Finite Group Databasebeta

← Group #11861212

Character table — Group #11861212

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222444444444444444444666666666666666688888888888888881212121212121212121212121212121212121212161616161818181824242424242424242424363636363636
order124423346612121212234446668812121212121212122244888888882424242466612121212121212121224242424224444668888121224242424242461224248888661212121224242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111111111111111-11-11-1-1-1-1-1-111-1-11111111111-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1111-1-11-1-1-1-111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1111111-1-1-1-111-1-11111-11-11-1-1-1-111-1-111-1-1
χ611111111111111111-1-1111-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111111111111-1-1111-1-11-1-1-1-1111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111
χ811111111111111111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1111111-1-111111-11-11111-1-1-1-111-1-1
χ911111111111111-11-111111-1-1111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ1011111111111111-11-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-11-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1
χ1111111111111111-11-111111-1-111111111-1-1-1-1111111111111-1-11-1-11111111-1-1-1-11-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1
χ1211111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
χ1311111111111111-11-1-1-1111111-1-1-1-111111111111-1-1-1-11111-1-11-1-11-1-1-1-1-1-11111-11-11-1-11111-1-11111-1-1-1-1-1-11111111-11-1-1-111-1-111-1-1-1-1
χ1411111111111111-11-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ1511111111111111-11-1-1-1111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-11-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111
χ1611111111111111-11-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-111111-11-111-1-1-1-111-1-1-1-11111-1-1111111-11-1111-1-11111-1-1-1-1
χ1711-1-1-111111-1-1-1-111-1i−i-11-1i−i1ii−i−i-1-111-11-1ii−i−i11-1-1ii−i−i11-1-1-11i−iii−i−ii−ii−i11-1-1i−i1-1i−ii−i1-1i−i11-1-11-1i−iii−i−i11-1-1i−ii−ii−i1-1i−i1-1
χ1811-1-1-111111-1-1-1-111-1i−i-11-1i−i1ii−i−i-1-111-11-1−i−iii-1-111−i−iii11-1-1-11i−iii−i−ii−ii−i1-1-11i−i1-1i−i−ii1-1−ii-1-1111-1i−i−i−iii-111-1i−ii−i−ii-11−ii-11
χ1911-1-1-111111-1-1-1-111-1i−i-11-1i−i1ii−i−i-1-11-11-11ii−i−i11-1-1ii−i−i11-1-1-11i−iii−i−ii−ii−i-111-1−ii-11−iii−i-11i−i11-1-11-1i−i−i−iii1-1-11−ii−iii−i-11−ii-11
χ2011-1-1-111111-1-1-1-111-1i−i-11-1i−i1ii−i−i-1-11-11-11−i−iii-1-111−i−iii11-1-1-11i−iii−i−ii−ii−i-1-111−ii-11−ii−ii-11−ii-1-1111-1i−iii−i−i-1-111−ii−ii−ii1-1i−i1-1
χ2111-1-1-111111-1-1-1-111-1−ii-11-1−ii1−i−iii-1-111-11-1ii−i−i-1-111ii−i−i11-1-1-11−ii−i−iii−ii−ii1-1-11−ii1-1−iii−i1-1i−i-1-1111-1−iiii−i−i-111-1−ii−iii−i-11i−i-11
