Finite Group Databasebeta

← Group #11803418

Character table — Group #11803418

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222224444444444444444444444666666668888888888888888888812121212121212121212121212121212121212121212121212121212181818182424242424242424363636363636
order122222223366666666666666344444466666661212121212121212222244441212121212121212121212121212121212121212444444444444666612121212121212121212121244441212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111
χ1711-11-1-11-1111-11-1-11-11-1-11-11-11i−i1-1i−i11-1-11-1-1ii−i−iii−i−i11-1-1ii−i−ii−i11-1-1i−iii−i−i11-1-1ii−i−i1-1i−i1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-1i−i1-1i−i1-1i−i1-1
χ1811-11-1-11-1111-11-1-11-11-1-11-11-11i−i1-1i−i11-1-11-1-1ii−i−iii−i−i11-1-1−i−iiii−i11-1-1i−iii−i−i11-1-1ii−i−i1-1−ii-11-11i−ii−i11-1-1−i−iii-1-111ii−i−i−i−iii1-1−ii-11i−i-11−ii-11
χ1911-11-1-11-1111-11-1-11-11-1-11-11-11i−i1-1i−i11-1-11-1-1ii−i−iii−i−i-1-111ii−i−ii−i11-1-1i−iii−i−i11-1-1ii−i−i-11i−i1-11-1−ii−ii-1-111ii−i−i11-1-1−i−iii−i−iii-11i−i1-1−ii-11−ii-11
χ2011-11-1-11-1111-11-1-11-11-1-11-11-11i−i1-1i−i11-1-11-1-1ii−i−iii−i−i-1-111−i−iiii−i11-1-1i−iii−i−i11-1-1ii−i−i-11−ii-11-11−ii−ii-1-111−i−iii-1-111−i−iiiii−i−i-11−ii-11−ii1-1i−i1-1
χ2111-11-1-11-1111-11-1-11-11-1-11-11-11i−i-11−ii11-1-11-1-1ii−i−i−i−iii11-1-1ii−i−ii−i-1-111−iiii−i−i-1-111−i−iii-11−ii1-1-11i−i−ii11-1-1ii−i−i11-1-1−i−iiiii−i−i-11−ii-11i−i1-1−ii-11
χ2211-11-1-11-1111-11-1-11-11-1-11-11-11i−i-11−ii11-1-11-1-1ii−i−i−i−iii11-1-1−i−iiii−i-1-111−iiii−i−i-1-111−i−iii-11i−i-111-1i−i−ii11-1-1−i−iii-1-111−i−iii−i−iii-11i−i1-1i−i-11i−i1-1
χ2311-11-1-11-1111-11-1-11-11-1-11-11-11i−i-11−ii11-1-11-1-1ii−i−i−i−iii-1-111ii−i−ii−i-1-111−iiii−i−i-1-111−i−iii1-1−ii1-1-11−iii−i-1-111ii−i−i11-1-1ii−i−i−i−iii1-1−ii-11−ii-11i−i1-1
χ2411-11-1-11-1111-11-1-11-11-1-11-11-11i−i-11−ii11-1-11-1-1ii−i−i−i−iii-1-111−i−iiii−i-1-111−iiii−i−i-1-111−i−iii1-1i−i-111-1−iii−i-1-111−i−iii-1-111ii−i−iii−i−i1-1i−i1-1−ii1-1−ii-11
χ2511-11-1-11-1111-11-1-11-11-1-11-11-11−ii1-1−ii11-1-11-1-1−i−iii−i−iii11-1-1ii−i−i−ii11-1-1−ii−i−iii11-1-1−i−iii1-1i−i-11-11−ii−ii11-1-1ii−i−i-1-111−i−iiiii−i−i1-1i−i-11−ii-11i−i-11
χ2611-11-1-11-1111-11-1-11-11-1-11-11-11−ii1-1−ii11-1-11-1-1−i−iii−i−iii11-1-1−i−iii−ii11-1-1−ii−i−iii11-1-1−i−iii1-1−ii1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii−i−iii1-1−ii1-1−ii1-1−ii1-1
χ2711-11-1-11-1111-11-1-11-11-1-11-11-11−ii1-1−ii11-1-11-1-1−i−iii−i−iii-1-111ii−i−i−ii11-1-1−ii−i−iii11-1-1−i−iii-11i−i-11-11i−ii−i-1-111ii−i−i-1-111ii−i−i−i−iii-11i−i-11i−i1-1−ii1-1
