Finite Group Databasebeta

← Group #13166825

Character table — Group #13166825

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order12223346666661212121222222222444466661212121244444366633126666661212121266666666121212126666121212121212121212366633126666661212121266666666121212126666121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-111111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-111111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1
χ6111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-20000
χ10222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-22202-2-2-22-2000022-2-20000002i−2i0000002i−2i0000022-2-22202-2-2-22-2000022-2-20000002i−2i0000002i−2i0000022-2-22202-2-2-22-2000022-2-20000002i−2i0000002i−2i00000
χ1222-2-22202-2-2-22-2000022-2-2000000−2i2i000000−2i2i0000022-2-22202-2-2-22-2000022-2-2000000−2i2i000000−2i2i0000022-2-22202-2-2-22-2000022-2-2000000−2i2i000000−2i2i00000
χ1322-2-22202-2-2-22-20000-2-222002-20000002-200000000022-2-22202-2-2-22-20000-2-222002-20000002-200000000022-2-22202-2-2-22-20000-2-222002-20000002-2000000000
χ1422-2-22202-2-2-22-20000-2-22200-22000000-2200000000022-2-22202-2-2-22-20000-2-22200-22000000-2200000000022-2-22202-2-2-22-20000-2-22200-22000000-22000000000
χ152-22-2220-22-2-2-2200002-22-200002i−2i0000002i−2i00000002-22-2220-22-2-2-2200002-22-200002i−2i0000002i−2i00000002-22-2220-22-2-2-2200002-22-200002i−2i0000002i−2i0000000
χ162-22-2220-22-2-2-2200002-22-20000−2i2i000000−2i2i00000002-22-2220-22-2-2-2200002-22-20000−2i2i000000−2i2i00000002-22-2220-22-2-2-2200002-22-20000−2i2i000000−2i2i0000000
χ172-22-2220-22-2-2-220000-22-222-20000002-2000000000002-22-2220-22-2-2-220000-22-222-20000002-2000000000002-22-2220-22-2-2-220000-22-222-20000002-200000000000
χ182-22-2220-22-2-2-220000-22-22-22000000-22000000000002-22-2220-22-2-2-220000-22-22-22000000-22000000000002-22-2220-22-2-2-220000-22-22-22000000-2200000000000
χ192-2-22220-2-222-2-200002-2-22000000000000000002-2002-2-22220-2-222-2-200002-2-22000000000000000002-2002-2-22220-2-222-2-200002-2-22000000000000000002-200
χ202-2-22220-2-222-2-200002-2-2200000000000000000-22002-2-22220-2-222-2-200002-2-2200000000000000000-22002-2-22220-2-222-2-200002-2-2200000000000000000-2200
χ212-2-22220-2-222-2-20000-222-200000000000000000002i−2i2-2-22220-2-222-2-20000-222-200000000000000000002i−2i2-2-22220-2-222-2-20000-222-200000000000000000002i−2i
χ222-2-22220-2-222-2-20000-222-20000000000000000000−2i2i2-2-22220-2-222-2-20000-222-20000000000000000000−2i2i2-2-22220-2-222-2-20000-222-20000000000000000000−2i2i
χ2344441-241-21-2-2111-2-200000022002200-1-100-1-10000044441-241-21-2-2111-2-200000022002200-1-100-1-10000044441-241-21-2-2111-2-200000022002200-1-100-1-100000
χ2444441-241-21-2-2111-2-2000000-2-200-2-2001100110000044441-241-21-2-2111-2-2000000-2-200-2-2001100110000044441-241-21-2-2111-2-2000000-2-200-2-20011001100000
χ2544441-2-41-21-2-21-1-1220000002200-2-200-1-100110000044441-2-41-21-2-21-1-1220000002200-2-200-1-100110000044441-2-41-21-2-21-1-1220000002200-2-200-1-1001100000
χ2644441-2-41-21-2-21-1-122000000-2-20022001100-1-10000044441-2-41-21-2-21-1-122000000-2-20022001100-1-10000044441-2-41-21-2-21-1-122000000-2-20022001100-1-100000
χ274444-214-21-211-2-2-211000022002200-1-100-1-100000004444-214-21-211-2-2-211000022002200-1-100-1-100000004444-214-21-211-2-2-211000022002200-1-100-1-10000000
χ284444-214-21-211-2-2-2110000-2-200-2-20011001100000004444-214-21-211-2-2-2110000-2-200-2-20011001100000004444-214-21-211-2-2-2110000-2-200-2-2001100110000000
χ294444-21-4-21-211-222-1-100002200-2-200-1-1001100000004444-21-4-21-211-222-1-100002200-2-200-1-1001100000004444-21-4-21-211-222-1-100002200-2-200-1-100110000000
χ304444-21-4-21-211-222-1-10000-2-20022001100-1-100000004444-21-4-21-211-222-1-10000-2-20022001100-1-100000004444-21-4-21-211-222-1-10000-2-20022001100-1-10000000
