Finite Group Databasebeta

← Group #11784622

Character table — Group #11784622

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222222222336666666666366666666666666666444444666612121212121212121212121212121212224444121212121212121244446612121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1
χ9111111-1-1-1-1111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-11111-1-1-1-1i−ii−i11ii−i−i-1-1ii−i−i-1-111i−i
χ10111111-1-1-1-1111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1-1111111-1-1-1-1i−i−ii-1-1ii−i−i11−i−iii11-1-1−ii
χ11111111-1-1-1-1111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-11111-1-1-1-1−ii−ii11−i−iii-1-1−i−iii-1-111−ii
χ12111111-1-1-1-1111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-1-1-1-1111111-1-1-1-1−iii−i-1-1−i−iii11ii−i−i11-1-1i−i
χ13111111-1-1-1-1111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i1111-1-1-1-1-1-11111−iii−i11−i−iii-1-1ii−i−i11-1-1−ii
χ14111111-1-1-1-1111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-11111-1-1-1-11111−ii−ii-1-1−i−iii11−i−iii-1-111i−i
χ15111111-1-1-1-1111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii1111-1-1-1-1-1-11111i−i−ii11ii−i−i-1-1−i−iii11-1-1i−i
χ16111111-1-1-1-1111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-1-11111-1-1-1-11111i−ii−i-1-1ii−i−i11ii−i−i-1-111−ii
χ1722222222222-122-1-12222-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220022000000000022-1-10000-1-1-1-1-1-1000000
χ1822222222222-122-1-12222-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000-2-2110000111111000000
χ1922222222222-122-1-12222-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-2-2-2-21111111111112200220000000000-2-2-1-10000-1-11111000000
χ2022222222222-122-1-12222-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-2-2-2-2111111111111-2-200-2-200000000002211000011-1-1-1-1000000
χ212222222222-12-1-122-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-12-1-12222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1002200-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ222222222222-12-1-122-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-12-1-122222-2-2-1-1-1-11111-2-21111-2-21111002200-1-1-1-1-1-1-1-1-2-200001111000000000000
χ232222222222-12-1-122-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-20011111111-2-200001111000000000000
χ242222222222-12-1-122-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-2-2-2-2-1-1-1-11111-2-21111-2-2111100-2-20011111111220000-1-1-1-1000000000000
χ25222222-2-2-2-22-122-1-1-2-2-2-2-12-122-2-2-1-111-1-1-111111100002i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii2200-2-200000000002i−2i-1-1000011−i−iii000000
χ26222222-2-2-2-22-122-1-1-2-2-2-2-12-122-2-2-1-111-1-1-111111100002i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii-2-200220000000000−2i2i110000-1-1ii−i−i000000
χ27222222-2-2-2-22-122-1-1-2-2-2-2-12-122-2-2-1-111-1-1-11111110000−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i2200-2-20000000000−2i2i-1-1000011ii−i−i000000
χ28222222-2-2-2-22-122-1-1-2-2-2-2-12-122-2-2-1-111-1-1-11111110000−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i-2-2002200000000002i−2i110000-1-1−i−iii000000
χ29222222-2-2-2-2-12-1-12211112-1-1-1-11122-2-2-1-1-111-211-222222i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii00-2-200-1-1-1-111112i−2i0000−i−iii000000000000
χ30222222-2-2-2-2-12-1-12211112-1-1-1-11122-2-2-1-1-111-211-22222−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i00-2-200-1-1-1-11111−2i2i0000ii−i−i000000000000
χ31222222-2-2-2-2-12-1-12211112-1-1-1-11122-2-2-1-1-111-211-2-2-2-2-22i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii0022001111-1-1-1-1−2i2i0000ii−i−i000000000000
χ32222222-2-2-2-2-12-1-12211112-1-1-1-11122-2-2-1-1-111-211-2-2-2-2-2−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i0022001111-1-1-1-12i−2i0000−i−iii000000000000
χ332222-2-222-2-22222222222222-2-2-2-2-2-22-222222222-222-2-200-2-2-2-20000000000000000002-20022-2-222-2-20000000000000000000000
χ342222-2-222-2-22222222222222-2-2-2-2-2-22-222222222-2-2-22200-2-2-2-2000000000000000000-2200-2-222-2-2220000000000000000000000
