Finite Group Databasebeta

← Group #243443

Character table — Group #243443

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222444444444444444444444422444444888888888888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111
χ9111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ10111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-111-1-1
χ11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ12111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ13111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-111
χ15111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ16111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ172222222222222-2-2-2-2-2-222-2-2222-2-2-2-222-2-222-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-222-2-2222-2-2-2-2-2-222-2-222000000000000000000000000000000000000
χ19222222222-2-2-2-22222-2-222-2-22-2-222-2-222-2-2-2-222000000000000000000000000000000000000
χ20222222222-2-2-2-22222-2-222-2-22-2-222-2-2-2-22222-2-2000000000000000000000000000000000000
χ2122222222-22222222222-2-222-2-2-2-2-2-2-200000000222200000000-2-2-2-200000000000000000000
χ2222222222-22222222222-2-222-2-2-2-2-2-2-200000000-2-2-2-200000000222200000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000002i−2i2i−2i
χ2422222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000−2i2i−2i2i
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-222-2-22200000000000000000000000000000000000000002i−2i−2i2i
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000−2i2i2i−2i
χ2722222222-2-2-2-2-2-2-2-2-222-2-222-22222-2-20000000022-2-200000000-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-222-2-222-22222-2-200000000-2-2220000000022-2-200000000000000000000
χ29222-2-2-2-2222i2i−2i−2i2i2i−2i−2i2-2-2-22-222i−2i2i−2i2-20000000000002i2i−2i−2i0000000022-2-20000000000000000
χ30222-2-2-2-2222i2i−2i−2i2i2i−2i−2i2-2-2-22-222i−2i2i−2i2-2000000000000−2i−2i2i2i00000000-2-2220000000000000000
χ31222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22-2-2-2222i−2i−2i2i-22000000000000000000000000000000002i−2i002-2000000
χ32222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22-2-2-2222i−2i−2i2i-2200000000000000000000000000000000−2i2i00-22000000
χ33222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22-2-2-222−2i2i2i−2i-22000000000000000000000000000000002i−2i00-22000000
χ34222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22-2-2-222−2i2i2i−2i-2200000000000000000000000000000000−2i2i002-2000000
χ35222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2-2-2-22-22−2i2i−2i2i2-20000000000002i2i−2i−2i00000000-2-2220000000000000000
χ36222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2-2-2-22-22−2i2i−2i2i2-2000000000000−2i−2i2i2i0000000022-2-20000000000000000
χ37222-2-2-2-22-22i2i−2i−2i2i2i−2i−2i2-2222-2-2−2i2i−2i2i-22000000000000000022-2-2000000002i2i−2i−2i000000000000
χ38222-2-2-2-22-22i2i−2i−2i2i2i−2i−2i2-2222-2-2−2i2i−2i2i-220000000000000000-2-22200000000−2i−2i2i2i000000000000
χ39222-2-2-2-22-22i2i−2i−2i−2i−2i2i2i-2222-22-2−2i2i2i−2i2-200000000000000000000000000000000002i−2i002-20000
χ40222-2-2-2-22-22i2i−2i−2i−2i−2i2i2i-2222-22-2−2i2i2i−2i2-20000000000000000000000000000000000−2i2i00-220000
χ41222-2-2-2-22-2−2i−2i2i2i2i2i−2i−2i-2222-22-22i−2i−2i2i2-200000000000000000000000000000000002i−2i00-220000
χ42222-2-2-2-22-2−2i−2i2i2i2i2i−2i−2i-2222-22-22i−2i−2i2i2-20000000000000000000000000000000000−2i2i002-20000
