Finite Group Databasebeta

← Group #72231368

Character table — Group #72231368

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11444455558888202020202525252525252525252533121212121515151524242424606060607575757575757575757544161616162020202032323232808080801001001001001001001001001001004416161616202020203232323280808080100100100100100100100100100100
order125510104444551010202020202244444444221010101044441010101020202020224444444436151530301212121215153030606060606612121212121212123615153030121212121515303060606060661212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ311111111-1-1111111-1-1-1-1iiii−i−i−i−i11111111-1-1111111-1-1-1-1iiii−i−i−i−i11111111-1-1111111-1-1-1-1iiii−i−i−i−i11111111-1-1111111-1-1-1-1iiii−i−i−i−i
χ411111111-1-1111111-1-1-1-1−i−i−i−iiiii11111111-1-1111111-1-1-1-1−i−i−i−iiiii11111111-1-1111111-1-1-1-1−i−i−i−iiiii11111111-1-1111111-1-1-1-1−i−i−i−iiiii
χ5111111-1-1111111-1-111-1-1ii−i−iii−i−i111111-1-1111111-1-111-1-1ii−i−iii−i−i111111-1-1111111-1-111-1-1ii−i−iii−i−i111111-1-1111111-1-111-1-1ii−i−iii−i−i
χ6111111-1-1111111-1-111-1-1−i−iii−i−iii111111-1-1111111-1-111-1-1−i−iii−i−iii111111-1-1111111-1-111-1-1−i−iii−i−iii111111-1-1111111-1-111-1-1−i−iii−i−iii
χ7111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ91-111-1-1i−ii−i11-1-1i−ii−i1-11-1i−ii−i1-11-111-1-1i−ii−i11-1-1i−ii−i1-11-1i−ii−i1-11-111-1-1i−ii−i11-1-1i−ii−i1-11-1i−ii−i1-11-111-1-1i−ii−i11-1-1i−ii−i1-11-1i−ii−i1-1
χ101-111-1-1i−ii−i11-1-1i−ii−i1-1-11−ii−ii-111-111-1-1i−ii−i11-1-1i−ii−i1-1-11−ii−ii-111-111-1-1i−ii−i11-1-1i−ii−i1-1-11−ii−ii-111-111-1-1i−ii−i11-1-1i−ii−i1-1-11−ii−ii-11
χ111-111-1-1i−i−ii11-1-1i−i−ii-11i−i-111-1−ii1-111-1-1i−i−ii11-1-1i−i−ii-11i−i-111-1−ii1-111-1-1i−i−ii11-1-1i−i−ii-11i−i-111-1−ii1-111-1-1i−i−ii11-1-1i−i−ii-11i−i-111-1−ii
χ121-111-1-1i−i−ii11-1-1i−i−ii-11−ii1-1-11i−i1-111-1-1i−i−ii11-1-1i−i−ii-11−ii1-1-11i−i1-111-1-1i−i−ii11-1-1i−i−ii-11−ii1-1-11i−i1-111-1-1i−i−ii11-1-1i−i−ii-11−ii1-1-11i−i
χ131-111-1-1−iii−i11-1-1−iii−i-11i−i1-1-11−ii1-111-1-1−iii−i11-1-1−iii−i-11i−i1-1-11−ii1-111-1-1−iii−i11-1-1−iii−i-11i−i1-1-11−ii1-111-1-1−iii−i11-1-1−iii−i-11i−i1-1-11−ii
χ141-111-1-1−iii−i11-1-1−iii−i-11−ii-111-1i−i1-111-1-1−iii−i11-1-1−iii−i-11−ii-111-1i−i1-111-1-1−iii−i11-1-1−iii−i-11−ii-111-1i−i1-111-1-1−iii−i11-1-1−iii−i-11−ii-111-1i−i
χ151-111-1-1−ii−ii11-1-1−ii−ii1-11-1−ii−ii1-11-111-1-1−ii−ii11-1-1−ii−ii1-11-1−ii−ii1-11-111-1-1−ii−ii11-1-1−ii−ii1-11-1−ii−ii1-11-111-1-1−ii−ii11-1-1−ii−ii1-11-1−ii−ii1-1
χ161-111-1-1−ii−ii11-1-1−ii−ii1-1-11i−ii−i-111-111-1-1−ii−ii11-1-1−ii−ii1-1-11i−ii−i-111-111-1-1−ii−ii11-1-1−ii−ii1-1-11i−ii−i-111-111-1-1−ii−ii11-1-1−ii−ii1-1-11i−ii−i-11
χ17444-14-10044-1-1-1-100-1-10000000000444-14-10044-1-1-1-100-1-10000000000444-14-10044-1-1-1-100-1-10000000000444-14-10044-1-1-1-100-1-10000000000
χ18444-14-100-4-4-1-1-1-100110000000000444-14-100-4-4-1-1-1-100110000000000444-14-100-4-4-1-1-1-100110000000000444-14-100-4-4-1-1-1-100110000000000
χ1944-14-144400-1-1-1-1-1-100000000000044-14-144400-1-1-1-1-1-100000000000044-14-144400-1-1-1-1-1-100000000000044-14-144400-1-1-1-1-1-1000000000000
χ2044-14-14-4-400-1-1-1-11100000000000044-14-14-4-400-1-1-1-11100000000000044-14-14-4-400-1-1-1-11100000000000044-14-14-4-400-1-1-1-111000000000000
χ214-44-1-41004i−4i-1-11100−ii00000000004-44-1-41004i−4i-1-11100−ii00000000004-44-1-41004i−4i-1-11100−ii00000000004-44-1-41004i−4i-1-11100−ii0000000000
χ224-44-1-4100−4i4i-1-11100i−i00000000004-44-1-4100−4i4i-1-11100i−i00000000004-44-1-4100−4i4i-1-11100i−i00000000004-44-1-4100−4i4i-1-11100i−i0000000000