χ2211-1-1-111111-1-1-1-111-1−ii-11-1−ii1−i−iii-1-111-11-1−i−iii11-1-1−i−iii11-1-1-11−ii−i−iii−ii−ii11-1-1−ii1-1−ii−ii1-1−ii11-1-11-1−ii−i−iii11-1-1−ii−ii−ii1-1−ii1-1
χ2311-1-1-111111-1-1-1-111-1−ii-11-1−ii1−i−iii-1-11-11-11ii−i−i-1-111ii−i−i11-1-1-11−ii−i−iii−ii−ii-1-111i−i-11i−ii−i-11i−i-1-1111-1−ii−i−iii-1-111i−ii−ii−i1-1−ii1-1
χ2411-1-1-111111-1-1-1-111-1−ii-11-1−ii1−i−iii-1-11-11-11−i−iii11-1-1−i−iii11-1-1-11−ii−i−iii−ii−ii-111-1i−i-11i−i−ii-11−ii11-1-11-1−iiii−i−i1-1-11i−ii−i−ii-11i−i-11
χ2511-1-1-111111-1-1-1-1-111i−i-11-1−ii1ii−i−i-1-111-11-1ii−i−i11-1-1ii−i−i-1-1-1111i−iii−i−i−ii−ii-1-111i−i1-1−ii−ii1-1i−i11-1-1-11−iiii−i−i-1-111i−i−ii−ii-11−ii1-1
χ2611-1-1-111111-1-1-1-1-111i−i-11-1−ii1ii−i−i-1-111-11-1−i−iii-1-111−i−iii-1-1-1111i−iii−i−i−ii−ii-111-1i−i1-1−iii−i1-1−ii-1-111-11−ii−i−iii1-1-11i−i−iii−i1-1i−i-11
χ2711-1-1-111111-1-1-1-1-111i−i-11-1−ii1ii−i−i-1-11-11-11ii−i−i11-1-1ii−i−i-1-1-1111i−iii−i−i−ii−ii1-1-11−ii-11i−i−ii-11i−i11-1-1-11−ii−i−iii-111-1−iii−i−ii1-1i−i-11
χ2811-1-1-111111-1-1-1-1-111i−i-11-1−ii1ii−i−i-1-11-11-11−i−iii-1-111−i−iii-1-1-1111i−iii−i−i−ii−ii11-1-1−ii-11i−ii−i-11−ii-1-111-11−iiii−i−i11-1-1−iii−ii−i-11−ii1-1
χ2911-1-1-111111-1-1-1-1-111−ii-11-1i−i1−i−iii-1-111-11-1ii−i−i-1-111ii−i−i-1-1-1111−ii−i−iiii−ii−i-111-1−ii1-1i−i−ii1-1i−i-1-111-11i−iii−i−i1-1-11−iii−i−ii1-1−ii-11
χ3011-1-1-111111-1-1-1-1-111−ii-11-1i−i1−i−iii-1-111-11-1−i−iii11-1-1−i−iii-1-1-1111−ii−i−iiii−ii−i-1-111−ii1-1i−ii−i1-1−ii11-1-1-11i−i−i−iii-1-111−iii−ii−i-11i−i1-1
χ3111-1-1-111111-1-1-1-1-111−ii-11-1i−i1−i−iii-1-11-11-11ii−i−i-1-111ii−i−i-1-1-1111−ii−i−iiii−ii−i11-1-1i−i-11−ii−ii-11i−i-1-111-11i−i−i−iii11-1-1i−i−ii−ii-11i−i1-1
χ3211-1-1-111111-1-1-1-1-111−ii-11-1i−i1−i−iii-1-11-11-11−i−iii11-1-1−i−iii-1-1-1111−ii−i−iiii−ii−i1-1-11i−i-11−iii−i-11−ii11-1-1-11i−iii−i−i-111-1i−i−iii−i1-1−ii-11
χ33222222-122-1-1-1222-12222-1-122-12222-1-1222220000000000002-1-12-1-1-1-1-1-1-1-1-1-122202022-1-12200-1-1000000-1-1-1-100000-10-1-1-1-1-100000000
χ34222222-122-1-1-1222-12222-1-122-12222-1-12-2-2-2-20000000000002-1-12-1-1-1-1-1-1-1-1-1-122-20-20-2-211-2-20011000000-1-1-1-100000101111100000000
χ35222222-122-1-1-1222-12-2-22-1-1-2-2-1-2-2-2-2-1-1222220000000000002-1-12-1-111111111-2-22020-2-2-1-1-2-200-1-1000000-1-11100000-10-1111100000000
χ36222222-122-1-1-1222-12-2-22-1-1-2-2-1-2-2-2-2-1-12-2-2-2-20000000000002-1-12-1-111111111-2-2-20-202211220011000000-1-11100000101-1-1-1-100000000
χ37222222-122-1-1-122-2-1-2222-1-1-2-2-12222-1-122222000000000000-21-1-21-1-1-1-1-1-1-111-2-2-20-2022-1-1-2-200-1-1000000111100000101-1-11100000000
χ38222222-122-1-1-122-2-1-2222-1-1-2-2-12222-1-12-2-2-2-2000000000000-21-1-21-1-1-1-1-1-1-111-2-22020-2-211220011000000111100000-10-111-1-100000000
χ39222222-122-1-1-122-2-1-2-2-22-1-122-1-2-2-2-2-1-122222000000000000-21-1-21-1111111-1-122-20-20-2-2-1-12200-1-100000011-1-10000010111-1-100000000
