Finite Group Databasebeta

← Group #6433766

Character table — Group #6433766

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222224444444444444444444444441616161616161616111111112222222222224444444444444444444444441616161616161616
order12222222222244444444444444448888888888888888444444442222222222224444444444444444888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1
χ911111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-11
χ1011111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1
χ1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-1
χ1211111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-11
χ1311111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-11-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-11-1-1
χ1411111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11-11111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11-111
χ1511111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1111
χ1611111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-1
χ17222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-2-2-22200000000000000000000000022222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ21222-22-2-2-222-2-200000000002-2002-222−2−222−2−222−2−222−2−200000000222-22-2-2-222-2-200000000002-2002-222−2−222−2−222−2−222−2−200000000
χ22222-22-2-2-222-2-200000000002-2002-2−2−222−2−222−2−222−2−22200000000222-22-2-2-222-2-200000000002-2002-2−2−222−2−222−2−222−2−22200000000
χ23222-22-2-2-222-2-20000000000-2200-2222−2−222−2−2−2−222−2−22200000000222-22-2-2-222-2-20000000000-2200-2222−2−222−2−2−2−222−2−22200000000
χ24222-22-2-2-222-2-20000000000-2200-22−2−222−2−22222−2−222−2−200000000222-22-2-2-222-2-20000000000-2200-22−2−222−2−22222−2−222−2−200000000
χ25222-22-2-2-2-2-22200000000002-200-2222−2−2−2−22222−2−2−2−22200000000222-22-2-2-2-2-22200000000002-200-2222−2−2−2−22222−2−2−2−22200000000
χ26222-22-2-2-2-2-22200000000002-200-22−2−22222−2−2−2−22222−2−200000000222-22-2-2-2-2-22200000000002-200-22−2−22222−2−2−2−22222−2−200000000
χ27222-22-2-2-2-2-2220000000000-22002-222−2−2−2−222−2−22222−2−200000000222-22-2-2-2-2-2220000000000-22002-222−2−2−2−222−2−22222−2−200000000
χ28222-22-2-2-2-2-2220000000000-22002-2−2−22222−2−222−2−2−2−22200000000222-22-2-2-2-2-2220000000000-22002-2−2−22222−2−222−2−2−2−22200000000
χ2922-22-22-2-22-22-2000000002-2002-2002−22−22−22−22−22−22−22−20000000022-22-22-2-22-22-2000000002-2002-2002−22−22−22−22−22−22−22−200000000
χ3022-22-22-2-22-22-2000000002-2002-200−22−22−22−22−22−22−22−220000000022-22-22-2-22-22-2000000002-2002-200−22−22−22−22−22−22−22−2200000000
χ3122-22-22-2-22-22-200000000-2200-22002−22−22−22−2−22−22−22−220000000022-22-22-2-22-22-200000000-2200-22002−22−22−22−2−22−22−22−2200000000
χ3222-22-22-2-22-22-200000000-2200-2200−22−22−22−222−22−22−22−20000000022-22-22-2-22-22-200000000-2200-2200−22−22−22−222−22−22−22−200000000
χ3322-22-22-2-2-22-22000000002-200-22002−22−2−22−222−22−2−22−220000000022-22-22-2-2-22-22000000002-200-22002−22−2−22−222−22−2−22−2200000000
χ3422-22-22-2-2-22-22000000002-200-2200−22−222−22−2−22−222−22−20000000022-22-22-2-2-22-22000000002-200-2200−22−222−22−2−22−222−22−200000000
χ3522-22-22-2-2-22-2200000000-22002-2002−22−2−22−22−22−222−22−20000000022-22-22-2-2-22-2200000000-22002-2002−22−2−22−22−22−222−22−200000000
χ3622-22-22-2-2-22-2200000000-22002-200−22−222−22−22−22−2−22−220000000022-22-22-2-2-22-2200000000-22002-200−22−222−22−22−22−2−22−2200000000
χ3722-2-2-2-2222-2-222-222-2-22-200000000000000002-2-222-2-220000000022-2-2-2-2222-2-222-222-2-22-200000000000000002-2-222-2-2200000000
χ3822-2-2-2-2222-2-222-222-2-22-20000000000000000-222-2-222-20000000022-2-2-2-2222-2-222-222-2-22-20000000000000000-222-2-222-200000000
