Finite Group Databasebeta

← Group #5903

Character table — Group #5903

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112224444441122244444411222444444112224444441122244444411222444444
order12244222488366121266612242436612126661224242224422248866612126661224246661212666122424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1
χ311111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-1
χ411111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-111
χ511-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-111-1-111-11-11-1
χ611-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-11
χ711-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-11
χ811-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-1
χ9222-2-2000000222-2-2000000222-2-2000000222-2-2000000222-2-2000000222-2-2000000
χ1022-22-200000022-22-200000022-22-200000022-22-200000022-22-200000022-22-2000000
χ114-40000000004-40000000004-40000000004-40000000004-40000000004-4000000000
χ1211111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ131111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ1411111-1-111-1-1−1+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−i321+i321+i32−1−i32−1−i321+i321+i3211111-1-111-1-1−1+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−i321+i321+i32−1−i32−1−i321+i321+i32
χ1511111-1-1-1-111−1+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+i321+i321+i32−1−i32−1−i3211111-1-1-1-111−1+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+i321+i321+i32−1−i32−1−i32
χ1611-1-111-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i3211-1-111-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ1711-1-111-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i3211-1-111-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ1811-1-11-111-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i3211-1-11-111-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ1911-1-11-11-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i3211-1-11-11-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ20222-2-2000000−1+i3−1+i3−1+i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i3000000222-2-2000000−1+i3−1+i3−1+i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i3000000
χ2122-22-2000000−1+i3−1+i31−i3−1+i31−i3000000−1−i3−1−i31+i3−1−i31+i300000022-22-2000000−1+i3−1+i31−i3−1+i31−i3000000−1−i3−1−i31+i3−1−i31+i3000000
χ224-4000000000−2+2i32−2i3000000000−2−2i32+2i30000000004-4000000000−2+2i32−2i3000000000−2−2i32+2i3000000000
χ2311111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ241111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ2511111-1-111-1-1−1−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+i321−i321−i32−1+i32−1+i321−i321−i3211111-1-111-1-1−1−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+i321−i321−i32−1+i32−1+i321−i321−i32
χ2611111-1-1-1-111−1−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−i321−i321−i32−1+i32−1+i3211111-1-1-1-111−1−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−i321−i321−i32−1+i32−1+i32
χ2711-1-111-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i3211-1-111-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ2811-1-111-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i3211-1-111-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ2911-1-11-111-1-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i3211-1-11-111-1-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ3011-1-11-11-111-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i3211-1-11-11-111-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32
χ31222-2-2000000−1−i3−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i3000000222-2-2000000−1−i3−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i3000000
χ3222-22-2000000−1−i3−1−i31+i3−1−i31+i3000000−1+i3−1+i31−i3−1+i31−i300000022-22-2000000−1−i3−1−i31+i3−1−i31+i3000000−1+i3−1+i31−i3−1+i31−i3000000
χ334-4000000000−2−2i32+2i3000000000−2+2i32−2i30000000004-4000000000−2−2i32+2i3000000000−2+2i32−2i3000000000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ351111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111
χ3611111-1-111-1-111111-1-111-1-111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-111-1-1-1-1-111-1-111
χ3711111-1-1-1-11111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1
χ3811-1-111-11-11-111-1-111-11-11-111-1-111-11-11-1-1-111-1-11-11-11-1-111-1-11-11-11-1-111-1-11-11-11
χ3911-1-111-1-11-1111-1-111-1-11-1111-1-111-1-11-11-1-111-1-111-11-1-1-111-1-111-11-1-1-111-1-111-11-1
χ4011-1-11-111-1-1111-1-11-111-1-1111-1-11-111-1-11-1-111-11-1-111-1-1-111-11-1-111-1-1-111-11-1-111-1
χ4111-1-11-11-111-111-1-11-11-111-111-1-11-11-111-1-1-111-11-11-1-11-1-111-11-11-1-11-1-111-11-11-1-11
χ42222-2-2000000222-2-2000000222-2-2000000-2-2-222000000-2-2-222000000-2-2-222000000
χ4322-22-200000022-22-200000022-22-2000000-2-22-22000000-2-22-22000000-2-22-22000000
χ444-40000000004-40000000004-4000000000-44000000000-44000000000-44000000000
χ4511111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ461111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1-1-1-111111−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ4711111-1-111-1-1−1+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−i321+i321+i32−1−i32−1−i321+i321+i32-1-1-1-1-111-1-1111−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4811111-1-1-1-111−1+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+i321+i321+i32−1−i32−1−i32-1-1-1-1-11111-1-11−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4911-1-111-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32-1-111-1-11-11-111−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ5011-1-111-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32-1-111-1-111-11-11−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32
χ5111-1-11-111-1-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32-1-111-11-1-111-11−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5211-1-11-11-111-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32-1-111-11-11-1-111−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32
χ53222-2-2000000−1+i3−1+i3−1+i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i3000000-2-2-2220000001−i31−i31−i3−1+i3−1+i30000001+i31+i31+i3−1−i3−1−i3000000
χ5422-22-2000000−1+i3−1+i31−i3−1+i31−i3000000−1−i3−1−i31+i3−1−i31+i3000000-2-22-220000001−i31−i3−1+i31−i3−1+i30000001+i31+i3−1−i31+i3−1−i3000000
χ554-4000000000−2+2i32−2i3000000000−2−2i32+2i3000000000-440000000002−2i3−2+2i30000000002+2i3−2−2i3000000000
χ5611111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ571111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ5811111-1-111-1-1−1−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+i321−i321−i32−1+i32−1+i321−i321−i32-1-1-1-1-111-1-1111+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ5911111-1-1-1-111−1−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−i321−i321−i32−1+i32−1+i32-1-1-1-1-11111-1-11+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6011-1-111-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32-1-111-1-11-11-111+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ6111-1-111-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32-1-111-1-111-11-11+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32
χ6211-1-11-111-1-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32-1-111-11-1-111-11+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ6311-1-11-11-111-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32-1-111-11-11-1-111+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32
χ64222-2-2000000−1−i3−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i3000000-2-2-2220000001+i31+i31+i3−1−i3−1−i30000001−i31−i31−i3−1+i3−1+i3000000
χ6522-22-2000000−1−i3−1−i31+i3−1−i31+i3000000−1+i3−1+i31−i3−1+i31−i3000000-2-22-220000001+i31+i3−1−i31+i3−1−i30000001−i31−i3−1+i31−i3−1+i3000000
χ664-4000000000−2−2i32+2i3000000000−2+2i32−2i3000000000-440000000002+2i3−2−2i30000000002−2i3−2+2i3000000000

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