χ40222222-122-1-1-122-2-1-2-2-22-1-122-1-2-2-2-2-1-12-2-2-2-2000000000000-21-1-21-1111111-1-12220202211-2-2001100000011-1-100000-10-1-1-11100000000
χ4122222-122-1222-1-12-1222-1-12222-1-1-1-1-1-1-1000022222222-1-1-1-1-12-1-12-122-1-1-1-122-1-102020000002200-1-1-1-1-1-1-1-1-1-10000-10-100000-1-1000000
χ4222222-122-1222-1-12-1222-1-12222-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111-12-1-12-122-1-1-1-122-1-10-20-2000000-2-200111111-1-1-1-100001010000011000000
χ4322222-122-1222-1-12-12-2-2-1-12-2-221111-1-1-100002222-2-2-2-2-1-1-1-1-12-1-12-1-2-21111-2-2110-20-20000002200-1-11111-1-111000010100000-1-1000000
χ4422222-122-1222-1-12-12-2-2-1-12-2-221111-1-1-10000-2-2-2-222221111-12-1-12-1-2-21111-2-2110202000000-2-20011-1-1-1-1-1-1110000-10-10000011000000
χ4522222-122-1222-1-1-2-1-222-1-12-2-22-1-1-1-1-1-1-1000022222222-1-1-1-11-2-11-2-122-1-1-1-1-2-2110-20-2000000-2-200-1-1-1-1-1-1111100001010000011000000
χ4622222-122-1222-1-1-2-1-222-1-12-2-22-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-211111-2-11-2-122-1-1-1-1-2-2110202000000220011111111110000-10-100000-1-1000000
χ4722222-122-1222-1-1-2-1-2-2-2-1-122221111-1-1-100002222-2-2-2-2-1-1-1-11-2-11-2-1-2-2111122-1-10202000000-2-200-1-1111111-1-10000-10-10000011000000
χ4822222-122-1222-1-1-2-1-2-2-2-1-122221111-1-1-10000-2-2-2-2222211111-2-11-2-1-2-2111122-1-10-20-2000000220011-1-1-1-111-1-1000010100000-1-1000000
χ492222-222-222222202000-22-200-2000022-22-2-222-22-20000222200-200-200000000000000002-20000-22-2-2000000002-22-20000000000000000
χ502222-222-222222202000-22-200-2000022-22-2-22-22-220000-2-2-2-200-200-200000000000000002-20000-222200000000-22-220000000000000000
χ512222-222-222222202000-22-200-2000022-2-222-22-22-20000222200-200-20000000000000000-2200002-2-2-200000000-22-220000000000000000
χ522222-222-222222202000-22-200-2000022-2-222-2-22-220000-2-2-2-200-200-20000000000000000-2200002-222000000002-22-20000000000000000
χ5322-2-2222-222-2-2-2-20200022200-20000-2-2-222-2-22i−2i−2i2i00002i2i−2i−2i00200-20000000000000000220000-2-2−2i2i000000002i−2i−2i2i0000000000000000
χ5422-2-2222-222-2-2-2-20200022200-20000-2-2-222-2-2−2i2i2i−2i0000−2i−2i2i2i00200-20000000000000000220000-2-22i−2i00000000−2i2i2i−2i0000000000000000
χ5522-2-2222-222-2-2-2-20200022200-20000-2-2-2-2-2222i−2i−2i2i00002i2i−2i−2i00200-20000000000000000-2-2000022−2i2i00000000−2i2i2i−2i0000000000000000
χ5622-2-2222-222-2-2-2-20200022200-20000-2-2-2-2-222−2i2i2i−2i0000−2i−2i2i2i00200-20000000000000000-2-20000222i−2i000000002i−2i−2i2i0000000000000000
χ5722-2-2-22-122-111-2-22-1-22i−2i-2-112i−2i-12i2i−2i−2i1122-22-20000000000002-11-21-1−ii−i−iii−ii2i−2i20-202i−2i-112i−2i00-11000000-11−ii00000-101−ii−ii00000000
χ5822-2-2-22-122-111-2-22-1-22i−2i-2-112i−2i-12i2i−2i−2i112-22-220000000000002-11-21-1−ii−i−iii−ii2i−2i-2020−2i2i1-1−2i2i001-1000000-11−ii0000010-1i−ii−i00000000
