Finite Group Databasebeta

← Group #11790138

Character table — Group #11790138

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212444444448888888844121212121212121212121212121212121212121212121212121212122424242424242424888888884444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ911-1-11-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-1-11ii−i−iii−i−i1111-1-1-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−ii−i1-111-1-1ii−i−i1-1
χ1011-1-11-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-1-11ii−i−iii−i−i1111-1-1-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiiiii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i−ii-11-1-111−i−iii-11
χ1111-1-11-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-1-11ii−i−iii−i−i-1-1-1-11111i−iii−i−iii−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−ii1-111-1-1−i−iii-11
χ1211-1-11-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-1-11ii−i−iii−i−i-1-1-1-11111−ii−i−iii−i−iii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiiii−i-11-1-111ii−i−i1-1
χ1311-1-11-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-1-11−i−iii−i−iii1111-1-1-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiiii−i-11-1-111ii−i−i-11
χ1411-1-11-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-1-11−i−iii−i−iii1111-1-1-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−ii1-111-1-1−i−iii1-1
χ1511-1-11-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-1-11−i−iii−i−iii-1-1-1-11111i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i−ii-11-1-111−i−iii1-1
χ1611-1-11-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-1-11−i−iii−i−iii-1-1-1-11111−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−i−iii−i−iii-1-1-1-11111iiii−i−i−i−ii−i1-111-1-1ii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-200000000-2-2-2-22222000000000000000000000000000000
χ19222222222-1222222-1222-1-12-1-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12222222220000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000
χ20222222222-1222222-1222-1-12-1-1-1-12-1-1-1-1-1-1-1-12-1-122-1-122222222200000000-2-21111-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000-2-21111000000
χ21222222222-1222222-1222-1-12-1-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-2-2-20000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000-2-21111000000
χ22222222222-1222222-1222-1-12-1-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-2-2-200000000-2-21111-2-2-2-2-1-1-1-1111111111111111100000000000000000022-1-1-1-1000000
χ23222222222-1-2-2-2-222-1222-1-12-1-1-1-12-1-1-1-1-1-1-1-1-211-2-211-22222-2-2-2-20000000000−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i3-1-1-1-1111100000000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-222-1222-1-12-1-1-1-12-1-1-1-1-1-1-1-1-211-2-211-22222-2-2-2-20000000000i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i3-1-1-1-1111100000000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-222-1222-1-12-1-1-1-12-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-222220000000000−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i31111-1-1-1-100000000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-222-1222-1-12-1-1-1-12-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-222220000000000i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i31111-1-1-1-100000000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-12-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-122-10000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000022000000-1-1-1-100
χ2822222222-122222-1-12-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-122-10000000022222222-2-2-2-2-2-21111-1-1-1-11111111100000000-1-1-1-1-1-1-1-100000000-2-2000000111100
χ2922222222-122222-1-12-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-122-100000000-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000-2-2000000111100
χ3022222222-122222-1-12-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-122-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-1-1-1-11111111100000000111111110000000022000000-1-1-1-100
χ31222-2-22-2-22200002-2222-22-2-2-22-2-2-222-222-2-2-2000000002-22-2000022−2−222−2−200000000000000000000002-22-2000022−2−222−2−222−2−222−2−200000000000000
