Finite Group Databasebeta

← Group #11790145

Character table — Group #11790145

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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
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
χ911-1-11-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1i−ii−iii−i−iii−i−i1-1
χ1011-1-11-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1−ii−ii−i−iii−i−iii-11
χ1111-1-11-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111i−i−ii−i−iiiii−i−i-11
χ1211-1-11-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111−iii−iii−i−i−i−iii1-1
χ1311-1-11-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111−iii−iii−i−i−i−iii-11
χ1411-1-11-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111i−i−ii−i−iiiii−i−i1-1
χ1511-1-11-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1−ii−ii−i−iii−i−iii1-1
χ1611-1-11-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1i−ii−iii−i−iii−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
χ19222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022000000-1-1-1-100
χ20222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2000000111100
χ21222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2000000111100
χ22222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-11111111111111111000000000000000022000000-1-1-1-100
χ23222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-22222-2-2-2-2000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-1-1-1-11111000000000000000000000000−i3i3−i3i300
χ24222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-22222-2-2-2-2000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-1-1-1-11111000000000000000000000000i3−i3i3−i300
χ25222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-22222000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i31111-1-1-1-1000000000000000000000000i3−i3i3−i300
χ26222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-22222000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i31111-1-1-1-1000000000000000000000000−i3i3−i3i300
χ2722222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000022-1-1-1-1000000
χ2822222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-21111000000
χ2922222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-21111000000
χ3022222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-1111111110000000011111111000000000022-1-1-1-1000000
χ31222-2-22-2-22200002222-22-2-2-2-2-22-2-22222-2-2-2-2000000002-22-2000022−2−222−2−200000000000000000000002-22-2000022−2−222−2−222−2−222−2−200000000000000
χ32222-2-22-2-22200002222-22-2-2-2-2-22-2-22222-2-2-2-2000000002-22-20000−2−222−2−22200000000000000000000002-22-20000−2−222−2−222−2−222−2−22200000000000000
χ33222-2-22-2-22200002222-22-2-2-2-2-22-2-22222-2-2-2-200000000-22-22000022−2−222−2−20000000000000000000000-22-22000022−2−222−2−2−2−222−2−22200000000000000
χ34222-2-22-2-22200002222-22-2-2-2-2-22-2-22222-2-2-2-200000000-22-220000−2−222−2−2220000000000000000000000-22-220000−2−222−2−22222−2−222−2−200000000000000
χ3522-22-2-22-222000022-2-22-22-2-2-2-2-22222-2-222-2-2000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i200000000000000000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000000000
χ3622-22-2-22-222000022-2-22-22-2-2-2-2-22222-2-222-2-2000000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i200000000000000000000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000000000
χ3722-22-2-22-222000022-2-22-22-2-2-2-2-22222-2-222-2-200000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000000000000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000000000
χ3822-22-2-22-222000022-2-22-22-2-2-2-2-22222-2-222-2-200000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000000000000000000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000000000
χ3922-2-22-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-222222i2i−2i−2i−2i−2i2i2i000000000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ4022-2-22-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-22222−2i−2i2i2i2i2i−2i−2i000000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ4122-2-22-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22i2i−2i−2i2i2i−2i−2i000000002-222-1-1-2-211-1-111-1-1-1-11111−i−iii−i−iii00000000000000002i−2i000000−i−iii00
χ4222-2-22-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22i2i−2i−2i2i2i−2i−2i00000000-22-2-21122-1-1-1-1111111-1-1-1-1−i−iii−i−iii0000000000000000−2i2i000000ii−i−i00
χ4322-2-22-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2−2i−2i2i2i−2i−2i2i2i000000002-222-1-1-2-211-1-111-1-1-1-11111ii−i−iii−i−i0000000000000000−2i2i000000ii−i−i00
χ4422-2-22-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2−2i−2i2i2i−2i−2i2i2i00000000-22-2-21122-1-1-1-1111111-1-1-1-1ii−i−iii−i−i00000000000000002i−2i000000−i−iii00
χ4522-2-22-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-122i2i−2i−2i−2i−2i2i2i000000000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i0000000000000000000000003−3−3300
