Finite Group Databasebeta

← Group #11724504

Character table — Group #11724504

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112224444888888999999181818181818181818112224444888888999999181818181818181818112224444888888999999181818181818181818
order124443366121212121212448888222888888361212123366121212121212121224242424666242424242424361212123366121212121212121224242424666242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1111-1-1-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111-1-1ii−i−i-1-1-1iii−i−i−i111111111111111-1-1ii−i−i-1-1-1iii−i−i−i111111111111111-1-1ii−i−i-1-1-1iii−i−i−i
χ4111111111111111-1-1−i−iii-1-1-1−i−i−iiii111111111111111-1-1−i−iii-1-1-1−i−i−iiii111111111111111-1-1−i−iii-1-1-1−i−i−iiii
χ5111-1-1111111-1-1-1-11111111-1-11-1-11-1-1111-1-1111111-1-1-1-11111111-1-11-1-11-1-1111-1-1111111-1-1-1-11111111-1-11-1-11-1-1
χ6111-1-1111111-1-1-1-111-1-1-1-11-1-1-111-111111-1-1111111-1-1-1-111-1-1-1-11-1-1-111-111111-1-1111111-1-1-1-111-1-1-1-11-1-1-111-111
χ7111-1-1111111-1-1-1-1-1-1ii−i−i-111i−i−i−iii111-1-1111111-1-1-1-1-1-1ii−i−i-111i−i−i−iii111-1-1111111-1-1-1-1-1-1ii−i−i-111i−i−i−iii
χ8111-1-1111111-1-1-1-1-1-1−i−iii-111−iiii−i−i111-1-1111111-1-1-1-1-1-1−i−iii-111−iiii−i−i111-1-1111111-1-1-1-1-1-1−i−iii-111−iiii−i−i
χ911-11-11111-1-111-1-1111111-11-1-11-1-11-111-11-11111-1-111-1-1111111-11-1-11-1-11-111-11-11111-1-111-1-1111111-11-1-11-1-11-1
χ1011-11-11111-1-111-1-111-1-1-1-1-11-11-111-1111-11-11111-1-111-1-111-1-1-1-1-11-11-111-1111-11-11111-1-111-1-111-1-1-1-1-11-11-111-11
χ1111-11-11111-1-111-1-1-1-1ii−i−i1-11−ii−ii−ii11-11-11111-1-111-1-1-1-1ii−i−i1-11−ii−ii−ii11-11-11111-1-111-1-1-1-1ii−i−i1-11−ii−ii−ii
χ1211-11-11111-1-111-1-1-1-1−i−iii1-11i−ii−ii−i11-11-11111-1-111-1-1-1-1−i−iii1-11i−ii−ii−i11-11-11111-1-111-1-1-1-1−i−iii1-11i−ii−ii−i
χ1311-1-111111-1-1-1-111111111-1-11-1-11-1-1111-1-111111-1-1-1-111111111-1-11-1-11-1-1111-1-111111-1-1-1-111111111-1-11-1-11-1-11
χ1411-1-111111-1-1-1-11111-1-1-1-1-1-1111-111-111-1-111111-1-1-1-11111-1-1-1-1-1-1111-111-111-1-111111-1-1-1-11111-1-1-1-1-1-1111-111-1
χ1511-1-111111-1-1-1-111-1-1ii−i−i11-1−i−iiii−i11-1-111111-1-1-1-111-1-1ii−i−i11-1−i−iiii−i11-1-111111-1-1-1-111-1-1ii−i−i11-1−i−iiii−i
χ1611-1-111111-1-1-1-111-1-1−i−iii11-1ii−i−i−ii11-1-111111-1-1-1-111-1-1−i−iii11-1ii−i−i−ii11-1-111111-1-1-1-111-1-1−i−iii11-1ii−i−i−ii
χ172-200022-2-20000002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000002-200022-2-20000002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000002-200022-2-20000002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000
χ182-200022-2-20000002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000002-200022-2-20000002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000002-200022-2-20000002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000
χ192-200022-2-2000000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000002-200022-2-2000000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000002-200022-2-2000000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000
χ202-200022-2-2000000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000002-200022-2-2000000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000002-200022-2-2000000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000
χ21444441-21-21-21-21-2000000000000000444441-21-21-21-21-2000000000000000444441-21-21-21-21-2000000000000000
χ2244444-21-21-21-21-2100000000000000044444-21-21-21-21-2100000000000000044444-21-21-21-21-21000000000000000
χ23444-4-41-21-21-2-12-12000000000000000444-4-41-21-21-2-12-12000000000000000444-4-41-21-21-2-12-12000000000000000
χ24444-4-4-21-21-212-12-1000000000000000444-4-4-21-21-212-12-1000000000000000444-4-4-21-21-212-12-1000000000000000
χ2544-44-41-21-2-121-2-1200000000000000044-44-41-21-2-121-2-1200000000000000044-44-41-21-2-121-2-12000000000000000
χ2644-44-4-21-212-1-212-100000000000000044-44-4-21-212-1-212-100000000000000044-44-4-21-212-1-212-1000000000000000
χ2744-4-441-21-2-12-121-200000000000000044-4-441-21-2-12-121-200000000000000044-4-441-21-2-12-121-2000000000000000
χ2844-4-44-21-212-12-1-2100000000000000044-4-44-21-212-12-1-2100000000000000044-4-44-21-212-12-1-21000000000000000
χ298-80002-4-240000000000000000000008-80002-4-240000000000000000000008-80002-4-24000000000000000000000
χ308-8000-424-20000000000000000000008-8000-424-20000000000000000000008-8000-424-2000000000000000000000
χ31111111111111111111111111111111−1+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
