Finite Group Databasebeta

← Group #13164409

Character table — Group #13164409

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222223333666666661212121212122424242424242424242424243636363636363636363636361122222333366666666121212121212242424242424242424242424363636363636363636363636
order1223666336644661212121212121212121299918181818181818181824668812122424242422266666666446612121212121212121212181818181818181818181818246688121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ41111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i321111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ51111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ61111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i321111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ711-11-1-111111-11-1-1-1-1111-11-11-11111-1-11-1-11-1-11-1111-1-1-11-11-111-11-1-111111-11-1-1-1-1111-11-11-11111-1-11-1-11-1-11-1111-1-1-11-11-1
χ811-11-1-111111-11-1-1-1-1111-11-11-11111-1-11-1-11-1-1-11-1-1-1111-11-1111-11-1-111111-11-1-1-1-1111-11-11-11111-1-11-1-11-1-1-11-1-1-1111-11-11
χ911-11-1-11−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32
χ1011-11-1-11−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32
χ1111-11-1-11−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i3211-11-1-11−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32
χ1211-11-1-11−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32
χ132222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ142222222−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i320000000000002222222−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000
χ152222222−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i320000000000002222222−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000
χ1622-22-2-222222-22-2-2-2-2222-22-22-2-1-1-1-111-111-11100000000000022-22-2-222222-22-2-2-2-2222-22-22-2-1-1-1-111-111-111000000000000
χ1722-22-2-22−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i32-2−1+i31−i3−1−i31+i3-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i3200000000000022-22-2-22−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i32-2−1+i31−i3−1−i31+i3-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32000000000000
χ1822-22-2-22−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i32-2−1−i31+i3−1+i31−i3-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i3200000000000022-22-2-22−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i32-2−1−i31+i3−1+i31−i3-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32000000000000
χ1933333333333-1-133-1-1-1-1-1-1-1-1-1-10000000000001111-1-111-1-1-1-133333333333-1-133-1-1-1-1-1-1-1-1-1-10000000000001111-1-111-1-1-1-1
χ2033333333333-1-133-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-111-1-1111133333333333-1-133-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-111-1-11111
χ213333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1−3+3i32−3−3i321−i321+i321−i321+i32-1-11−i321−i321+i321+i3200000000000011−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i323333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1−3+3i32−3−3i321−i321+i321−i321+i32-1-11−i321−i321+i321+i3200000000000011−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ223333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1−3+3i32−3−3i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32000000000000-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i323333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1−3+3i32−3−3i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32000000000000-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ233333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1−3−3i32−3+3i321+i321−i321+i321−i32-1-11+i321+i321−i321−i3200000000000011−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i323333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1−3−3i32−3+3i321+i321−i321+i321−i32-1-11+i321+i321−i321−i3200000000000011−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ243333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1−3−3i32−3+3i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32000000000000-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i323333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1−3−3i32−3+3i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32000000000000-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ2533-33-3-3333331-1-3-311-1-1-11-11-110000000000001-111-11-1-1-11-1133-33-3-3333331-1-3-311-1-1-11-11-110000000000001-111-11-1-1-11-11
