Finite Group Databasebeta

← Group #705151

Character table — Group #705151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111111111111111122222222444444444444444444444444888888888888888888888888888888888888888816161616
order12222222222222224444444422224444444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-111-1-1
χ10111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-111
χ11111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111
χ12111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-111
χ171111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1
χ181111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1111-1-11
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-11111-1-111-1-11-1-11
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-111-111-1
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-1-11
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1-111-1
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-111-1
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11-1-11
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-11-11
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-11111-1-11-11-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1111-11-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-11-11
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-11-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111-11-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-11-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1111111-1-1-1-1111-11-1
χ3322-2222-2-2-2-22-2-2-2222222-2-2-2-222-2-2000000002i2i−2i−2i22-2-22i2i−2i−2i0000002i−2i000000002i−2i00000000000000000000000000
χ3422-2222-2-2-2-22-2-2-2222222-2-2-2-222-2-200000000−2i−2i2i2i22-2-2−2i−2i2i2i000000−2i2i00000000−2i2i00000000000000000000000000
χ3522-2222-2-2-2-22-2-2-2222222-2-2-2-2-2-222000000002i2i−2i−2i-2-222−2i−2i2i2i000000−2i2i000000002i−2i00000000000000000000000000
χ3622-2222-2-2-2-22-2-2-2222222-2-2-2-2-2-22200000000−2i−2i2i2i-2-2222i2i−2i−2i0000002i−2i00000000−2i2i00000000000000000000000000
χ3722-2222-2-2-2-22-2-2-222-2-2-2-2222222-2-2000000002i2i−2i−2i-2-222−2i−2i2i2i0000002i−2i00000000−2i2i00000000000000000000000000
χ3822-2222-2-2-2-22-2-2-222-2-2-2-2222222-2-200000000−2i−2i2i2i-2-2222i2i−2i−2i000000−2i2i000000002i−2i00000000000000000000000000
χ3922-2222-2-2-2-22-2-2-222-2-2-2-22222-2-222000000002i2i−2i−2i22-2-22i2i−2i−2i000000−2i2i00000000−2i2i00000000000000000000000000
χ4022-2222-2-2-2-22-2-2-222-2-2-2-22222-2-22200000000−2i−2i2i2i22-2-2−2i−2i2i2i0000002i−2i000000002i−2i00000000000000000000000000
χ4122-22-2-2-222-2222-2-2-222-2-222-2-2000022-2-222-2-200000000000000002i−2i0000000000000000000000002i−2i00002i−2i2i−2i0000
χ4222-22-2-2-222-2222-2-2-222-2-222-2-2000022-2-222-2-20000000000000000−2i2i000000000000000000000000−2i2i0000−2i2i−2i2i0000
χ4322-22-2-2-222-2222-2-2-222-2-222-2-20000-2-222-2-22200000000000000002i−2i0000000000000000000000002i−2i0000−2i2i−2i2i0000
χ4422-22-2-2-222-2222-2-2-222-2-222-2-20000-2-222-2-2220000000000000000−2i2i000000000000000000000000−2i2i00002i−2i2i−2i0000
χ4522-22-2-2-222-2222-2-2-2-2-222-2-222000022-2-2-2-22200000000000000002i−2i000000000000000000000000−2i2i0000−2i2i2i−2i0000
χ4622-22-2-2-222-2222-2-2-2-2-222-2-222000022-2-2-2-2220000000000000000−2i2i0000000000000000000000002i−2i00002i−2i−2i2i0000
χ4722-22-2-2-222-2222-2-2-2-2-222-2-2220000-2-22222-2-200000000000000002i−2i000000000000000000000000−2i2i00002i−2i−2i2i0000
χ4822-22-2-2-222-2222-2-2-2-2-222-2-2220000-2-22222-2-20000000000000000−2i2i0000000000000000000000002i−2i0000−2i2i2i−2i0000
χ492-2222-2-22-2-2-22-222-22i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i2-22-200002i−2i2i−2i00000000000000002i−2i2-20000000000000000000000000000
χ502-2222-2-22-2-2-22-222-22i−2i2i−2i2i−2i2i−2i2-22-2−2i2i−2i2i-22-2200002i−2i2i−2i0000000000000000−2i2i-220000000000000000000000000000
χ512-2222-2-22-2-2-22-222-22i−2i2i−2i2i−2i2i−2i-22-222i−2i2i−2i2-22-20000−2i2i−2i2i0000000000000000−2i2i-220000000000000000000000000000
χ522-2222-2-22-2-2-22-222-22i−2i2i−2i2i−2i2i−2i-22-22−2i2i−2i2i-22-220000−2i2i−2i2i00000000000000002i−2i2-20000000000000000000000000000
χ532-2222-2-22-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-22-22i−2i2i−2i-22-220000−2i2i−2i2i00000000000000002i−2i-220000000000000000000000000000
χ542-2222-2-22-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i2-22-20000−2i2i−2i2i0000000000000000−2i2i2-20000000000000000000000000000
