Finite Group Databasebeta

← Group #11786838

Character table — Group #11786838

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order12222222334444666666666666663444466666661212121212121212121212121212121244441212121212121212121212121212121212121212121212122222446666666688881212121224242424242424244412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-11-1-11111-11-111-1-1-111-1-111-1-1-11ii−i−i11-1-1-11-1111-1-1-1-1iiii−i−i−i−i1ii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i11-1-1i−i1111-1-1-1-111-1-1ii−i−i1111-1-1-1-1i−iii−i−iii−i−i1-1
χ1011-1-11-1-11111-11-111-1-1-111-1-111-1-1-11ii−i−i11-1-1-11-1111-1-1-1-1iiii−i−i−i−i1ii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i11-1-1i−i1111-1-1-1-1-1-111ii−i−i-1-1-1-11111−ii−i−iii−i−iii-11
χ1111-1-11-1-11111-11-111-1-1-111-1-111-1-1-11ii−i−i11-1-1-11-1111-1-1-1-1iiii−i−i−i−i1−i−iii−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i-1-111−ii-1-1-1-1111111-1-1−i−iii1111-1-1-1-1i−iii−i−i−i−iii-11
χ1211-1-11-1-11111-11-111-1-1-111-1-111-1-1-11ii−i−i11-1-1-11-1111-1-1-1-1iiii−i−i−i−i1−i−iii−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i-1-111−ii-1-1-1-11111-1-111−i−iii-1-1-1-11111−ii−i−iiiii−i−i1-1
χ1311-1-11-1-11111-11-111-1-1-111-1-111-1-1-11−i−iii11-1-1-11-1111-1-1-1-1−i−i−i−iiiii1ii−i−iiiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii-1-111i−i-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1−ii−i−iiiii−i−i-11
χ1411-1-11-1-11111-11-111-1-1-111-1-111-1-1-11−i−iii11-1-1-11-1111-1-1-1-1−i−i−i−iiiii1ii−i−iiiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii-1-111i−i-1-1-1-11111-1-111ii−i−i-1-1-1-11111i−iii−i−i−i−iii1-1
χ1511-1-11-1-11111-11-111-1-1-111-1-111-1-1-11−i−iii11-1-1-11-1111-1-1-1-1−i−i−i−iiiii1−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii11-1-1−ii1111-1-1-1-111-1-1−i−iii1111-1-1-1-1−ii−i−iii−i−iii1-1
χ1611-1-11-1-11111-11-111-1-1-111-1-111-1-1-11−i−iii11-1-1-11-1111-1-1-1-1−i−i−i−iiiii1−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii11-1-1−ii1111-1-1-1-1-1-111−i−iii-1-1-1-11111i−iii−i−iii−i−i-11
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-200000000-22222222222220000-2-2-2-2000000000000-2-2000000000000-2-2-2-200000000000000000000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000000022000000000000222200000000000000000000
χ19222222222-1222222222-1-1-1-12-1-1-12-12222-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-10000-1-1-1-100000000000000000000
χ20222222222-1222222222-1-1-1-12-1-1-12-12222-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-12-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111110000111100000000000000000000
χ21222222222-1222222222-1-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-1-11111111122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-222111111110000-1-1-1-100000000000000000000
χ22222222222-1222222222-1-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-1-1111111112-2-2-2-211111111-2-2-2-2-1-1-1-1111111112222-2-2-1-1-1-1-1-1-1-10000111100000000000000000000
χ23222222222-1-2-2-2-222222-1-1-1-12-1-1-12-10000-1-1-1-1-1-1-1-211-2-211−i3−i3i3i3−i3−i3i3i3-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i30000-2-2−i3−i3i3i3−i3−i3i3i30000111100000000000000000000
χ24222222222-1-2-2-2-222222-1-1-1-12-1-1-12-10000-1-1-1-1-1-1-1-211-2-211−i3−i3i3i3−i3−i3i3i3-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i3000022i3i3−i3−i3i3i3−i3−i30000-1-1-1-100000000000000000000
χ25222222222-1-2-2-2-222222-1-1-1-12-1-1-12-10000-1-1-1-1-1-1-1-211-2-211i3i3−i3−i3i3i3−i3−i3-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i30000-2-2i3i3−i3−i3i3i3−i3−i30000111100000000000000000000
