Finite Group Databasebeta

← Group #11817812

Character table — Group #11817812

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212124444444444442444661212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1
χ811111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11111-1-1-1-1-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1111111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-111-1-1-1-1111111-1-1-1-111-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-11111-1-111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-11-11111-1-1-1-1-1-11111-1-1-1-11111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-1-111-1-11111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-111-1-1-1-1-11111-1-11111-1-111-1-1-1-1
χ17222222222-12222222-1-122-1-1-1-1-122-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220000002200-1-1-1-1-1-1-1-100000000000000
χ18222222222-12222222-1-122-1-1-1-1-122-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000-2-2001111111100000000000000
χ19222222222-12222222-1-122-1-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111220022000000-2-20011-1-111-1-100000000000000
χ20222222222-12222222-1-122-1-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-200-2-20000002200-1-111-1-11100000000000000
χ21222222222-1-2-2-2-2222-1-122-1-1-1-1-122-122-2-2-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-1111111112200-2-2000000-220011-1-1-1-11100000000000000
χ22222222222-1-2-2-2-2222-1-122-1-1-1-1-122-122-2-2-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-200220000002-200-1-11111-1-100000000000000
χ23222222222-1-2-2-2-2222-1-122-1-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-1111122221111111111111111-1-1-1-1-1-1-1-12200-2-20000002-200-1-1-1-1111100000000000000
χ24222222222-1-2-2-2-2222-1-122-1-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-1111122221111111111111111-1-1-1-1-1-1-1-1-2-20022000000-22001111-1-1-1-100000000000000
χ2522222222-122222-1-1-122-1-122222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000002200000000-1-1-1-1-1-1-1-1000000
χ2622222222-122222-1-1-122-1-122222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000-2-20000000011111111000000
χ2722222222-122222-1-1-122-1-122222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-222221111-1-1-1-1-1-1-1-1111111111111111100220022000000-2-200000000-1-111-1-111000000
χ2822222222-122222-1-1-122-1-122222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-222221111-1-1-1-1-1-1-1-1111111111111111100-2-200-2-2000000220000000011-1-111-1-1000000
χ2922222222-12-2-2-2-2-1-1-122-1-122222-1-1-122-2-2-1-1-1-1-1-1-11111-1-1-1-12222-2-2-2-2-2-2-2-2111111111111-1-1-1-1-1-1-1-111111111002200-2-20000002-200000000-1-1-1-11111000000
χ3022222222-12-2-2-2-2-1-1-122-1-122222-1-1-122-2-2-1-1-1-1-1-1-11111-1-1-1-12222-2-2-2-2-2-2-2-2111111111111-1-1-1-1-1-1-1-11111111100-2-20022000000-22000000001111-1-1-1-1000000
χ3122222222-12-2-2-2-2-1-1-122-1-122222-1-1-1-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-2-2-2-2-1-1-1-11111111111111111-1-1-1-1-1-1-1-1002200-2-2000000-2200000000-1-11111-1-1000000
χ3222222222-12-2-2-2-2-1-1-122-1-122222-1-1-1-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-2-2-2-2-1-1-1-11111111111111111-1-1-1-1-1-1-1-100-2-200220000002-20000000011-1-1-1-111000000
χ33222-2-2-2-22222i2i−2i−2i22-22-2-2-22-22-2-2-222000022-2-22-2-22i2i−2i−2i0000000000002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000000000002-2002i−2i0000000000002-2002i−2i00000000000000
