Finite Group Databasebeta

← Group #4570

Character table — Group #4570

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222244444444444411112222224444444444441111222222444444444444
order1222224444224488888888366666121212126612122424242424242424366666121212126612122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i
χ6111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii
χ7111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii
χ8111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i
χ911-1-11-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-11-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-11-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1011-1-11-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-11-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-11-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1111-1-11-1ii−i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-11-1ii−i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-11-1ii−i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1211-1-11-1ii−i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-11-1ii−i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-11-1ii−i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1311-1-11-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-11-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-11-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1411-1-11-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-11-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-11-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1511-1-11-1−i−iii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-11-1−i−iii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-11-1−i−iii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1611-1-11-1−i−iii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-11-1−i−iii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-11-1−i−iii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ172222-2-22-22-20000000000002222-2-22-22-20000000000002222-2-22-22-2000000000000
χ182222-2-2-22-220000000000002222-2-2-22-220000000000002222-2-2-22-22000000000000
χ1922-2-2-222i−2i−2i2i00000000000022-2-2-222i−2i−2i2i00000000000022-2-2-222i−2i−2i2i000000000000
χ2022-2-2-22−2i2i2i−2i00000000000022-2-2-22−2i2i2i−2i00000000000022-2-2-22−2i2i2i−2i000000000000
χ214-44-40000000000000000004-44-40000000000000000004-44-4000000000000000000
χ224-4-440000000000000000004-4-440000000000000000004-4-44000000000000000000
χ231111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2411111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ251111111111-1-1-1-11111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ261111111111-1-1-1-1-1-1-1-11111−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ27111111-1-1-1-111-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ28111111-1-1-1-111-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ29111111-1-1-1-1-1-111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ30111111-1-1-1-1-1-111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ3111-1-11-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ23ζ23−ζ5ζ5−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ7ζ7−ζ13ζ13
χ3211-1-11-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5ζ23−ζ23ζ5−ζ5−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13ζ7−ζ7ζ13−ζ13
χ3311-1-11-1ii−i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5ζ23−ζ23ζ5−ζ5−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13ζ7−ζ7ζ13−ζ13
χ3411-1-11-1ii−i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5−ζ23ζ23−ζ5ζ5−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13−ζ7ζ7−ζ13ζ13
χ3511-1-11-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−ζ5ζ5−ζ23ζ23−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−ζ13ζ13−ζ7ζ7
χ3611-1-11-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ7
χ3711-1-11-1−i−iii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23ζ5−ζ5ζ23−ζ23−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7ζ13−ζ13ζ7−ζ7
χ3811-1-11-1−i−iii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23−ζ5ζ5−ζ23ζ23−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7−ζ13ζ13−ζ7ζ7
χ392222-2-22-22-2000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3000000000000
χ402222-2-2-22-22000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000000000
χ4122-2-2-222i−2i−2i2i000000000000−1+i3−1+i31−i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ14000000000000−1−i3−1−i31+i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ22000000000000
χ4222-2-2-22−2i2i2i−2i000000000000−1+i3−1+i31−i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ14000000000000−1−i3−1−i31+i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ22000000000000
χ434-44-4000000000000000000−2+2i32−2i3−2+2i32−2i3000000000000000000−2−2i32+2i3−2−2i32+2i3000000000000000000
χ444-4-44000000000000000000−2+2i32−2i32−2i3−2+2i3000000000000000000−2−2i32+2i32+2i3−2−2i3000000000000000000
χ451111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4611111111111111-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ471111111111-1-1-1-11111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ481111111111-1-1-1-1-1-1-1-11111−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ49111111-1-1-1-111-1-1ii−i−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ50111111-1-1-1-111-1-1−i−iii−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ51111111-1-1-1-1-1-111ii−i−i−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ52111111-1-1-1-1-1-111−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ5311-1-11-1ii−i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ7ζ7−ζ13ζ13−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ23ζ23−ζ5ζ5
χ5411-1-11-1ii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13ζ7−ζ7ζ13−ζ13−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5ζ23−ζ23ζ5−ζ5
χ5511-1-11-1ii−i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13ζ7−ζ7ζ13−ζ13−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5ζ23−ζ23ζ5−ζ5
χ5611-1-11-1ii−i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13−ζ7ζ7−ζ13ζ13−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5−ζ23ζ23−ζ5ζ5
χ5711-1-11-1−i−iii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−ζ13ζ13−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−ζ5ζ5−ζ23ζ23
χ5811-1-11-1−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23
χ5911-1-11-1−i−iii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7ζ13−ζ13ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23ζ5−ζ5ζ23−ζ23
χ6011-1-11-1−i−iii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7−ζ13ζ13−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23−ζ5ζ5−ζ23ζ23
χ612222-2-22-22-2000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3000000000000
χ622222-2-2-22-22000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000000000
χ6322-2-2-222i−2i−2i2i000000000000−1−i3−1−i31+i31+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ22000000000000−1+i3−1+i31−i31−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ14000000000000
χ6422-2-2-22−2i2i2i−2i000000000000−1−i3−1−i31+i31+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ22000000000000−1+i3−1+i31−i31−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ14000000000000
χ654-44-4000000000000000000−2−2i32+2i3−2−2i32+2i3000000000000000000−2+2i32−2i3−2+2i32−2i3000000000000000000
χ664-4-44000000000000000000−2−2i32+2i32+2i3−2−2i3000000000000000000−2+2i32−2i32−2i3−2+2i3000000000000000000

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