χ3211111111111111111-1-1-1-1111-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ33111111111111111-1-1ii−i−i-1-1-1iii−i−i−i−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−i32ζ14ζ14−ζ14−ζ141−i321−i321−i32ζ14ζ14ζ14−ζ14−ζ14−ζ14−1−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+i32ζ22ζ22−ζ22−ζ221+i321+i321+i32ζ22ζ22ζ22−ζ22−ζ22−ζ22
χ34111111111111111-1-1−i−iii-1-1-1−i−i−iiii−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−ζ14−ζ14ζ14ζ141−i321−i321−i32−ζ14−ζ14−ζ14ζ14ζ14ζ14−1−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−ζ22−ζ22ζ22ζ221+i321+i321+i32−ζ22−ζ22−ζ22ζ22ζ22ζ22
χ35111-1-1111111-1-1-1-11111111-1-11-1-11-1-1−1+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32
χ36111-1-1111111-1-1-1-111-1-1-1-11-1-1-111-111−1+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+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ37111-1-1111111-1-1-1-1-1-1ii−i−i-111i−i−i−iii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i32ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i32ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ38111-1-1111111-1-1-1-1-1-1−i−iii-111−iiii−i−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i32−ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i32−ζ22ζ22ζ22ζ22−ζ22−ζ22
χ3911-11-11111-1-111-1-1111111-11-1-11-1-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32
χ4011-11-11111-1-111-1-111-1-1-1-1-11-11-111-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ4111-11-11111-1-111-1-1-1-1ii−i−i1-11−ii−ii−ii−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22
χ4211-11-11111-1-111-1-1-1-1−i−iii1-11i−ii−ii−i−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ4311-1-111111-1-1-1-111111111-1-11-1-11-1-11−1+i32−1+i321−i321−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−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+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+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32
χ4411-1-111111-1-1-1-11111-1-1-1-1-1-1111-111-1−1+i32−1+i321−i321−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−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+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+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ4511-1-111111-1-1-1-111-1-1ii−i−i11-1−i−iiii−i−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22−ζ22
χ4611-1-111111-1-1-1-111-1-1−i−iii11-1ii−i−i−ii−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22ζ22
χ472-200022-2-20000002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000−1+i31−i3000−1+i3−1+i31−i31−i30000002ζ14−2ζ14−2ζ232ζ23−2ζ52ζ5000000000−1−i31+i3000−1−i3−1−i31+i31+i30000002ζ22−2ζ22−2ζ72ζ7−2ζ132ζ13000000000
χ482-200022-2-20000002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000−1+i31−i3000−1+i3−1+i31−i31−i30000002ζ14−2ζ142ζ23−2ζ232ζ5−2ζ5000000000−1−i31+i3000−1−i3−1−i31+i31+i30000002ζ22−2ζ222ζ7−2ζ72ζ13−2ζ13000000000
χ492-200022-2-2000000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000−1+i31−i3000−1+i3−1+i31−i31−i3000000−2ζ142ζ14−2ζ52ζ5−2ζ232ζ23000000000−1−i31+i3000−1−i3−1−i31+i31+i3000000−2ζ222ζ22−2ζ132ζ13−2ζ72ζ7000000000
χ502-200022-2-2000000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000−1+i31−i3000−1+i3−1+i31−i31−i3000000−2ζ142ζ142ζ5−2ζ52ζ23−2ζ23000000000−1−i31+i3000−1−i3−1−i31+i31+i3000000−2ζ222ζ222ζ13−2ζ132ζ7−2ζ7000000000
χ51444441-21-21-21-21-2000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3000000000000000
χ5244444-21-21-21-21-21000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32000000000000000
χ53444-4-41-21-21-2-12-12000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3000000000000000
χ54444-4-4-21-21-212-12-1000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32000000000000000
χ5544-44-41-21-2-121-2-12000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3000000000000000
χ5644-44-4-21-212-1-212-1000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i32000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i32000000000000000
χ5744-4-441-21-2-12-121-2000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−1+i321−i3000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−1−i321+i3000000000000000
χ5844-4-44-21-212-12-1-21000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i32000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i32000000000000000
χ598-80002-4-24000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i3000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i3000000000000000000000
χ608-8000-424-2000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i3000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i3000000000000000000000
χ61111111111111111111111111111111−1−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