χ32222-2-22-2-22200002-2222-22-2-2-22-2-2-222-222-2-2-2000000002-22-20000−2−222−2−22200000000000000000000002-22-20000−2−222−2−222−2−222−2−22200000000000000
χ33222-2-22-2-22200002-2222-22-2-2-22-2-2-222-222-2-2-200000000-22-22000022−2−222−2−20000000000000000000000-22-22000022−2−222−2−2−2−222−2−22200000000000000
χ34222-2-22-2-22200002-2222-22-2-2-22-2-2-222-222-2-2-200000000-22-220000−2−222−2−2220000000000000000000000-22-220000−2−222−2−22222−2−222−2−200000000000000
χ3522-22-2-22-22200002-22-2-22-22-2-2-22-2222-2-2-22-22000000002i−2i−2i2i000022−2−2−2−22200000000000000000000002i−2i−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000
χ3622-22-2-22-22200002-22-2-22-22-2-2-22-2222-2-2-22-22000000002i−2i−2i2i0000−2−22222−2−200000000000000000000002i−2i−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000
χ3722-22-2-22-22200002-22-2-22-22-2-2-22-2222-2-2-22-2200000000−2i2i2i−2i000022−2−2−2−2220000000000000000000000−2i2i2i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000
χ3822-22-2-22-22200002-22-2-22-22-2-2-22-2222-2-2-22-2200000000−2i2i2i−2i0000−2−22222−2−20000000000000000000000−2i2i2i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000
χ3922-2-22-2-2222-22-22222-2-2-2-2-222-2-22-2222-2-2-22-2-2-2-22222-22i2i−2i−2i−2i−2i2i2i000000000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ4022-2-22-2-2222-22-22222-2-2-2-2-222-2-22-2222-2-2-22-2-2-2-22222-2−2i−2i2i2i2i2i−2i−2i000000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ4122-2-22-2-222-12-22-222-1-2-2-2112-111-1-2-1-1-1111-112-1-1-2-21122i2i−2i−2i2i2i−2i−2i000000002i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii−i−iii−i−iii0000000000000000002-2-1-111000000
χ4222-2-22-2-222-12-22-222-1-2-2-2112-111-1-2-1-1-1111-112-1-1-2-21122i2i−2i−2i2i2i−2i−2i00000000−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i−i−iii−i−iii000000000000000000-2211-1-1000000
χ4322-2-22-2-222-12-22-222-1-2-2-2112-111-1-2-1-1-1111-112-1-1-2-2112−2i−2i2i2i−2i−2i2i2i000000002i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiiiii−i−iii−i−i000000000000000000-2211-1-1000000
χ4422-2-22-2-222-12-22-222-1-2-2-2112-111-1-2-1-1-1111-112-1-1-2-2112−2i−2i2i2i−2i−2i2i2i00000000−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−iii−i−iii−i−i0000000000000000002-2-1-111000000
χ4522-2-22-2-222-1-22-2222-1-2-2-2112-111-1-2-1-1-1111-11-21122-1-1-22i2i−2i−2i−2i−2i2i2i00000000003−3−33000011-1-133−3−3−3−333−i−iiiii−i−i00000000000000000000−i3i3i3−i3000000
χ4622-2-22-2-222-1-22-2222-1-2-2-2112-111-1-2-1-1-1111-11-21122-1-1-22i2i−2i−2i−2i−2i2i2i0000000000−333−3000011-1-1−3−33333−3−3−i−iiiii−i−i00000000000000000000i3−i3−i3i3000000
χ4722-2-22-2-222-1-22-2222-1-2-2-2112-111-1-2-1-1-1111-11-21122-1-1-2−2i−2i2i2i2i2i−2i−2i00000000003−3−33000011-1-133−3−3−3−333ii−i−i−i−iii00000000000000000000i3−i3−i3i3000000
χ4822-2-22-2-222-1-22-2222-1-2-2-2112-111-1-2-1-1-1111-11-21122-1-1-2−2i−2i2i2i2i2i−2i−2i0000000000−333−3000011-1-1−3−33333−3−3ii−i−i−i−iii00000000000000000000−i3i3i3−i3000000
χ4922-2-22-2-22-122-22-2-1-12111-2-2-12-2-221-1-1-1111-11-12211-2-2-1000000002222-2-2-2-22i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii00000000-1-1-1-11111000000002i−2i000000−i−iii00
χ5022-2-22-2-22-122-22-2-1-12111-2-2-12-2-221-1-1-1111-11-12211-2-2-1000000002222-2-2-2-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i00000000-1-1-1-1111100000000−2i2i000000ii−i−i00
χ5122-2-22-2-22-122-22-2-1-12111-2-2-12-2-221-1-1-1111-11-12211-2-2-100000000-2-2-2-222222i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii000000001111-1-1-1-100000000−2i2i000000ii−i−i00
χ5222-2-22-2-22-122-22-2-1-12111-2-2-12-2-221-1-1-1111-11-12211-2-2-100000000-2-2-2-22222−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i000000001111-1-1-1-1000000002i−2i000000−i−iii00
χ532-2222-2-2-2222-2-22-2-2-22-222222-2-2-2-22-2-22-222-222-22-22-2-2000000000000000000000000002-22-20000000000000000000000002-22-22-22-200000000000000
χ542-2222-2-2-2222-2-22-2-2-22-222222-2-2-2-22-2-22-222-222-22-22-2-2000000000000000000000000002-22-2000000000000000000000000-22-22-22-2200000000000000
