Finite Group Databasebeta

← Group #350141

Character table — Group #350141

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444224444444444444444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1
χ10111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-11
χ11111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ12111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-2222222-2-22222222222-2-200000000-2-2-2-2-20000000000-2-200000000000000000000
χ182222222222-2-2222222-2-222-2-2-2-2-2-2-2-2-2-200000000-2-2-22200000000002200000000000000000000
χ192222222222-2-2-2-2-2-222-2-2-2-22222-2-2-2-22200000000-2-22-2-200000000002200000000000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-222222200000000-2-22220000000000-2-200000000000000000000
χ2122222222-2-2222222-2-222-2-2000000002222222222-2-2-200-2-20000000000-2-2000000000000000000
χ2222222222-2-2222222-2-222-2-20000000022-2-2-2-2-2-2-2-2-2-2-20022000000000022000000000000000000
χ2322222222-2-222-2-2-2-2-2-2222200000000-2-22222-2-2-2-2-2-2200220000000000-2-2000000000000000000
χ2422222222-2-222-2-2-2-2-2-2222200000000-2-2-2-2-2-22222-2-2200-2-2000000000022000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-200000000-2-200000000222000022-2-222-2-20000000000000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-200000000-2-2000000002220000-2-222-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22200000000220000000022-2000022-2-2-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22200000000220000000022-20000-2-22222-2-20000000000000000000000
χ2922-22-2-2-22002-22i2i−2i−2i002-200000000002i−2i2i2i−2i−2i22-2-20000000000000000000i2i2−i2−i222−2−200002−2i2−i200
χ3022-22-2-2-22002-22i2i−2i−2i002-200000000002i−2i2i2i−2i−2i22-2-20000000000000000000−i2−i2i2i2−2−2220000−22−i2i200
χ3122-22-2-2-22002-22i2i−2i−2i002-200000000002i−2i−2i−2i2i2i-2-2220000000000000000000i2i2−i2−i222−2−20000−22−i2i200
χ3222-22-2-2-22002-22i2i−2i−2i002-200000000002i−2i−2i−2i2i2i-2-2220000000000000000000−i2−i2i2i2−2−22200002−2i2−i200
χ3322-22-2-2-22002-2−2i−2i2i2i002-20000000000−2i2i2i2i−2i−2i-2-2220000000000000000000i2i2−i2−i2−2−22200002−2−i2i200
χ3422-22-2-2-22002-2−2i−2i2i2i002-20000000000−2i2i2i2i−2i−2i-2-2220000000000000000000−i2−i2i2i222−2−20000−22i2−i200
χ3522-22-2-2-22002-2−2i−2i2i2i002-20000000000−2i2i−2i−2i2i2i22-2-20000000000000000000i2i2−i2−i2−2−2220000−22i2−i200
χ3622-22-2-2-22002-2−2i−2i2i2i002-20000000000−2i2i−2i−2i2i2i22-2-20000000000000000000−i2−i2i2i222−2−200002−2−i2i200
χ372-2-2222-2-22-22-200002-2-220000002i2i−2i−2i002i−2i2i−2i00002-20000000002-22-22i−2i2i−2i000000000000000000
χ382-2-2222-2-22-22-200002-2-220000002i2i−2i−2i00−2i2i−2i2i00002-2000000000-22-222i−2i−2i2i000000000000000000
χ392-2-2222-2-22-22-200002-2-22000000−2i−2i2i2i002i−2i2i−2i00002-2000000000-22-22−2i2i2i−2i000000000000000000
χ402-2-2222-2-22-22-200002-2-22000000−2i−2i2i2i00−2i2i−2i2i00002-20000000002-22-2−2i2i−2i2i000000000000000000
χ412-2-2222-2-22-2-2200002-22-20000002i2i−2i−2i0000002i−2i2i−2i-220002i−2i2-22-20000−2i2i00000000000000000000
χ422-2-2222-2-22-2-2200002-22-20000002i2i−2i−2i000000−2i2i−2i2i-22000−2i2i-22-220000−2i2i00000000000000000000
χ432-2-2222-2-22-2-2200002-22-2000000−2i−2i2i2i0000002i−2i2i−2i-220002i−2i-22-2200002i−2i00000000000000000000
χ442-2-2222-2-22-2-2200002-22-2000000−2i−2i2i2i000000−2i2i−2i2i-22000−2i2i2-22-200002i−2i00000000000000000000