χ552-2222-2-22-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i-22-222i−2i2i−2i-22-2200002i−2i2i−2i0000000000000000−2i2i2-20000000000000000000000000000
χ562-2222-2-22-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i-22-22−2i2i−2i2i2-22-200002i−2i2i−2i00000000000000002i−2i-220000000000000000000000000000
χ572-2-222-22-222-2-22-22-22i−2i2i−2i−2i2i−2i2i2-2-220000000000002i−2i−2i2i00002-200000000000000002i−2i00002-22i−2i0000000000000000
χ582-2-222-22-222-2-22-22-22i−2i2i−2i−2i2i−2i2i2-2-220000000000002i−2i−2i2i0000-220000000000000000−2i2i0000-22−2i2i0000000000000000
χ592-2-222-22-222-2-22-22-22i−2i2i−2i−2i2i−2i2i-222-2000000000000−2i2i2i−2i00002-200000000000000002i−2i0000-22−2i2i0000000000000000
χ602-2-222-22-222-2-22-22-22i−2i2i−2i−2i2i−2i2i-222-2000000000000−2i2i2i−2i0000-220000000000000000−2i2i00002-22i−2i0000000000000000
χ612-2-222-22-222-2-22-22-2−2i2i−2i2i2i−2i2i−2i2-2-22000000000000−2i2i2i−2i00002-20000000000000000−2i2i00002-2−2i2i0000000000000000
χ622-2-222-22-222-2-22-22-2−2i2i−2i2i2i−2i2i−2i2-2-22000000000000−2i2i2i−2i0000-2200000000000000002i−2i0000-222i−2i0000000000000000
χ632-2-222-22-222-2-22-22-2−2i2i−2i2i2i−2i2i−2i-222-20000000000002i−2i−2i2i00002-20000000000000000−2i2i0000-222i−2i0000000000000000
χ642-2-222-22-222-2-22-22-2−2i2i−2i2i2i−2i2i−2i-222-20000000000002i−2i−2i2i0000-2200000000000000002i−2i00002-2−2i2i0000000000000000
χ652-2-22-2222-22-22-2-2-222i−2i−2i2i2i−2i−2i2i00002i−2i−2i2i2-2-22000000000000002-20000000000000000000000002i−2i002i−2i2-200000000
χ662-2-22-2222-22-22-2-2-222i−2i−2i2i2i−2i−2i2i00002i−2i−2i2i2-2-2200000000000000-22000000000000000000000000−2i2i00−2i2i-2200000000
χ672-2-22-2222-22-22-2-2-222i−2i−2i2i2i−2i−2i2i0000−2i2i2i−2i-222-2000000000000002-20000000000000000000000002i−2i00−2i2i-2200000000
χ682-2-22-2222-22-22-2-2-222i−2i−2i2i2i−2i−2i2i0000−2i2i2i−2i-222-200000000000000-22000000000000000000000000−2i2i002i−2i2-200000000
χ692-2-22-2222-22-22-2-2-22−2i2i2i−2i−2i2i2i−2i00002i−2i−2i2i-222-2000000000000002-2000000000000000000000000−2i2i002i−2i-2200000000
χ702-2-22-2222-22-22-2-2-22−2i2i2i−2i−2i2i2i−2i00002i−2i−2i2i-222-200000000000000-220000000000000000000000002i−2i00−2i2i2-200000000
χ712-2-22-2222-22-22-2-2-22−2i2i2i−2i−2i2i2i−2i0000−2i2i2i−2i2-2-22000000000000002-2000000000000000000000000−2i2i00−2i2i2-200000000
χ722-2-22-2222-22-22-2-2-22−2i2i2i−2i−2i2i2i−2i0000−2i2i2i−2i2-2-2200000000000000-220000000000000000000000002i−2i002i−2i-2200000000
χ734444-4-44-4-444-4-44-4-444-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ744444-4-44-4-444-4-44-4-4-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ75444-444-4-4-44-444-4-4-400000000000000000000000000000000000000004-40000000000000000000000000000000000
χ76444-444-4-4-44-444-4-4-40000000000000000000000000000000000000000-440000000000000000000000000000000000
χ77444-4-4-4-4444-4-4-4-44400000000000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000
χ78444-4-4-4-4444-4-4-4-4440000000000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000
χ7944-4-444444-4-4-4-44-4-400000000000000000000000000000000000000000000000000004-40000000000000000000000
χ8044-4-444444-4-4-4-44-4-40000000000000000000000000000000000000000000000000000-440000000000000000000000
χ8144-4-4-4-44-4-4-4-44444400000000000000000000000000004-4-4400000000000000000000000000000000000000000000
χ8244-4-4-4-44-4-4-4-4444440000000000000000000000000000-444-400000000000000000000000000000000000000000000
χ834-444-44-4-44-4-4-444-444i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ844-444-44-4-44-4-4-444-44−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ854-44-44-44-44-444-4-4-440000000000000000000000000000000000000000004i−4i00000000000000000000000000000000
χ864-44-44-44-44-444-4-4-44000000000000000000000000000000000000000000−4i4i00000000000000000000000000000000
χ874-44-4-4444-4-44-44-44-4000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ884-44-4-4444-4-44-44-44-400000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ894-4-4-44-4-44-444-444-440000000000000000000000000000000000000000000000000000004-400000000000000000000
χ904-4-4-44-4-44-444-444-44000000000000000000000000000000000000000000000000000000-4400000000000000000000
χ914-4-4-4-44-4-44444-444-4000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ924-4-4-4-44-4-44444-444-400000000000000000000-444-40000000000000000000000000000000000000000000000000000

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