Finite Group Databasebeta

← Group #11785122

Character table — Group #11785122

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212444466881212242424242424242424242424242424242222441212121212121212666688882424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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−i11-1-1-1-11111-1-1-1-111-1-1i−ii−iii−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-1-111-1-11111-1-1-1-1-1-111i−i−iiii−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−iiiiiii11-1-1-1-11111-1-1-1-111-1-1−ii−ii−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-1-111-1-11111-1-1-1-1-1-111−iii−i−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−i11-1-111-1-1-1-1111111-1-1−iii−i−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−i-1-11111-1-1-1-11111-1-111−ii−ii−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−iiiiiii11-1-111-1-1-1-1111111-1-1i−i−iiii−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−iiiiiii-1-11111-1-1-1-11111-1-111i−ii−iii−i−iii−i−i11-1-1−ii
χ172222222-12222-1-12-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000-1-1-1-100220000-1-1-1-1000000
χ182222222-12222-1-12-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000111100-2-200001111000000
χ192222222-12222-1-12-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-1-1-1-100-2-200001111000000
χ202222222-12222-1-12-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-20000000000111100220000-1-1-1-1000000
χ212222222-1-2-2-2-2-1-12-122-2-2-2-2-122-1-1-1-1-1-2-2111111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii22-2-20000000000-1-111002i−2i0000−i−iii000000
χ222222222-1-2-2-2-2-1-12-122-2-2-2-2-122-1-1-1-1-1-2-2111111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii-2-222000000000011-1-100−2i2i0000ii−i−i000000
χ232222222-1-2-2-2-2-1-12-122-2-2-2-2-122-1-1-1-1-1-2-2111111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i22-2-20000000000-1-11100−2i2i0000ii−i−i000000
χ242222222-1-2-2-2-2-1-12-122-2-2-2-2-122-1-1-1-1-1-2-2111111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i-2-222000000000011-1-1002i−2i0000−i−iii000000
χ25222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-12-1-122222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-100002200-1-1-1-10000000000
χ26222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-12-1-122222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-10000-2-20011110000000000
χ27222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-12-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2111111110000-2-20011110000000000
χ28222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-12-1-12-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-21111111100002200-1-1-1-10000000000
χ29222222-12-2-2-2-222-12-1-11111-1-1-122-1-1-111-2-211-211-22222-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0000-2-2-1-1-1-1111100002i−2i00−i−iii0000000000
χ30222222-12-2-2-2-222-12-1-11111-1-1-122-1-1-111-2-211-211-22222-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000-2-2-1-1-1-111110000−2i2i00ii−i−i0000000000
χ31222222-12-2-2-2-222-12-1-11111-1-1-122-1-1-111-2-211-211-2-2-2-2-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0000221111-1-1-1-10000−2i2i00ii−i−i0000000000
χ32222222-12-2-2-2-222-12-1-11111-1-1-122-1-1-111-2-211-211-2-2-2-2-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000221111-1-1-1-100002i−2i00−i−iii0000000000
χ332222-2-2222-22-222222222222-2-2-2-2222-2-22-222222-222-2-2-2-200-2-2000000000000000000002-222-2-222-2-20000000000000000000000
χ342222-2-2222-22-222222222222-2-2-2-2222-2-22-222222-2-2-222-2-200-2-200000000000000000000-22-2-222-2-2220000000000000000000000
χ352222-2-222-22-22222222-2-2-2-22-2-2-2-222222-22-2-2-2-2-2222-2-2-2-2002200000000000000000000-2222-2-2-2-2220000000000000000000000
χ362222-2-222-22-22222222-2-2-2-22-2-2-2-222222-22-2-2-2-2-22-2-222-2-20022000000000000000000002-2-2-22222-2-20000000000000000000000
χ372222-2-2-122-22-222-12-1-1-1-1-1-1-111-2-2-1-1-1112-2-1-12-1-1-222-2-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300002-2-1-111-1-11100000000−i3i3−i3i30000000000
χ382222-2-2-122-22-222-12-1-1-1-1-1-1-111-2-2-1-1-1112-2-1-12-1-1-222-2-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300002-2-1-111-1-11100000000i3−i3i3−i30000000000
χ392222-2-2-122-22-222-12-1-1-1-1-1-1-111-2-2-1-1-1112-2-1-12-1-1-2-2-222110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i30000-2211-1-111-1-100000000i3−i3i3−i30000000000
