Finite Group Databasebeta

← Group #11801390

Character table — Group #11801390

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222444444444444444466666666121212122222222244444444444488888888888888881212121212121212242424243333333366666666666612121212121212121212121212121212181818181818181836363636
order12222222344446666666444412121212121212121212121244444444444436666666312121212666666612121212121212121212121212121212121212121212121212121212222222226444466666664444121212121212121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ6111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ911-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-1i−i11-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-1i−i11-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-1i−i
χ1011-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-1-1-111−i−iii-11−ii11-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-1-1-111−i−iii-11−ii11-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-1-1-111−i−iii-11−ii
χ1111-1-1-111-11ii−i−i11-1-11-1-1−ii-11ii−i−i−i−iii-1-11111-1-1ii−i−i-11−ii11-1-1-111-11ii−i−i11-1-11-1-1−ii-11ii−i−i−i−iii-1-11111-1-1ii−i−i-11−ii11-1-1-111-11ii−i−i11-1-11-1-1−ii-11ii−i−i−i−iii-1-11111-1-1ii−i−i-11−ii
χ1211-1-1-111-11ii−i−i11-1-11-1-1−ii-11ii−i−i−i−iii-1-111-1-111−i−iii1-1i−i11-1-1-111-11ii−i−i11-1-11-1-1−ii-11ii−i−i−i−iii-1-111-1-111−i−iii1-1i−i11-1-1-111-11ii−i−i11-1-11-1-1−ii-11ii−i−i−i−iii-1-111-1-111−i−iii1-1i−i
χ1311-1-1-111-11−i−iii11-1-11-1-1i−i-11−i−iiiii−i−i-1-11111-1-1−i−iii-11i−i11-1-1-111-11−i−iii11-1-11-1-1i−i-11−i−iiiii−i−i-1-11111-1-1−i−iii-11i−i11-1-1-111-11−i−iii11-1-11-1-1i−i-11−i−iiiii−i−i-1-11111-1-1−i−iii-11i−i
χ1411-1-1-111-11−i−iii11-1-11-1-1i−i-11−i−iiiii−i−i-1-111-1-111ii−i−i1-1−ii11-1-1-111-11−i−iii11-1-11-1-1i−i-11−i−iiiii−i−i-1-111-1-111ii−i−i1-1−ii11-1-1-111-11−i−iii11-1-11-1-1i−i-11−i−iiiii−i−i-1-111-1-111ii−i−i1-1−ii
χ1511-1-1-111-11−i−iii11-1-11-1-1−ii1-1−i−iii−i−iii11-1-111-1-1−i−iii1-1−ii11-1-1-111-11−i−iii11-1-11-1-1−ii1-1−i−iii−i−iii11-1-111-1-1−i−iii1-1−ii11-1-1-111-11−i−iii11-1-11-1-1−ii1-1−i−iii−i−iii11-1-111-1-1−i−iii1-1−ii
χ1611-1-1-111-11−i−iii11-1-11-1-1−ii1-1−i−iii−i−iii11-1-1-1-111ii−i−i-11i−i11-1-1-111-11−i−iii11-1-11-1-1−ii1-1−i−iii−i−iii11-1-1-1-111ii−i−i-11i−i11-1-1-111-11−i−iii11-1-11-1-1−ii1-1−i−iii−i−iii11-1-1-1-111ii−i−i-11i−i
χ1722222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ1922222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-11111000000000000
χ2022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000
χ212222-2-2-2-222-22-22-22-2-22-200002-22-2000000000000000000002222-2-2-2-222-22-22-22-2-22-200002-22-2000000000000000000002222-2-2-2-222-22-22-22-2-22-200002-22-200000000000000000000
χ222222-2-2-2-22-22-222-22-2-22-20000-22-22000000000000000000002222-2-2-2-22-22-222-22-2-22-20000-22-22000000000000000000002222-2-2-2-22-22-222-22-2-22-20000-22-2200000000000000000000
χ232222-2-2-2-2-12-22-2-11-111-110000-11-113−33−33−33−30000000000002222-2-2-2-2-12-22-2-11-111-110000-11-113−33−33−33−30000000000002222-2-2-2-2-12-22-2-11-111-110000-11-113−33−33−33−3000000000000
χ242222-2-2-2-2-12-22-2-11-111-110000-11-11−33−33−33−330000000000002222-2-2-2-2-12-22-2-11-111-110000-11-11−33−33−33−330000000000002222-2-2-2-2-12-22-2-11-111-110000-11-11−33−33−33−33000000000000
χ252222-2-2-2-2-1-22-22-11-111-1100001-11-13−33−3−33−330000000000002222-2-2-2-2-1-22-22-11-111-1100001-11-13−33−3−33−330000000000002222-2-2-2-2-1-22-22-11-111-1100001-11-13−33−3−33−33000000000000
χ262222-2-2-2-2-1-22-22-11-111-1100001-11-1−33−333−33−30000000000002222-2-2-2-2-1-22-22-11-111-1100001-11-1−33−333−33−30000000000002222-2-2-2-2-1-22-22-11-111-1100001-11-1−33−333−33−3000000000000
