Finite Group Databasebeta

← Group #276404

Character table — Group #276404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444448888888822444888888888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ9111111111-1-1-1-1111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11
χ11111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11
χ12111111111-1-1-1-1111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ13111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-11
χ14111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ15111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-11
χ172222222222222-222-2-22-2-2-22200000000-2-2222222220000-2-2-2-2-200000000000000000000000000
χ182222222222222-222-2-22-2-2-22200000000-2-2-2-2-2-2-2-2-2-20000-2222200000000000000000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-2-2-200000000222222-2-2-2-200002-2-22200000000000000000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-2-2-20000000022-2-2-2-222220000222-2-200000000000000000000000000
χ2122222222-222222-2-222-22-2-2-2-22222-2-2-2-2220000000022-2-2-2000000000000000000000000000000
χ2222222222-222222-2-222-22-2-2-2-2-2-2-2-222222200000000-2-222-2000000000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-222-2-200000000-2-200000000000020000000000002i2i−2i−2i2i2i−2i−2i0000000000
χ2422222222-22222-2-2-2-2-2-2-222-2-200000000-2-20000000000002000000000000−2i−2i2i2i−2i−2i2i2i0000000000
χ2522222222-2-2-2-2-22-2-222-22-2-2222222-2-2-2-2-2-200000000-2-2222000000000000000000000000000000
χ2622222222-2-2-2-2-22-2-222-22-2-222-2-2-2-22222-2-20000000022-2-22000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222220000000022000000000000-20000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222220000000022000000000000-2000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ29222-2-22-2-220000-2-2-22-2222-2002i2i−2i−2i2i2i−2i−2i000000000000000000000002i2i−2i−2i00000000002-2000000
χ30222-2-22-2-220000-2-2-22-2222-2002i2i−2i−2i2i2i−2i−2i00000000000000000000000−2i−2i2i2i0000000000-22000000
χ31222-2-22-2-220000-2-2-22-2222-200−2i−2i2i2i−2i−2i2i2i000000000000000000000002i2i−2i−2i0000000000-22000000
χ32222-2-22-2-220000-2-2-22-2222-200−2i−2i2i2i−2i−2i2i2i00000000000000000000000−2i−2i2i2i00000000002-2000000
χ33222-2-22-2-2-20000-2222-2-22-22002i2i−2i−2i−2i−2i2i2i000000000000000000022-2-20000000000002i−2i00000000
χ34222-2-22-2-2-20000-2222-2-22-22002i2i−2i−2i−2i−2i2i2i0000000000000000000-2-222000000000000−2i2i00000000
χ35222-2-22-2-2-20000-2222-2-22-2200−2i−2i2i2i2i2i−2i−2i000000000000000000022-2-2000000000000−2i2i00000000
χ36222-2-22-2-2-20000-2222-2-22-2200−2i−2i2i2i2i2i−2i−2i0000000000000000000-2-2220000000000002i−2i00000000
χ372-2222-2-2-2-222-2-202-20020002-2000000000022-2-222-2-2000000000i2−i2i2−i2i2−i2i2−i2000000000000i2−i2i2−i200
χ382-2222-2-2-2-222-2-202-20020002-2000000000022-2-222-2-2000000000−i2i2−i2i2−i2i2−i2i2000000000000−i2i2−i2i200
χ392-2222-2-2-2-222-2-202-20020002-20000000000-2-222-2-222000000000i2−i2i2−i2i2−i2i2−i2000000000000−i2i2−i2i200
χ402-2222-2-2-2-222-2-202-20020002-20000000000-2-222-2-222000000000−i2i2−i2i2−i2i2−i2i2000000000000i2−i2i2−i200
χ412-2222-2-2-2-2-2-22202-2002000-22000000000022-2-2-2-222000000000i2−i2i2−i2−i2i2−i2i2000000000000i2−i2−i2i200
χ422-2222-2-2-2-2-2-22202-2002000-22000000000022-2-2-2-222000000000−i2i2−i2i2i2−i2i2−i2000000000000−i2i2i2−i200
