Finite Group Databasebeta

← Group #84521

Character table — Group #84521

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222444444444444888888881111111122224444444444448888888811111111222244444444444488888888
order122222224444444444444444222222443666666612121212121212121212121212121212666666121236666666121212121212121212121212121212126666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ911111111-1-1-1-111-1-111-1-111-1-11-11-11-11-111111111-1-1-1-111-1-111-1-111-1-11-11-11-11-111111111-1-1-1-111-1-111-1-111-1-11-11-11-11-1
χ1011111111-1-1-1-111-1-111-1-111-1-1-11-11-11-1111111111-1-1-1-111-1-111-1-111-1-1-11-11-11-1111111111-1-1-1-111-1-111-1-111-1-1-11-11-11-11
χ1111111111-1-1-1-111-1-1-1-111-1-1111-11-1-11-1111111111-1-1-1-111-1-1-1-111-1-1111-11-1-11-1111111111-1-1-1-111-1-1-1-111-1-1111-11-1-11-11
χ1211111111-1-1-1-111-1-1-1-111-1-111-11-111-11-111111111-1-1-1-111-1-1-1-111-1-111-11-111-11-111111111-1-1-1-111-1-1-1-111-1-111-11-111-11-1
χ1311111111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-11
χ1411111111-1-1-1-1-1-11111-1-1-1-111-111-1-111-111111111-1-1-1-1-1-11111-1-1-1-111-111-1-111-111111111-1-1-1-1-1-11111-1-1-1-111-111-1-111-1
χ1511111111-1-1-1-1-1-111-1-11111-1-11-1-11-111-111111111-1-1-1-1-1-111-1-11111-1-11-1-11-111-111111111-1-1-1-1-1-111-1-11111-1-11-1-11-111-1
χ1611111111-1-1-1-1-1-111-1-11111-1-1-111-11-1-1111111111-1-1-1-1-1-111-1-11111-1-1-111-11-1-1111111111-1-1-1-1-1-111-1-11111-1-1-111-11-1-11
χ17222-2-2-2-2222-2-2000000002-22-200000000222-2-2-2-2222-2-2000000002-22-200000000222-2-2-2-2222-2-2000000002-22-200000000
χ18222-2-2-2-2222-2-200000000-22-2200000000222-2-2-2-2222-2-200000000-22-2200000000222-2-2-2-2222-2-200000000-22-2200000000
χ19222-2-2-2-22-2-222000000002-2-2200000000222-2-2-2-22-2-222000000002-2-2200000000222-2-2-2-22-2-222000000002-2-2200000000
χ20222-2-2-2-22-2-22200000000-222-200000000222-2-2-2-22-2-22200000000-222-200000000222-2-2-2-22-2-22200000000-222-200000000
χ212-2-222-2-222-22-200002-22-20000000000002-2-222-2-222-22-200002-22-20000000000002-2-222-2-222-22-200002-22-2000000000000
χ222-2-222-2-222-22-20000-22-220000000000002-2-222-2-222-22-20000-22-220000000000002-2-222-2-222-22-20000-22-22000000000000
χ232-2-222-2-22-22-2200002-2-220000000000002-2-222-2-22-22-2200002-2-220000000000002-2-222-2-22-22-2200002-2-22000000000000
χ242-2-222-2-22-22-220000-222-20000000000002-2-222-2-22-22-220000-222-20000000000002-2-222-2-22-22-220000-222-2000000000000
χ252-2-2-2-22222-2-222-22-200000000000000002-2-2-2-22222-2-222-22-200000000000000002-2-2-2-22222-2-222-22-20000000000000000
χ262-2-2-2-22222-2-22-22-2200000000000000002-2-2-2-22222-2-22-22-2200000000000000002-2-2-2-22222-2-22-22-220000000000000000
χ272-2-2-2-2222-222-22-2-2200000000000000002-2-2-2-2222-222-22-2-2200000000000000002-2-2-2-2222-222-22-2-220000000000000000
χ282-2-2-2-2222-222-2-222-200000000000000002-2-2-2-2222-222-2-222-200000000000000002-2-2-2-2222-222-2-222-20000000000000000
χ2944-44-44-4-400000000000000000000000044-44-44-4-400000000000000000000000044-44-44-4-4000000000000000000000000
χ3044-4-44-44-400000000000000000000000044-4-44-44-400000000000000000000000044-4-44-44-4000000000000000000000000
χ314-444-4-44-40000000000000000000000004-444-4-44-40000000000000000000000004-444-4-44-4000000000000000000000000
χ324-44-444-4-40000000000000000000000004-44-444-4-40000000000000000000000004-44-444-4-4000000000000000000000000
χ3311111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−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
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ37111111111111-1-1-1-11111-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ38111111111111-1-1-1-11111-1-1-1-1-1-111-1-111−1+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+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ39111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+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+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ40111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4111111111-1-1-1-111-1-111-1-111-1-11-11-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ4211111111-1-1-1-111-1-111-1-111-1-1-11-11-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ4311111111-1-1-1-111-1-1-1-111-1-1111-11-1-11-11−1+i32−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ4411111111-1-1-1-111-1-1-1-111-1-111-11-111-11-1−1+i32−1+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+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−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−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ4511111111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ4611111111-1-1-1-1-1-11111-1-1-1-111-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ4711111111-1-1-1-1-1-111-1-11111-1-11-1-11-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ4811111111-1-1-1-1-1-111-1-11111-1-1-111-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+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+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ49222-2-2-2-2222-2-2000000002-22-200000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i300000000−1+i31−i3−1+i31−i300000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i300000000−1−i31+i3−1−i31+i300000000
χ50222-2-2-2-2222-2-200000000-22-2200000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000001−i3−1+i31−i3−1+i300000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000001+i3−1−i31+i3−1−i300000000
χ51222-2-2-2-22-2-222000000002-2-2200000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i300000000−1+i31−i31−i3−1+i300000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i300000000−1−i31+i31+i3−1−i300000000
χ52222-2-2-2-22-2-22200000000-222-200000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000001−i3−1+i3−1+i31−i300000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000001+i3−1−i3−1−i31+i300000000
χ532-2-222-2-222-22-200002-22-2000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000−1+i31−i3−1+i31−i3000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000−1−i31+i3−1−i31+i3000000000000
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χ892-2-2-2-22222-2-222-22-20000000000000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000000000000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000000000000000
χ902-2-2-2-22222-2-22-22-220000000000000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i30000000000000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i30000000000000000
χ912-2-2-2-2222-222-22-2-220000000000000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000000000000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000000000000000
χ922-2-2-2-2222-222-2-222-20000000000000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000000000000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000000000000000
χ9344-44-44-4-4000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i32+2i3000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i32−2i3000000000000000000000000
χ9444-4-44-44-4000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3000000000000000000000000
χ954-444-4-44-4000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3000000000000000000000000
χ964-44-444-4-4000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3000000000000000000000000

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