χ452-2-2222-2-2-222-20000-22-22002i2i−2i−2i0000002i−2i2i−2i0000-2202i−2i002-2-22000000−2i2i000000000000000000
χ462-2-2222-2-2-222-20000-22-22002i2i−2i−2i000000−2i2i−2i2i0000-2202i−2i00-222-20000002i−2i000000000000000000
χ472-2-2222-2-2-222-20000-22-2200−2i−2i2i2i0000002i−2i2i−2i0000-220−2i2i00-222-2000000−2i2i000000000000000000
χ482-2-2222-2-2-222-20000-22-2200−2i−2i2i2i000000−2i2i−2i2i0000-220−2i2i002-2-220000002i−2i000000000000000000
χ492-2-2222-2-2-22-220000-222-2002i2i−2i−2i00000000002i−2i2i−2i2-20−2i2i−2i2i00002-2-220000000000000000000000
χ502-2-2222-2-2-22-220000-222-2002i2i−2i−2i0000000000−2i2i−2i2i2-20−2i2i2i−2i0000-222-20000000000000000000000
χ512-2-2222-2-2-22-220000-222-200−2i−2i2i2i00000000002i−2i2i−2i2-202i−2i−2i2i0000-222-20000000000000000000000
χ522-2-2222-2-2-22-220000-222-200−2i−2i2i2i0000000000−2i2i−2i2i2-202i−2i2i−2i00002-2-220000000000000000000000
χ532-2-2-22-22222002-22-2-2-2002-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000i2−i2i2−i2i2−i2i2−i22−22−2000000
χ542-2-2-22-22222002-22-2-2-2002-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−22−22000000
χ552-2-2-22-22222002-22-2-2-2002-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−22−22000000
χ562-2-2-22-22222002-22-2-2-2002-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000−i2i2−i2i2−i2i2−i2i22−22−2000000
χ572-2-2-22-2222200-22-22-2-200-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000i2−i2i2−i2−i2i2−i2i22−2−22000000
χ582-2-2-22-2222200-22-22-2-200-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−222−2000000
χ592-2-2-22-2222200-22-22-2-200-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000i2−i2i2−i2−i2i2−i2i2−222−2000000
χ602-2-2-22-2222200-22-22-2-200-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000−i2i2−i2i2i2−i2i2−i22−2−22000000
χ61444-44-4-4-44-4000000-44000000004-4-4400000000000000000000000000000000000000000000000
χ62444-44-4-4-44-4000000-4400000000-444-400000000000000000000000000000000000000000000000
χ63444-44-4-4-4-440000004-400004-4-44000000000000000000000000000000000000000000000000000
χ64444-44-4-4-4-440000004-40000-444-4000000000000000000000000000000000000000000000000000
χ6544-44-4-4-4400-444i4i−4i−4i00-440000000000−4i4i000000000000000000000000000000000000000000000
χ6644-44-4-4-4400-44−4i−4i4i4i00-4400000000004i−4i000000000000000000000000000000000000000000000
χ674-444-4-44-40044000000-4-40000000000004-4-4400000000000000000000000000000000000000000
χ684-444-4-44-40044000000-4-4000000000000-444-400000000000000000000000000000000000000000
χ694-444-4-44-400-4-40000004400000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ704-444-4-44-400-4-4000000440000000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ714-44-4-44-4400004i−4i−4i4i00000000000000000000000000000000000000000002-2-22−2i2i2i−2i0000000000
χ724-44-4-44-4400004i−4i−4i4i0000000000000000000000000000000000000000000-222-22i−2i−2i2i0000000000
χ734-44-4-44-440000−4i4i4i−4i00000000000000000000000000000000000000000002-2-222i−2i−2i2i0000000000
χ744-44-4-44-440000−4i4i4i−4i0000000000000000000000000000000000000000000-222-2−2i2i2i−2i0000000000
χ754-4-4-44-444-4-4004-44-44400-440000000000000000000000000000000000000000000000000000000
χ764-4-4-44-444-4-400-44-4444004-40000000000000000000000000000000000000000000000000000000
χ7788-8-8-888-8000000000000000000000000000000000000000000000000000000000000000000000

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