Finite Group Databasebeta

← Group #11790533

Character table — Group #11790533

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order12442223344466661212121212123666666668888121212121212121212242424242424242488882424242424242424661212242424242424242424242424444488121212121212121224242424888824242424242424248888
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
χ51111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ911-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11ii−i−i11-1-111-1-11iiii−i−i−i−i11-1-11111-1-1-1-11-11-1ii−i−iiiii−i−i−i−iii−i−i1-1iiii−i−i−i−i11-1-1i−i1-1ii−i−i11-1-1i−i1-1
χ1011-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11ii−i−i11-1-111-1-11iiii−i−i−i−i11-1-11111-1-1-1-11-11-1ii−i−iiiii−i−i−i−iii−i−i1-1iiii−i−i−i−i11-1-1−ii-11−i−iii-1-111−ii-11
χ1111-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11ii−i−i11-1-111-1-11iiii−i−i−i−i-1-111-1-1-1-111111-11-1ii−i−iiiii−i−i−i−i−i−iii-11−i−i−i−iiiii-1-111i−i1-1ii−i−i11-1-1−ii-11
χ1211-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11ii−i−i11-1-111-1-11iiii−i−i−i−i-1-111-1-1-1-111111-11-1ii−i−iiiii−i−i−i−i−i−iii-11−i−i−i−iiiii-1-111−ii-11−i−iii-1-111i−i1-1
χ1311-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11−i−iii11-1-111-1-11−i−i−i−iiiii11-1-11111-1-1-1-11-11-1−i−iii−i−i−i−iiiii−i−iii1-1−i−i−i−iiiii11-1-1i−i-11ii−i−i-1-111i−i-11
χ1411-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11−i−iii11-1-111-1-11−i−i−i−iiiii11-1-11111-1-1-1-11-11-1−i−iii−i−i−i−iiiii−i−iii1-1−i−i−i−iiiii11-1-1−ii1-1−i−iii11-1-1−ii1-1
χ1511-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11−i−iii11-1-111-1-11−i−i−i−iiiii-1-111-1-1-1-111111-11-1−i−iii−i−i−i−iiiiiii−i−i-11iiii−i−i−i−i-1-111i−i-11ii−i−i-1-111−ii1-1
χ1611-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11−i−iii11-1-111-1-11−i−i−i−iiiii-1-111-1-1-1-111111-11-1−i−iii−i−i−i−iiiiiii−i−i-11iiii−i−i−i−i-1-111−ii1-1−i−iii11-1-1i−i-11
χ1722222222-12222-1222222-1-1-12-12-1-1-1-1-122222-12-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222-12222-1222222-1-1-12-12-1-1-1-1-122222-12-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ1922222222-12222-1222222-1-1-12-12-1-1-1-1-1-2-2-2-22-12-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100000000000000000022-2-2-1-1-1-111110000
χ2022222222-12222-1222222-1-1-12-12-1-1-1-1-1-2-2-2-22-12-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000000000000000000-2-2221111-1-1-1-10000
χ212222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ232222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-1-2-2-2-2-12-12-1-1-1-12111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-22211111111-1-1-1-10000000000000000
χ242222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-1-2-2-2-2-12-12-1-1-1-1211111111-2-2-2-211111111-1-1-1-1-2-2-2-2111111112222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ2522222-2-2222-2-222-2-222-2-222222-2-2-2-2-220000-2-222-2-222-2000000000000000000002-2-220000000000002i−2i2i−2i002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ2622222-2-2222-2-222-2-222-2-222222-2-2-2-2-220000-2-222-2-222-2000000000000000000002-2-22000000000000−2i2i−2i2i00−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ2722222-2-2-122-2-2-1211-1-11122-1-121-2-211-100001-2-1211-1-1-2−i3−i3i3i3−i3−i3i3i3000033−3−333−3−3-111-10000−i3−i3i3i3−i3−i3i3i32i−2i2i−2i00−i−iii−i−iii3−33−30000000000000000
χ2822222-2-2-122-2-2-1211-1-11122-1-121-2-211-100001-2-1211-1-1-2−i3−i3i3i3−i3−i3i3i30000−3−333−3−333-111-10000−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i00ii−i−iii−i−i−33−330000000000000000
