Finite Group Databasebeta

← Group #11785125

Character table — Group #11785125

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order1222223344446666666666222236666666666666666612121212121212124444121212121212121266666666666612121212444444121212121212121212121212888824242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ1011111111-1-1-1-1111111111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ1111111111-1-1-1-1111111111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii
χ1211111111-1-1-1-1111111111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i
χ1311111111-1-1-1-11111111111-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ1411111111-1-1-1-11111111111-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ1511111111-1-1-1-11111111111-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ1611111111-1-1-1-11111111111-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ172222222-122222222-1-12-1222222-1-1-122222222-1-1-1-1-1-1-12222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ182222222-122222222-1-12-1222222-1-1-122222222-1-1-1-1-1-1-12222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ192222222-122222222-1-12-122-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1000000000000111111111111-1-1-1-100000000000000000022-2-2-1-1-1-111110000
χ202222222-122222222-1-12-122-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1000000000000111111111111-1-1-1-1000000000000000000-2-2221111-1-1-1-10000
χ212222222-1-2-2-2-22222-1-12-12222-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111000000000000-1-111-1-1-1-1111111110000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ222222222-1-2-2-2-22222-1-12-12222-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111000000000000-1-111-1-1-1-111111111000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ232222222-1-2-2-2-22222-1-12-122-2-222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2111100000000000011-1-11111-1-1-1-111110000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ242222222-1-2-2-2-22222-1-12-122-2-222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2111100000000000011-1-11111-1-1-1-11111000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ25222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ26222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ27222222-122222-1-1-1-122-12-1-1-2-2-2-2-12211111111-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000000000
χ28222222-122222-1-1-1-122-12-1-1-2-2-2-2-12211111111-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-2-2-2-211111111-1-1-1-1-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ29222222-12-2-2-2-2-1-1-1-122-12-1-122-2-2-122-1-1-1-11111-1-1-1-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-1-1-1-111111111-2-222-2-21111-1-1-1-111110000000000000000
χ30222222-12-2-2-2-2-1-1-1-122-12-1-122-2-2-122-1-1-1-11111-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111111122-2-2-1-1-1-11111111122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ31222222-12-2-2-2-2-1-1-1-122-12-1-1-2-222-1221111-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-2221111-1-1-1-11111-2-2-2-22211111111-1-1-1-10000000000000000
χ32222222-12-2-2-2-2-1-1-1-122-12-1-1-2-222-1221111-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-2221111-1-1-1-111112222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ332222-2-2222-22-2-2-2-2-222222200002-2-20000000022-2-2-2-2222-2-22-22-222-2-22222-2-2-2-200000000000022-2-22-2000022-2-2000000000000000000000000
χ342222-2-2222-22-2-2-2-2-222222200002-2-20000000022-2-2-2-2222-2-22-22-2-2-222-2-2-2-2222200000000000022-2-2-220000-2-222000000000000000000000000
χ352222-2-222-22-22-2-2-2-222222200002-2-20000000022-2-2-2-22-2-222-22-2222-2-22222-2-2-2-2000000000000-2-222-220000-2-222000000000000000000000000