χ2633-33-3-3333331-1-3-311-1-1-11-11-11000000000000-11-1-11-1111-11-133-33-3-3333331-1-3-311-1-1-11-11-11000000000000-11-1-11-1111-11-1
χ2733-33-3-33−3+3i32−3−3i32−3+3i32−3−3i321-13−3i323+3i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i320000000000001-1−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i3233-33-3-33−3+3i32−3−3i32−3+3i32−3−3i321-13−3i323+3i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i320000000000001-1−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32
χ2833-33-3-33−3+3i32−3−3i32−3+3i32−3−3i321-13−3i323+3i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32000000000000-111−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i3233-33-3-33−3+3i32−3−3i32−3+3i32−3−3i321-13−3i323+3i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32000000000000-111−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32
χ2933-33-3-33−3−3i32−3+3i32−3−3i32−3+3i321-13+3i323−3i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i320000000000001-1−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i3233-33-3-33−3−3i32−3+3i32−3−3i32−3+3i321-13+3i323−3i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i320000000000001-1−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32
χ3033-33-3-33−3−3i32−3+3i32−3−3i32−3+3i321-13+3i323−3i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32000000000000-111+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i3233-33-3-33−3−3i32−3+3i32−3−3i32−3+3i321-13+3i323−3i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32000000000000-111+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32
χ314-40400-444-4-400000000000000111-1i3−i3-1i3−i3-1i3−i30000000000004-40400-444-4-400000000000000111-1i3−i3-1i3−i3-1i3−i3000000000000
χ324-40400-444-4-400000000000000111-1−i3i3-1−i3i3-1−i3i30000000000004-40400-444-4-400000000000000111-1−i3i3-1−i3i3-1−i3i3000000000000
χ334-40400-444-4-400000000000000-2-2-22002002000000000000004-40400-444-4-400000000000000-2-2-2200200200000000000000
χ344-40400-4−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-1i3−i31−i32−3−i323+i321+i323−i32−3+i320000000000004-40400-4−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-1i3−i31−i32−3−i323+i321+i323−i32−3+i32000000000000
χ354-40400-4−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-1−i3i31−i323+i32−3−i321+i32−3+i323−i320000000000004-40400-4−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-1−i3i31−i323+i32−3−i321+i32−3+i323−i32000000000000
χ364-40400-4−2+2i3−2−2i32−2i32+2i300000000000000-21−i31+i3200−1+i300−1−i3000000000000004-40400-4−2+2i3−2−2i32−2i32+2i300000000000000-21−i31+i3200−1+i300−1−i300000000000000
χ374-40400-4−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-1i3−i31+i323−i32−3+i321−i32−3−i323+i320000000000004-40400-4−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-1i3−i31+i323−i32−3+i321−i32−3−i323+i32000000000000
χ384-40400-4−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-1−i3i31+i32−3+i323−i321−i323+i32−3−i320000000000004-40400-4−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-1−i3i31+i32−3+i323−i321−i323+i32−3−i32000000000000
χ394-40400-4−2−2i3−2+2i32+2i32−2i300000000000000-21+i31−i3200−1−i300−1+i3000000000000004-40400-4−2−2i3−2+2i32+2i32−2i300000000000000-21+i31−i3200−1−i300−1+i300000000000000
χ40666-3-3-3-3000066000000-3-30000000000000000000000000000666-3-3-3-3000066000000-3-30000000000000000000000000000
χ41666-3-3-3-30000-2-200444411-2-2-2-2000000000000000000000000666-3-3-3-30000-2-200444411-2-2-2-2000000000000000000000000
χ42666-3-3-3-30000-2-200−2+2i3−2−2i3−2+2i3−2−2i3111−i31−i31+i31+i3000000000000000000000000666-3-3-3-30000-2-200−2+2i3−2−2i3−2+2i3−2−2i3111−i31−i31+i31+i3000000000000000000000000
χ43666-3-3-3-30000-2-200−2−2i3−2+2i3−2−2i3−2+2i3111+i31+i31−i31−i3000000000000000000000000666-3-3-3-30000-2-200−2−2i3−2+2i3−2−2i3−2+2i3111+i31+i31−i31−i3000000000000000000000000
χ4466-6-333-300002-200-4-4441-1-22-2200000000000000000000000066-6-333-300002-200-4-4441-1-22-22000000000000000000000000
χ4566-6-333-300002-2002−2i32+2i3−2+2i3−2−2i31-11−i3−1+i31+i3−1−i300000000000000000000000066-6-333-300002-2002−2i32+2i3−2+2i3−2−2i31-11−i3−1+i31+i3−1−i3000000000000000000000000
χ4666-6-333-300002-2002+2i32−2i3−2−2i3−2+2i31-11+i3−1−i31−i3−1+i300000000000000000000000066-6-333-300002-2002+2i32−2i3−2−2i3−2+2i31-11+i3−1−i31−i3−1+i3000000000000000000000000
χ4766-6-333-30000-66000000-33000000000000000000000000000066-6-333-30000-66000000-330000000000000000000000000000
χ4812-120-66i3−6i3600000000000000000000000000000000000000000012-120-66i3−6i36000000000000000000000000000000000000000000
χ4912-120-6−6i36i3600000000000000000000000000000000000000000012-120-6−6i36i36000000000000000000000000000000000000000000