χ3922-2-2-2-2222-2-22-22-2-222-22000000002-2-222-2-22000000000000000022-2-2-2-2222-2-22-22-2-222-22000000002-2-222-2-220000000000000000
χ4022-2-2-2-2222-2-22-22-2-222-2200000000-222-2-222-2000000000000000022-2-2-2-2222-2-22-22-2-222-2200000000-222-2-222-20000000000000000
χ4122-2-2-2-222-222-22-2-2-2222-200000000000000002-2-22-222-20000000022-2-2-2-222-222-22-2-2-2222-200000000000000002-2-22-222-200000000
χ4222-2-2-2-222-222-22-2-2-2222-20000000000000000-222-22-2-220000000022-2-2-2-222-222-22-2-2-2222-20000000000000000-222-22-2-2200000000
χ4322-2-2-2-222-222-2-2222-2-2-22000000002-2-22-222-2000000000000000022-2-2-2-222-222-2-2222-2-2-22000000002-2-22-222-20000000000000000
χ4422-2-2-2-222-222-2-2222-2-2-2200000000-222-22-2-22000000000000000022-2-2-2-222-222-2-2222-2-2-2200000000-222-22-2-220000000000000000
χ454-444-4-4-440000440000-4-4000000000000000000000000000000004-444-4-4-440000440000-4-400000000000000000000000000000000
χ464-444-4-4-440000-4-4000044000000000000000000000000000000004-444-4-4-440000-4-400004400000000000000000000000000000000
χ474-44-4-444-40000004i−4i4i−4i00000000000000000000000000000000004-44-4-444-40000004i−4i4i−4i0000000000000000000000000000000000
χ484-44-4-444-4000000−4i4i−4i4i00000000000000000000000000000000004-44-4-444-4000000−4i4i−4i4i0000000000000000000000000000000000
χ494-4-444-44-40000004i−4i−4i4i00000000000000000000000000000000004-4-444-44-40000004i−4i−4i4i0000000000000000000000000000000000
χ504-4-444-44-4000000−4i4i4i−4i00000000000000000000000000000000004-4-444-44-4000000−4i4i4i−4i0000000000000000000000000000000000
χ514-4-4-444-4400004-40000-44000000000000000000000000000000004-4-4-444-4400004-40000-4400000000000000000000000000000000
χ524-4-4-444-440000-4400004-4000000000000000000000000000000004-4-4-444-440000-4400004-400000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ551111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11-11-11
χ5811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-11-11-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-111-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-11
χ6111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11111-1
χ6211111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-11
χ6311111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-111-11
χ6411111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-11-1-11-1
χ6511111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11-111
χ6611111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-11-1-1
χ6711111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-1-1
χ6811111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111
χ69222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-222000000000000000000000000
χ70222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2000000000000000000000000
χ7122222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000
χ7222222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-222000000000000000000000000
χ73222-22-2-2-222-2-200000000002-2002-222−2−222−2−222−2−222−2−200000000-2-2-22-2222-2-2220000000000-2200-22−2−222−2−222−2−222−2−22200000000
χ74222-22-2-2-222-2-200000000002-2002-2−2−222−2−222−2−222−2−22200000000-2-2-22-2222-2-2220000000000-2200-2222−2−222−2−222−2−222−2−200000000
χ75222-22-2-2-222-2-20000000000-2200-2222−2−222−2−2−2−222−2−22200000000-2-2-22-2222-2-22200000000002-2002-2−2−222−2−22222−2−222−2−200000000
χ76222-22-2-2-222-2-20000000000-2200-22−2−222−2−22222−2−222−2−200000000-2-2-22-2222-2-22200000000002-2002-222−2−222−2−2−2−222−2−22200000000
χ77222-22-2-2-2-2-22200000000002-200-2222−2−2−2−22222−2−2−2−22200000000-2-2-22-222222-2-20000000000-22002-2−2−22222−2−2−2−22222−2−200000000
