Finite Group Databasebeta

← Group #348704

Character table — Group #348704

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444222222224444444444444422224444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ1311111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-222222-20000222222-2-2-200002222-20000-20000-2-2-2-20000000000000000000000
χ1822222222222-2-2-222222-20000-2-2-2-222-2-2-20000-2-2-2-2-20000-2000022220000000000000000000000
χ1922222222222-2-2-2-2-2-2-22-200002222-2-222-20000-2-2-2-2-2000020000-2-2220000000000000000000000
χ2022222222222-2-2-2-2-2-2-22-20000-2-2-2-2-2-222-200002222-200002000022-2-20000000000000000000000
χ2122222222-2-2-22222222-2222220000-2-222-222220000-20000-2-2-2-2-200000000000000000000000000
χ2222222222-2-2-22222222-22-2-2-2-20000-2-222-2-2-2-2-20000-20000-2222200000000000000000000000000
χ2322222222-2-2-2222-2-2-2-2-222222000022-2-2-2-2-2-2-20000-200002-2-22200000000000000000000000000
χ2422222222-2-2-2222-2-2-2-2-22-2-2-2-2000022-2-2-222220000-20000222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-200000000-2-2-2-2200000000222-2-220000000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-22222-2-200000000-2-2-2-22000000002-2-222200000000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222200000000222-2-2-200000000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-20000000022222000000002-2-222-20000000022-2-2000000000000000000
χ292-222-2-22-200022-222-2-20-222-2-20000002-2022-2-20000000000000000000000i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2000000
χ302-222-2-22-200022-222-2-20-222-2-20000002-2022-2-20000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2000000
χ312-222-2-22-200022-222-2-20-2-2-2220000002-20-2-2220000000000000000000000i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2000000
χ322-222-2-22-200022-222-2-20-2-2-2220000002-20-2-2220000000000000000000000−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2000000
χ332-222-2-22-200022-2-2-2220-222-2-2000000-220-2-2220000000000000000000000i2i2−i2−i2−i2−i2i2i2i2−i2−i2i2000000
χ342-222-2-22-200022-2-2-2220-222-2-2000000-220-2-2220000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2i2i2−i2000000
χ352-222-2-22-200022-2-2-2220-2-2-222000000-22022-2-20000000000000000000000i2i2−i2−i2−i2−i2i2i2−i2i2i2−i2000000
χ362-222-2-22-200022-2-2-2220-2-2-222000000-22022-2-20000000000000000000000−i2−i2i2i2i2i2−i2−i2i2−i2−i2i2000000
χ372-22-22-2-2222-22-220000-2-2000000000000-22i−2i2i−2i2i2i−2i−2i22-22-20002i−2i002i−2i0000000000000000000000
χ382-22-22-2-2222-22-220000-2-2000000000000-22i−2i2i−2i−2i−2i2i2i2-22-220002i−2i00−2i2i0000000000000000000000
χ392-22-22-2-2222-22-220000-2-2000000000000-2−2i2i−2i2i2i2i−2i−2i2-22-22000−2i2i002i−2i0000000000000000000000
χ402-22-22-2-2222-22-220000-2-2000000000000-2−2i2i−2i2i−2i−2i2i2i22-22-2000−2i2i00−2i2i0000000000000000000000
χ412-22-22-2-2222-2-22-20000-222-22-200000000200002i2i−2i−2i-2000002-20000−2i2i2i−2i2i−2i000000000000000000
χ422-22-22-2-2222-2-22-20000-222-22-20000000020000−2i−2i2i2i-2000002-200002i−2i−2i2i−2i2i000000000000000000
χ432-22-22-2-2222-2-22-20000-22-22-2200000000200002i2i−2i−2i-200000-220000−2i2i−2i2i−2i2i000000000000000000
χ442-22-22-2-2222-2-22-20000-22-22-220000000020000−2i−2i2i2i-200000-2200002i−2i2i−2i2i−2i000000000000000000