χ43222-2-2-2-22-2−2i−2i2i2i−2i−2i2i2i2-2222-2-22i−2i2i−2i-22000000000000000022-2-200000000−2i−2i2i2i000000000000
χ44222-2-2-2-22-2−2i−2i2i2i−2i−2i2i2i2-2222-2-22i−2i2i−2i-220000000000000000-2-222000000002i2i−2i−2i000000000000
χ452-2222-2-2-202-22-22-22-2-2-200220000000000000000000i2−i2i2−i2i2−i2i2−i22-22-2i2−i2i2−i2i2−i2i2−i2000000000000
χ462-2222-2-2-202-22-22-22-2-2-200220000000000000000000i2−i2i2−i2−i2i2−i2i2-22-22i2−i2i2−i2−i2i2−i2i2000000000000
χ472-2222-2-2-202-22-22-22-2-2-200220000000000000000000−i2i2−i2i2i2−i2i2−i2-22-22−i2i2−i2i2i2−i2i2−i2000000000000
χ482-2222-2-2-202-22-22-22-2-2-200220000000000000000000−i2i2−i2i2−i2i2−i2i22-22-2−i2i2−i2i2−i2i2−i2i2000000000000
χ492-2222-2-2-20-22-22-22-22-2-200220000000000000000000i2−i2i2−i2i2−i2i2−i22-2-22−i2i2−i2i2−i2i2−i2i2000000000000
χ502-2222-2-2-20-22-22-22-22-2-200220000000000000000000i2−i2i2−i2−i2i2−i2i2-222-2−i2i2−i2i2i2−i2i2−i2000000000000
χ512-2222-2-2-20-22-22-22-22-2-200220000000000000000000−i2i2−i2i2i2−i2i2−i2-222-2i2−i2i2−i2−i2i2−i2i2000000000000
χ522-2222-2-2-20-22-22-22-22-2-200220000000000000000000−i2i2−i2i2−i2i2−i2i22-2-22i2−i2i2−i2i2−i2i2−i2000000000000
χ532-22-2-222-202i−2i−2i2i2i−2i−2i2i-22002-20000000000000002i−2i2-22−2−22i2−i2−i2i20000−i2i2i2−i2−222−2000000000000
χ542-22-2-222-202i−2i−2i2i2i−2i−2i2i-22002-20000000000000002i−2i2-2−222−2−i2i2i2−i20000i2−i2−i2i22−2−22000000000000
χ552-22-2-222-202i−2i−2i2i2i−2i−2i2i-22002-2000000000000000−2i2i-222−2−22−i2i2i2−i20000−i2i2i2−i22−2−22000000000000
χ562-22-2-222-202i−2i−2i2i2i−2i−2i2i-22002-2000000000000000−2i2i-22−222−2i2−i2−i2i20000i2−i2−i2i2−222−2000000000000
χ572-22-2-222-20−2i2i2i−2i−2i2i2i−2i-22002-20000000000000002i−2i-222−2−22i2−i2−i2i20000i2−i2−i2i22−2−22000000000000
χ582-22-2-222-20−2i2i2i−2i−2i2i2i−2i-22002-20000000000000002i−2i-22−222−2−i2i2i2−i20000−i2i2i2−i2−222−2000000000000
χ592-22-2-222-20−2i2i2i−2i−2i2i2i−2i-22002-2000000000000000−2i2i2-22−2−22−i2i2i2−i20000i2−i2−i2i2−222−2000000000000
χ602-22-2-222-20−2i2i2i−2i−2i2i2i−2i-22002-2000000000000000−2i2i2-2−222−2i2−i2−i2i20000−i2i2i2−i22−2−22000000000000
χ6144-44-44-4-4400000000004-400-400000000004-400000000000000000000000000000000000000
χ6244-44-44-4-4400000000004-400-40000000000-4400000000000000000000000000000000000000
χ6344-44-44-4-4-40000000000-440040000000000004i−4i000000000000000000000000000000000000
χ6444-44-44-4-4-40000000000-44004000000000000−4i4i000000000000000000000000000000000000
χ6544-4-44-44-440000000000-4400-40000004-4000000000000000000000000000000000000000000
χ6644-4-44-44-440000000000-4400-4000000-44000000000000000000000000000000000000000000
χ6744-4-44-44-4-400000000004-4004000000004i−4i0000000000000000000000000000000000000000
χ6844-4-44-44-4-400000000004-400400000000−4i4i0000000000000000000000000000000000000000
χ694-4444-4-4-404-44-4-44-444400-4-4000000000000000000000000000000000000000000000000000
χ704-4444-4-4-40-44-444-44-44400-4-4000000000000000000000000000000000000000000000000000
χ714-44-4-444-404i−4i−4i4i−4i4i4i−4i4-400-44000000000000000000000000000000000000000000000000000
χ724-44-4-444-40−4i4i4i−4i4i−4i−4i4i4-400-44000000000000000000000000000000000000000000000000000
χ738-8-88-8-888000000000000000000000000000000000000000000000000000000000000000000
χ748-8-8-888-88000000000000000000000000000000000000000000000000000000000000000000

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