χ2811-11-1-11-1111-11-1-11-11-1-11-11-11−ii1-1−ii11-1-11-1-1−i−iii−i−iii-1-111−i−iii−ii11-1-1−ii−i−iii11-1-1−i−iii-11−ii1-11-1i−ii−i-1-111−i−iii11-1-1ii−i−iii−i−i-11−ii1-1i−i-11i−i-11
χ2911-11-1-11-1111-11-1-11-11-1-11-11-11−ii-11i−i11-1-11-1-1−i−iiiii−i−i11-1-1ii−i−i−ii-1-111i−i−i−iii-1-111ii−i−i-11−ii-111-1−iii−i11-1-1ii−i−i-1-111ii−i−iii−i−i-11−ii1-1−ii-11−ii1-1
χ3011-11-1-11-1111-11-1-11-11-1-11-11-11−ii-11i−i11-1-11-1-1−i−iiiii−i−i11-1-1−i−iii−ii-1-111i−i−i−iii-1-111ii−i−i-11i−i1-1-11−iii−i11-1-1−i−iii11-1-1ii−i−i−i−iii-11i−i-11−ii1-1i−i-11
χ3111-11-1-11-1111-11-1-11-11-1-11-11-11−ii-11i−i11-1-11-1-1−i−iiiii−i−i-1-111ii−i−i−ii-1-111i−i−i−iii-1-111ii−i−i1-1−ii-111-1i−i−ii-1-111ii−i−i-1-111−i−iii−i−iii1-1−ii1-1i−i1-1i−i-11
χ3211-11-1-11-1111-11-1-11-11-1-11-11-11−ii-11i−i11-1-11-1-1−i−iiiii−i−i-1-111−i−iii−ii-1-111i−i−i−iii-1-111ii−i−i1-1i−i1-1-11i−i−ii-1-111−i−iii11-1-1−i−iiiii−i−i1-1i−i-11i−i-11−ii1-1
χ33222222222-122-1-1-122-1-12-122-1-1222222-1-1-1-1-1-1-12222-1-1-1-122220000-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1220000002222-1-1-1-100000000-1-1-1-10000-1-10000-1-1000000
χ34222222222-122-1-1-122-1-12-122-1-1222222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-21111000000001111000011000011000000
χ35222222222-122-1-1-122-1-12-122-1-122-2-2-2-2-1-1-1-1-1-1-12222111122220000-1-1-21-21-2-2-1-1-1-111111111-2-200000022-2-2-1-1-1-10000000011110000110000-1-1000000
χ36222222222-122-1-1-122-1-12-122-1-122-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-20000-1-1-21-21-2-2-1-1-1-11111111122000000-2-222111100000000-1-1-1-10000-1-1000011000000
χ37222222222-122-1-1-122-1-12-122-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000112-12-1-2-21111-1-1-1-1111122000000-2-2-2-2-1-1-1-10000000011110000-1-1000011000000
χ38222222222-122-1-1-122-1-12-122-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000112-12-1-2-21111-1-1-1-11111-2-20000002222111100000000-1-1-1-10000110000-1-1000000
χ39222222222-122-1-1-122-1-12-122-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-12222000011-21-212211111111-1-1-1-1-2-2000000-2-222-1-1-1-100000000-1-1-1-1000011000011000000
χ40222222222-122-1-1-122-1-12-122-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-2000011-21-212211111111-1-1-1-12200000022-2-211110000000011110000-1-10000-1-1000000
χ4122222222-12-1-1222-1-122-12-1-12-1222222-1-1-1-1-1-1-1-1-1-1-122220000222222-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-10022222200000000-1-1-1-1-1-1-1-10000000000-1-1-1-100000000
χ4222222222-12-1-1222-1-122-12-1-12-1222222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-222-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-200000000111111110000000000111100000000