χ234-4-141-44i−4i00-1-111−ii0000000000004-4-141-44i−4i00-1-111−ii0000000000004-4-141-44i−4i00-1-111−ii0000000000004-4-141-44i−4i00-1-111−ii000000000000
χ244-4-141-4−4i4i00-1-111i−i0000000000004-4-141-4−4i4i00-1-111i−i0000000000004-4-141-4−4i4i00-1-111i−i0000000000004-4-141-4−4i4i00-1-111i−i000000000000
χ2588-2-2-2-200003-23-20000000000000088-2-2-2-200003-23-20000000000000088-2-2-2-200003-23-20000000000000088-2-2-2-200003-23-200000000000000
χ2688-2-2-2-20000-23-230000000000000088-2-2-2-20000-23-230000000000000088-2-2-2-20000-23-230000000000000088-2-2-2-20000-23-2300000000000000
χ278-8-2-22200003-2-32000000000000008-8-2-22200003-2-32000000000000008-8-2-22200003-2-32000000000000008-8-2-22200003-2-3200000000000000
χ288-8-2-2220000-232-3000000000000008-8-2-2220000-232-3000000000000008-8-2-2220000-232-3000000000000008-8-2-2220000-232-300000000000000
χ2911111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3011111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3111111111-1-1111111-1-1-1-1iiii−i−i−i−i11111111-1-1111111-1-1-1-1iiii−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11
χ3211111111-1-1111111-1-1-1-1−i−i−i−iiiii11111111-1-1111111-1-1-1-1−i−i−i−iiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11
χ33111111-1-1111111-1-111-1-1ii−i−iii−i−i111111-1-1111111-1-111-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ34111111-1-1111111-1-111-1-1−i−iii−i−iii111111-1-1111111-1-111-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ35111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ36111111-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ371-111-1-1i−ii−i11-1-1i−ii−i1-11-1i−ii−i1-11-111-1-1i−ii−i11-1-1i−ii−i1-11-1i−ii−i1-1−1+i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32
χ381-111-1-1i−ii−i11-1-1i−ii−i1-1-11−ii−ii-111-111-1-1i−ii−i11-1-1i−ii−i1-1-11−ii−ii-11−1+i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ71−i32−1+i32−1−i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ111+i32−1−i32
χ391-111-1-1i−i−ii11-1-1i−i−ii-11i−i-111-1−ii1-111-1-1i−i−ii11-1-1i−i−ii-11i−i-111-1−ii−1+i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7−1−i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11
χ401-111-1-1i−i−ii11-1-1i−i−ii-11−ii1-1-11i−i1-111-1-1i−i−ii11-1-1i−i−ii-11−ii1-1-11i−i−1+i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ71−i32−1+i32−ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−1−i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ111+i32−1−i32−ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11
χ411-111-1-1−iii−i11-1-1−iii−i-11i−i1-1-11−ii1-111-1-1−iii−i11-1-1−iii−i-11i−i1-1-11−ii−1+i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ71−i32−1+i32ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−1−i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ111+i32−1−i32ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11
χ421-111-1-1−iii−i11-1-1−iii−i-11−ii-111-1i−i1-111-1-1−iii−i11-1-1−iii−i-11−ii-111-1i−i−1+i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−1−i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11
χ431-111-1-1−ii−ii11-1-1−ii−ii1-11-1−ii−ii1-11-111-1-1−ii−ii11-1-1−ii−ii1-11-1−ii−ii1-1−1+i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32
χ441-111-1-1−ii−ii11-1-1−ii−ii1-1-11i−ii−i-111-111-1-1−ii−ii11-1-1−ii−ii1-1-11i−ii−i-11−1+i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i32−1+i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i32−1−i32
