Finite Group Databasebeta

← Group #11777055

Character table — Group #11777055

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222444433444466666612121212121212123666888812121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424888888884444888824242424242424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-111-1-1
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-111i−i−iiii−i−iii−i−i−i−iii−i−iii-11-1-111
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-111−iii−i−i−iii−i−iiiii−i−iii−i−i-11-1-111
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-111-1-1
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i11-1-1−ii−iiii−i−i−i−iiiii−i−i−i−iii1-1-1-111
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iii-1-111−iii−iii−i−i−i−iii−i−iiiii−i−i-1111-1-1
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−i-1-111i−i−ii−i−iiiii−i−iii−i−i−i−iii-1111-1-1
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iii11-1-1i−ii−i−i−iiiii−i−i−i−iiiii−i−i1-1-1-111
χ172222222222-2-2-2-22222222222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000222200000000000000000000-2-20000
χ182222222222-2-2-2-22222222222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-12222222-1-1-122-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-1000000
χ20222222222-12222222-1-1-122-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-20000000011111111000000
χ21222222222-12222222-1-1-122-1-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100002222000000-2-200000000-1-1-1-11111000000
χ22222222222-12222222-1-1-122-1-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-200000022000000001111-1-1-1-1000000
χ2322222222-122222-1-1-1222-1-122-1-122-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-100000000000000
χ2422222222-122222-1-1-1222-1-122-1-122-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2001111111100000000000000
χ2522222222-122222-1-1-1222-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111222200000000-2-200-1-1-1-1111100000000000000
χ2622222222-122222-1-1-1222-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-20000000022001111-1-1-1-100000000000000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222200002222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000000000000000-220000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222200002222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-222000000000000000000002-20000
χ292222-2-2-2-22-1-2-222222-1-1-1-2-211-2-211-1-1-1-122-2-2-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100002i2i−2i−2i0000002i−2i00000000−i−iii−i−iii000000
χ302222-2-2-2-22-1-2-222222-1-1-1-2-211-2-211-1-1-1-122-2-2-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000−2i−2i2i2i000000−2i2i00000000ii−i−iii−i−i000000
χ312222-2-2-2-22-1-2-222222-1-1-1-2-211-2-211-1-1-1-1-2-222-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002i2i−2i−2i000000−2i2i00000000−i−iiiii−i−i000000
χ322222-2-2-2-22-1-2-222222-1-1-1-2-211-2-211-1-1-1-1-2-222-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−2i−2i2i2i0000002i−2i00000000ii−i−i−i−iii000000
χ332222-2-2-2-2-12-2-222-1-1-122211-2-211-2-2-1-1-1-122-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i2i−2i−2i000000002i−2i00−i−iii−i−iii00000000000000
χ342222-2-2-2-2-12-2-222-1-1-122211-2-211-2-2-1-1-1-122-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i−2i2i2i00000000−2i2i00ii−i−iii−i−i00000000000000
χ352222-2-2-2-2-12-2-222-1-1-122211-2-211-2-2-1-1-1-1-2-22211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i2i−2i−2i00000000−2i2i00−i−iiiii−i−i00000000000000
χ362222-2-2-2-2-12-2-222-1-1-122211-2-211-2-2-1-1-1-1-2-22211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i−2i2i2i000000002i−2i00ii−i−i−i−iii00000000000000
χ3722-2-222-2-22200002-2-22-2-222-2-2-2-22222-2-22−22−2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2000000002i−2i2i−2i0000000000000000000000−i2i2−i2i2
χ3822-2-222-2-22200002-2-22-2-222-2-2-2-22222-2-22−22−2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−200000000−2i2i−2i2i0000000000000000000000i2−i2i2−i2
χ3922-2-222-2-22200002-2-22-2-222-2-2-2-22222-2-2−22−22000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222000000002i−2i2i−2i0000000000000000000000i2−i2i2−i2
χ4022-2-222-2-22200002-2-22-2-222-2-2-2-22222-2-2−22−22000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−2222200000000−2i2i−2i2i0000000000000000000000−i2i2−i2i2
