Finite Group Databasebeta

← Group #11786054

Character table — Group #11786054

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212888888888888888844121212121212121212121212121212121212121224242424242424242424242424242424444444444444121212121212121244
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
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
χ911-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−i
χ1011-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii
χ1111-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii−ii
χ1211-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−ii−i
χ1311-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−ii
χ1411-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i
χ1511-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−ii−i−iii−i−iiii−i
χ1611-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-200000000000000000000000022-2-222-2-200000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2000000000000000000000000-2-222-2-22200000000000000
χ19222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-100000000222222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ20222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-10000000022222222-2-2-2-211-2-211-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ21222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-100000000-2-2-2-2-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ22222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-100000000-2-2-2-2-2-2-2-2-2-2-2-211-2-211-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ2322222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-12222222220000000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ2422222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-122222222200000000-2-211-2-211-2-2-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ2522222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-2-2-20000000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ2622222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-2-2-200000000-2-211-2-211-2-2-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ27222-2-2-2-22222-22-2-2-2-2-22-22-22222-2-22-2-22-2-2222-22-22-2-222i2i−2i−2i2i2i−2i−2i0000000000000000002-22-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ28222-2-2-2-22222-22-2-2-2-2-22-22-22222-2-22-2-22-2-2222-22-22-2-22−2i−2i2i2i−2i−2i2i2i0000000000000000002-22-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ29222-2-2-2-2222-22-22-2-2-2-22-22-22222-2-22-2-22-2-222-22-22-222-2000000002i2i−2i−2i2i2i−2i−2i0000000000-22-2200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ30222-2-2-2-2222-22-22-2-2-2-22-22-22222-2-22-2-22-2-222-22-22-222-200000000−2i−2i2i2i−2i−2i2i2i0000000000-22-220000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ31222-2-2-2-222-1-22-22-2-2112-2-112-12-1-21-111-111-1-1-2-1-221-121000000002i2i−2i−2i2i2i−2i−2i0000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i300000000−i−iii−i−iii00000000000000003−33−300
χ32222-2-2-2-222-1-22-22-2-2112-2-112-12-1-21-111-111-1-1-2-1-221-121000000002i2i−2i−2i2i2i−2i−2i0000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i300000000−i−iii−i−iii0000000000000000−33−3300
χ33222-2-2-2-222-1-22-22-2-2112-2-112-12-1-21-111-111-1-1-2-1-221-12100000000−2i−2i2i2i−2i−2i2i2i0000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i300000000ii−i−iii−i−i0000000000000000−33−3300
χ34222-2-2-2-222-1-22-22-2-2112-2-112-12-1-21-111-111-1-1-2-1-221-12100000000−2i−2i2i2i−2i−2i2i2i0000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i300000000ii−i−iii−i−i00000000000000003−33−300
χ35222-2-2-2-22-122-22-211-2-2-112-2-12-121-2-111-111-1-1-1-2-112-2122i2i−2i−2i2i2i−2i−2i0000000000−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i3−i−iii−i−iii000000000000000000003−33−3000000
χ36222-2-2-2-22-122-22-211-2-2-112-2-12-121-2-111-111-1-1-1-2-112-2122i2i−2i−2i2i2i−2i−2i0000000000i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i3−i−iii−i−iii00000000000000000000−33−33000000
χ37222-2-2-2-22-122-22-211-2-2-112-2-12-121-2-111-111-1-1-1-2-112-212−2i−2i2i2i−2i−2i2i2i0000000000−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i3ii−i−iii−i−i00000000000000000000−33−33000000
χ38222-2-2-2-22-122-22-211-2-2-112-2-12-121-2-111-111-1-1-1-2-112-212−2i−2i2i2i−2i−2i2i2i0000000000i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i3ii−i−iii−i−i000000000000000000003−33−3000000
χ3922-222-2-2-2222-2-22-2-2-2-2-22-2222-2-2222-2-2-2222-2-222-22-22-2000000002i2i−2i−2i−2i−2i2i2i0000000000-222-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ4022-222-2-2-2222-2-22-2-2-2-2-22-2222-2-2222-2-2-2222-2-222-22-22-200000000−2i−2i2i2i2i2i−2i−2i0000000000-222-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ4122-222-2-2-222-222-2-2-2-2-2-22-2222-2-2222-2-2-2222-22-2-22-22-222i2i−2i−2i−2i−2i2i2i0000000000000000002-2-22000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ4222-222-2-2-222-222-2-2-2-2-2-22-2222-2-2222-2-2-2222-22-2-22-22-22−2i−2i2i2i2i2i−2i−2i0000000000000000002-2-2200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ4322-222-2-2-22-12-2-22-2-211-221-12-1-212-1-1111-1-1-11-2-12-2-1121000000002i2i−2i−2i−2i−2i2i2i00003−300−331-1-1133−3−3−3−33300000000−i−iiiii−i−i0000000000000000i3−i3−i3i300