χ2722-2-22-2-2222i−2i−2i2i2-2-22-2-2200002i−2i−2i2i0000000000000000000022-2-22-2-2222i−2i−2i2i2-2-22-2-2200002i−2i−2i2i0000000000000000000022-2-22-2-2222i−2i−2i2i2-2-22-2-2200002i−2i−2i2i00000000000000000000
χ2822-2-22-2-222−2i2i2i−2i2-2-22-2-220000−2i2i2i−2i0000000000000000000022-2-22-2-222−2i2i2i−2i2-2-22-2-220000−2i2i2i−2i0000000000000000000022-2-22-2-222−2i2i2i−2i2-2-22-2-220000−2i2i2i−2i00000000000000000000
χ2922-2-22-2-22-12i−2i−2i2i-111-111-10000−iii−i−i3i3i3−i3−333−300000000000022-2-22-2-22-12i−2i−2i2i-111-111-10000−iii−i−i3i3i3−i3−333−300000000000022-2-22-2-22-12i−2i−2i2i-111-111-10000−iii−i−i3i3i3−i3−333−3000000000000
χ3022-2-22-2-22-12i−2i−2i2i-111-111-10000−iii−ii3−i3−i3i33−3−3300000000000022-2-22-2-22-12i−2i−2i2i-111-111-10000−iii−ii3−i3−i3i33−3−3300000000000022-2-22-2-22-12i−2i−2i2i-111-111-10000−iii−ii3−i3−i3i33−3−33000000000000
χ3122-2-22-2-22-1−2i2i2i−2i-111-111-10000i−i−ii−i3i3i3−i33−3−3300000000000022-2-22-2-22-1−2i2i2i−2i-111-111-10000i−i−ii−i3i3i3−i33−3−3300000000000022-2-22-2-22-1−2i2i2i−2i-111-111-10000i−i−ii−i3i3i3−i33−3−33000000000000
χ3222-2-22-2-22-1−2i2i2i−2i-111-111-10000i−i−iii3−i3−i3i3−333−300000000000022-2-22-2-22-1−2i2i2i−2i-111-111-10000i−i−iii3−i3−i3i3−333−300000000000022-2-22-2-22-1−2i2i2i−2i-111-111-10000i−i−iii3−i3−i3i3−333−3000000000000
χ3322-2-2-222-2-12i2i−2i−2i-1-111-1112i−2i2-2−i−iii−i−iii-1-11100000000000022-2-2-222-2-12i2i−2i−2i-1-111-1112i−2i2-2−i−iii−i−iii-1-11100000000000022-2-2-222-2-12i2i−2i−2i-1-111-1112i−2i2-2−i−iii−i−iii-1-111000000000000
χ3422-2-2-222-2-12i2i−2i−2i-1-111-111−2i2i-22−i−iiiii−i−i11-1-100000000000022-2-2-222-2-12i2i−2i−2i-1-111-111−2i2i-22−i−iiiii−i−i11-1-100000000000022-2-2-222-2-12i2i−2i−2i-1-111-111−2i2i-22−i−iiiii−i−i11-1-1000000000000
χ3522-2-2-222-2-1−2i−2i2i2i-1-111-1112i−2i-22ii−i−i−i−iii11-1-100000000000022-2-2-222-2-1−2i−2i2i2i-1-111-1112i−2i-22ii−i−i−i−iii11-1-100000000000022-2-2-222-2-1−2i−2i2i2i-1-111-1112i−2i-22ii−i−i−i−iii11-1-1000000000000
χ3622-2-2-222-2-1−2i−2i2i2i-1-111-111−2i2i2-2ii−i−iii−i−i-1-11100000000000022-2-2-222-2-1−2i−2i2i2i-1-111-111−2i2i2-2ii−i−iii−i−i-1-11100000000000022-2-2-222-2-1−2i−2i2i2i-1-111-111−2i2i2-2ii−i−iii−i−i-1-111000000000000
χ372-22-22-22-220000-2-22-22-22000000000000000000002i−2i2i−2i00002-22-22-22-220000-2-22-22-22000000000000000000002i−2i2i−2i00002-22-22-22-220000-2-22-22-22000000000000000000002i−2i2i−2i0000
χ382-22-22-22-220000-2-22-22-2200000000000000000000−2i2i−2i2i00002-22-22-22-220000-2-22-22-2200000000000000000000−2i2i−2i2i00002-22-22-22-220000-2-22-22-2200000000000000000000−2i2i−2i2i0000
χ392-22-2-22-2220000-2222-2-2-200000000000000002i−2i2i−2i000000002-22-2-22-2220000-2222-2-2-200000000000000002i−2i2i−2i000000002-22-2-22-2220000-2222-2-2-200000000000000002i−2i2i−2i00000000
χ402-22-2-22-2220000-2222-2-2-20000000000000000−2i2i−2i2i000000002-22-2-22-2220000-2222-2-2-20000000000000000−2i2i−2i2i000000002-22-2-22-2220000-2222-2-2-20000000000000000−2i2i−2i2i00000000
χ412-2-2222-2-220000-22-2-2-22200000000000000002i−2i−2i2i000000002-2-2222-2-220000-22-2-2-22200000000000000002i−2i−2i2i000000002-2-2222-2-220000-22-2-2-22200000000000000002i−2i−2i2i00000000
χ422-2-2222-2-220000-22-2-2-2220000000000000000−2i2i2i−2i000000002-2-2222-2-220000-22-2-2-2220000000000000000−2i2i2i−2i000000002-2-2222-2-220000-22-2-2-2220000000000000000−2i2i2i−2i00000000
χ432-2-22-2-22220000-2-2-2222-2000000000000000000002-2-2200002-2-22-2-22220000-2-2-2222-2000000000000000000002-2-2200002-2-22-2-22220000-2-2-2222-2000000000000000000002-2-220000
χ442-2-22-2-22220000-2-2-2222-200000000000000000000-222-200002-2-22-2-22220000-2-2-2222-200000000000000000000-222-200002-2-22-2-22220000-2-2-2222-200000000000000000000-222-20000
χ454-44-44-44-4-2000022-22-22-200000000000000000000000000004-44-44-44-4-2000022-22-22-200000000000000000000000000004-44-44-44-4-2000022-22-22-20000000000000000000000000000
