Finite Group Databasebeta

← Group #11860488

Character table — Group #11860488

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444466666666666666668888888888888812121212121212121212121212121212121212121212121216161616181818182424242424242424363636363636
order1222334466666688882234466612121212242424242424242422444444666612121212666612121212121224242424224444448888121212122424242424242424661212444466121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ7111111111111111111-1-11-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ8111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ911111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1
χ1011111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ1211111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111111111-1-11111-1-11111-1-1-1-111-1-1
χ1311111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1
χ1411111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111
χ1511111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111
χ1611111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-1
χ1711-1-111-11-11-11-1-1ii−i−i1-11i−i-11-11-11-1ii−i−iii−i−i1-11-1i−ii−i11-1-1ii−i−i1-11-1i−ii−i1-1ii−i−i1-11-1i−ii−ii−i1-11-1i−i11-1-1ii−i−i1-1i−ii−ii−i1-11-1i−ii−i1-1i−i1-1
χ1811-1-111-11-11-11-1-1ii−i−i1-11i−i-11-11-11-1ii−i−iii−i−i1-11-1−ii−ii11-1-1−i−iii1-11-1i−ii−i1-1ii−i−i1-1-11−iii−ii−i-111-1−ii-1-111ii−i−i1-1i−i−ii−ii1-1-11i−i−ii-11−ii-11
χ1911-1-111-11-11-11-1-1ii−i−i1-11i−i-11-11-11-1ii−i−iii−i−i-11-11i−ii−i-1-111ii−i−i1-11-1i−ii−i1-1ii−i−i-111-1i−i−ii−ii1-1-11i−i11-1-1−i−iii1-1i−i−ii−ii-111-1−iii−i-11−ii-11
χ2011-1-111-11-11-11-1-1ii−i−i1-11i−i-11-11-11-1ii−i−iii−i−i-11-11−ii−ii-1-111−i−iii1-11-1i−ii−i1-1ii−i−i-11-11−ii−ii−ii-11-11−ii-1-111−i−iii1-1i−ii−ii−i-11-11−ii−ii1-1i−i1-1
χ2111-1-111-11-11-11-1-1ii−i−i-111−ii-11-11-11-1ii−i−iii−i−i1-11-1i−ii−i11-1-1ii−i−i-11-11−ii−ii1-1ii−i−i-11-11−ii−iii−i1-11-1i−i11-1-1ii−i−i-11−iii−ii−i-11-11−ii−ii-11−ii1-1
χ2211-1-111-11-11-11-1-1ii−i−i-111−ii-11-11-11-1ii−i−iii−i−i1-11-1−ii−ii11-1-1−i−iii-11-11−ii−ii1-1ii−i−i-111-1i−i−iii−i-111-1−ii-1-111ii−i−i-11−ii−ii−ii-111-1−iii−i1-1i−i-11
χ2311-1-111-11-11-11-1-1ii−i−i-111−ii-11-11-11-1ii−i−iii−i−i-11-11i−ii−i-1-111ii−i−i-11-11−ii−ii1-1ii−i−i1-1-11−iii−i−ii1-1-11i−i11-1-1−i−iii-11−ii−ii−ii1-1-11i−i−ii1-1i−i-11
χ2411-1-111-11-11-11-1-1ii−i−i-111−ii-11-11-11-1ii−i−iii−i−i-11-11−ii−ii-1-111−i−iii-11-11−ii−ii1-1ii−i−i1-11-1i−ii−i−ii-11-11−ii-1-111−i−iii-11−iii−ii−i1-11-1i−ii−i-11−ii1-1
