Finite Group Databasebeta

← Group #6883375

Character table — Group #6883375

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11111111222222222222222244444444444444444444444444444488888888888888888888161616161616161616161616
order12222222444444444444444422444444444444888888888888888844444444444488888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ911111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111
χ1111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1211111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ1311111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111
χ1411111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ1511111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1
χ1611111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ171111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ181111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-11111-1-111-1-1-11-11-11-11-11-11
χ191111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111-1-111-1-1111-11-1-111-1-11-11
χ201111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-11111-1-1-1-111-1-111-11-111-1-111-11-1
χ211111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-11-111-11-1-11-11
χ221111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-1111-11-1-11-111-11-1
χ231111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-11111-1-111-1-1-11-11-111-11-11-1
χ241111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-11-11-1-11111-1-111-1-111-1-11-11-11-1-11-11-11
χ251111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-111-1-1-1-1111-1-11-11-111-1-11
χ261111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-11111-1-1-1-111-111-11-11-1-111-1
χ271111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-11-1-111-1-11-111-1
χ281111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-111-1-111-11-1-11
χ291111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-111-111-1-111-1-1-1-11111-1-1-111-1-11-11-111-1
χ301111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-11111-1-11-1-111-11-11-1-11
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-111-111-11-1-111-1-11
χ321111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-111-1-1-1-1111-1-11-111-1-111-1
χ3322222222-2-222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000000000000-22-220000000000000000000000000000
χ3422222222-2-222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000002-22-20000000000000000000000000000
χ3522222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2220000000000000000-222-20000000000000000000000000000
χ3622222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-200000000000000002-2-220000000000000000000000000000
χ3722222222-2-2-2-2-2-222222222-2-2-2-2222222-2-222220000000000000000-2-2-2-20000000000000000000000000000
χ3822222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2000000000000000022220000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-20000000000000000-2-2220000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-222000000000000000022-2-20000000000000000000000000000
χ412-222-2-22-200000022-2-22i2i−2i−2i00002i−2i2i−2i2i−2i002-22-2i2i2−i2−i222−2−2i2i2−i2−i222−2−20000000000002−2i2−i22−2i2−i2000000000000
χ422-222-2-22-200000022-2-22i2i−2i−2i00002i−2i2i−2i2i−2i002-22-2−i2−i2i2i2−2−222−i2−i2i2i2−2−222000000000000−22−i2i2−22−i2i2000000000000
χ432-222-2-22-200000022-2-22i2i−2i−2i0000−2i2i−2i2i2i−2i00-22-22i2i2−i2−i222−2−2i2i2−i2−i222−2−2000000000000−22−i2i2−22−i2i2000000000000
χ442-222-2-22-200000022-2-22i2i−2i−2i0000−2i2i−2i2i2i−2i00-22-22−i2−i2i2i2−2−222−i2−i2i2i2−2−2220000000000002−2i2−i22−2i2−i2000000000000
χ452-222-2-22-200000022-2-2−2i−2i2i2i00002i−2i2i−2i−2i2i00-22-22i2i2−i2−i2−2−222i2i2−i2−i2−2−2220000000000002−2−i2i22−2−i2i2000000000000
χ462-222-2-22-200000022-2-2−2i−2i2i2i00002i−2i2i−2i−2i2i00-22-22−i2−i2i2i222−2−2−i2−i2i2i222−2−2000000000000−22i2−i2−22i2−i2000000000000
χ472-222-2-22-200000022-2-2−2i−2i2i2i0000−2i2i−2i2i−2i2i002-22-2i2i2−i2−i2−2−222i2i2−i2−i2−2−222000000000000−22i2−i2−22i2−i2000000000000
χ482-222-2-22-200000022-2-2−2i−2i2i2i0000−2i2i−2i2i−2i2i002-22-2−i2−i2i2i222−2−2−i2−i2i2i222−2−20000000000002−2−i2i22−2−i2i2000000000000
χ492-222-2-22-2000000-2-2222i2i−2i−2i00002i−2i−2i2i−2i2i002-2-22i2i2−i2−i222−2−2−i2−i2i2i2−2−2220000000000002−2i2−i2−22−i2i2000000000000