χ501111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ521111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ531111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ541111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ551111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ5611-11-1-111111-11-1-1-1-1111-11-11-11111-1-11-1-11-1-11-1111-1-1-11-11-1-1-11-111-1-1-1-1-11-11111-1-1-11-11-11-1-1-1-111-111-111-11-1-1-1111-11-11
χ5711-11-1-111111-11-1-1-1-1111-11-11-11111-1-11-1-11-1-1-11-1-1-1111-11-11-1-11-111-1-1-1-1-11-11111-1-1-11-11-11-1-1-1-111-111-1111-1111-1-1-11-11-1
χ5811-11-1-11−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32-1-11-111-11−i321+i321−i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-111−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32
χ5911-11-1-11−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32-1-11-111-11−i321+i321−i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i321-1−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32
χ6011-11-1-11−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32-1-11-111-11+i321−i321+i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-111+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32
χ6111-11-1-11−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32-1-11-111-11+i321−i321+i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i321-1−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32
χ622222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000
χ632222222−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000-2-2-2-2-2-2-21−i31+i31−i31+i3-2-21−i31+i31−i31+i31−i31+i3-2-21−i31−i31+i31+i31−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000
χ642222222−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000-2-2-2-2-2-2-21+i31−i31+i31−i3-2-21+i31−i31+i31−i31+i31−i3-2-21+i31+i31−i31−i31−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000
χ6522-22-2-222222-22-2-2-2-2222-22-22-2-1-1-1-111-111-111000000000000-2-22-222-2-2-2-2-22-22222-2-2-22-22-221111-1-11-1-11-1-1000000000000
χ6622-22-2-22−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i32-2−1+i31−i3−1−i31+i3-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32000000000000-2-22-222-21−i31+i31−i31+i32-2−1+i3−1−i3−1+i3−1−i31−i31+i3-221−i3−1+i31+i3−1−i31−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32000000000000
χ6722-22-2-22−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i32-2−1−i31+i3−1+i31−i3-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32000000000000-2-22-222-21+i31−i31+i31−i32-2−1−i3−1+i3−1−i3−1+i31+i31−i3-221+i3−1−i31−i3−1+i31−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32000000000000
χ6833333333333-1-133-1-1-1-1-1-1-1-1-1-10000000000001111-1-111-1-1-1-1-3-3-3-3-3-3-3-3-3-3-311-3-31111111111000000000000-1-1-1-111-1-11111
χ6933333333333-1-133-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-111-1-11111-3-3-3-3-3-3-3-3-3-3-311-3-311111111110000000000001111-1-111-1-1-1-1
χ703333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1−3+3i32−3−3i321−i321+i321−i321+i32-1-11−i321−i321+i321+i3200000000000011−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-3-3-3-3-3-3-33−3i323+3i323−3i323+3i32113−3i323+3i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ713333333−3+3i32−3−3i32−3+3i32−3−3i32-1-1−3+3i32−3−3i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32000000000000-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-3-3-3-3-3-3-33−3i323+3i323−3i323+3i32113−3i323+3i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000011−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ723333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1−3−3i32−3+3i321+i321−i321+i321−i32-1-11+i321+i321−i321−i3200000000000011−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-3-3-3-3-3-3-33+3i323−3i323+3i323−3i32113+3i323−3i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ733333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1−3−3i32−3+3i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32000000000000-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-3-3-3-3-3-3-33+3i323−3i323+3i323−3i32113+3i323−3i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000000011−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ7433-33-3-3333331-1-3-311-1-1-11-11-110000000000001-111-11-1-1-11-11-3-33-333-3-3-3-3-3-1133-1-1111-11-11-1000000000000-11-1-11-1111-11-1
χ7533-33-3-3333331-1-3-311-1-1-11-11-11000000000000-11-1-11-1111-11-1-3-33-333-3-3-3-3-3-1133-1-1111-11-11-10000000000001-111-11-1-1-11-11