χ2511-1-111-11-11-11-1-1−i−iii1-11−ii-11-11-11-1−i−iii−i−iii1-11-1i−ii−i11-1-1ii−i−i1-11-1−ii−ii1-1−i−iii1-1-11i−i−ii−ii-111-1i−i-1-111−i−iii1-1−iii−ii−i1-1-11−iii−i-11i−i-11
χ2611-1-111-11-11-11-1-1−i−iii1-11−ii-11-11-11-1−i−iii−i−iii1-11-1−ii−ii11-1-1−i−iii1-11-1−ii−ii1-1−i−iii1-11-1−ii−ii−ii1-11-1−ii11-1-1−i−iii1-1−ii−ii−ii1-11-1−ii−ii1-1−ii1-1
χ2711-1-111-11-11-11-1-1−i−iii1-11−ii-11-11-11-1−i−iii−i−iii-11-11i−ii−i-1-111ii−i−i1-11-1−ii−ii1-1−i−iii-11-11i−ii−ii−i-11-11i−i-1-111ii−i−i1-1−ii−ii−ii-11-11i−ii−i1-1−ii1-1
χ2811-1-111-11-11-11-1-1−i−iii1-11−ii-11-11-11-1−i−iii−i−iii-11-11−ii−ii-1-111−i−iii1-11-1−ii−ii1-1−i−iii-111-1−iii−ii−i1-1-11−ii11-1-1ii−i−i1-1−iii−ii−i-111-1i−i−ii-11i−i-11
χ2911-1-111-11-11-11-1-1−i−iii-111i−i-11-11-11-1−i−iii−i−iii1-11-1i−ii−i11-1-1ii−i−i-11-11i−ii−i1-1−i−iii-111-1−iii−i−ii-111-1i−i-1-111−i−iii-11i−ii−ii−i-111-1i−i−ii1-1−ii-11
χ3011-1-111-11-11-11-1-1−i−iii-111i−i-11-11-11-1−i−iii−i−iii1-11-1−ii−ii11-1-1−i−iii-11-11i−ii−i1-1−i−iii-11-11i−ii−i−ii1-11-1−ii11-1-1−i−iii-11i−i−ii−ii-11-11i−ii−i-11i−i1-1
χ3111-1-111-11-11-11-1-1−i−iii-111i−i-11-11-11-1−i−iii−i−iii-11-11i−ii−i-1-111ii−i−i-11-11i−ii−i1-1−i−iii1-11-1−ii−iii−i-11-11i−i-1-111ii−i−i-11i−i−ii−ii1-11-1−ii−ii-11i−i1-1
χ3211-1-111-11-11-11-1-1−i−iii-111i−i-11-11-11-1−i−iii−i−iii-11-11−ii−ii-1-111−i−iii-11-11i−ii−i1-1−i−iii1-1-11i−i−iii−i1-1-11−ii11-1-1ii−i−i-11i−ii−ii−i1-1-11−iii−i1-1−ii-11
χ33222222-2-2222222000000200222-2-2-2-20000000022-2-222-2-22222222200000000-2-20000000000000000-2-2-2-2000000000000-2-22200000000000000
χ34222222-2-2222222000000200222-2-2-2-20000000022-2-2-2-2222222-2-2-2-200000000-2-20000000000000000-2-22200000000000022-2-200000000000000
χ35222222-2-2222222000000200222-2-2-2-200000000-2-22222-2-2-2-2-2-2222200000000-2-2000000000000000022-2-200000000000022-2-200000000000000
χ36222222-2-2222222000000200222-2-2-2-200000000-2-222-2-222-2-2-2-2-2-2-2-200000000-2-200000000000000002222000000000000-2-22200000000000000
χ3722222-122-1-122-12222222-122-1-1-1-122-12222-1-1-1-122220000-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1220000222200-1-1000000-1-1-1-1-1-1-1-10000-1-100-1-100000000
χ3822222-122-1-122-12222222-122-1-1-1-122-12222-1-1-1-1-2-2-2-200001111000022-1-122-1-1-1-1-1-1-1-1-2-20000-2-2-2-200110000001111-1-1-1-1000011001100000000
χ3922222-122-1-122-122222-2-2-1-2-2-1-1-1-122-12222-1-1-1-122220000-1-1-1-10000-2-211-2-211-1-1-1-1-1-1-2-20000-2-22200-1-1000000-1-1-1-11111000011001100000000