χ4122-2-2-2-2222200002-2-22-2-2-2-22222-2-222-2-22−2−220000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−22222000000002i−2i−2i2i0000000000000000000000−i2i2i2−i2
χ4222-2-2-2-2222200002-2-22-2-2-2-22222-2-222-2-22−2−220000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−2222200000000−2i2i2i−2i0000000000000000000000i2−i2−i2i2
χ4322-2-2-2-2222200002-2-22-2-2-2-22222-2-222-2-2−222−20000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2000000002i−2i−2i2i0000000000000000000000i2−i2−i2i2
χ4422-2-2-2-2222200002-2-22-2-2-2-22222-2-222-2-2−222−20000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−200000000−2i2i2i−2i0000000000000000000000−i2i2i2−i2
χ452-22-22i−2i2i−2i222i−2i2-2-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-222-2-20000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000
χ462-22-22i−2i2i−2i222i−2i2-2-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-222-2-2000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000
χ472-22-22i−2i2i−2i22−2i2i-22-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-20000−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-2-222000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ482-22-22i−2i2i−2i22−2i2i-22-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-20000−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-2-22200000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ492-22-22i−2i2i−2i2-12i−2i2-2-22-21-112i−2i−ii2i−2i−ii-11-1100002i−2i−ii−ii−ii−i−iii2-2-11-1-1110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300003−33−333−3−333−3−300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ502-22-22i−2i2i−2i2-12i−2i2-2-22-21-112i−2i−ii2i−2i−ii-11-1100002i−2i−ii−ii−ii−i−iii2-2-11-1-1110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300003−33−333−3−333−3−30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ512-22-22i−2i2i−2i2-12i−2i2-2-22-21-112i−2i−ii2i−2i−ii-11-1100002i−2i−ii−ii−ii−i−iii2-2-11-1-1110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000−33−33−3−333−3−33300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ522-22-22i−2i2i−2i2-12i−2i2-2-22-21-112i−2i−ii2i−2i−ii-11-1100002i−2i−ii−ii−ii−i−iii2-2-11-1-1110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000−33−33−3−333−3−3330000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ532-22-22i−2i2i−2i-12−2i2i-221-11-22-2−ii2i−2i−ii2i−2i-11-110000i−i−2i2i−ii−iiii−i−i1-1-2211-1-13−33−300003−33−33−33−3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000
χ542-22-22i−2i2i−2i-12−2i2i-221-11-22-2−ii2i−2i−ii2i−2i-11-110000i−i−2i2i−ii−iiii−i−i1-1-2211-1-13−33−300003−33−33−33−3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000
χ552-22-22i−2i2i−2i-12−2i2i-221-11-22-2−ii2i−2i−ii2i−2i-11-110000i−i−2i2i−ii−iiii−i−i1-1-2211-1-1−33−330000−33−33−33−33i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000
χ562-22-22i−2i2i−2i-12−2i2i-221-11-22-2−ii2i−2i−ii2i−2i-11-110000i−i−2i2i−ii−iiii−i−i1-1-2211-1-1−33−330000−33−33−33−33i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000
χ572-22-2−2i2i−2i2i222i−2i-22-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-200002i−2i2i−2i−2i2i−2i2i2i2i−2i−2i-22-22-2-22200000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
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χ1224-4-44−4i4i4i−4i-24000022-2-4-442i−2i4i−4i−2i2i−4i4i-222-2000000002i−2i−2i2i000000000000−666−60000−66−666−66−6−i6i6i6−i60000−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
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χ1244-4-44−4i4i4i−4i-2-2000022-222-22i−2i−2i2i−2i2i2i−2i1-1-1100000000−iii−i3-3-3300003i−3i−3i3i−666−6i6−i6−i6i6−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−i6i6i6−i66−6−66ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ2300000000000000000000000000000000000000
χ1254-4-44−4i4i4i−4i-2-2000022-222-22i−2i−2i2i−2i2i2i−2i1-1-1100000000−iii−i-333-30000−3i3i3i−3i6−6−66i6−i6−i6i6−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13i6−i6−i6i66−6−66−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ1300000000000000000000000000000000000000
χ1264-4-44−4i4i4i−4i-2-2000022-222-22i−2i−2i2i−2i2i2i−2i1-1-1100000000−iii−i-333-30000−3i3i3i−3i−666−6−i6i6i6−i6ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−i6i6i6−i6−666−6ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ1300000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.