χ34222-2-2-2-22222i2i−2i−2i22-22-2-2-22-22-2-2-222000022-2-22-2-22i2i−2i−2i0000000000002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i0000000000000000-2200−2i2i000000000000-2200−2i2i00000000000000
χ35222-2-2-2-2222−2i−2i2i2i22-22-2-2-22-22-2-2-222000022-2-22-2-2−2i−2i2i2i000000000000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000000000002-200−2i2i0000000000002-200−2i2i00000000000000
χ36222-2-2-2-2222−2i−2i2i2i22-22-2-2-22-22-2-2-222000022-2-22-2-2−2i−2i2i2i000000000000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i0000000000000000-22002i−2i000000000000-22002i−2i00000000000000
χ37222-2-2-2-222-12i2i−2i−2i22-2-11-2-2-11-111-22-10000-1-111-1112i2i−2i−2i000033−3−3−i3−i3i3i3−i−iii0000−i−i−i−iiiii3333−3−3−3−3−i3−i3−i3−i3i3i3i3i32-2002i−2i0000000000−i3i3-113−3−ii00000000000000
χ38222-2-2-2-222-12i2i−2i−2i22-2-11-2-2-11-111-22-10000-1-111-1112i2i−2i−2i000033−3−3−i3−i3i3i3−i−iii0000−i−i−i−iiiii3333−3−3−3−3−i3−i3−i3−i3i3i3i3i3-2200−2i2i0000000000i3−i31-1−33i−i00000000000000
χ39222-2-2-2-222-12i2i−2i−2i22-2-11-2-2-11-111-22-10000-1-111-1112i2i−2i−2i0000−3−333i3i3−i3−i3−i−iii0000−i−i−i−iiiii−3−3−3−33333i3i3i3i3−i3−i3−i3−i32-2002i−2i0000000000i3−i3-11−33−ii00000000000000
χ40222-2-2-2-222-12i2i−2i−2i22-2-11-2-2-11-111-22-10000-1-111-1112i2i−2i−2i0000−3−333i3i3−i3−i3−i−iii0000−i−i−i−iiiii−3−3−3−33333i3i3i3i3−i3−i3−i3−i3-2200−2i2i0000000000−i3i31-13−3i−i00000000000000
χ41222-2-2-2-222-1−2i−2i2i2i22-2-11-2-2-11-111-22-10000-1-111-111−2i−2i2i2i000033−3−3i3i3−i3−i3ii−i−i0000iiii−i−i−i−i3333−3−3−3−3i3i3i3i3−i3−i3−i3−i32-200−2i2i0000000000i3−i3-113−3i−i00000000000000
χ42222-2-2-2-222-1−2i−2i2i2i22-2-11-2-2-11-111-22-10000-1-111-111−2i−2i2i2i000033−3−3i3i3−i3−i3ii−i−i0000iiii−i−i−i−i3333−3−3−3−3i3i3i3i3−i3−i3−i3−i3-22002i−2i0000000000−i3i31-1−33−ii00000000000000
χ43222-2-2-2-222-1−2i−2i2i2i22-2-11-2-2-11-111-22-10000-1-111-111−2i−2i2i2i0000−3−333−i3−i3i3i3ii−i−i0000iiii−i−i−i−i−3−3−3−33333−i3−i3−i3−i3i3i3i3i32-200−2i2i0000000000−i3i3-11−33i−i00000000000000
χ44222-2-2-2-222-1−2i−2i2i2i22-2-11-2-2-11-111-22-10000-1-111-111−2i−2i2i2i0000−3−333−i3−i3i3i3ii−i−i0000iiii−i−i−i−i−3−3−3−33333−i3−i3−i3−i3i3i3i3i3-22002i−2i0000000000i3−i31-13−3−ii00000000000000
χ4522-2-22-22-22200002-2-2222-2-2-2-2-222-22002i−2i2-22-2-22-20000000000002i−2i2i−2i00002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i000000000000000000002-20000
χ4622-2-22-22-22200002-2-2222-2-2-2-2-222-22002i−2i2-22-2-22-20000000000002i−2i2i−2i00002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i00000000000000000000-220000
χ4722-2-22-22-22200002-2-2222-2-2-2-2-222-2200−2i2i2-22-2-22-2000000000000−2i2i−2i2i0000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i00000000000000000000-220000
χ4822-2-22-22-22200002-2-2222-2-2-2-2-222-2200−2i2i2-22-2-22-2000000000000−2i2i−2i2i0000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i000000000000000000002-20000
χ492-222-2-22-2222-22-2-222-2-22-2-2-2222-2-220000-22-22-22-22-22-20000000000002-22-2000022-2-222-2-20000000000000000000000002i−2i2i−2i0000000000000000000000002i−2i
χ502-222-2-22-2222-22-2-222-2-22-2-2-2222-2-220000-22-22-22-22-22-20000000000002-22-2000022-2-222-2-2000000000000000000000000−2i2i−2i2i000000000000000000000000−2i2i
χ512-222-2-22-222-22-22-222-2-22-2-2-2222-2-220000-22-22-22-2-22-22000000000000-22-220000-2-222-2-2220000000000000000000000002i−2i2i−2i000000000000000000000000−2i2i
χ522-222-2-22-222-22-22-222-2-22-2-2-2222-2-220000-22-22-22-2-22-22000000000000-22-220000-2-222-2-222000000000000000000000000−2i2i−2i2i0000000000000000000000002i−2i
