Finite Group Databasebeta

← Group #845021

Character table — Group #845021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111111111111111111111111111111888888888888888888888888888888888888888888888888888888888888
order12222222222222224444444444444444222222444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ1011111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111
χ1111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1211111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111
χ1411111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1
χ181111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111
χ191111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111
χ201111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1
χ231111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1
χ241111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1-111
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-11111-1-111-1-111-1-1
χ3322222-2-2-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-2000000000000002i−2i2i−2i00002i−2i2i−2i2-22-2000000000000000000000000000000
χ3422222-2-2-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-2000000000000002i−2i2i−2i0000−2i2i−2i2i-22-22000000000000000000000000000000
χ3522222-2-2-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-200000000000000−2i2i−2i2i00002i−2i2i−2i-22-22000000000000000000000000000000
χ3622222-2-2-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-200000000000000−2i2i−2i2i0000−2i2i−2i2i2-22-2000000000000000000000000000000
χ3722222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-222222222000000000000002i−2i−2i2i00002i−2i−2i2i2-2-22000000000000000000000000000000
χ3822222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-222222222000000000000002i−2i−2i2i0000−2i2i2i−2i-222-2000000000000000000000000000000
χ3922222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222222200000000000000−2i2i2i−2i00002i−2i−2i2i-222-2000000000000000000000000000000
χ4022222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222222200000000000000−2i2i2i−2i0000−2i2i2i−2i2-2-22000000000000000000000000000000
χ4122-22-222-2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000002-22i−2i00000000000000000000000000000000002-22i−2i00002-22i−2i
χ4222-22-222-2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000002-22i−2i0000000000000000000000000000000000-22−2i2i0000-22−2i2i
χ4322-22-222-2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000-22−2i2i00000000000000000000000000000000002-22i−2i0000-22−2i2i
χ4422-22-222-2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000-22−2i2i0000000000000000000000000000000000-22−2i2i00002-22i−2i
χ4522-22-222-2-22-22-2-22-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000002-2−2i2i00000000000000000000000000000000002-2−2i2i00002-2−2i2i
χ4622-22-222-2-22-22-2-22-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000002-2−2i2i0000000000000000000000000000000000-222i−2i0000-222i−2i
χ4722-22-222-2-22-22-2-22-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000-222i−2i00000000000000000000000000000000002-2−2i2i0000-222i−2i
χ4822-22-222-2-22-22-2-22-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000-222i−2i0000000000000000000000000000000000-222i−2i00002-2−2i2i
χ4922-2-22-2-2222-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00002-22i−2i2-20000000000000000000000000000000000002i−2i00002i−2i2-20000
χ5022-2-22-2-2222-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00002-2−2i2i-220000000000000000000000000000000000002i−2i0000−2i2i-220000
χ5122-2-22-2-2222-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000-222i−2i2-2000000000000000000000000000000000000−2i2i0000−2i2i-220000
χ5222-2-22-2-2222-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000-22−2i2i-22000000000000000000000000000000000000−2i2i00002i−2i2-20000
χ5322-2-22-2-2222-2-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00002-22i−2i-22000000000000000000000000000000000000−2i2i00002i−2i-220000
χ5422-2-22-2-2222-2-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00002-2−2i2i2-2000000000000000000000000000000000000−2i2i0000−2i2i2-20000
χ5522-2-22-2-2222-2-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000-222i−2i-220000000000000000000000000000000000002i−2i0000−2i2i2-20000