χ4622-2-22-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-122i2i−2i−2i−2i−2i2i2i000000000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i000000000000000000000000−333−300
χ4722-2-22-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-12−2i−2i2i2i2i2i−2i−2i000000000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii000000000000000000000000−333−300
χ4822-2-22-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-12−2i−2i2i2i2i2i−2i−2i000000000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii0000000000000000000000003−3−3300
χ4922-2-22-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21000000002i2i2i2i−2i−2i−2i−2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000−i−i−i−iiiii00000000002i−2i−i−iii000000
χ5022-2-22-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21000000002i2i2i2i−2i−2i−2i−2i-2211-2-2-1-122-1-1111111-1-1-1-100000000−i−i−i−iiiii0000000000−2i2iii−i−i000000
χ5122-2-22-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-2100000000−2i−2i−2i−2i2i2i2i2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000iiii−i−i−i−i0000000000−2i2iii−i−i000000
χ5222-2-22-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-2100000000−2i−2i−2i−2i2i2i2i2i-2211-2-2-1-122-1-1111111-1-1-1-100000000iiii−i−i−i−i00000000002i−2i−i−iii000000
χ532-2222-2-2-2222-22-2-2-22-222222-2-2-2-2-22-22-22-22-22-22-2-22-22000000002-22-22-22-200000000002-22-200000000000000002-22-22-22-20000000000000000000000
χ542-2222-2-2-2222-22-2-2-22-222222-2-2-2-2-22-22-22-22-22-22-2-22-2200000000-22-22-22-2200000000002-22-20000000000000000-22-22-22-220000000000000000000000
χ552-2222-2-2-222-22-22-2-22-222222-2-2-2-2-22-22-22-22-2-22-222-22-200000000000000000000000000-22-220000000000000000000000002-22-22-22-200000000000000
χ562-2222-2-2-222-22-22-2-22-222222-2-2-2-2-22-22-22-22-2-22-222-22-200000000000000000000000000-22-22000000000000000000000000-22-22-22-2200000000000000
χ572-2222-2-2-2-122-22-21-2-11-122-121-2-21-2-11-11-11-11-112-212-2-1000000002-22-22-22-2003−3003−300-11-113−33−33−33−300000000-11-11-11-110000000000003−33−3000000
χ582-2222-2-2-2-122-22-21-2-11-122-121-2-21-2-11-11-11-11-112-212-2-1000000002-22-22-22-200−3300−3300-11-11−33−33−33−3300000000-11-11-11-11000000000000−33−33000000
χ592-2222-2-2-2-122-22-21-2-11-122-121-2-21-2-11-11-11-11-112-212-2-100000000-22-22-22-22003−3003−300-11-113−33−33−33−3000000001-11-11-11-1000000000000−33−33000000
χ602-2222-2-2-2-122-22-21-2-11-122-121-2-21-2-11-11-11-11-112-212-2-100000000-22-22-22-2200−3300−3300-11-11−33−33−33−33000000001-11-11-11-10000000000003−33−3000000
χ612-22-2-2-222220000-2-22-2-22-2-2-222-2222-22-2-22-220000000000002-22-22−2−222−2−22000000000000000000000000002-22-22−2−222−2−222−2−222−2−2200000000000000
χ622-22-2-2-222220000-2-22-2-22-2-2-222-2222-22-2-22-220000000000002-22-2−222−2−222−2000000000000000000000000002-22-2−222−2−222−2−222−2−222−200000000000000
χ632-22-2-2-222220000-2-22-2-22-2-2-222-2222-22-2-22-22000000000000-22-222−2−222−2−2200000000000000000000000000-22-222−2−222−2−22−222−2−222−200000000000000
χ642-22-2-2-222220000-2-22-2-22-2-2-222-2222-22-2-22-22000000000000-22-22−222−2−222−200000000000000000000000000-22-22−222−2−222−22−2−222−2−2200000000000000
χ652-2-22-22-22220000-2-2-222-22-2-2222-2-22-2-222-2-220000000000002i−2i−2i2i−i2i2i2−i2i2−i2−i2i2000000000000000000000000002i−2i−2i2i−i2i2i2−i2i2−i2−i2i2−222−22−2−2200000000000000
χ662-2-22-22-22220000-2-2-222-22-2-2222-2-22-2-222-2-220000000000002i−2i−2i2ii2−i2−i2i2−i2i2i2−i2000000000000000000000000002i−2i−2i2ii2−i2−i2i2−i2i2i2−i22−2−22−222−200000000000000
χ672-2-22-22-22220000-2-2-222-22-2-2222-2-22-2-222-2-22000000000000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i200000000000000000000000000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i22−2−22−222−200000000000000
χ682-2-22-22-22220000-2-2-222-22-2-2222-2-22-2-222-2-22000000000000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i200000000000000000000000000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i2−222−22−2−2200000000000000
χ692-2-2-2222-22222-2-2-2-2-22-2-2-222-2-22222-2-22-222-22-22-22-22-2000000002i−2i2i−2i−2i2i−2i2i00000000002-2-2200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ702-2-2-2222-22222-2-2-2-2-22-2-2-222-2-22222-2-22-222-22-22-22-22-200000000−2i2i−2i2i2i−2i2i−2i00000000002-2-220000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ712-2-2-2222-222-2-222-2-2-22-2-2-222-2-22222-2-22-222-2-22-22-22-2200000000000000000000000000-222-20000000000000000000000002-22-2-22-2200000000000000
χ722-2-2-2222-222-2-222-2-2-22-2-2-222-2-22222-2-22-222-2-22-22-22-2200000000000000000000000000-222-2000000000000000000000000-22-222-22-200000000000000
χ732-2-2-2222-2-1222-2-21-21-11-2-2-121-22-12-111-11-1-11-112-2-1-221000000002i−2i2i−2i−2i2i−2i2i003−300−3300-111-13−33−3−33−3300000000−ii−iii−ii−i000000000000i3−i3−i3i3000000
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Here i is the imaginary unit (i² = −1).