χ2922222-2-2-122-2-2-1211-1-11122-1-121-2-211-100001-2-1211-1-1-2i3i3−i3−i3i3i3−i3−i3000033−3−333−3−3-111-10000i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i00ii−i−iii−i−i3−33−30000000000000000
χ3022222-2-2-122-2-2-1211-1-11122-1-121-2-211-100001-2-1211-1-1-2i3i3−i3−i3i3i3−i3−i30000−3−333−3−333-111-10000i3i3−i3−i3i3i3−i3−i32i−2i2i−2i00−i−iii−i−iii−33−330000000000000000
χ312222-22-222-2-2222-2-222-2-2222-2-222-2-2-222-22-22-2-2-2-2-22222-22-22-22-2000000000000-222-22-22-22-22-22-22-20000000000000000000000000000000000
χ322222-22-222-2-2222-2-222-2-2222-2-222-2-2-22-22-222-2-2-2-2-2222-22-22-22-22000000000000-222-2-22-22-22-22-22-220000000000000000000000000000000000
χ332222-22-22-1-2-222-1-2-222-2-2-1-1-1-212-1111-12-22-221-2111-1-1-12-22-22-22-20000000000001-1-11-11-11-11-11-11-110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ342222-22-22-1-2-222-1-2-222-2-2-1-1-1-212-1111-12-22-221-2111-1-1-12-22-22-22-20000000000001-1-11-11-11-11-11-11-110000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ352222-22-22-1-2-222-1-2-222-2-2-1-1-1-212-1111-1-22-2221-2111-1-1-1-22-22-22-220000000000001-1-111-11-11-11-11-11-10000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ362222-22-22-1-2-222-1-2-222-2-2-1-1-1-212-1111-1-22-2221-2111-1-1-1-22-22-22-220000000000001-1-111-11-11-11-11-11-10000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ372222-22-2-12-2-22-1211-1-11122-11-2-12-211-12-22-2-1-21-211-1-12-11-11-11-11000033−3−333−3−31-1-112-22-2-11-11-11-110000003−33−33−33−3−33−330000000000000000
χ382222-22-2-12-2-22-1211-1-11122-11-2-12-211-12-22-2-1-21-211-1-12-11-11-11-110000−3−333−3−3331-1-112-22-2-11-11-11-11000000−33−33−33−333−33−30000000000000000
χ392222-22-2-12-2-22-1211-1-11122-11-2-12-211-1-22-22-1-21-211-1-121-11-11-11-1000033−3−333−3−31-1-11-22-221-11-11-11-1000000−33−33−33−33−33−330000000000000000
χ402222-22-2-12-2-22-1211-1-11122-11-2-12-211-1-22-22-1-21-211-1-121-11-11-11-10000−3−333−3−3331-1-11-22-221-11-11-11-10000003−33−33−33−33−33−30000000000000000
χ412222-2-2222-22-222222222222-2-2-2-222220000-22-2-22222-200000000222222222222-2-2-2-20000000000000000-2-200000000-2-2-2-20000000000000000
χ422222-2-2222-22-222222222222-2-2-2-222220000-22-2-22222-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000220000000022220000000000000000
χ432222-2-22-12-22-2-12-1-1-1-1-1-122-11-21-22-1-1-10000121-2-1-1-1-1-2−i3i3i3−i3−i3i3i3−i32222-1-1-1-1-1-1-1-111110000−i3i3i3−i3−i3i3i3−i30000-2-2−i3i3i3−i3−i3i3i3−i311110000000000000000
χ442222-2-22-12-22-2-12-1-1-1-1-1-122-11-21-22-1-1-10000121-2-1-1-1-1-2−i3i3i3−i3−i3i3i3−i3-2-2-2-21111111111110000−i3i3i3−i3−i3i3i3−i3000022i3−i3−i3i3i3−i3−i3i3-1-1-1-10000000000000000
χ452222-2-22-12-22-2-12-1-1-1-1-1-122-11-21-22-1-1-10000121-2-1-1-1-1-2i3−i3−i3i3i3−i3−i3i32222-1-1-1-1-1-1-1-111110000i3−i3−i3i3i3−i3−i3i30000-2-2i3−i3−i3i3i3−i3−i3i311110000000000000000
χ462222-2-22-12-22-2-12-1-1-1-1-1-122-11-21-22-1-1-10000121-2-1-1-1-1-2i3−i3−i3i3i3−i3−i3i3-2-2-2-21111111111110000i3−i3−i3i3i3−i3−i3i3000022−i3i3i3−i3−i3i3i3−i3-1-1-1-10000000000000000
χ4722-2-222222-2-2-22222-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2-20000000000000000000022-2-20000000000002-2-220022-2-2-2-22200000000000000000000
χ4822-2-222222-2-2-22222-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2-20000000000000000000022-2-2000000000000-222-200-2-22222-2-200000000000000000000
χ4922-2-2222-12-2-2-2-12-1-11111-2-2-1-12-122-1-1-100001-21-21111-233−3−3−3−333000033−3−3−3−333-1-111000033−3−3−3−333-222-20011-1-1-1-1113−3−330000000000000000
χ5022-2-2222-12-2-2-2-12-1-11111-2-2-1-12-122-1-1-100001-21-21111-233−3−3−3−3330000−3−33333−3−3-1-111000033−3−3−3−3332-2-2200-1-11111-1-1−333−30000000000000000