χ4322222222-12-1-1222-1-122-12-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222221-21-211-1-1-1-11111111100-2-222-2-200000000-1-1-1-1-1-1-1-10000000000111100000000
χ4422222222-12-1-1222-1-122-12-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2221-21-211-1-1-1-1111111110022-2-22200000000111111110000000000-1-1-1-100000000
χ4522222222-12-1-1222-1-122-12-1-12-1-2-222-2-2-1-1-1-1-1-1-11111-2-2-2-200002222-2-2-12-12111111-1-1-1-111110022-2-2-2-200000000-1-1-1-111110000000000-1-11100000000
χ4622222222-12-1-1222-1-122-12-1-12-1-2-222-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-2-2-2-12-12111111-1-1-1-1111100-2-22222000000001111-1-1-1-1000000000011-1-100000000
χ4722222222-12-1-1222-1-122-12-1-12-1-2-2-2-222-1-1-1-1-1-1-11111222200002222-2-21-21-2-1-111111111-1-1-1-100-2-2-2-22200000000-1-1-1-11111000000000011-1-100000000
χ4822222222-12-1-1222-1-122-12-1-12-1-2-2-2-222-1-1-1-1-1-1-1111122220000-2-2-2-2-2-21-21-2-1-111111111-1-1-1-1002222-2-2000000001111-1-1-1-10000000000-1-11100000000
χ4922-22-2-22-22-12-2-1112-2-11-2-1-221-12i−2i2-22i−2i-1-111-1112i2i−2i−2i−i−iii22-2-20000−ii2-1-212i−2i−i−iii-1-111−i−iii2-20000002i−2i2i−2i-1-11100000000−i−iii0000-110000−ii000000
χ5022-22-2-22-22-12-2-1112-2-11-2-1-221-12i−2i2-22i−2i-1-111-1112i2i−2i−2i−i−iii-2-2220000−ii2-1-212i−2i−i−iii-1-111−i−iii-22000000−2i2i−2i2i11-1-100000000ii−i−i00001-10000i−i000000
χ5122-22-2-22-22-12-2-1112-2-11-2-1-221-12i−2i-22−2i2i-1-111-1112i2i−2i−2iii−i−i22-2-20000−ii-212-1−2i2i−i−iii11-1-1ii−i−i-220000002i−2i−2i2i-1-11100000000ii−i−i00001-10000−ii000000
χ5222-22-2-22-22-12-2-1112-2-11-2-1-221-12i−2i-22−2i2i-1-111-1112i2i−2i−2iii−i−i-2-2220000−ii-212-1−2i2i−i−iii11-1-1ii−i−i2-2000000−2i2i2i−2i11-1-100000000−i−iii0000-110000i−i000000
χ5322-22-2-22-22-12-2-1112-2-11-2-1-221-1−2i2i2-2−2i2i-1-111-111−2i−2i2i2iii−i−i22-2-20000i−i2-1-21−2i2iii−i−i-1-111ii−i−i2-2000000−2i2i−2i2i-1-11100000000ii−i−i0000-110000i−i000000
χ5422-22-2-22-22-12-2-1112-2-11-2-1-221-1−2i2i2-2−2i2i-1-111-111−2i−2i2i2iii−i−i-2-2220000i−i2-1-21−2i2iii−i−i-1-111ii−i−i-220000002i−2i2i−2i11-1-100000000−i−iii00001-10000−ii000000
χ5522-22-2-22-22-12-2-1112-2-11-2-1-221-1−2i2i-222i−2i-1-111-111−2i−2i2i2i−i−iii22-2-20000i−i-212-12i−2iii−i−i11-1-1−i−iii-22000000−2i2i2i−2i-1-11100000000−i−iii00001-10000i−i000000
χ5622-22-2-22-22-12-2-1112-2-11-2-1-221-1−2i2i-222i−2i-1-111-111−2i−2i2i2i−i−iii-2-2220000i−i-212-12i−2iii−i−i11-1-1−i−iii2-20000002i−2i−2i2i11-1-100000000ii−i−i0000-110000−ii000000
