Finite Group Databasebeta

← Group #276402

Character table — Group #276402

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444448888888844444888888888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ172222222222222-222-2-22-2-2-2-2-2222222-2-2-2-20000000022-2-2-2000000000000000000000000000000
χ182222222222222-222-2-22-2-2-2-2-222-2-2-2-2222200000000-2-222-2000000000000000000000000000000
χ19222222222222-22-2-222-22-2-222-2-200000000222222220000-2-2-2-2-200000000000000000000000000
χ20222222222222-22-2-222-22-2-222-2-200000000-2-2-2-2-2-2-2-20000-2222200000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000002000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000200000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2322222222-2-2-2-22-222-2-22-2-2-222-2-22222-2-2-2-200000000-2-2222000000000000000000000000000000
χ2422222222-2-2-2-22-222-2-22-2-2-222-2-2-2-2-2-222220000000022-2-22000000000000000000000000000000
χ2522222222-2-2-2-2-22-2-222-22-2-2-2-222000000002222-2-2-2-200002-2-22200000000000000000000000000
χ2622222222-2-2-2-2-22-2-222-22-2-2-2-22200000000-2-2-2-222220000222-2-200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000-2000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000-200000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ2922-2-222-2-222-2-20-2002-202002-200000000002i2i−2i−2i2i2i−2i−2i000000000i2i2−i2−i200000000i2i2−i2−i200002−22−200
χ3022-2-222-2-222-2-20-2002-202002-200000000002i2i−2i−2i2i2i−2i−2i000000000−i2−i2i2i200000000−i2−i2i2i20000−22−2200
χ3122-2-222-2-222-2-20-2002-202002-20000000000−2i−2i2i2i−2i−2i2i2i000000000i2i2−i2−i200000000i2i2−i2−i20000−22−2200
χ3222-2-222-2-222-2-20-2002-202002-20000000000−2i−2i2i2i−2i−2i2i2i000000000−i2−i2i2i200000000−i2−i2i2i200002−22−200
χ3322-2-222-2-2-2-2220-2002-20200-2200000000002i2i−2i−2i−2i−2i2i2i000000000i2i2−i2−i200000000−i2−i2i2i200002−2−2200
χ3422-2-222-2-2-2-2220-2002-20200-2200000000002i2i−2i−2i−2i−2i2i2i000000000−i2−i2i2i200000000i2i2−i2−i20000−222−200
χ3522-2-222-2-2-2-2220-2002-20200-220000000000−2i−2i2i2i2i2i−2i−2i000000000i2i2−i2−i200000000−i2−i2i2i20000−222−200
χ3622-2-222-2-2-2-2220-2002-20200-220000000000−2i−2i2i2i2i2i−2i−2i000000000−i2−i2i2i200000000i2i2−i2−i200002−2−2200
χ372-2222-2-2-20000-222-2-2-2222-200002i2i−2i−2i2i2i−2i−2i000000000000000002i−2i2i−2i0000000000002-200000000
χ382-2222-2-2-20000-222-2-2-2222-200002i2i−2i−2i2i2i−2i−2i00000000000000000−2i2i−2i2i000000000000-2200000000
χ392-2222-2-2-20000-222-2-2-2222-20000−2i−2i2i2i−2i−2i2i2i000000000000000002i−2i2i−2i000000000000-2200000000
χ402-2222-2-2-20000-222-2-2-2222-20000−2i−2i2i2i−2i−2i2i2i00000000000000000−2i2i−2i2i0000000000002-200000000
χ412-2222-2-2-20000-2-22-2222-2-2200002i2i−2i−2i−2i−2i2i2i000000000000000000000000000002-22-2002i−2i000000
χ422-2222-2-2-20000-2-22-2222-2-2200002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000-22-2200−2i2i000000
χ432-2222-2-2-20000-2-22-2222-2-220000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000002-22-200−2i2i000000
χ442-2222-2-2-20000-2-22-2222-2-220000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000-22-22002i−2i000000
χ452-22-2-222-22i−2i2i−2i20-2-2002000002i−2i00002-22-22−22−2i2−i2i2−i2002i−2i02−2i2−i200002−22−2i2−i2i2−i200000000000000
χ462-22-2-222-22i−2i2i−2i20-2-2002000002i−2i00002-22-2−22−22−i2i2−i2i2002i−2i0−22−i2i20000−22−22−i2i2−i2i200000000000000