χ452-22-22-2-22-2-222-2200002-2000022-2-2000022i−2i2i−2i0000-20000000−2i2i2-2002i−2i−2i2i000000000000000000
χ462-22-22-2-22-2-222-2200002-2000022-2-200002−2i2i−2i2i0000-200000002i−2i2-200−2i2i2i−2i000000000000000000
χ472-22-22-2-22-2-222-2200002-20000-2-222000022i−2i2i−2i0000-20000000−2i2i-2200−2i2i2i−2i000000000000000000
χ482-22-22-2-22-2-222-2200002-20000-2-22200002−2i2i−2i2i0000-200000002i−2i-22002i−2i−2i2i000000000000000000
χ492-22-22-2-22-2-22-22-20000222-22-222-2-20000-20000000022-2-220-2200-22000000000000000000000000
χ502-22-22-2-22-2-22-22-20000222-22-2-2-2220000-2000000002-222-20-22002-2000000000000000000000000
χ512-22-22-2-22-2-22-22-2000022-22-2222-2-20000-2000000002-222-202-200-22000000000000000000000000
χ522-22-22-2-22-2-22-22-2000022-22-22-2-2220000-20000000022-2-2202-2002-2000000000000000000000000
χ532-2-2-2222-22-220002-22-2-2000002-22-22-200000002-22-2000000000000000000i2−i2i2−i2i2−i2i2−i20000i2−i2i2−i200
χ542-2-2-2222-22-220002-22-2-2000002-22-22-200000002-22-2000000000000000000−i2i2−i2i2−i2i2−i2i20000−i2i2−i2i200
χ552-2-2-2222-22-220002-22-2-200000-22-222-20000000-22-22000000000000000000i2−i2i2−i2i2−i2i2−i20000−i2i2−i2i200
χ562-2-2-2222-22-220002-22-2-200000-22-222-20000000-22-22000000000000000000−i2i2−i2i2−i2i2−i2i20000i2−i2i2−i200
χ572-2-2-2222-22-22000-22-22-2000002-22-2-220000000-22-22000000000000000000i2−i2i2−i2−i2i2−i2i20000i2−i2−i2i200
χ582-2-2-2222-22-22000-22-22-2000002-22-2-220000000-22-22000000000000000000−i2i2−i2i2i2−i2i2−i20000−i2i2i2−i200
χ592-2-2-2222-22-22000-22-22-200000-22-22-2200000002-22-2000000000000000000i2−i2i2−i2−i2i2−i2i20000−i2i2i2−i200
χ602-2-2-2222-22-22000-22-22-200000-22-22-2200000002-22-2000000000000000000−i2i2−i2i2i2−i2i2−i20000i2−i2−i2i200
χ61444-4-44-4-40004-4-400000400000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ62444-4-44-4-40004-4-40000040000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ63444-4-44-4-4000-44400000-44-4-4400000000000000000000000000000000000000000000000000000
χ64444-4-44-4-4000-44400000-4-444-400000000000000000000000000000000000000000000000000000
χ6544-444-4-4-44-4-4000000040000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ6644-444-4-4-44-4-400000004000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ6744-444-4-4-4-4440000000-4000004-4-440000000000000000000000000000000000000000000000000
χ6844-444-4-4-4-4440000000-400000-444-40000000000000000000000000000000000000000000000000
χ6944-4-4-4-4440000004-4-44000000000000000000000000000000000000000002-2-222-2-220000000000
χ7044-4-4-4-4440000004-4-4400000000000000000000000000000000000000000-222-2-222-20000000000
χ7144-4-4-4-444000000-444-4000000000000000000000000000000000000000002-2-22-222-20000000000
χ7244-4-4-4-444000000-444-400000000000000000000000000000000000000000-222-22-2-220000000000
χ734-444-4-44-4000-4-4444-4-4040000000000-44000000000000000000000000000000000000000000000
χ744-444-4-44-4000-4-44-4-4440400000000004-4000000000000000000000000000000000000000000000
χ754-4-4-4444-4-44-40004-44-44000000000-4400000000000000000000000000000000000000000000000
χ764-4-4-4444-4-44-4000-44-4440000000004-400000000000000000000000000000000000000000000000
χ778-8-88-88-88000000000000000000000000000000000000000000000000000000000000000000000

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