χ464-44-4-44-44-200002-2-2-222200000000000000000000000000004-44-4-44-44-200002-2-2-222200000000000000000000000000004-44-4-44-44-200002-2-2-22220000000000000000000000000000
χ474-4-4444-4-4-200002-2222-2-200000000000000000000000000004-4-4444-4-4-200002-2222-2-200000000000000000000000000004-4-4444-4-4-200002-2222-2-20000000000000000000000000000
χ484-4-44-4-444-20000222-2-2-2200000000000000000000000000004-4-44-4-444-20000222-2-2-2200000000000000000000000000004-4-44-4-444-20000222-2-2-220000000000000000000000000000
χ49111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1
χ53111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1
χ54111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111
χ55111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ56111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ5711-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-1i−i11-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-1i−i-1-1111-1-11-1−i−iii-1-111-111−ii-11−i−iii−i−iii-1-111-1-111−i−iii-11−ii
χ5811-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-1-1-111−i−iii-11−ii11-1-1-111-11ii−i−i11-1-11-1-1i−i1-1ii−i−iii−i−i11-1-1-1-111−i−iii-11−ii-1-1111-1-11-1−i−iii-1-111-111−ii-11−i−iii−i−iii-1-11111-1-1ii−i−i1-1i−i
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χ13044-4-4-444-4-24i4i−4i−4i-2-222-222−4i4i-44−2i−2i2i2i2i2i−2i−2i22-2-2000000000000-2-2222-2-221−2i−2i2i2i11-1-11-1-12i−2i2-2ii−i−i−i−iii-1-111000000000000000000000000000000000000000000000000000000000000
χ13144-4-4-444-4-2−4i−4i4i4i-2-222-2224i−4i-442i2i−2i−2i−2i−2i2i2i22-2-2000000000000-2-2222-2-2212i2i−2i−2i11-1-11-1-1−2i2i2-2−i−iiiii−i−i-1-111000000000000000000000000000000000000000000000000000000000000
χ13244-4-4-444-4-2−4i−4i4i4i-2-222-222−4i4i4-42i2i−2i−2i2i2i−2i−2i-2-222000000000000-2-2222-2-2212i2i−2i−2i11-1-11-1-12i−2i-22−i−iii−i−iii11-1-1000000000000000000000000000000000000000000000000000000000000
χ1334-44-44-44-440000-4-44-44-44000000000000000000004i−4i4i−4i0000-22-22-22-22-2000022-22-22-200000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ1344-44-44-44-440000-4-44-44-4400000000000000000000−4i4i−4i4i0000-22-22-22-22-2000022-22-22-2000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ1354-44-4-44-4440000-4444-4-4-400000000000000004i−4i4i−4i00000000-22-222-22-2-200002-2-2-22220000000000000000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1364-44-4-44-4440000-4444-4-4-40000000000000000−4i4i−4i4i00000000-22-222-22-2-200002-2-2-222200000000000000002i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ1374-4-4444-4-440000-44-4-4-44400000000000000004i−4i−4i4i00000000-222-2-2-222-200002-2222-2-20000000000000000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ1384-4-4444-4-440000-44-4-4-4440000000000000000−4i4i4i−4i00000000-222-2-2-222-200002-2222-2-200000000000000002i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1394-4-44-4-44440000-4-4-4444-4000000000000000000004-4-440000-222-222-2-2-20000222-2-2-2200000000000000000000-222-20000000000000000000000000000000000000000000000000000
χ1404-4-44-4-44440000-4-4-4444-400000000000000000000-444-40000-222-222-2-2-20000222-2-2-22000000000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1418-88-88-88-8-4000044-44-44-40000000000000000000000000000-44-44-44-4420000-2-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-400004-4-4-44440000000000000000000000000000-44-444-44-420000-2222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8888-8-8-400004-4444-4-40000000000000000000000000000-444-4-4-44420000-22-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-8-888-40000444-4-4-440000000000000000000000000000-444-444-4-420000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000000000000000

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