χ402222-2-2-122-22-222-12-1-1-1-1-1-1-111-2-2-1-1-1112-2-1-12-1-1-2-2-222110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i30000-2211-1-111-1-100000000−i3i3−i3i30000000000
χ412222-2-2-12-22-2222-12-1-11111-111-2-2-1-1-1-1-1-2211-211222-2-21100-1-13−3−330033−3−300−3−3330000-22-1-11111-1-1000000003−3−330000000000
χ422222-2-2-12-22-2222-12-1-11111-111-2-2-1-1-1-1-1-2211-211222-2-21100-1-1−333−300−3−3330033−3−30000-22-1-11111-1-100000000−333−30000000000
χ432222-2-2-12-22-2222-12-1-11111-111-2-2-1-1-1-1-1-2211-2112-2-2221100-1-13−3−330033−3−300−3−33300002-211-1-1-1-11100000000−333−30000000000
χ442222-2-2-12-22-2222-12-1-11111-111-2-2-1-1-1-1-1-2211-2112-2-2221100-1-1−333−300−3−3330033−3−300002-211-1-1-1-111000000003−3−330000000000
χ4522-2-22-22222-2-2-2-222-2-222-2-222-22-2-2-222-22222-2-2-2-200002-2002-200000000000000002-22-200000000002-22-2000000000000000000
χ4622-2-22-22222-2-2-2-222-2-222-2-222-22-2-2-222-22222-2-2-2-200002-2002-20000000000000000-22-220000000000-22-22000000000000000000
χ4722-2-22-222-2-222-2-222-2-2-2-22222-22-2-2-22-22-2-2-2-2222200002-200-2200000000000000002-2-2200000000002-2-22000000000000000000
χ4822-2-22-222-2-222-2-222-2-2-2-22222-22-2-2-22-22-2-2-2-2222200002-200-220000000000000000-222-20000000000-222-2000000000000000000
χ4922-2-22-22-122-2-2112-1-2-222-2-2-12-2-1111-12-2-1-1-1-111110000-1100-1100003−33−33−33−33−33−32-22-20000000000-11-11000000003−33−3000000
χ5022-2-22-22-122-2-2112-1-2-222-2-2-12-2-1111-12-2-1-1-1-111110000-1100-1100003−33−33−33−33−33−3-22-2200000000001-11-100000000−33−33000000
χ5122-2-22-22-122-2-2112-1-2-222-2-2-12-2-1111-12-2-1-1-1-111110000-1100-110000−33−33−33−33−33−332-22-20000000000-11-1100000000−33−33000000
χ5222-2-22-22-122-2-2112-1-2-222-2-2-12-2-1111-12-2-1-1-1-111110000-1100-110000−33−33−33−33−33−33-22-2200000000001-11-1000000003−33−3000000
χ5322-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-221111-1-1-1-10000-11001-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i32-2-220000000000-111-100000000−i3i3i3−i3000000
χ5422-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-221111-1-1-1-10000-11001-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3-222-200000000001-1-1100000000i3−i3−i3i3000000
χ5522-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-221111-1-1-1-10000-11001-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i32-2-220000000000-111-100000000i3−i3−i3i3000000
χ5622-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-221111-1-1-1-10000-11001-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3-222-200000000001-1-1100000000−i3i3i3−i3000000
χ5722-2-2-22222-2-22-2-222-2-222-2-22-22-22-2-22-222-222-2-2-220000-2200-2200000000000000000000000000000000000000000000002i−2i2i−2i00
χ5822-2-2-22222-2-22-2-222-2-222-2-22-22-22-2-22-222-222-2-2-220000-2200-220000000000000000000000000000000000000000000000−2i2i−2i2i00
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χ6022-2-2-2222-222-2-2-222-2-2-2-2222-22-22-2-222-2-22-2-2222-20000-22002-20000000000000000000000000000000000000000000000−2i2i2i−2i00
χ61444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-20000114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-2000011-4-411222222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-120000114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-12000011−4i4i-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii000000000000000000000000000000000000
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χ684444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222211122-2211-21120000-1-100-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i3000000000000000000000000000000000000
χ694444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-2-22-2-1-12-1-1-20000-1-1001123−23−232300−3−3330033−3−3000000000000000000000000000000000000
χ704444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-2-22-2-1-12-1-1-20000-1-10011−232323−230033−3−300−3−333000000000000000000000000000000000000
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χ978-88-8008-40000-44-848-80000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-4444-4443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-4444-44−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400004-4-84-880000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-4444-443−43−434320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-4444-4−434343−4320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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