-22222-2-2-222-2-2-222-2-222-22-2-2-22222-222-2-2-2-200002-2002-20000000000000000000000000000000000000000000000-22-2200
χ4722-2-22-222-2-222-222-2-2-2-2-22222-22-2-2-22-2-2-22-2-2222200002-200-2200000000000000000000000000000000000000000000002-2-2200
χ4822-2-22-222-2-222-222-2-2-2-2-22222-22-2-2-22-2-2-22-2-2222200002-200-220000000000000000000000000000000000000000000000-222-200
χ4922-2-2-22222-2-22-222-2-2-222-2-22-22-22-2-222-2-2222-2-2-220000-2200-220000000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ5022-2-2-22222-2-22-222-2-2-222-2-22-22-22-2-222-2-2222-2-2-220000-2200-22000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ5122-2-2-2222-222-2-222-2-2-2-2-2222-22-22-2-22-222-2-2-2222-20000-22002-20000000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000000000
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χ5322-2-2-22-122-2-221-12-2-2122-2-2-11-1-2211-1-11-22-1-1111-100001-1001-100003−33−33−33−33−33−3002i−2i2i−2i000000000000−ii−ii0000−i3i3−i3i3000000
χ5422-2-2-22-122-2-221-12-2-2122-2-2-11-1-2211-1-11-22-1-1111-100001-1001-100003−33−33−33−33−33−300−2i2i−2i2i000000000000i−ii−i0000i3−i3i3−i3000000
χ5522-2-2-22-122-2-221-12-2-2122-2-2-11-1-2211-1-11-22-1-1111-100001-1001-10000−33−33−33−33−33−33002i−2i2i−2i000000000000−ii−ii0000i3−i3i3−i3000000
χ5622-2-2-22-122-2-221-12-2-2122-2-2-11-1-2211-1-11-22-1-1111-100001-1001-10000−33−33−33−33−33−3300−2i2i−2i2i000000000000i−ii−i0000−i3i3−i3i3000000
χ5722-2-2-22-12-222-21-12-2-21-2-222-11-1-2211-11-12-211-1-1-1100001-100-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3002i−2i−2i2i000000000000−iii−i0000−333−3000000
χ5822-2-2-22-12-222-21-12-2-21-2-222-11-1-2211-11-12-211-1-1-1100001-100-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i300−2i2i2i−2i000000000000i−i−ii00003−3−33000000
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χ954-4-44004-20000-4-422-24−232323−23-200002-220000−2323023−2304-4000000000000000000000000000000-2200−2323000000000000000000000000
χ964-4-44004-20000-4-422-24−232323−23-200002-220000−2323023−230-440000000000000000000000000000002-20023−23000000000000000000000000
χ978-88-800-480000-44-88-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-444-44443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-444-444−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-48000044-8-88-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004444-4-443−43−434320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004444-4-4−434343−4320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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