χ5622-2-22-2-2222-2-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000-22−2i2i2-20000000000000000000000000000000000002i−2i00002i−2i-220000
χ572-2-2222-22-222-2-22-2-22-22-22-22-22-22-22-22-20000000000000000002-22-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ582-2-2222-22-222-2-22-2-22-22-22-22-22-22-22-22-20000000000000000002-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ592-2-2222-22-222-2-22-2-22-22-22-22-22-22-22-22-2000000000000000000-22-22000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ602-2-2222-22-222-2-22-2-22-22-22-22-22-22-22-22-2000000000000000000-22-2200000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ612-2-2222-22-222-2-22-2-2-22-22-22-22-22-22-22-220000000000000000002-2-22000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ622-2-2222-22-222-2-22-2-2-22-22-22-22-22-22-22-220000000000000000002-2-2200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ632-2-2222-22-222-2-22-2-2-22-22-22-22-22-22-22-22000000000000000000-222-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ642-2-2222-22-222-2-22-2-2-22-22-22-22-22-22-22-22000000000000000000-222-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ652-2-2-2-22-22-2-2-2222222-2-22-222-2-222-22-2-222-22-200000000000000000000000000000000002-22-22-22-200000000000000
χ662-2-2-2-22-22-2-2-2222222-2-22-222-2-222-22-2-222-2-2200000000000000000000000000000000002-2-22-22-2200000000000000
χ672-2-2-2-22-22-2-2-2222222-2-22-222-2-222-22-2-22-222-20000000000000000000000000000000000-222-2-22-2200000000000000
χ682-2-2-2-22-22-2-2-2222222-2-22-222-2-222-22-2-22-22-220000000000000000000000000000000000-22-222-22-200000000000000
χ692-2-2-2-22-22-2-2-222222-222-22-2-222-2-22-222-22-22-20000000000000000000000000000000000-22-222-2-2200000000000000
χ702-2-2-2-22-22-2-2-222222-222-22-2-222-2-22-222-22-2-220000000000000000000000000000000000-222-2-222-200000000000000
χ712-2-2-2-22-22-2-2-222222-222-22-2-222-2-22-222-2-222-200000000000000000000000000000000002-2-22-222-200000000000000
χ722-2-2-2-22-22-2-2-222222-222-22-2-222-2-22-222-2-22-2200000000000000000000000000000000002-22-22-2-2200000000000000
χ73444-4-44444-4-4-4-44-4-444-4-4-4-444-4-44444-4-4000000000000000000000000000000000000000000000000000000000000
χ74444-4-44444-4-4-4-44-4-4-4-44444-4-444-4-4-4-444000000000000000000000000000000000000000000000000000000000000
χ75444-4-4-4-4-4-444-4-444444-4-4-4-44444-4-4-4-444000000000000000000000000000000000000000000000000000000000000
χ76444-4-4-4-4-4-444-4-4444-4-44444-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000
χ7744-44-4-4-444-444-4-4-444i4i4i4i−4i−4i−4i−4i−4i−4i−4i−4i4i4i4i4i000000000000000000000000000000000000000000000000000000000000
χ7844-44-4-4-444-444-4-4-44−4i−4i−4i−4i4i4i4i4i4i4i4i4i−4i−4i−4i−4i000000000000000000000000000000000000000000000000000000000000
χ7944-4-4444-4-4-44-44-4-444i4i−4i−4i4i4i−4i−4i−4i−4i4i4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000
χ8044-4-4444-4-4-44-44-4-44−4i−4i4i4i−4i−4i4i4i4i4i−4i−4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000
χ814-444-44-4-444-4-44-4-444i−4i4i−4i−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ824-444-44-4-444-4-44-4-44−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ834-444-4-444-4-44-44-44-44i−4i4i−4i−4i4i−4i4i−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ844-444-4-444-4-44-44-44-4−4i4i−4i4i4i−4i4i−4i4i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ854-44-444-4-44-444-4-44-44i−4i−4i4i4i−4i−4i4i−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ864-44-444-4-44-444-4-44-4−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ874-44-44-444-44-44-4-4-444i−4i−4i4i4i−4i−4i4i4i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ884-44-44-444-44-44-4-4-44−4i4i4i−4i−4i4i4i−4i−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ894-4-444-44-44-4-4-4-44444-44-44-44-4-44-44-44-44000000000000000000000000000000000000000000000000000000000000
χ904-4-444-44-44-4-4-4-4444-44-44-44-444-44-44-44-4000000000000000000000000000000000000000000000000000000000000
χ914-4-4-4-4-44-4444444-4-44-4-44-444-44-4-44-444-4000000000000000000000000000000000000000000000000000000000000
χ924-4-4-4-4-44-4444444-4-4-444-44-4-44-444-44-4-44000000000000000000000000000000000000000000000000000000000000

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