χ362222-2-222-22-22-2-2-2-222222200002-2-20000000022-2-2-2-22-2-222-22-22-2-222-2-2-2-22222000000000000-2-2222-2000022-2-2000000000000000000000000
χ372222-2-2-122-22-2111122-12-1-10000-1-2-2−i3−i3i3i3−i3−i3i3i3-1-11111-1-1-1112-22-222-2-2-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3-1-1112-20000-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
χ382222-2-2-122-22-2111122-12-1-10000-1-2-2−i3−i3i3i3−i3−i3i3i3-1-11111-1-1-1112-22-2-2-2221111-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-1-111-22000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000
χ392222-2-2-122-22-2111122-12-1-10000-1-2-2i3i3−i3−i3i3i3−i3−i3-1-11111-1-1-1112-22-222-2-2-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3-1-1112-20000-1-111i3i3−i3−i3i3i3−i3−i30000000000000000
χ402222-2-2-122-22-2111122-12-1-10000-1-2-2i3i3−i3−i3i3i3−i3−i3-1-11111-1-1-1112-22-2-2-2221111-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-1-111-22000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
χ412222-2-2-12-22-22111122-12-1-10000-1-2-2−i3−i3i3i3i3i3−i3−i3-1-11111-111-1-1-22-2222-2-2-1-1-1-111110000−i3−i3i3i3i3i3−i3−i311-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ422222-2-2-12-22-22111122-12-1-10000-1-2-2−i3−i3i3i3i3i3−i3−i3-1-11111-111-1-1-22-22-2-2221111-1-1-1-10000−i3−i3i3i3i3i3−i3−i311-1-12-20000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
χ432222-2-2-12-22-22111122-12-1-10000-1-2-2i3i3−i3−i3−i3−i3i3i3-1-11111-111-1-1-22-2222-2-2-1-1-1-111110000i3i3−i3−i3−i3−i3i3i311-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ442222-2-2-12-22-22111122-12-1-10000-1-2-2i3i3−i3−i3−i3−i3i3i3-1-11111-111-1-1-22-22-2-2221111-1-1-1-10000i3i3−i3−i3−i3−i3i3i311-1-12-20000-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ4522-2-22-22222-2-222-2-2-2-222-2-22-22-222-22-22-22-22-2-2-222-2-222-22-222-2-20000000000002-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ4622-2-22-22222-2-222-2-2-2-222-2-2-22-2222-2-22-22-22-22-2-222-2-222-22-222-2-2000000000000-22-22-22-22-22-222-22-20000000000000000000000000000000000
χ4722-2-22-222-2-22222-2-2-2-222-2-22-2-2222-22-22-2-22-22-2-222-2-22-22-22-2-2220000000000002-2-222-22-2-22-22-22-220000000000000000000000000000000000
χ4822-2-22-222-2-22222-2-2-2-222-2-2-222-222-2-22-222-22-2-2-222-2-22-22-22-2-222000000000000-222-2-22-222-22-2-22-220000000000000000000000000000000000
χ4922-2-22-22-122-2-222-2-2112-1-2-22-22-2-1-112-22-22-22-211-1-111-12-22-2-1-111000000000000-11-11-11-11-11-11-11-1100000000000000000000003−33−33−33−30000
χ5022-2-22-22-122-2-222-2-2112-1-2-22-22-2-1-112-22-22-22-211-1-111-12-22-2-1-111000000000000-11-11-11-11-11-11-11-110000000000000000000000−33−33−33−330000
χ5122-2-22-22-122-2-222-2-2112-1-2-2-22-22-1-11-22-22-22-2211-1-111-12-22-2-1-1110000000000001-11-11-11-11-11-1-11-1100000000000000000000003−33−3−33−330000
χ5222-2-22-22-122-2-222-2-2112-1-2-2-22-22-1-11-22-22-22-2211-1-111-12-22-2-1-1110000000000001-11-11-11-11-11-1-11-110000000000000000000000−33−333−33−30000
χ5322-2-22-22-1-2-22222-2-2112-1-2-22-2-22-1-112-22-2-22-2211-1-111-1-22-2211-1-1000000000000-111-1-11-111-11-11-11-10000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ5422-2-22-22-1-2-22222-2-2112-1-2-22-2-22-1-112-22-2-22-2211-1-111-1-22-2211-1-1000000000000-111-1-11-111-11-11-11-10000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ5522-2-22-22-1-2-22222-2-2112-1-2-2-222-2-1-11-22-222-22-211-1-111-1-22-2211-1-10000000000001-1-111-11-1-11-111-11-10000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ5622-2-22-22-1-2-22222-2-2112-1-2-2-222-2-1-11-22-222-22-211-1-111-1-22-2211-1-10000000000001-1-111-11-1-11-111-11-10000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ5722-2-22-2-1222-2-2-1-111-2-2-12112-22-2-12-2-11-11-11-1111-1-111-1-11-1122-2-2000033−3−333−3−32-22-2-11-11-11-11-11-110000003−33−33−33−33−33−30000000000000000