χ5922-2-2-22-122-111-2-22-1-2−2i2i-2-11−2i2i-1−2i−2i2i2i1122-22-20000000000002-11-21-1i−iii−i−ii−i−2i2i20-20−2i2i-11−2i2i00-11000000-11i−i00000-101i−ii−i00000000
χ6022-2-2-22-122-111-2-22-1-2−2i2i-2-11−2i2i-1−2i−2i2i2i112-22-220000000000002-11-21-1i−iii−i−ii−i−2i2i-20202i−2i1-12i−2i001-1000000-11i−i0000010-1−ii−ii00000000
χ6122-2-2-22-122-111-2-2-2-122i−2i-2-11−2i2i-12i2i−2i−2i1122-22-2000000000000-2112-1-1−ii−i−iiii−i−2i2i-20202i−2i-11−2i2i00-110000001-1i−i0000010-1−iii−i00000000
χ6222-2-2-22-122-111-2-2-2-122i−2i-2-11−2i2i-12i2i−2i−2i112-22-22000000000000-2112-1-1−ii−i−iiii−i−2i2i20-20−2i2i1-12i−2i001-10000001-1i−i00000-101i−i−ii00000000
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χ6422-2-2-22-122-111-2-2-2-12−2i2i-2-112i−2i-1−2i−2i2i2i112-22-22000000000000-2112-1-1i−iii−i−i−ii2i−2i20-202i−2i1-1−2i2i001-10000001-1−ii00000-101−iii−i00000000
χ6522-2-2-2-122-12-2-2112-1-22i−2i1-1-22i−2i2−i−iii11-100002i2i−2i−2i22-2-2−i−iii-1211-2-12i−2i−i−iii2i−2i−ii020-20000002i−2i00−ii-1-111-11−ii0000-10100000−ii000000
χ6622-2-2-2-122-12-2-2112-1-22i−2i1-1-22i−2i2−i−iii11-10000−2i−2i2i2i-2-222ii−i−i-1211-2-12i−2i−i−iii2i−2i−ii0-202000000−2i2i00i−i11-1-1-11−ii000010-100000i−i000000
χ6722-2-2-2-122-12-2-2112-1-2−2i2i1-1-2−2i2i2ii−i−i11-100002i2i−2i−2i-2-222−i−iii-1211-2-1−2i2iii−i−i−2i2ii−i0-2020000002i−2i00−ii11-1-1-11i−i000010-100000−ii000000
χ6822-2-2-2-122-12-2-2112-1-2−2i2i1-1-2−2i2i2ii−i−i11-10000−2i−2i2i2i22-2-2ii−i−i-1211-2-1−2i2iii−i−i−2i2ii−i020-2000000−2i2i00i−i-1-111-11i−i0000-10100000i−i000000
χ6922-2-2-2-122-12-2-211-2-122i−2i1-1-2−2i2i2−i−iii11-100002i2i−2i−2i22-2-2−i−iii1-21-12-12i−2i−i−iii−2i2ii−i0-202000000−2i2i00−ii-1-1111-1i−i000010-100000i−i000000
χ7022-2-2-2-122-12-2-211-2-122i−2i1-1-2−2i2i2−i−iii11-10000−2i−2i2i2i-2-222ii−i−i1-21-12-12i−2i−i−iii−2i2ii−i020-20000002i−2i00i−i11-1-11-1i−i0000-10100000−ii000000
χ7122-2-2-2-122-12-2-211-2-12−2i2i1-1-22i−2i2ii−i−i11-100002i2i−2i−2i-2-222−i−iii1-21-12-1−2i2iii−i−i2i−2i−ii020-2000000−2i2i00−ii11-1-11-1−ii0000-10100000i−i000000
χ7222-2-2-2-122-12-2-211-2-12−2i2i1-1-22i−2i2ii−i−i11-10000−2i−2i2i2i22-2-2ii−i−i1-21-12-1−2i2iii−i−i2i−2i−ii0-2020000002i−2i00i−i-1-1111-1−ii000010-100000−ii000000
χ7344444-2-24-2-2-2-2-2-241444-21-244-2-2-2-2-211-20000000000000000-2-21-2-21-2-21111-2-2-2-200000000000000000000111100000000000000000000
χ7444444-2-24-2-2-2-2-2-2414-4-4-21-2-4-4-2222211-20000000000000000-2-21-2-2122-1-1-1-122220000000000000000000011-1-100000000000000000000
χ7544444-2-24-2-2-2-2-2-2-41-444-21-2-4-4-2-2-2-2-211-20000000000000000221221-2-21111222200000000000000000000-1-1-1-100000000000000000000
χ7644444-2-24-2-2-2-2-2-2-41-4-4-4-21-244-2222211-2000000000000000022122122-1-1-1-1-2-2-2-200000000000000000000-1-11100000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.