χ45444-14-10044-1-1-1-100-1-10000000000444-14-10044-1-1-1-100-1-10000000000−2+2i3−2+2i3−2+2i31−i32−2+2i31−i3200−2+2i3−2+2i31−i321−i321−i321−i32001−i321−i320000000000−2−2i3−2−2i3−2−2i31+i32−2−2i31+i3200−2−2i3−2−2i31+i321+i321+i321+i32001+i321+i320000000000
χ46444-14-100-4-4-1-1-1-100110000000000444-14-100-4-4-1-1-1-100110000000000−2+2i3−2+2i3−2+2i31−i32−2+2i31−i32002−2i32−2i31−i321−i321−i321−i3200−1+i32−1+i320000000000−2−2i3−2−2i3−2−2i31+i32−2−2i31+i32002+2i32+2i31+i321+i321+i321+i3200−1−i32−1−i320000000000
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χ92333333-3-3-3-33333-3-3-3-333-3-33333-3-3-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11100000000000000000000000000000000000000000000000000000000
χ933-333-3-33i−3i3i−3i33-3-33i−3i3i−3i3-33-33i−3i3i−3i3-3-11-1-111−ii−ii-1-111−ii−ii-11-11−ii−ii-1100000000000000000000000000000000000000000000000000000000
χ943-333-3-33i−3i3i−3i33-3-33i−3i3i−3i3-3-33−3i3i−3i3i-33-11-1-111−ii−ii-1-111−ii−ii-111-1i−ii−i1-100000000000000000000000000000000000000000000000000000000
χ953-333-3-33i−3i−3i3i33-3-33i−3i−3i3i-333i−3i-333-3−3i3i-11-1-111−iii−i-1-111−iii−i1-1−ii1-1-11i−i00000000000000000000000000000000000000000000000000000000
χ963-333-3-33i−3i−3i3i33-3-33i−3i−3i3i-33−3i3i3-3-333i−3i-11-1-111−iii−i-1-111−iii−i1-1i−i-111-1−ii00000000000000000000000000000000000000000000000000000000
χ973-333-3-3−3i3i3i−3i33-3-3−3i3i3i−3i-333i−3i3-3-33−3i3i-11-1-111i−i−ii-1-111i−i−ii1-1−ii-111-1i−i00000000000000000000000000000000000000000000000000000000
χ983-333-3-3−3i3i3i−3i33-3-3−3i3i3i−3i-33−3i3i-333-33i−3i-11-1-111i−i−ii-1-111i−i−ii1-1i−i1-1-11−ii00000000000000000000000000000000000000000000000000000000
χ993-333-3-3−3i3i−3i3i33-3-3−3i3i−3i3i3-33-3−3i3i−3i3i3-3-11-1-111i−ii−i-1-111i−ii−i-11-11i−ii−i-1100000000000000000000000000000000000000000000000000000000
χ1003-333-3-3−3i3i−3i3i33-3-3−3i3i−3i3i3-3-333i−3i3i−3i-33-11-1-111i−ii−i-1-111i−ii−i-111-1−ii−ii1-100000000000000000000000000000000000000000000000000000000
χ101121212-312-3001212-3-3-3-300-3-30000000000-4-4-41-4100-4-411110011000000000000000000000000000000000000000000000000000000000000000000
χ102121212-312-300-12-12-3-3-3-300330000000000-4-4-41-410044111100-1-1000000000000000000000000000000000000000000000000000000000000000000
χ1031212-312-312121200-3-3-3-3-3-3000000000000-4-41-41-4-4-40011111100000000000000000000000000000000000000000000000000000000000000000000
χ1041212-312-312-12-1200-3-3-3-333000000000000-4-41-41-444001111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ10512-1212-3-1230012i−12i-3-33300−3i3i0000000000-44-414-100−4i4i11-1-100i−i000000000000000000000000000000000000000000000000000000000000000000
χ10612-1212-3-12300−12i12i-3-333003i−3i0000000000-44-414-1004i−4i11-1-100−ii000000000000000000000000000000000000000000000000000000000000000000
χ10712-12-3123-1212i−12i00-3-333−3i3i000000000000-441-4-14−4i4i0011-1-1i−i00000000000000000000000000000000000000000000000000000000000000000000
χ10812-12-3123-12−12i12i00-3-3333i−3i000000000000-441-4-144i−4i0011-1-1−ii00000000000000000000000000000000000000000000000000000000000000000000
χ1092424-6-6-6-600009-69-600000000000000-8-822220000-32-320000000000000000000000000000000000000000000000000000000000000000000000
χ1102424-6-6-6-60000-69-6900000000000000-8-8222200002-32-30000000000000000000000000000000000000000000000000000000000000000000000
χ11124-24-6-66600009-6-9600000000000000-8822-2-20000-323-20000000000000000000000000000000000000000000000000000000000000000000000
χ11224-24-6-6660000-696-900000000000000-8822-2-200002-3-230000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.