χ5122-2-2222-12-2-2-2-12-1-11111-2-2-1-12-122-1-1-100001-21-21111-2−3−33333−3−3000033−3−3−3−333-1-1110000−3−33333−3−32-2-2200-1-11111-1-13−3−330000000000000000
χ5222-2-2222-12-2-2-2-12-1-11111-2-2-1-12-122-1-1-100001-21-21111-2−3−33333−3−30000−3−33333−3−3-1-1110000−3−33333−3−3-222-20011-1-1-1-111−333−30000000000000000
χ5322-2-22-2-22-1-2222-1-2-2-2-22211-12-1-21111-12i2i−2i−2i2-1-21-1-111-12i2i2i2i−2i−2i−2i−2i000000000000-11-11−i−iii−i−i−i−iiiii0000000000000000002i−2i2-2−i−iii-1-1110000
χ5422-2-22-2-22-1-2222-1-2-2-2-22211-12-1-21111-12i2i−2i−2i2-1-21-1-111-12i2i2i2i−2i−2i−2i−2i000000000000-11-11−i−iii−i−i−i−iiiii000000000000000000−2i2i-22ii−i−i11-1-10000
χ5522-2-22-2-22-1-2222-1-2-2-2-22211-12-1-21111-1−2i−2i2i2i2-1-21-1-111-1−2i−2i−2i−2i2i2i2i2i000000000000-11-11ii−i−iiiii−i−i−i−i0000000000000000002i−2i-22−i−iii11-1-10000
χ5622-2-22-2-22-1-2222-1-2-2-2-22211-12-1-21111-1−2i−2i2i2i2-1-21-1-111-1−2i−2i−2i−2i2i2i2i2i000000000000-11-11ii−i−iiiii−i−i−i−i000000000000000000−2i2i2-2ii−i−i-1-1110000
χ5722-2-22-2-2-12-222-121111-1-1-2-2-1-121-2-211-12i2i−2i−2i-121-2-1-1112−i−i−i−iiiii22-2-2-1-1-1-11111-11-112i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i2-2−i−i−i−iiiii-1-1110000000000000000
χ5822-2-22-2-2-12-222-121111-1-1-2-2-1-121-2-211-12i2i−2i−2i-121-2-1-1112−i−i−i−iiiii-2-2221111-1-1-1-1-11-112i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i-22iiii−i−i−i−i11-1-10000000000000000
χ5922-2-22-2-2-12-222-121111-1-1-2-2-1-121-2-211-1−2i−2i2i2i-121-2-1-1112iiii−i−i−i−i22-2-2-1-1-1-11111-11-11−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i2-2iiii−i−i−i−i-1-1110000000000000000
χ6022-2-22-2-2-12-222-121111-1-1-2-2-1-121-2-211-1−2i−2i2i2i-121-2-1-1112iiii−i−i−i−i-2-2221111-1-1-1-1-11-11−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i-22−i−i−i−iiiii11-1-10000000000000000
χ6122-2-2-22-22222-222-2-2-2-222-2-22-2-222-2-2-220000-222222-2-2-20000000022-2-22222-2-2-2-2-22-220000000000000000-2200000000-2-2220000000000000000
χ6222-2-2-22-22222-222-2-2-2-222-2-22-2-222-2-2-220000-222222-2-2-200000000-2-222-2-2-2-22222-22-2200000000000000002-20000000022-2-20000000000000000
χ6322-2-2-22-2-1222-2-121111-1-1-2-2-11-2-12-211-1000012-12-1-111-23−3−33−333−322-2-2-1-1-1-111111-11-100003−3−33−333−30000-223−3−33−333−311-1-10000000000000000
χ6422-2-2-22-2-1222-2-121111-1-1-2-2-11-2-12-211-1000012-12-1-111-23−3−33−333−3-2-2221111-1-1-1-11-11-100003−3−33−333−300002-2−333−33−3−33-1-1110000000000000000
χ6522-2-2-22-2-1222-2-121111-1-1-2-2-11-2-12-211-1000012-12-1-111-2−333−33−3−3322-2-2-1-1-1-111111-11-10000−333−33−3−330000-22−333−33−3−3311-1-10000000000000000
χ6622-2-2-22-2-1222-2-121111-1-1-2-2-11-2-12-211-1000012-12-1-111-2−333−33−3−33-2-2221111-1-1-1-11-11-10000−333−33−3−3300002-23−3−33−333−3-1-1110000000000000000
χ6722-2-2-2-22222-222222-2-2-2-2-2-22-2-2-2-222222i−2i−2i2i2-222-2-2-2-222i−2i2i−2i−2i2i−2i2i000000000000-2-2222i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000
χ6822-2-2-2-22222-222222-2-2-2-2-2-22-2-2-2-22222−2i2i2i−2i2-222-2-2-2-22−2i2i−2i2i2i−2i2i−2i000000000000-2-222−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000
χ6922-2-2-2-222-12-222-122-2-2-2-211-1-21-21-1-1-1-12i−2i−2i2i212-11111-12i−2i2i−2i−2i2i−2i2i00000000000011-1-1−iii−i−ii−iii−ii−i00000000000000000000003−3−33−i3i3i3−i30000
χ7022-2-2-2-222-12-222-122-2-2-2-211-1-21-21-1-1-1-12i−2i−2i2i212-11111-12i−2i2i−2i−2i2i−2i2i00000000000011-1-1−iii−i−ii−iii−ii−i0000000000000000000000−333−3i3−i3−i3i30000
χ7122-2-2-2-222-12-222-122-2-2-2-211-1-21-21-1-1-1-1−2i2i2i−2i212-11111-1−2i2i−2i2i2i−2i2i−2i00000000000011-1-1i−i−iii−ii−i−ii−ii00000000000000000000003−3−33i3−i3−i3i30000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.