χ4422-222-2-2-22-12-2-22-2-211-221-12-1-212-1-1111-1-1-11-2-12-2-1121000000002i2i−2i−2i−2i−2i2i2i0000−33003−31-1-11−3−33333−3−300000000−i−iiiii−i−i0000000000000000−i3i3i3−i300
χ4522-222-2-2-22-12-2-22-2-211-221-12-1-212-1-1111-1-1-11-2-12-2-112100000000−2i−2i2i2i2i2i−2i−2i00003−300−331-1-1133−3−3−3−33300000000ii−i−i−i−iii0000000000000000−i3i3i3−i300
χ4622-222-2-2-22-12-2-22-2-211-221-12-1-212-1-1111-1-1-11-2-12-2-112100000000−2i−2i2i2i2i2i−2i−2i0000−33003−31-1-11−3−33333−3−300000000ii−i−i−i−iii0000000000000000i3−i3−i3i300
χ4722-222-2-2-2-12-222-211-2-21-1-22-121-2-12-1111-1-1-11-1-21-1-22122i2i−2i−2i−2i−2i2i2i00000000003−300−3300-111-13−33−3−33−33−i−iiiii−i−i00000000000000000000i3−i3−i3i3000000
χ4822-222-2-2-2-12-222-211-2-21-1-22-121-2-12-1111-1-1-11-1-21-1-22122i2i−2i−2i−2i−2i2i2i0000000000−33003−300-111-1−33−333−33−3−i−iiiii−i−i00000000000000000000−i3i3i3−i3000000
χ4922-222-2-2-2-12-222-211-2-21-1-22-121-2-12-1111-1-1-11-1-21-1-2212−2i−2i2i2i2i2i−2i−2i00000000003−300−3300-111-13−33−3−33−33ii−i−i−i−iii00000000000000000000−i3i3i3−i3000000
χ5022-222-2-2-2-12-222-211-2-21-1-22-121-2-12-1111-1-1-11-1-21-1-2212−2i−2i2i2i2i2i−2i−2i0000000000−33003−300-111-1−33−333−33−3ii−i−i−i−iii00000000000000000000i3−i3−i3i3000000
χ5122-2-2-222-22222-2-22222-2-2-2-222-2-2-2-2222-2-2-22-2-2-22222-2-200000000000000000000000000-2-22200000000000000000000000022-2-2-2-22200000000000000
χ5222-2-2-222-22222-2-22222-2-2-2-222-2-2-2-2222-2-2-22-2-2-22222-2-200000000000000000000000000-2-222000000000000000000000000-2-22222-2-200000000000000
χ5322-2-2-222-22-1-2-22222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-1000000002222-2-2-2-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00000000-1-1-1-1111100000000002i−2i0000−i−iii00
χ5422-2-2-222-22-1-2-22222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-1000000002222-2-2-2-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00000000-1-1-1-111110000000000−2i2i0000ii−i−i00
χ5522-2-2-222-22-1-2-22222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-100000000-2-2-2-222222i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii000000001111-1-1-1-10000000000−2i2i0000ii−i−i00
χ5622-2-2-222-22-1-2-22222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-100000000-2-2-2-22222−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i000000001111-1-1-1-100000000002i−2i0000−i−iii00
χ5722-2-2-222-2-12-2-222-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-122222-2-2-2-2000000002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii-1-1-1-1111100000000000000002i−2i00−i−iii000000
χ5822-2-2-222-2-12-2-222-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-122222-2-2-2-200000000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i-1-1-1-111110000000000000000−2i2i00ii−i−i000000
χ5922-2-2-222-2-12-2-222-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-12-2-2-2-22222000000002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii1111-1-1-1-10000000000000000−2i2i00ii−i−i000000
χ6022-2-2-222-2-12-2-222-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-12-2-2-2-2222200000000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i1111-1-1-1-100000000000000002i−2i00−i−iii000000
χ612-222-22-2-22200002-22-2-22-2-2-2-222-2222-2-22-2-2200000000−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−2002i−2i002i−2i00000000000000
χ622-222-22-2-22200002-22-2-22-2-2-2-222-2222-2-22-2-2200000000−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200−2i2i00−2i2i00000000000000
χ632-222-22-2-22200002-22-2-22-2-2-2-222-2222-2-22-2-2200000000i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−200−2i2i00−2i2i00000000000000
χ642-222-22-2-22200002-22-2-22-2-2-2-222-2222-2-22-2-2200000000i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−22002i−2i002i−2i00000000000000
χ652-22-22-22-2220000-22-22-2-2-22-2-2222-22-22-2-22-22000000002−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000000000000000002−2−222−2−22−i2i2i2−i2−i2i2i2−i22i−2i002i−2i0000000000000000
χ662-22-22-22-2220000-22-22-2-2-22-2-2222-22-22-2-22-22000000002−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000000000000000002−2−222−2−22i2−i2−i2i2i2−i2−i2i2−2i2i00−2i2i0000000000000000
χ672-22-22-22-2220000-22-22-2-2-22-2-2222-22-22-2-22-2200000000−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000000000−222−2−222−2−i2i2i2−i2−i2i2i2−i2−2i2i00−2i2i0000000000000000
χ682-22-22-22-2220000-22-22-2-2-22-2-2222-22-22-2-22-2200000000−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000000000−222−2−222−2i2−i2−i2i2i2−i2−i2i22i−2i002i−2i0000000000000000
χ692-2-22-2-222220000-22-22222-2-2-2-2-2-222-2222-2-2-2000000002−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000000000000000002−2−22−222−2−i2i2i2−i2i2−i2−i2i22i−2i00−2i2i0000000000000000
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Here i is the imaginary unit (i² = −1).