χ4022222-122-1-122-122222-2-2-1-2-2-1-1-1-122-12222-1-1-1-1-2-2-2-2000011110000-2-211-2-211-1-1-1-1-1-122000022-2-20011000000111111110000-1-100-1-100000000
χ4122222-122-1-122-12-2-2-2-222-1-2-2-1-1-1-122-1-2-2-2-2111122220000-1-1-1-1000022-1-1-2-211-1-11111220000-2-2-2-200-1-10000001111-1-1110000-1-1001100000000
χ4222222-122-1-122-12-2-2-2-222-1-2-2-1-1-1-122-1-2-2-2-21111-2-2-2-200001111000022-1-1-2-211-1-11111-2-2000022220011000000-1-1-1-1-1-11100001100-1-100000000
χ4322222-122-1-122-12-2-2-2-2-2-2-122-1-1-1-122-1-2-2-2-2111122220000-1-1-1-10000-2-21122-1-1-1-11111-2-2000022-2-200-1-1000000111111-1-100001100-1-100000000
χ4422222-122-1-122-12-2-2-2-2-2-2-122-1-1-1-122-1-2-2-2-21111-2-2-2-2000011110000-2-21122-1-1-1-11111220000-2-2220011000000-1-1-1-111-1-10000-1-1001100000000
χ452222-122222-1-12-1222222-122-1-1-12-1-12-1-1-1-12222000022220000-1-1-1-1-1-122-1-122-1-1-1-1-1-100222200002200-1-1-1-1-1-10000-1-1-1-1000000-1-100-1-1000000
χ462222-122222-1-12-1222222-122-1-1-12-1-12-1-1-1-122220000-2-2-2-200001111-1-122-1-122-1-1-1-1-1-100-2-2-2-20000-2-2001111110000-1-1-1-1000000110011000000
χ472222-122222-1-12-12222-2-2-1-2-2-1-1-12-1-12-1-1-1-12222000022220000-1-1-1-111-2-211-2-2-1-1-1-1-1-100-2-2-2-200002200-1-1-1-1-1-100001111000000110011000000
χ482222-122222-1-12-12222-2-2-1-2-2-1-1-12-1-12-1-1-1-122220000-2-2-2-20000111111-2-211-2-2-1-1-1-1-1-10022220000-2-20011111100001111000000-1-100-1-1000000
χ492222-122222-1-12-1-2-2-2-222-1-2-2-1-1-12-1-121111-2-2-2-2000022220000-1-1-1-1-1-12211-2-2-1-1111100-2-2220000-2-200-1-111110000-1-1110000001100-1-1000000
χ502222-122222-1-12-1-2-2-2-222-1-2-2-1-1-12-1-121111-2-2-2-20000-2-2-2-200001111-1-12211-2-2-1-111110022-2-20000220011-1-1-1-10000-1-111000000-1-10011000000
χ512222-122222-1-12-1-2-2-2-2-2-2-122-1-1-12-1-121111-2-2-2-2000022220000-1-1-1-111-2-2-1-122-1-111110022-2-20000-2-200-1-11111000011-1-1000000-1-10011000000
χ522222-122222-1-12-1-2-2-2-2-2-2-122-1-1-12-1-121111-2-2-2-20000-2-2-2-20000111111-2-2-1-122-1-1111100-2-2220000220011-1-1-1-1000011-1-10000001100-1-1000000
χ5322-2-2222-2-22-22-2-2000000200-22-2-22-22000000002-2-222i−2i−2i2i22-2-22i2i−2i−2i00000000-220000000000000000-22−2i2i000000000000−2i2i2i−2i00000000000000
χ5422-2-2222-2-22-22-2-2000000200-22-2-22-22000000002-2-22−2i2i2i−2i22-2-2−2i−2i2i2i00000000-220000000000000000-222i−2i0000000000002i−2i−2i2i00000000000000
χ5522-2-2222-2-22-22-2-2000000200-22-2-22-2200000000-222-22i−2i−2i2i-2-2222i2i−2i−2i00000000-2200000000000000002-2−2i2i0000000000002i−2i−2i2i00000000000000