χ3144-4-41-2012-12-2-13i−3i000000002-2002i−2i00-1100−ii0000044-4-41-2012-12-2-13i−3i000000002-2002i−2i00-1100−ii0000044-4-41-2012-12-2-13i−3i000000002-2002i−2i00-1100−ii00000
χ3244-4-41-2012-12-2-13i−3i00000000-2200−2i2i001-100i−i0000044-4-41-2012-12-2-13i−3i00000000-2200−2i2i001-100i−i0000044-4-41-2012-12-2-13i−3i00000000-2200−2i2i001-100i−i00000
χ3344-4-41-2012-12-2-1−3i3i000000002-200−2i2i00-1100i−i0000044-4-41-2012-12-2-1−3i3i000000002-200−2i2i00-1100i−i0000044-4-41-2012-12-2-1−3i3i000000002-200−2i2i00-1100i−i00000
χ3444-4-41-2012-12-2-1−3i3i00000000-22002i−2i001-100−ii0000044-4-41-2012-12-2-1−3i3i00000000-22002i−2i001-100−ii0000044-4-41-2012-12-2-1−3i3i00000000-22002i−2i001-100−ii00000
χ354-44-4-210212-1-1-2003i−3i00002-2002i−2i00-1100−ii00000004-44-4-210212-1-1-2003i−3i00002-2002i−2i00-1100−ii00000004-44-4-210212-1-1-2003i−3i00002-2002i−2i00-1100−ii0000000
χ364-44-4-210212-1-1-2003i−3i0000-2200−2i2i001-100i−i00000004-44-4-210212-1-1-2003i−3i0000-2200−2i2i001-100i−i00000004-44-4-210212-1-1-2003i−3i0000-2200−2i2i001-100i−i0000000
χ374-44-4-210212-1-1-200−3i3i00002-200−2i2i00-1100i−i00000004-44-4-210212-1-1-200−3i3i00002-200−2i2i00-1100i−i00000004-44-4-210212-1-1-200−3i3i00002-200−2i2i00-1100i−i0000000
χ384-44-4-210212-1-1-200−3i3i0000-22002i−2i001-100−ii00000004-44-4-210212-1-1-200−3i3i0000-22002i−2i001-100−ii00000004-44-4-210212-1-1-200−3i3i0000-22002i−2i001-100−ii0000000
χ3988-8-8-420-4-24-2240000000000000000000000000000088-8-8-420-4-24-2240000000000000000000000000000088-8-8-420-4-24-22400000000000000000000000000000
χ408-88-82-40-2-4-2442000000000000000000000000000008-88-82-40-2-4-2442000000000000000000000000000008-88-82-40-2-4-244200000000000000000000000000000
χ418-8-882-40-242-44-2000000000000000000000000000008-8-882-40-242-44-2000000000000000000000000000008-8-882-40-242-44-200000000000000000000000000000
χ428-8-88-4204-2-42-24000000000000000000000000000008-8-88-4204-2-42-24000000000000000000000000000008-8-88-4204-2-42-2400000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+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−i32−1−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
χ4411111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-1−1+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ45111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1−1+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+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−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+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ46111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ47111111-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ48111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−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+i321+i32−1−i32−1−i32
χ49111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ50111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ5122222222222222222-2-2-2-20000000000000000-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000001−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000001+i30000
χ52222222-2222222-2-2-2-2-2-2-2-2000000000000000020000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i30000000000000000−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i30000000000000000−1−i30000
χ5322-2-22202-2-2-22-2000022-2-20000002i−2i0000002i−2i00000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i30000−1+i3−1+i31−i31−i30000002ζ7−2ζ70000002ζ7−2ζ700000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i30000−1−i3−1−i31+i31+i30000002ζ11−2ζ110000002ζ11−2ζ1100000
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χ89111111-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