χ502-222-2-22-2000000-2-2222i2i−2i−2i00002i−2i−2i2i−2i2i002-2-22−i2−i2i2i2−2−222i2i2−i2−i222−2−2000000000000−22−i2i22−2i2−i2000000000000
χ512-222-2-22-2000000-2-2222i2i−2i−2i0000−2i2i2i−2i−2i2i00-222-2i2i2−i2−i222−2−2−i2−i2i2i2−2−222000000000000−22−i2i22−2i2−i2000000000000
χ522-222-2-22-2000000-2-2222i2i−2i−2i0000−2i2i2i−2i−2i2i00-222-2−i2−i2i2i2−2−222i2i2−i2−i222−2−20000000000002−2i2−i2−22−i2i2000000000000
χ532-222-2-22-2000000-2-222−2i−2i2i2i00002i−2i−2i2i2i−2i00-222-2i2i2−i2−i2−2−222−i2−i2i2i222−2−20000000000002−2−i2i2−22i2−i2000000000000
χ542-222-2-22-2000000-2-222−2i−2i2i2i00002i−2i−2i2i2i−2i00-222-2−i2−i2i2i222−2−2i2i2−i2−i2−2−222000000000000−22i2−i22−2−i2i2000000000000
χ552-222-2-22-2000000-2-222−2i−2i2i2i0000−2i2i2i−2i2i−2i002-2-22i2i2−i2−i2−2−222−i2−i2i2i222−2−2000000000000−22i2−i22−2−i2i2000000000000
χ562-222-2-22-2000000-2-222−2i−2i2i2i0000−2i2i2i−2i2i−2i002-2-22−i2−i2i2i222−2−2i2i2−i2−i2−2−2220000000000002−2−i2i2−22i2−i2000000000000
χ572-2-2-2222-22-22i2i−2i−2i00002i−2i2i−2i2-2000000000000002-22-22i−2i2i−2i0000000000002i−2i2-22i−2i2-200000000000000000000
χ582-2-2-2222-22-22i2i−2i−2i00002i−2i2i−2i2-2000000000000002-22-22i−2i2i−2i000000000000−2i2i-22−2i2i-2200000000000000000000
χ592-2-2-2222-22-22i2i−2i−2i00002i−2i2i−2i2-200000000000000-22-22−2i2i−2i2i0000000000002i−2i2-2−2i2i-2200000000000000000000
χ602-2-2-2222-22-22i2i−2i−2i00002i−2i2i−2i2-200000000000000-22-22−2i2i−2i2i000000000000−2i2i-222i−2i2-200000000000000000000
χ612-2-2-2222-22-2−2i−2i2i2i0000−2i2i−2i2i2-2000000000000002-22-2−2i2i−2i2i0000000000002i−2i-222i−2i-2200000000000000000000
χ622-2-2-2222-22-2−2i−2i2i2i0000−2i2i−2i2i2-2000000000000002-22-2−2i2i−2i2i000000000000−2i2i2-2−2i2i2-200000000000000000000
χ632-2-2-2222-22-2−2i−2i2i2i0000−2i2i−2i2i2-200000000000000-22-222i−2i2i−2i0000000000002i−2i-22−2i2i2-200000000000000000000
χ642-2-2-2222-22-2−2i−2i2i2i0000−2i2i−2i2i2-200000000000000-22-222i−2i2i−2i000000000000−2i2i2-22i−2i-2200000000000000000000
χ65444-44-4-4-4004-44-44-44-40000004-4000000000000000000000000000000000000000000000000000000000000
χ66444-44-4-4-4004-44-4-44-44000000-44000000000000000000000000000000000000000000000000000000000000
χ67444-44-4-4-400-44-444-44-4000000-44000000000000000000000000000000000000000000000000000000000000
χ68444-44-4-4-400-44-44-44-440000004-4000000000000000000000000000000000000000000000000000000000000
χ6944-44-44-4-44-4000000000000-4400000000000000000000004-44-4000000000000000000000000000000000000
χ7044-44-44-4-44-4000000000000-440000000000000000000000-44-44000000000000000000000000000000000000
χ7144-44-44-4-4-440000000000004-4000000000000000000000000004-44-400000000000000000000000000000000
χ7244-44-44-4-4-440000000000004-400000000000000000000000000-44-4400000000000000000000000000000000
χ7344-4-4-4-44400000000004-4-4400000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ7444-4-4-4-44400000000004-4-440000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ7544-4-4-4-4440000000000-444-400000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ7644-4-4-4-4440000000000-444-40000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ774-44-4-44-444400004-4-440000-4-4000000004-40000000000000000000000000000000000000000000000000000
χ784-44-4-44-44440000-444-40000-4-400000000-440000000000000000000000000000000000000000000000000000
χ794-44-4-44-44-4-400004-4-4400004400000000-440000000000000000000000000000000000000000000000000000
χ804-44-4-44-44-4-40000-444-4000044000000004-40000000000000000000000000000000000000000000000000000
χ814-4-444-4-44004i−4i−4i4i000000000000000000000000000000002i2−2i2−2i22i222−22−222200000000000000000000000000000000
χ824-4-444-4-44004i−4i−4i4i00000000000000000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000000000000000
χ834-4-444-4-4400−4i4i4i−4i000000000000000000000000000000002i2−2i2−2i22i2−222222−2200000000000000000000000000000000
χ844-4-444-4-4400−4i4i4i−4i00000000000000000000000000000000−2i22i22i2−2i222−22−222200000000000000000000000000000000
χ854-4-4-4444-4-444i4i−4i−4i0000−4i4i−4i4i-4400000000000000000000000000000000000000000000000000000000000000
χ864-4-4-4444-4-44−4i−4i4i4i00004i−4i4i−4i-4400000000000000000000000000000000000000000000000000000000000000

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