χ6211111111111111111-1-1-1-1111-1-1-1-1-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ63111111111111111-1-1ii−i−i-1-1-1iii−i−i−i−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+i32ζ22ζ22−ζ22−ζ221+i321+i321+i32ζ22ζ22ζ22−ζ22−ζ22−ζ22−1+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−i32ζ14ζ14−ζ14−ζ141−i321−i321−i32ζ14ζ14ζ14−ζ14−ζ14−ζ14
χ64111111111111111-1-1−i−iii-1-1-1−i−i−iiii−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−ζ22−ζ22ζ22ζ221+i321+i321+i32−ζ22−ζ22−ζ22ζ22ζ22ζ22−1+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−ζ14−ζ14ζ14ζ141−i321−i321−i32−ζ14−ζ14−ζ14ζ14ζ14ζ14
χ65111-1-1111111-1-1-1-11111111-1-11-1-11-1-1−1−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32
χ66111-1-1111111-1-1-1-111-1-1-1-11-1-1-111-111−1−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−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32
χ67111-1-1111111-1-1-1-1-1-1ii−i−i-111i−i−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i32ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i32ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ68111-1-1111111-1-1-1-1-1-1−i−iii-111−iiii−i−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i32−ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i32−ζ14ζ14ζ14ζ14−ζ14−ζ14
χ6911-11-11111-1-111-1-1111111-11-1-11-1-11-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32
χ7011-11-11111-1-111-1-111-1-1-1-1-11-11-111-11−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ7111-11-11111-1-111-1-1-1-1ii−i−i1-11−ii−ii−ii−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14
χ7211-11-11111-1-111-1-1-1-1−i−iii1-11i−ii−ii−i−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ7311-1-111111-1-1-1-111111111-1-11-1-11-1-11−1−i32−1−i321+i321+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+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−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−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32
χ7411-1-111111-1-1-1-11111-1-1-1-1-1-1111-111-1−1−i32−1−i321+i321+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+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−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−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ7511-1-111111-1-1-1-111-1-1ii−i−i11-1−i−iiii−i−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14−ζ14
χ7611-1-111111-1-1-1-111-1-1−i−iii11-1ii−i−i−ii−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14ζ14
χ772-200022-2-20000002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000−1−i31+i3000−1−i3−1−i31+i31+i30000002ζ22−2ζ22−2ζ72ζ7−2ζ132ζ13000000000−1+i31−i3000−1+i3−1+i31−i31−i30000002ζ14−2ζ14−2ζ232ζ23−2ζ52ζ5000000000
χ782-200022-2-20000002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000−1−i31+i3000−1−i3−1−i31+i31+i30000002ζ22−2ζ222ζ7−2ζ72ζ13−2ζ13000000000−1+i31−i3000−1+i3−1+i31−i31−i30000002ζ14−2ζ142ζ23−2ζ232ζ5−2ζ5000000000
χ792-200022-2-2000000−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000−1−i31+i3000−1−i3−1−i31+i31+i3000000−2ζ222ζ22−2ζ132ζ13−2ζ72ζ7000000000−1+i31−i3000−1+i3−1+i31−i31−i3000000−2ζ142ζ14−2ζ52ζ5−2ζ232ζ23000000000
χ802-200022-2-2000000−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000−1−i31+i3000−1−i3−1−i31+i31+i3000000−2ζ222ζ222ζ13−2ζ132ζ7−2ζ7000000000−1+i31−i3000−1+i3−1+i31−i31−i3000000−2ζ142ζ142ζ5−2ζ52ζ23−2ζ23000000000
χ81444441-21-21-21-21-2000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3000000000000000
χ8244444-21-21-21-21-21000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32000000000000000
χ83444-4-41-21-21-2-12-12000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3000000000000000
χ84444-4-4-21-21-212-12-1000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32000000000000000
χ8544-44-41-21-2-121-2-12000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3000000000000000
χ8644-44-4-21-212-1-212-1000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i32000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i32000000000000000
χ8744-4-441-21-2-12-121-2000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−1−i321+i3000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−1+i321−i3000000000000000
χ8844-4-44-21-212-12-1-21000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i32000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i32000000000000000
χ898-80002-4-24000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i3000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i3000000000000000000000
χ908-8000-424-2000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i3000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i3000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.