χ26222222222-1-2-2-2-222222-1-1-1-12-1-1-12-10000-1-1-1-1-1-1-1-211-2-211i3i3−i3−i3i3i3−i3−i3-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i3000022−i3−i3i3i3−i3−i3i3i30000-1-1-1-100000000000000000000
χ2722222222-122222-1-1-1-1-12222-1222-1-12222-1-1-1-1-1-1-1-122-1-12222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1-1-12222-1222-1-12222-1-1-1-1-1-1-1-122-1-12222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-2000011111111-2-21111000000
χ2922222222-122222-1-1-1-1-12222-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-2-10000000000001111-1-1-1-1111111110000000000000022220000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1-1-12222-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-2-10000000000001111-1-1-1-11111111100000000000000-2-2-2-200001111111122-1-1-1-1000000
χ3122-2-22-2-2222-22-2222-2-2-222-2-222-2-2-22000022-2-2-22-2-2-2-2222200000000-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000-2-222000000000000−2i2i000000000000−2i−2i2i2i00000000000000000000
χ3222-2-22-2-2222-22-2222-2-2-222-2-222-2-2-22000022-2-2-22-2-2-2-2222200000000-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000-2-2220000000000002i−2i0000000000002i2i−2i−2i00000000000000000000
χ3322-2-22-2-222-12-22-222-2-2-2-1-1112-111-2-12i2i−2i−2i-1-1111-112-1-1-2-211−i−i−i−iiiii22i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i-1-111−i−i−i−iiiii22-2-22i−2i-1-1-1-111110000−i−iii00000000000000000000
χ3422-2-22-2-222-12-22-222-2-2-2-1-1112-111-2-12i2i−2i−2i-1-1111-112-1-1-2-211−i−i−i−iiiii2−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i-1-111−i−i−i−iiiii-2-222−2i2i1111-1-1-1-10000ii−i−i00000000000000000000
χ3522-2-22-2-222-12-22-222-2-2-2-1-1112-111-2-1−2i−2i2i2i-1-1111-112-1-1-2-211iiii−i−i−i−i22i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i-1-111iiii−i−i−i−i-2-2222i−2i1111-1-1-1-10000−i−iii00000000000000000000
χ3622-2-22-2-222-12-22-222-2-2-2-1-1112-111-2-1−2i−2i2i2i-1-1111-112-1-1-2-211iiii−i−i−i−i2−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i-1-111iiii−i−i−i−i22-2-2−2i2i-1-1-1-111110000ii−i−i00000000000000000000
χ3722-2-22-2-222-1-22-2222-2-2-2-1-1112-111-2-10000-1-1111-11-21122-1-133−3−3−3−333-22i2i−2i−2i−i−i−i−iiiii000011-1-133−3−3−3−3330000−2i2i−i3−i3i3i3i3i3−i3−i30000ii−i−i00000000000000000000
χ3822-2-22-2-222-1-22-2222-2-2-2-1-1112-111-2-10000-1-1111-11-21122-1-133−3−3−3−333-2−2i−2i2i2iiiii−i−i−i−i000011-1-133−3−3−3−33300002i−2ii3i3−i3−i3−i3−i3i3i30000−i−iii00000000000000000000
χ3922-2-22-2-222-1-22-2222-2-2-2-1-1112-111-2-10000-1-1111-11-21122-1-1−3−33333−3−3-22i2i−2i−2i−i−i−i−iiiii000011-1-1−3−33333−3−30000−2i2ii3i3−i3−i3−i3−i3i3i30000ii−i−i00000000000000000000
χ4022-2-22-2-222-1-22-2222-2-2-2-1-1112-111-2-10000-1-1111-11-21122-1-1−3−33333−3−3-2−2i−2i2i2iiiii−i−i−i−i000011-1-1−3−33333−3−300002i−2i−i3−i3i3i3i3i3−i3−i30000−i−iii00000000000000000000
χ4122-2-22-2-22-122-22-2-1-111122-2-2-12-2-21-12i2i−2i−2i-1-1111-11-12211-2-22i2i2i2i−2i−2i−2i−2i-1000000000000−i−iii-1-111−i−i−i−iiiii0000000000000022-2-20000-1-1-1-111112i−2i−i−iii000000
χ4222-2-22-2-22-122-22-2-1-111122-2-2-12-2-21-12i2i−2i−2i-1-1111-11-12211-2-22i2i2i2i−2i−2i−2i−2i-1000000000000−i−iii-1-111−i−i−i−iiiii00000000000000-2-22200001111-1-1-1-1−2i2iii−i−i000000
χ4322-2-22-2-22-122-22-2-1-111122-2-2-12-2-21-1−2i−2i2i2i-1-1111-11-12211-2-2−2i−2i−2i−2i2i2i2i2i-1000000000000ii−i−i-1-111iiii−i−i−i−i0000000000000022-2-20000-1-1-1-11111−2i2iii−i−i000000
χ4422-2-22-2-22-122-22-2-1-111122-2-2-12-2-21-1−2i−2i2i2i-1-1111-11-12211-2-2−2i−2i−2i−2i2i2i2i2i-1000000000000ii−i−i-1-111iiii−i−i−i−i00000000000000-2-22200001111-1-1-1-12i−2i−i−iii000000
χ452-2222-2-2-22222-2-2-2-222-2-2-22222-2-2-220000-2-222-22-222-22-22-200000000-200000000000000002-22-2000000002-22-2002-22-22-22-20000000000000000000000000000