χ472-22-2-222-22i−2i2i−2i20-2-2002000002i−2i0000-22-222−22−2i2−i2i2−i200−2i2i02−2i2−i20000−22−22−i2i2−i2i200000000000000
χ482-22-2-222-22i−2i2i−2i20-2-2002000002i−2i0000-22-22−22−22−i2i2−i2i200−2i2i0−22−i2i200002−22−2i2−i2i2−i200000000000000
χ492-22-2-222-22i−2i2i−2i-202200-200000−2i2i2i−2i2i−2i00002−22−2i2−i2i2−i22-2000−22−i2i20000i2−i2−i2i2−222−200000000000000
χ502-22-2-222-22i−2i2i−2i-202200-200000−2i2i2i−2i2i−2i0000−22−22−i2i2−i2i22-20002−2i2−i20000−i2i2i2−i22−2−2200000000000000
χ512-22-2-222-22i−2i2i−2i-202200-200000−2i2i−2i2i−2i2i00002−22−2i2−i2i2−i2-22000−22−i2i20000−i2i2i2−i22−2−2200000000000000
χ522-22-2-222-22i−2i2i−2i-202200-200000−2i2i−2i2i−2i2i0000−22−22−i2i2−i2i2-220002−2i2−i20000i2−i2−i2i2−222−200000000000000
χ532-22-2-222-2−2i2i−2i2i20-2-200200000−2i2i00002-22-22−22−2−i2i2−i2i200−2i2i02−2−i2i200002−22−2−i2i2−i2i200000000000000
χ542-22-2-222-2−2i2i−2i2i20-2-200200000−2i2i00002-22-2−22−22i2−i2i2−i200−2i2i0−22i2−i20000−22−22i2−i2i2−i200000000000000
χ552-22-2-222-2−2i2i−2i2i20-2-200200000−2i2i0000-22-222−22−2−i2i2−i2i2002i−2i02−2−i2i20000−22−22i2−i2i2−i200000000000000
χ562-22-2-222-2−2i2i−2i2i20-2-200200000−2i2i0000-22-22−22−22i2−i2i2−i2002i−2i0−22i2−i200002−22−2−i2i2−i2i200000000000000
χ572-22-2-222-2−2i2i−2i2i-202200-2000002i−2i2i−2i2i−2i00002−22−2−i2i2−i2i2-22000−22i2−i20000i2−i2−i2i22−2−2200000000000000
χ582-22-2-222-2−2i2i−2i2i-202200-2000002i−2i2i−2i2i−2i0000−22−22i2−i2i2−i2-220002−2−i2i20000−i2i2i2−i2−222−200000000000000
χ592-22-2-222-2−2i2i−2i2i-202200-2000002i−2i−2i2i−2i2i00002−22−2−i2i2−i2i22-2000−22i2−i20000−i2i2i2−i2−222−200000000000000
χ602-22-2-222-2−2i2i−2i2i-202200-2000002i−2i−2i2i−2i2i0000−22−22i2−i2i2−i22-20002−2−i2i20000i2−i2−i2i22−2−2200000000000000
χ61444-4-4-4-440000404-400-400000004-4-4400000000000000000000000000000000000000000000000
χ62444-4-4-4-440000404-400-40000000-444-400000000000000000000000000000000000000000000000
χ63444-4-4-4-440000-40-44004000000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ64444-4-4-4-440000-40-4400400000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ6544-4-444-4-444-4-40400-440-400-4400000000000000000000000000000000000000000000000000000
χ6644-4-444-4-4-4-4440400-440-4004-400000000000000000000000000000000000000000000000000000
χ674-4444-4-4-4000044-44-4-4-44-440000000000000000000000000000000000000000000000000000000
χ684-4444-4-4-400004-4-4444-4-44-40000000000000000000000000000000000000000000000000000000
χ694-4-44-44-444i−4i−4i4i00000000000000000000002i2−2i2−2i22i2−222222−2200000000000000000000000000000000000
χ704-4-44-44-444i−4i−4i4i0000000000000000000000−2i22i22i2−2i222−22−222200000000000000000000000000000000000
χ714-4-44-44-44−4i4i4i−4i00000000000000000000002i2−2i2−2i22i222−22−222200000000000000000000000000000000000
χ724-4-44-44-44−4i4i4i−4i0000000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000000000000000000
χ734-4-4-44-444000004004-40-400000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ744-4-4-44-444000004004-40-40000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ754-4-4-44-44400000-400-4404000000000000000000000000000000022−22−22220000000000000000000000
χ764-4-4-44-44400000-400-44040000000000000000000000000000000−222222−220000000000000000000000
χ7788-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000

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