χ78222-22-2-2-2-2-22200000000002-200-22−2−22222−2−2−2−22222−2−200000000-2-2-22-222222-2-20000000000-22002-222−2−2−2−22222−2−2−2−22200000000
χ79222-22-2-2-2-2-2220000000000-22002-222−2−2−2−222−2−22222−2−200000000-2-2-22-222222-2-200000000002-200-22−2−22222−2−222−2−2−2−22200000000
χ80222-22-2-2-2-2-2220000000000-22002-2−2−22222−2−222−2−2−2−22200000000-2-2-22-222222-2-200000000002-200-2222−2−2−2−222−2−22222−2−200000000
χ8122-22-22-2-22-22-2000000002-2002-2002−22−22−22−22−22−22−22−200000000-2-22-22-222-22-2200000000-2200-2200−22−22−22−22−22−22−22−2200000000
χ8222-22-22-2-22-22-2000000002-2002-200−22−22−22−22−22−22−22−2200000000-2-22-22-222-22-2200000000-2200-22002−22−22−22−22−22−22−22−200000000
χ8322-22-22-2-22-22-200000000-2200-22002−22−22−22−2−22−22−22−2200000000-2-22-22-222-22-22000000002-2002-200−22−22−22−222−22−22−22−200000000
χ8422-22-22-2-22-22-200000000-2200-2200−22−22−22−222−22−22−22−200000000-2-22-22-222-22-22000000002-2002-2002−22−22−22−2−22−22−22−2200000000
χ8522-22-22-2-2-22-22000000002-200-22002−22−2−22−222−22−2−22−2200000000-2-22-22-2222-22-200000000-22002-200−22−222−22−2−22−222−22−200000000
χ8622-22-22-2-2-22-22000000002-200-2200−22−222−22−2−22−222−22−200000000-2-22-22-2222-22-200000000-22002-2002−22−2−22−222−22−2−22−2200000000
χ8722-22-22-2-2-22-2200000000-22002-2002−22−2−22−22−22−222−22−200000000-2-22-22-2222-22-2000000002-200-2200−22−222−22−22−22−2−22−2200000000
χ8822-22-22-2-2-22-2200000000-22002-200−22−222−22−22−22−2−22−2200000000-2-22-22-2222-22-2000000002-200-22002−22−2−22−22−22−222−22−200000000
χ8922-2-2-2-2222-2-222-222-2-22-200000000000000002-2-222-2-2200000000-2-22222-2-2-222-2-22-2-222-220000000000000000-222-2-222-200000000
χ9022-2-2-2-2222-2-222-222-2-22-20000000000000000-222-2-222-200000000-2-22222-2-2-222-2-22-2-222-2200000000000000002-2-222-2-2200000000
χ9122-2-2-2-2222-2-22-22-2-222-22000000002-2-222-2-220000000000000000-2-22222-2-2-222-22-222-2-22-200000000-222-2-222-20000000000000000
χ9222-2-2-2-2222-2-22-22-2-222-2200000000-222-2-222-20000000000000000-2-22222-2-2-222-22-222-2-22-2000000002-2-222-2-220000000000000000
χ9322-2-2-2-222-222-22-2-2-2222-200000000000000002-2-22-222-200000000-2-22222-2-22-2-22-2222-2-2-220000000000000000-222-22-2-2200000000
χ9422-2-2-2-222-222-22-2-2-2222-20000000000000000-222-22-2-2200000000-2-22222-2-22-2-22-2222-2-2-2200000000000000002-2-22-222-200000000
χ9522-2-2-2-222-222-2-2222-2-2-22000000002-2-22-222-20000000000000000-2-22222-2-22-2-222-2-2-2222-200000000-222-22-2-220000000000000000
χ9622-2-2-2-222-222-2-2222-2-2-2200000000-222-22-2-220000000000000000-2-22222-2-22-2-222-2-2-2222-2000000002-2-22-222-20000000000000000
χ974-444-4-4-440000440000-4-400000000000000000000000000000000-44-4-4444-40000-4-400004400000000000000000000000000000000
χ984-444-4-4-440000-4-400004400000000000000000000000000000000-44-4-4444-40000440000-4-400000000000000000000000000000000
χ994-44-4-444-40000004i−4i4i−4i0000000000000000000000000000000000-44-444-4-44000000−4i4i−4i4i0000000000000000000000000000000000
χ1004-44-4-444-4000000−4i4i−4i4i0000000000000000000000000000000000-44-444-4-440000004i−4i4i−4i0000000000000000000000000000000000
χ1014-4-444-44-40000004i−4i−4i4i0000000000000000000000000000000000-444-4-44-44000000−4i4i4i−4i0000000000000000000000000000000000
χ1024-4-444-44-4000000−4i4i4i−4i0000000000000000000000000000000000-444-4-44-440000004i−4i−4i4i0000000000000000000000000000000000
χ1034-4-4-444-4400004-40000-4400000000000000000000000000000000-4444-4-44-40000-4400004-400000000000000000000000000000000
χ1044-4-4-444-440000-4400004-400000000000000000000000000000000-4444-4-44-400004-40000-4400000000000000000000000000000000

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