χ462-2222-2-2-22222-2-2-2-222-2-2-22222-2-2-220000-2-222-22-222-22-22-200000000-200000000000000002-22-200000000-22-2200-22-22-22-220000000000000000000000000000
χ472-2222-2-2-222-2-222-2-222-2-2-22222-2-2-222i−2i2i−2i-2-222-22-2-2-22-22-222i−2i2i−2i2i−2i2i−2i20000000000002i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ482-2222-2-2-222-2-222-2-222-2-2-22222-2-2-22−2i2i−2i2i-2-222-22-2-2-22-22-22−2i2i−2i2i−2i2i−2i2i2000000000000−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ492-2222-2-2-22-122-2-2-2-222-211-1-12-111-2-1000011-1-11-112-112-2-113−3−333−3−33-2000033−3−333−3−30000-11-113−3−333−3−332-22-200-11-11-11-1100003−33−300000000000000000000
χ502-2222-2-2-22-122-2-2-2-222-211-1-12-111-2-1000011-1-11-112-112-2-113−3−333−3−33-20000−3−333−3−3330000-11-113−3−333−3−33-22-22001-11-11-11-10000−33−3300000000000000000000
χ512-2222-2-2-22-122-2-2-2-222-211-1-12-111-2-1000011-1-11-112-112-2-11−333−3−333−3-2000033−3−333−3−30000-11-11−333−3−333−3-22-22001-11-11-11-100003−33−300000000000000000000
χ522-2222-2-2-22-122-2-2-2-222-211-1-12-111-2-1000011-1-11-112-112-2-11−333−3−333−3-20000−3−333−3−3330000-11-11−333−3−333−32-22-200-11-11-11-110000−33−3300000000000000000000
χ532-2222-2-2-22-1-2-222-2-222-211-1-12-111-2-12i−2i2i−2i11-1-11-11-21-1-221-1−ii−ii−ii−ii2000033−3−333−3−32i−2i2i−2i1-11-1−ii−ii−ii−ii000000−i3i3i3−i3−i3i3i3−i30000−33−3300000000000000000000
χ542-2222-2-2-22-1-2-222-2-222-211-1-12-111-2-12i−2i2i−2i11-1-11-11-21-1-221-1−ii−ii−ii−ii20000−3−333−3−3332i−2i2i−2i1-11-1−ii−ii−ii−ii000000i3−i3−i3i3i3−i3−i3i300003−33−300000000000000000000
χ552-2222-2-2-22-1-2-222-2-222-211-1-12-111-2-1−2i2i−2i2i11-1-11-11-21-1-221-1i−ii−ii−ii−i2000033−3−333−3−3−2i2i−2i2i1-11-1i−ii−ii−ii−i000000i3−i3−i3i3i3−i3−i3i30000−33−3300000000000000000000
χ562-2222-2-2-22-1-2-222-2-222-211-1-12-111-2-1−2i2i−2i2i11-1-11-11-21-1-221-1i−ii−ii−ii−i20000−3−333−3−333−2i2i−2i2i1-11-1i−ii−ii−ii−i000000−i3i3i3−i3−i3i3i3−i300003−33−300000000000000000000
χ572-2222-2-2-2-12-2-22211-1-11-2-222-12-2-21-12i−2i2i−2i11-1-11-111-221-1-222i−2i2i−2i2i−2i2i−2i-1000000000000−ii−ii1-11-1−ii−ii−ii−ii0000000000000000000000−i3−i3i3i3−i3−i3i3i3003−33−3000000
χ582-2222-2-2-2-12-2-22211-1-11-2-222-12-2-21-12i−2i2i−2i11-1-11-111-221-1-222i−2i2i−2i2i−2i2i−2i-1000000000000−ii−ii1-11-1−ii−ii−ii−ii0000000000000000000000i3i3−i3−i3i3i3−i3−i300−33−33000000
χ592-2222-2-2-2-12-2-22211-1-11-2-222-12-2-21-1−2i2i−2i2i11-1-11-111-221-1-22−2i2i−2i2i−2i2i−2i2i-1000000000000i−ii−i1-11-1i−ii−ii−ii−i0000000000000000000000−i3−i3i3i3−i3−i3i3i300−33−33000000
χ602-2222-2-2-2-12-2-22211-1-11-2-222-12-2-21-1−2i2i−2i2i11-1-11-111-221-1-22−2i2i−2i2i−2i2i−2i2i-1000000000000i−ii−i1-11-1i−ii−ii−ii−i0000000000000000000000i3i3−i3−i3i3i3−i3−i3003−33−3000000
χ612-22-2-22-222200002-22-222-22-2-2-22-2-2200002-22-22-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000002−22−200002−22−22−22−2000000−i2i2−i2i200
χ622-22-2-22-222200002-22-222-22-2-2-22-2-2200002-22-22-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000−22−220000−22−22−22−22000000i2−i2i2−i200
χ632-22-2-22-222200002-22-222-22-2-2-22-2-2200002-22-22-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000002−22−200002−22−22−22−2000000i2−i2i2−i200
χ642-22-2-22-222200002-22-222-22-2-2-22-2-2200002-22-22-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000−22−220000−22−22−22−22000000−i2i2−i2i200
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χ662-2-22-2-2222200002-2-22-22-2-22-2-2-222200002-2-22-2-2200000000000000002-2-222-22-2-22-22000000000000000000000000000000−222−20000−22−222−22−20000002−2−2200
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Here i is the imaginary unit (i² = −1).