χ5622-2-2222-2-22-22-2-2000000200-22-2-22-2200000000-222-2−2i2i2i−2i-2-222−2i−2i2i2i00000000-2200000000000000002-22i−2i000000000000−2i2i2i−2i00000000000000
χ5722-2-22-1-221-1-221-22i2i−2i−2i2-2-12i−2i1-11-1-2212i2i−2i−2i−i−iii2-22-20000-1-11100002-2-112i−2i−ii-11−i−iii2-200002i−2i2i−2i00-11000000−i−iii-11−ii0000-1100−ii00000000
χ5822-2-22-1-221-1-221-22i2i−2i−2i2-2-12i−2i1-11-1-2212i2i−2i−2i−i−iii-22-22000011-1-100002-2-112i−2i−ii-11−i−iii-220000−2i2i−2i2i001-1000000ii−i−i-11−ii00001-100i−i00000000
χ5922-2-22-1-221-1-221-22i2i−2i−2i-22-1−2i2i1-11-1-2212i2i−2i−2i−i−iii2-22-20000-1-1110000-221-1−2i2ii−i-11−i−iii-220000−2i2i2i−2i00-11000000−i−iii1-1i−i00001-100i−i00000000
χ6022-2-22-1-221-1-221-22i2i−2i−2i-22-1−2i2i1-11-1-2212i2i−2i−2i−i−iii-22-22000011-1-10000-221-1−2i2ii−i-11−i−iii2-200002i−2i−2i2i001-1000000ii−i−i1-1i−i0000-1100−ii00000000
χ6122-2-22-1-221-1-221-2−2i−2i2i2i2-2-1−2i2i1-11-1-221−2i−2i2i2iii−i−i2-22-20000-1-11100002-2-11−2i2ii−i-11ii−i−i2-20000−2i2i−2i2i00-11000000ii−i−i-11i−i0000-1100i−i00000000
χ6222-2-22-1-221-1-221-2−2i−2i2i2i2-2-1−2i2i1-11-1-221−2i−2i2i2iii−i−i-22-22000011-1-100002-2-11−2i2ii−i-11ii−i−i-2200002i−2i2i−2i001-1000000−i−iii-11i−i00001-100−ii00000000
χ6322-2-22-1-221-1-221-2−2i−2i2i2i-22-12i−2i1-11-1-221−2i−2i2i2iii−i−i2-22-20000-1-1110000-221-12i−2i−ii-11ii−i−i-2200002i−2i−2i2i00-11000000ii−i−i1-1−ii00001-100−ii00000000
χ6422-2-22-1-221-1-221-2−2i−2i2i2i-22-12i−2i1-11-1-221−2i−2i2i2iii−i−i-22-22000011-1-10000-221-12i−2i−ii-11ii−i−i2-20000−2i2i2i−2i001-1000000−i−iii1-1−ii0000-1100i−i00000000
χ6522-2-2-12-22-221-1-212i2i−2i−2i2-2-12i−2i1-1121-1-2−i−iii2i2i−2i−2i00002i−2i2i−2i0000−i−iii-112-2−ii2i−2i-11−i−iii002-22i−2i00002-200−ii-1-1110000-11−ii000000-1100−ii000000
χ6622-2-2-12-22-221-1-212i2i−2i−2i2-2-12i−2i1-1121-1-2−i−iii2i2i−2i−2i0000−2i2i−2i2i0000ii−i−i-112-2−ii2i−2i-11−i−iii00-22−2i2i0000-2200i−i11-1-10000-11−ii0000001-100i−i000000
χ6722-2-2-12-22-221-1-212i2i−2i−2i-22-1−2i2i1-1121-1-2−i−iii2i2i−2i−2i00002i−2i2i−2i0000−i−iii1-1-22i−i−2i2i-11−i−iii00-22−2i2i00002-200−ii-1-11100001-1i−i0000001-100i−i000000
χ6822-2-2-12-22-221-1-212i2i−2i−2i-22-1−2i2i1-1121-1-2−i−iii2i2i−2i−2i0000−2i2i−2i2i0000ii−i−i1-1-22i−i−2i2i-11−i−iii002-22i−2i0000-2200i−i11-1-100001-1i−i000000-1100−ii000000
χ6922-2-2-12-22-221-1-21−2i−2i2i2i2-2-1−2i2i1-1121-1-2ii−i−i−2i−2i2i2i00002i−2i2i−2i0000−i−iii-112-2i−i−2i2i-11ii−i−i00-222i−2i0000-2200−ii11-1-10000-11i−i0000001-100−ii000000
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Here i is the imaginary unit (i² = −1).