Finite Group Databasebeta

← Group #5906

Character table — Group #5906

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222224444444444411222222222444444444441122222222244444444444
order1222244448822222244888366661212121224246666661212242424366661212121224246666661212242424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111
χ3111111111-1-1111-1-1-11-1-1-1-1111111111-1-1111-1-1-11-1-1-1-1111111111-1-1111-1-1-11-1-1-1-1
χ4111111111-1-1-1-1-1111-11-1-1-1111111111-1-1-1-1-1111-11-1-1-1111111111-1-1-1-1-1111-11-1-1-1
χ5111-1-11-1-111111-111-1-1-11-1-1111-1-11-1-111111-111-1-1-11-1-1111-1-11-1-111111-111-1-1-11-1-1
χ6111-1-11-1-1111-1-11-1-11111-1-1111-1-11-1-1111-1-11-1-11111-1-1111-1-11-1-1111-1-11-1-11111-1-1
χ7111-1-11-1-11-1-111-1-1-11-11-111111-1-11-1-11-1-111-1-1-11-11-111111-1-11-1-11-1-111-1-1-11-11-111
χ8111-1-11-1-11-1-1-1-1111-11-1-111111-1-11-1-11-1-1-1-1111-11-1-111111-1-11-1-11-1-1-1-1111-11-1-111
χ911-11-1-11-11111-111-11-1-1-11-111-11-1-11-11111-111-11-1-1-11-111-11-1-11-11111-111-11-1-1-11-1
χ1011-11-1-11-1111-11-1-11-111-11-111-11-1-11-1111-11-1-11-111-11-111-11-1-11-1111-11-1-11-111-11-1
χ1111-11-1-11-11-1-11-11-11-1-111-1111-11-1-11-11-1-11-11-11-1-111-1111-11-1-11-11-1-11-11-11-1-111-11
χ1211-11-1-11-11-1-1-11-11-111-11-1111-11-1-11-11-1-1-11-11-111-11-1111-11-1-11-11-1-1-11-11-111-11-11
χ1311-1-11-1-111111-1-11-1-111-1-1111-1-11-1-111111-1-11-1-111-1-1111-1-11-1-111111-1-11-1-111-1-11
χ1411-1-11-1-11111-111-111-1-1-1-1111-1-11-1-11111-111-111-1-1-1-1111-1-11-1-11111-111-111-1-1-1-11
χ1511-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-1
χ1611-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-1
χ172222-2-2-22-200000000000002222-2-2-22-200000000000002222-2-2-22-20000000000000
χ18222-22-22-2-20000000000000222-22-22-2-20000000000000222-22-22-2-20000000000000
χ1922-2222-2-2-2000000000000022-2222-2-2-2000000000000022-2222-2-2-20000000000000
χ2022-2-2-2222-2000000000000022-2-2-2222-2000000000000022-2-2-2222-20000000000000
χ214-4000000022−22000000000004-4000000022−22000000000004-4000000022−2200000000000
χ224-40000000−2222000000000004-40000000−2222000000000004-40000000−222200000000000
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
χ2411111111111-1-1-1-1-1-1-1-1111−1+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+i32−1−i32−1−i32−1−i32
χ25111111111-1-1111-1-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i32
χ26111111111-1-1-1-1-1111-11-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32
χ27111-1-11-1-111111-111-1-1-11-1-1−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32
χ28111-1-11-1-1111-1-11-1-11111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ29111-1-11-1-11-1-111-1-1-11-11-111−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32
χ30111-1-11-1-11-1-1-1-1111-11-1-111−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32
χ3111-11-1-11-11111-111-11-1-1-11-1−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32
χ3211-11-1-11-1111-11-1-11-111-11-1−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ3311-11-1-11-11-1-11-11-11-1-111-11−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3411-11-1-11-11-1-1-11-11-111-11-11−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ3511-1-11-1-111111-1-11-1-111-1-11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ3611-1-11-1-11111-111-111-1-1-1-11−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ3711-1-11-1-111-1-11-1-1-1111-111-1−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ3811-1-11-1-111-1-1-1111-1-1-1111-1−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ392222-2-2-22-20000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i30000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i30000000000000
χ40222-22-22-2-20000000000000−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i30000000000000−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i30000000000000
χ4122-2222-2-2-20000000000000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i30000000000000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i30000000000000
χ4222-2-2-2222-20000000000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000
χ434-4000000022−2200000000000−2+2i32−2i300000002ζ5−2ζ23−2ζ5+2ζ2300000000000−2−2i32+2i30000000−2ζ7+2ζ132ζ7−2ζ1300000000000
χ444-40000000−222200000000000−2+2i32−2i30000000−2ζ5+2ζ232ζ5−2ζ2300000000000−2−2i32+2i300000002ζ7−2ζ13−2ζ7+2ζ1300000000000
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
χ4611111111111-1-1-1-1-1-1-1-1111−1−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−i32−1+i32−1+i32−1+i32
χ47111111111-1-1111-1-1-11-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+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+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i32
χ48111111111-1-1-1-1-1111-11-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32
χ49111-1-11-1-111111-111-1-1-11-1-1−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32
χ50111-1-11-1-1111-1-11-1-11111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ51111-1-11-1-11-1-111-1-1-11-11-111−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32
χ52111-1-11-1-11-1-1-1-1111-11-1-111−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32
χ5311-11-1-11-11111-111-11-1-1-11-1−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32
χ5411-11-1-11-1111-11-1-11-111-11-1−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ5511-11-1-11-11-1-11-11-11-1-111-11−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ5611-11-1-11-11-1-1-11-11-111-11-11−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ5711-1-11-1-111111-1-11-1-111-1-11−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ5811-1-11-1-11111-111-111-1-1-1-11−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ5911-1-11-1-111-1-11-1-1-1111-111-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ6011-1-11-1-111-1-1-1111-1-1-1111-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ612222-2-2-22-20000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i30000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i30000000000000
χ62222-22-22-2-20000000000000−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i30000000000000−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i30000000000000
χ6322-2222-2-2-20000000000000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i30000000000000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i30000000000000
χ6422-2-2-2222-20000000000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000
χ654-4000000022−2200000000000−2−2i32+2i30000000−2ζ7+2ζ132ζ7−2ζ1300000000000−2+2i32−2i300000002ζ5−2ζ23−2ζ5+2ζ2300000000000
χ664-40000000−222200000000000−2−2i32+2i300000002ζ7−2ζ13−2ζ7+2ζ1300000000000−2+2i32−2i30000000−2ζ5+2ζ232ζ5−2ζ2300000000000

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