χ7633-33-3-33−3+3i32−3−3i32−3+3i32−3−3i321-13−3i323+3i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i320000000000001-1−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32-3-33-333-33−3i323+3i323−3i323+3i32-11−3+3i32−3−3i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32000000000000-111−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32
χ7733-33-3-33−3+3i32−3−3i32−3+3i32−3−3i321-13−3i323+3i32−1+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32000000000000-111−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32-3-33-333-33−3i323+3i323−3i323+3i32-11−3+3i32−3−3i321−i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i320000000000001-1−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32
χ7833-33-3-33−3−3i32−3+3i32−3−3i32−3+3i321-13+3i323−3i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i320000000000001-1−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32-3-33-333-33+3i323−3i323+3i323−3i32-11−3−3i32−3+3i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32000000000000-111+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32
χ7933-33-3-33−3−3i32−3+3i32−3−3i32−3+3i321-13+3i323−3i32−1−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32000000000000-111+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32-3-33-333-33+3i323−3i323+3i323−3i32-11−3−3i32−3+3i321+i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i320000000000001-1−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32
χ804-40400-444-4-400000000000000111-1i3−i3-1i3−i3-1i3−i3000000000000-440-4004-4-44400000000000000-1-1-11−i3i31−i3i31−i3i3000000000000
χ814-40400-444-4-400000000000000111-1−i3i3-1−i3i3-1−i3i3000000000000-440-4004-4-44400000000000000-1-1-11i3−i31i3−i31i3−i3000000000000
χ824-40400-444-4-400000000000000-2-2-2200200200000000000000-440-4004-4-44400000000000000222-200-200-200000000000000
χ834-40400-4−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-1i3−i31−i32−3−i323+i321+i323−i32−3+i32000000000000-440-40042−2i32+2i3−2+2i3−2−2i300000000000000-11−i321+i321−i3i3−1+i323+i32−3−i32−1−i32−3+i323−i32000000000000
χ844-40400-4−2+2i3−2−2i32−2i32+2i3000000000000001−1+i32−1−i32-1−i3i31−i323+i32−3−i321+i32−3+i323−i32000000000000-440-40042−2i32+2i3−2+2i3−2−2i300000000000000-11−i321+i321i3−i3−1+i32−3−i323+i32−1−i323−i32−3+i32000000000000
χ854-40400-4−2+2i3−2−2i32−2i32+2i300000000000000-21−i31+i3200−1+i300−1−i300000000000000-440-40042−2i32+2i3−2+2i3−2−2i3000000000000002−1+i3−1−i3-2001−i3001+i300000000000000
χ864-40400-4−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-1i3−i31+i323−i32−3+i321−i32−3−i323+i32000000000000-440-40042+2i32−2i3−2−2i3−2+2i300000000000000-11+i321−i321−i3i3−1−i32−3+i323−i32−1+i323+i32−3−i32000000000000
χ874-40400-4−2−2i3−2+2i32+2i32−2i3000000000000001−1−i32−1+i32-1−i3i31+i32−3+i323−i321−i323+i32−3−i32000000000000-440-40042+2i32−2i3−2−2i3−2+2i300000000000000-11+i321−i321i3−i3−1−i323−i32−3+i32−1+i32−3−i323+i32000000000000
χ884-40400-4−2−2i3−2+2i32+2i32−2i300000000000000-21+i31−i3200−1−i300−1+i300000000000000-440-40042+2i32−2i3−2−2i3−2+2i3000000000000002−1−i3−1+i3-2001+i3001−i300000000000000
χ89666-3-3-3-3000066000000-3-30000000000000000000000000000-6-6-633330000-6-6000000330000000000000000000000000000
χ90666-3-3-3-30000-2-200444411-2-2-2-2000000000000000000000000-6-6-6333300002200-4-4-4-4-1-12222000000000000000000000000
χ91666-3-3-3-30000-2-200−2+2i3−2−2i3−2+2i3−2−2i3111−i31−i31+i31+i3000000000000000000000000-6-6-63333000022002−2i32+2i32−2i32+2i3-1-1−1+i3−1+i3−1−i3−1−i3000000000000000000000000
χ92666-3-3-3-30000-2-200−2−2i3−2+2i3−2−2i3−2+2i3111+i31+i31−i31−i3000000000000000000000000-6-6-63333000022002+2i32−2i32+2i32−2i3-1-1−1−i3−1−i3−1+i3−1+i3000000000000000000000000
χ9366-6-333-300002-200-4-4441-1-22-22000000000000000000000000-6-663-3-330000-220044-4-4-112-22-2000000000000000000000000
χ9466-6-333-300002-2002−2i32+2i3−2+2i3−2−2i31-11−i3−1+i31+i3−1−i3000000000000000000000000-6-663-3-330000-2200−2+2i3−2−2i32−2i32+2i3-11−1+i31−i3−1−i31+i3000000000000000000000000
χ9566-6-333-300002-2002+2i32−2i3−2−2i3−2+2i31-11+i3−1−i31−i3−1+i3000000000000000000000000-6-663-3-330000-2200−2−2i3−2+2i32+2i32−2i3-11−1−i31+i3−1+i31−i3000000000000000000000000
χ9666-6-333-30000-66000000-330000000000000000000000000000-6-663-3-3300006-60000003-30000000000000000000000000000
χ9712-120-66i3−6i36000000000000000000000000000000000000000000-121206−6i36i3-6000000000000000000000000000000000000000000
χ9812-120-6−6i36i36000000000000000000000000000000000000000000-1212066i3−6i3-6000000000000000000000000000000000000000000

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