χ352222-2-222-2-2-12-1-122-1-1-1-12-1-11111-2-22-2-1-1-1-1-12-1-1-222-2-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3002-200-1-111-1-111000000−i3i3−i3i3000000000000
χ362222-2-222-2-2-12-1-122-1-1-1-12-1-11111-2-22-2-1-1-1-1-12-1-1-222-2-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3002-200-1-111-1-111000000i3−i3i3−i3000000000000
χ372222-2-222-2-2-12-1-122-1-1-1-12-1-11111-2-22-2-1-1-1-1-12-1-1-2-2-222001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300-220011-1-111-1-1000000i3−i3i3−i3000000000000
χ382222-2-222-2-2-12-1-122-1-1-1-12-1-11111-2-22-2-1-1-1-1-12-1-1-2-2-222001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300-220011-1-111-1-1000000−i3i3−i3i3000000000000
χ392222-2-2-2-222222222-2-2-2-2222-2-222-2-2-22222-2-2-2-2-2222-2-200-2-222000000000000000000-220022-2-2-2-2220000000000000000000000
χ402222-2-2-2-222222222-2-2-2-2222-2-222-2-2-22222-2-2-2-2-22-2-22200-2-2220000000000000000002-200-2-22222-2-20000000000000000000000
χ412222-2-2-2-222-12-1-12211112-1-111-1-1-2-2-22-1-1-111-211222-2-20011-1-13−3−330033−3−300−3−33300-2200-1-11111-1-10000003−3−33000000000000
χ422222-2-2-2-222-12-1-12211112-1-111-1-1-2-2-22-1-1-111-211222-2-20011-1-1−333−300−3−3330033−3−300-2200-1-11111-1-1000000−333−3000000000000
χ432222-2-2-2-222-12-1-12211112-1-111-1-1-2-2-22-1-1-111-2112-2-2220011-1-13−3−330033−3−300−3−333002-20011-1-1-1-111000000−333−3000000000000
χ442222-2-2-2-222-12-1-12211112-1-111-1-1-2-2-22-1-1-111-2112-2-2220011-1-1−333−300−3−3330033−3−3002-20011-1-1-1-1110000003−3−33000000000000
χ452-2-222-22-22-222-2-2-2-222-2-22222-22-22-2-2-22-2-2-2-222220000002-22-200000000000000002-2002-20000000000002-200002-20000000000
χ462-2-222-22-22-222-2-2-2-222-2-22222-22-22-2-2-22-2-2-2-222220000002-22-20000000000000000-2200-22000000000000-220000-220000000000
χ472-2-222-22-22-22-1-2-21122-2-2-12-12-22-2-1111-11111-1-1-1-1000000-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2002-2000000000000-110000-11−i3i3−i3i3000000
χ482-2-222-22-22-22-1-2-21122-2-2-12-12-22-2-1111-11111-1-1-1-1000000-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-2200-220000000000001-100001-1i3−i3i3−i3000000
χ492-2-222-22-22-22-1-2-21122-2-2-12-12-22-2-1111-11111-1-1-1-1000000-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2002-2000000000000-110000-11i3−i3i3−i3000000
χ502-2-222-22-22-22-1-2-21122-2-2-12-12-22-2-1111-11111-1-1-1-1000000-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-2200-220000000000001-100001-1−i3i3−i3i3000000
χ512-2-222-2-22-2222-2-2-2-2-2-2222222-2-222-2222-2-222-2-2-2-20000002-2-2200000000000000002-200-220000000000002-20000-220000000000
χ522-2-222-2-22-2222-2-2-2-2-2-2222222-2-222-2222-2-222-2-2-2-20000002-2-220000000000000000-22002-2000000000000-2200002-20000000000
χ532-2-222-2-22-222-1-2-211-2-222-12-12-2-22-11-1-1-111-1-11111000000-111-100003−33−33−3−33−33−332-200-22000000000000-1100001-13−3−33000000
χ542-2-222-2-22-222-1-2-211-2-222-12-12-2-22-11-1-1-111-1-11111000000-111-100003−33−33−3−33−33−33-22002-20000000000001-10000-11−333−3000000
χ552-2-222-2-22-222-1-2-211-2-222-12-12-2-22-11-1-1-111-1-11111000000-111-10000−33−33−333−33−33−32-200-22000000000000-1100001-1−333−3000000
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χ954-4-44-44-444-4-2-2222222-2-2-2-212-2-222-2-221-1-1112-1-1-2000000-111-10000003i−3i−3i3i00−3i3i3i−3i000000000000000000000000000000000000
χ964-4-44-44-444-4-2-2222222-2-2-2-212-2-222-2-221-1-1112-1-1-2000000-111-1000000−3i3i3i−3i003i−3i−3i3i000000000000000000000000000000000000
χ9788-8-80000008-48-8-4400004-8-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8000000-4-4-44-44−4i34i3−4i34i344200000000-22-22i3−2i302i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8000000-4-4-44-444i3−4i34i3−4i344200000000-22-2−2i32i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1008-88-80000008-4-884-400004-8-40000000044-400000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8000000-4-44-44-4−4i34i34i3−4i344200000000-2-22−2i32i302i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8000000-4-44-44-44i3−4i3−4i34i344200000000-2-222i3−2i30−2i32i3000000000000000000000000000000000000000000000000000000000000000

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