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χ11544-4-41-2012-12-2-13i−3i000000002-2002i−2i00-1100−ii00000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i32−1−i31+i32−1−i31+i31+i323ζ11−3ζ1100000000−1−i31+i3002ζ11−2ζ11001+i32−1−i3200−ζ11ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i32−1+i31−i32−1+i31−i31−i323ζ7−3ζ700000000−1+i31−i3002ζ7−2ζ7001−i32−1+i3200−ζ7ζ700000
χ11644-4-41-2012-12-2-13i−3i00000000-2200−2i2i001-100i−i00000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i32−1−i31+i32−1−i31+i31+i323ζ11−3ζ11000000001+i3−1−i300−2ζ112ζ1100−1−i321+i3200ζ11−ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i32−1+i31−i32−1+i31−i31−i323ζ7−3ζ7000000001−i3−1+i300−2ζ72ζ700−1+i321−i3200ζ7−ζ700000
χ11744-4-41-2012-12-2-1−3i3i000000002-200−2i2i00-1100i−i00000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i32−1−i31+i32−1−i31+i31+i32−3ζ113ζ1100000000−1−i31+i300−2ζ112ζ11001+i32−1−i3200ζ11−ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i32−1+i31−i32−1+i31−i31−i32−3ζ73ζ700000000−1+i31−i300−2ζ72ζ7001−i32−1+i3200ζ7−ζ700000
χ11844-4-41-2012-12-2-1−3i3i00000000-22002i−2i001-100−ii00000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i32−1−i31+i32−1−i31+i31+i32−3ζ113ζ11000000001+i3−1−i3002ζ11−2ζ1100−1−i321+i3200−ζ11ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i32−1+i31−i32−1+i31−i31−i32−3ζ73ζ7000000001−i3−1+i3002ζ7−2ζ700−1+i321−i3200−ζ7ζ700000
χ1194-44-4-210212-1-1-2003i−3i00002-2002i−2i00-1100−ii0000000−2−2i32+2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i32−1−i31+i321+i321+i3003ζ11−3ζ110000−1−i31+i3002ζ11−2ζ11001+i32−1−i3200−ζ11ζ110000000−2+2i32−2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i32−1+i31−i321−i321−i3003ζ7−3ζ70000−1+i31−i3002ζ7−2ζ7001−i32−1+i3200−ζ7ζ70000000
χ1204-44-4-210212-1-1-2003i−3i0000-2200−2i2i001-100i−i0000000−2−2i32+2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i32−1−i31+i321+i321+i3003ζ11−3ζ1100001+i3−1−i300−2ζ112ζ1100−1−i321+i3200ζ11−ζ110000000−2+2i32−2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i32−1+i31−i321−i321−i3003ζ7−3ζ700001−i3−1+i300−2ζ72ζ700−1+i321−i3200ζ7−ζ70000000
χ1214-44-4-210212-1-1-200−3i3i00002-200−2i2i00-1100i−i0000000−2−2i32+2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i32−1−i31+i321+i321+i300−3ζ113ζ110000−1−i31+i300−2ζ112ζ11001+i32−1−i3200ζ11−ζ110000000−2+2i32−2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i32−1+i31−i321−i321−i300−3ζ73ζ70000−1+i31−i300−2ζ72ζ7001−i32−1+i3200ζ7−ζ70000000
χ1224-44-4-210212-1-1-200−3i3i0000-22002i−2i001-100−ii0000000−2−2i32+2i3−2−2i32+2i31+i3−1−i320−1−i3−1−i32−1−i31+i321+i321+i300−3ζ113ζ1100001+i3−1−i3002ζ11−2ζ1100−1−i321+i3200−ζ11ζ110000000−2+2i32−2i3−2+2i32−2i31−i3−1+i320−1+i3−1+i32−1+i31−i321−i321−i300−3ζ73ζ700001−i3−1+i3002ζ7−2ζ700−1+i321−i3200−ζ7ζ70000000
χ12388-8-8-420-4-24-22400000000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i3−1−i302+2i31+i3−2−2i31+i3−1−i3−2−2i300000000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i3−1+i302−2i31−i3−2+2i31−i3−1+i3−2+2i300000000000000000000000000000
χ1248-88-82-40-2-4-244200000000000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i301+i32+2i31+i3−2−2i3−2−2i3−1−i300000000000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i301−i32−2i31−i3−2+2i3−2+2i3−1+i300000000000000000000000000000
χ1258-8-882-40-242-44-200000000000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i3−2−2i3−1−i32+2i3−2−2i31+i300000000000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i3−2+2i3−1+i32−2i3−2+2i31−i300000000000000000000000000000
χ1268-8-88-4204-2-42-2400000000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−1−i30−2−2i31+i32+2i3−1−i31+i3−2−2i300000000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−1+i30−2+2i31−i32−2i3−1+i31−i3−2+2i300000000000000000000000000000

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