χ5722-22-2-22-2-12-112-2-2-112-2121-1-2-12i−2i2-22i−2i-1-111-111−i−iii2i2i−2i−2i00002i2i−2i−2i2i−2i-121-2−ii−i−iii-1-111−i−iii002i−2i2-22-200000000−i−iii-1-1110000000000−ii-1100000000
χ5822-22-2-22-2-12-112-2-2-112-2121-1-2-12i−2i2-22i−2i-1-111-111−i−iii2i2i−2i−2i0000−2i−2i2i2i2i−2i-121-2−ii−i−iii-1-111−i−iii00−2i2i-22-2200000000ii−i−i11-1-10000000000i−i1-100000000
χ5922-22-2-22-2-12-112-2-2-112-2121-1-2-12i−2i-22−2i2i-1-111-111−i−iii−2i−2i2i2i00002i2i−2i−2i2i−2i1-2-12i−i−i−iii11-1-1ii−i−i00−2i2i2-2-2200000000−i−iii-1-1110000000000i−i1-100000000
χ6022-22-2-22-2-12-112-2-2-112-2121-1-2-12i−2i-22−2i2i-1-111-111−i−iii−2i−2i2i2i0000−2i−2i2i2i2i−2i1-2-12i−i−i−iii11-1-1ii−i−i002i−2i-222-200000000ii−i−i11-1-10000000000−ii-1100000000
χ6122-22-2-22-2-12-112-2-2-112-2121-1-2-1−2i2i2-2−2i2i-1-111-111ii−i−i−2i−2i2i2i00002i2i−2i−2i−2i2i-121-2i−iii−i−i-1-111ii−i−i002i−2i-22-2200000000−i−iii11-1-10000000000−ii1-100000000
χ6222-22-2-22-2-12-112-2-2-112-2121-1-2-1−2i2i2-2−2i2i-1-111-111ii−i−i−2i−2i2i2i0000−2i−2i2i2i−2i2i-121-2i−iii−i−i-1-111ii−i−i00−2i2i2-22-200000000ii−i−i-1-1110000000000i−i-1100000000
χ6322-22-2-22-2-12-112-2-2-112-2121-1-2-1−2i2i-222i−2i-1-111-111ii−i−i2i2i−2i−2i00002i2i−2i−2i−2i2i1-2-12−iiii−i−i11-1-1−i−iii00−2i2i-222-200000000−i−iii11-1-10000000000i−i-1100000000
χ6422-22-2-22-2-12-112-2-2-112-2121-1-2-1−2i2i-222i−2i-1-111-111ii−i−i2i2i−2i−2i0000−2i−2i2i2i−2i2i1-2-12−iiii−i−i11-1-1−i−iii002i−2i2-2-2200000000ii−i−i-1-1110000000000−ii1-100000000
χ652-22-2-2-22222-2-22-2-2-22-22-2-222220000002-2-2-2-222000000002-22-22-22-2000000000000000000000000000000002-22-22-22-2000000002-22-200000000000000
χ662-22-2-2-22222-2-22-2-2-22-22-2-222220000002-2-2-2-222000000002-22-2-22-22000000000000000000000000000000002-22-2-22-2200000000-22-2200000000000000
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χ1134-4-4-4444-44-2-44-2-2-2-4-42242-442-2000000-22-2-2222000000004-4-44000000000000000000000000000000000000-222-2000000000000000000000000000000
χ1144-4-4-4444-44-2-44-2-2-2-4-42242-442-2000000-22-2-222200000000-444-40000000000000000000000000000000000002-2-22000000000000000000000000000000
χ1154-4-4-4444-4-242-244422-4-4-2-42-2-4-2000000-22-2-22220000000000004i−4i−4i4i000000000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1164-4-4-4444-4-242-244422-4-4-2-42-2-4-2000000-22-2-2222000000000000−4i4i4i−4i0000000000000000000000000000000000002i−2i−2i2i00000000000000000000000000
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χ1208-8-8-8888-8-4-44-4-4-4-44444-444-4420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000

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