χ532-22-222-2-2222i−2i−2i2i-22-2-22-22-222-2-22-220000-222-2-2-222i−2i−2i2i0000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000002-2002i−2i00000000000000002-2002i−2i00000000
χ542-22-222-2-2222i−2i−2i2i-22-2-22-22-222-2-22-220000-222-2-2-222i−2i−2i2i0000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000-2200−2i2i0000000000000000-2200−2i2i00000000
χ552-22-222-2-222−2i2i2i−2i-22-2-22-22-222-2-22-220000-222-2-2-22−2i2i2i−2i000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000002-200−2i2i00000000000000002-200−2i2i00000000
χ562-22-222-2-222−2i2i2i−2i-22-2-22-22-222-2-22-220000-222-2-2-22−2i2i2i−2i000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000-22002i−2i0000000000000000-22002i−2i00000000
χ572-22-222-2-2-122i−2i−2i2i1-11-221-1-222-2-2-11-100001-1-1111-1−iii−i−i3−i3i3i3000000002i−2i−2i2i3−33−3−i−iiiii−i−i−i3−i3i3i3−i3−i3i3i33−33−33−33−3002-2002i−2i0000000000000000-11−i3i3−ii3−3000000
χ582-22-222-2-2-122i−2i−2i2i1-11-221-1-222-2-2-11-100001-1-1111-1−iii−i−i3−i3i3i3000000002i−2i−2i2i3−33−3−i−iiiii−i−i−i3−i3i3i3−i3−i3i3i33−33−33−33−300-2200−2i2i00000000000000001-1i3−i3i−i−33000000
χ592-22-222-2-2-122i−2i−2i2i1-11-221-1-222-2-2-11-100001-1-1111-1−iii−ii3i3−i3−i3000000002i−2i−2i2i−33−33−i−iiiii−i−ii3i3−i3−i3i3i3−i3−i3−33−33−33−33002-2002i−2i0000000000000000-11i3−i3−ii−33000000
χ602-22-222-2-2-122i−2i−2i2i1-11-221-1-222-2-2-11-100001-1-1111-1−iii−ii3i3−i3−i3000000002i−2i−2i2i−33−33−i−iiiii−i−ii3i3−i3−i3i3i3−i3−i3−33−33−33−3300-2200−2i2i00000000000000001-1−i3i3i−i3−3000000
χ612-22-222-2-2-12−2i2i2i−2i1-11-221-1-222-2-2-11-100001-1-1111-1i−i−ii−i3−i3i3i300000000−2i2i2i−2i−33−33ii−i−i−i−iii−i3−i3i3i3−i3−i3i3i3−33−33−33−33002-200−2i2i0000000000000000-11−i3i3i−i−33000000
χ622-22-222-2-2-12−2i2i2i−2i1-11-221-1-222-2-2-11-100001-1-1111-1i−i−ii−i3−i3i3i300000000−2i2i2i−2i−33−33ii−i−i−i−iii−i3−i3i3i3−i3−i3i3i3−33−33−33−3300-22002i−2i00000000000000001-1i3−i3−ii3−3000000
χ632-22-222-2-2-12−2i2i2i−2i1-11-221-1-222-2-2-11-100001-1-1111-1i−i−iii3i3−i3−i300000000−2i2i2i−2i3−33−3ii−i−i−i−iiii3i3−i3−i3i3i3−i3−i33−33−33−33−3002-200−2i2i0000000000000000-11i3−i3i−i3−3000000
χ642-22-222-2-2-12−2i2i2i−2i1-11-221-1-222-2-2-11-100001-1-1111-1i−i−iii3i3−i3−i300000000−2i2i2i−2i3−33−3ii−i−i−i−iiii3i3−i3−i3i3i3−i3−i33−33−33−33−300-22002i−2i00000000000000001-1−i3i3−ii−33000000
χ652-2-2-2-2222220000-2-2-2-2-22222-2-22-2222-200-2-2-2-222200002-22-22-22-2000000000000000000002-22-22-22-200000000000000002-2-2200000000000000000000002-200
χ662-2-2-2-2222220000-2-2-2-2-22222-2-22-2222-200-2-2-2-222200002-22-22-22-2000000000000000000002-22-22-22-20000000000000000-222-20000000000000000000000-2200
χ672-2-2-2-2222220000-2-2-2-2-22222-2-22-222-2200-2-2-2-22220000-22-22-22-2200000000000000000000-22-22-22-2200000000000000002-2-220000000000000000000000-2200
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χ1224-4-4-4-4444-240000222-4-4-2-244-4-442-2-2-44002222-2-2-200002-22-2-44-44000000000000000000002-22-22-22-20000000000000000000000000000000000000000000000
χ1234-4-4-4-4444-2-2000022222-2-2-2-222-22-214-400-1-1-1-11110000-22-22-22-220000000000003-3-33-333-31-11-11-11-1-333-33-3-3300000000000000000000000000000000000000
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χ1254-4-4-4-4444-2-2000022222-2-2-2-222-22-21-4400-1-1-1-111100002-22-22-22-20000000000003-3-33-333-3-11-11-11-113-3-33-333-300000000000000000000000000000000000000
χ1264-4-4-4-4444-2-2000022222-2-2-2-222-22-21-4400-1-1-1-111100002-22-22-22-2000000000000-333-33-3-33-11-11-11-11-333-33-3-3300000000000000000000000000000000000000

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