χ5822-2-22-2-1222-2-2-1-111-2-2-12112-22-2-12-2-11-11-11-1111-1-111-1-11-1122-2-20000−3−333−3−3332-22-2-11-11-11-11-11-11000000−33−33−33−33−33−330000000000000000
χ5922-2-22-2-1222-2-2-1-111-2-2-1211-22-22-12-21-11-11-11-111-1-111-1-11-1122-2-2000033−3−333−3−3-22-221-11-11-11-1-11-110000003−33−3−33−33−33−330000000000000000
χ6022-2-22-2-1222-2-2-1-111-2-2-1211-22-22-12-21-11-11-11-111-1-111-1-11-1122-2-20000−3−333−3−333-22-221-11-11-11-1-11-11000000−33−333−33−33−33−30000000000000000
χ6122-2-22-2-12-2-222-1-111-2-2-12112-2-22-12-2-11-111-11-111-1-111-11-11-1-2-222000033−3−333−3−32-2-22-11-111-11-11-11-1000000−33−333−33−3−33−330000000000000000
χ6222-2-22-2-12-2-222-1-111-2-2-12112-2-22-12-2-11-111-11-111-1-111-11-11-1-2-2220000−3−333−3−3332-2-22-11-111-11-11-11-10000003−33−3−33−333−33−30000000000000000
χ6322-2-22-2-12-2-222-1-111-2-2-1211-222-2-12-21-11-1-11-1111-1-111-11-11-1-2-222000033−3−333−3−3-222-21-11-1-11-111-11-1000000−33−33−33−333−33−30000000000000000
χ6422-2-22-2-12-2-222-1-111-2-2-1211-222-2-12-21-11-1-11-1111-1-111-11-11-1-2-2220000−3−333−3−333-222-21-11-1-11-111-11-10000003−33−33−33−3−33−330000000000000000
χ6522-2-2-22222-2-22-2-222-2-222-2-200002-2200000000-2-2-2-22222-2-222-2-220000000000000000000000002-2-22002i−2i2i−2i00002i−2i−2i2i2i−2i−2i2i0000000000000000
χ6622-2-2-22222-2-22-2-222-2-222-2-200002-2200000000-2-2-2-22222-2-222-2-220000000000000000000000002-2-2200−2i2i−2i2i0000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ6722-2-2-2222-222-2-2-222-2-222-2-200002-2200000000-2-2-2-2222-222-2-222-2000000000000000000000000-222-2002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i0000000000000000
χ6822-2-2-2222-222-2-2-222-2-222-2-200002-2200000000-2-2-2-2222-222-2-222-2000000000000000000000000-222-200−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ6922-2-2-22-122-2-2211-1-1-2-2-12110000-1-22−i3i3i3−i3−i3i3i3−i31111-1-1-1-111-12-2-22000033−3−3−3−3330000−i3i3i3−i3−i3i3i3−i3-111-1002i−2i2i−2i3−3−33−iii−i−iii−i0000000000000000
χ7022-2-2-22-122-2-2211-1-1-2-2-12110000-1-22−i3i3i3−i3−i3i3i3−i31111-1-1-1-111-12-2-220000−3−33333−3−30000−i3i3i3−i3−i3i3i3−i3-111-100−2i2i−2i2i−333−3i−i−iii−i−ii0000000000000000
χ7122-2-2-22-122-2-2211-1-1-2-2-12110000-1-22i3−i3−i3i3i3−i3−i3i31111-1-1-1-111-12-2-22000033−3−3−3−3330000i3−i3−i3i3i3−i3−i3i3-111-100−2i2i−2i2i3−3−33i−i−iii−i−ii0000000000000000
χ7222-2-2-22-122-2-2211-1-1-2-2-12110000-1-22i3−i3−i3i3i3−i3−i3i31111-1-1-1-111-12-2-220000−3−33333−3−30000i3−i3−i3i3i3−i3−i3i3-111-1002i−2i2i−2i−333−3−iii−i−iii−i0000000000000000
χ7322-2-2-22-12-222-211-1-1-2-2-12110000-1-22−i3i3i3−i3i3−i3−i3i31111-1-1-11-1-11-222-2000033−3−3−3−3330000−i3i3i3−i3i3−i3−i3i31-1-11002i−2i−2i2i−333−3−iii−ii−i−ii0000000000000000
χ7422-2-2-22-12-222-211-1-1-2-2-12110000-1-22−i3i3i3−i3i3−i3−i3i31111-1-1-11-1-11-222-20000−3−33333−3−30000−i3i3i3−i3i3−i3−i3i31-1-1100−2i2i2i−2i3−3−33i−i−ii−iii−i0000000000000000
χ7522-2-2-22-12-222-211-1-1-2-2-12110000-1-22i3−i3−i3i3−i3i3i3−i31111-1-1-11-1-11-222-2000033−3−3−3−3330000i3−i3−i3i3−i3i3i3−i31-1-1100−2i2i2i−2i−333−3i−i−ii−iii−i0000000000000000
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χ1118-88-800-4-400004i3−4i34i3−4i3-4444-440000200000000002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88008-4000000004-4-84-880000-400000000004-4000040000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-40000−4i34i34i3−4i34-4444-4000020000000000-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-400004i3−4i3−4i34i34-4444-4000020000000000-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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