χ552-2222-2-2-222-222-2-2-2-22-222222-2-2-2-22-2-22-222-2-2-22-22-222000000002-22-22-22-20000000000-22-2200000000000000002-22-22-22-20000000000000000000000
χ562-2222-2-2-222-222-2-2-2-22-222222-2-2-2-22-2-22-222-2-2-22-22-22200000000-22-22-22-220000000000-22-220000000000000000-22-22-22-220000000000000000000000
χ572-2222-2-2-2-12-222-211-2-11-122-12-2-2-21-111-11-1-111-221-1-22-1000000002-22-22-22-20000003−33−31-11-13−33−33−33−300000000-11-11-11-1100000000000000003−33−300
χ582-2222-2-2-2-12-222-211-2-11-122-12-2-2-21-111-11-1-111-221-1-22-1000000002-22-22-22-2000000−33−331-11-1−33−33−33−3300000000-11-11-11-110000000000000000−33−3300
χ592-2222-2-2-2-12-222-211-2-11-122-12-2-2-21-111-11-1-111-221-1-22-100000000-22-22-22-220000003−33−31-11-13−33−33−33−3000000001-11-11-11-10000000000000000−33−3300
χ602-2222-2-2-2-12-222-211-2-11-122-12-2-2-21-111-11-1-111-221-1-22-100000000-22-22-22-22000000−33−331-11-1−33−33−33−33000000001-11-11-11-100000000000000003−33−300
χ612-22-2-2-222220000-22-22-2-22-2-2-2-22222-222-2-2-220000000000002-22-22−2−222−2−22000000000000000000000000002-22-22−2−222−2−222−2−222−2−2200000000000000
χ622-22-2-2-222220000-22-22-2-22-2-2-2-22222-222-2-2-220000000000002-22-2−222−2−222−2000000000000000000000000002-22-2−222−2−222−2−222−2−222−200000000000000
χ632-22-2-2-222220000-22-22-2-22-2-2-2-22222-222-2-2-22000000000000-22-222−2−222−2−2200000000000000000000000000-22-222−2−222−2−22−222−2−222−200000000000000
χ642-22-2-2-222220000-22-22-2-22-2-2-2-22222-222-2-2-22000000000000-22-22−222−2−222−200000000000000000000000000-22-22−222−2−222−22−2−222−2−2200000000000000
χ652-2-22-22-22220000-22-2-222-22-2-22-22-22-22-222-2-20000000000002i−2i−2i2i2−2−22−222−2000000000000000000000000002i−2i−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000000000
χ662-2-22-22-22220000-22-2-222-22-2-22-22-22-22-222-2-20000000000002i−2i−2i2i−222−22−2−22000000000000000000000000002i−2i−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i200000000000000
χ672-2-22-22-22220000-22-2-222-22-2-22-22-22-22-222-2-2000000000000−2i2i2i−2i2−2−22−222−200000000000000000000000000−2i2i2i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000000000
χ682-2-22-22-22220000-22-2-222-22-2-22-22-22-22-222-2-2000000000000−2i2i2i−2i−222−22−2−2200000000000000000000000000−2i2i2i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i200000000000000
χ692-2-2-2222-22222-2-2-2-2-2-22-2-2-22222-222-2-2-22-22222-2-22-22-2000000000000000000000000002-2-220000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ702-2-2-2222-22222-2-2-2-2-2-22-2-2-22222-222-2-2-22-22222-2-22-22-2000000000000000000000000002-2-22000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ712-2-2-2222-222-2-222-2-2-2-22-2-2-22222-222-2-2-22-222-2-222-22-22000000002-22-2-22-220000000000-222-200000000000000002-22-2-22-220000000000000000000000
χ722-2-2-2222-222-2-222-2-2-2-22-2-2-22222-222-2-2-22-222-2-222-22-2200000000-22-222-22-20000000000-222-20000000000000000-22-222-22-20000000000000000000000
χ732-2-2-2222-2-12-2-22211-21-11-2-2-1222-2-1-1111-11-1-11-22-112-2-1000000002-22-2-22-22000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i300000000-11-111-11-10000000000000000−i3i3i3−i300
χ742-2-2-2222-2-12-2-22211-21-11-2-2-1222-2-1-1111-11-1-11-22-112-2-1000000002-22-2-22-22000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i300000000-11-111-11-10000000000000000i3−i3−i3i300
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χ762-2-2-2222-2-12-2-22211-21-11-2-2-1222-2-1-1111-11-1-11-22-112-2-100000000-22-222-22-2000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i3000000001-11-1-11-110000000000000000−i3i3i3−i300
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χ1154-4-4-4444-4-2-2-4-4442222-2222-2-2-2-22-21-1-1-11-11122-2-22-22-20000000000000000000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000
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χ117888-8-88-8-8-4-40000-44-4-4-44-4444-444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-88-8-88-8-4-40000-44-444-44-4444-44-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1208-8-88-88-88-4-400004-444-4-44-444-44-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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