χ432-2222-2-2-2-2-2-22202-2002000-220000000000-2-22222-2-2000000000i2−i2i2−i2−i2i2−i2i2000000000000−i2i2i2−i200
χ442-2222-2-2-2-2-2-22202-2002000-220000000000-2-22222-2-2000000000−i2i2−i2i2i2−i2i2−i2000000000000i2−i2−i2i200
χ452-2-22-222-202-22-2200-2-202000000002i−2i2i−2i2-2i2−i2i2−i2i2−i2i2−i2002i−2i0i2−i2i2−i2000000002−22−22−22−20000000000
χ462-2-22-222-202-22-2200-2-202000000002i−2i2i−2i2-2−i2i2−i2i2−i2i2−i2i2002i−2i0−i2i2−i2i200000000−22−22−22−220000000000
χ472-2-22-222-202-22-2200-2-20200000000−2i2i−2i2i2-2i2−i2i2−i2i2−i2i2−i200−2i2i0i2−i2i2−i200000000−22−22−22−220000000000
χ482-2-22-222-202-22-2200-2-20200000000−2i2i−2i2i2-2−i2i2−i2i2−i2i2−i2i200−2i2i0−i2i2−i2i2000000002−22−22−22−20000000000
χ492-2-22-222-202-22-2-200220-200002-22-20000-22i2−i2i2−i2i2−i2i2−i22-2000−i2i2−i2i200000000i2−i2−i2i2i2−i2−i2i20000000000
χ502-2-22-222-202-22-2-200220-200002-22-20000-22−i2i2−i2i2−i2i2−i2i22-2000i2−i2i2−i200000000−i2i2i2−i2−i2i2i2−i20000000000
χ512-2-22-222-202-22-2-200220-20000-22-220000-22i2−i2i2−i2i2−i2i2−i2-22000−i2i2−i2i200000000−i2i2i2−i2−i2i2i2−i20000000000
χ522-2-22-222-202-22-2-200220-20000-22-220000-22−i2i2−i2i2−i2i2−i2i2-22000i2−i2i2−i200000000i2−i2−i2i2i2−i2−i2i20000000000
χ532-2-22-222-20-22-22200-2-202000000002i−2i2i−2i-22i2−i2i2−i2−i2i2−i2i200−2i2i0i2−i2−i2i2000000002−22−2−22−220000000000
χ542-2-22-222-20-22-22200-2-202000000002i−2i2i−2i-22−i2i2−i2i2i2−i2i2−i200−2i2i0−i2i2i2−i200000000−22−222−22−20000000000
χ552-2-22-222-20-22-22200-2-20200000000−2i2i−2i2i-22i2−i2i2−i2−i2i2−i2i2002i−2i0i2−i2−i2i200000000−22−222−22−20000000000
χ562-2-22-222-20-22-22200-2-20200000000−2i2i−2i2i-22−i2i2−i2i2i2−i2i2−i2002i−2i0−i2i2i2−i2000000002−22−2−22−220000000000
χ572-2-22-222-20-22-22-200220-200002-22-200002-2i2−i2i2−i2−i2i2−i2i2-22000−i2i2i2−i200000000i2−i2−i2i2−i2i2i2−i20000000000
χ582-2-22-222-20-22-22-200220-200002-22-200002-2−i2i2−i2i2i2−i2i2−i2-22000i2−i2−i2i200000000−i2i2i2−i2i2−i2−i2i20000000000
χ592-2-22-222-20-22-22-200220-20000-22-2200002-2i2−i2i2−i2−i2i2−i2i22-2000−i2i2i2−i200000000−i2i2i2−i2i2−i2−i2i20000000000
χ602-2-22-222-20-22-22-200220-20000-22-2200002-2−i2i2−i2i2i2−i2i2−i22-2000i2−i2−i2i200000000i2−i2−i2i2−i2i2i2−i20000000000
χ61444-4-44-4-4400004-4-4-444-4-440000000000000000000000000000000000000000000000000000000
χ62444-4-44-4-4-40000444-44-4-44-40000000000000000000000000000000000000000000000000000000
χ6344-44-4-4-4404-4-440000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000
χ6444-44-4-4-4404-4-44000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000
χ6544-44-4-4-440-444-40000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000
χ6644-44-4-4-440-444-4000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000
χ674-4444-4-4-4444-4-40-4400-4000-4400000000000000000000000000000000000000000000000000000
χ684-4444-4-4-44-4-4440-4400-40004-400000000000000000000000000000000000000000000000000000
χ694-44-4-4-4444000004-400-4000000000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ704-44-4-4-4444000004-400-400000000000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ714-44-4-4-444-400000-4400400000000000000000000000000000000000022−22−2222000000000000000000
χ724-44-4-4-444-400000-44004000000000000000000000000000000000000−222222−22000000000000000000
χ734-4-4-444-44000004004-40-400004i−4i−4i4i0000000000000000000000000000000000000000000000000
χ744-4-4-444-44000004004-40-40000−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ754-4-4-444-4400000-400-4404000000004-4-44000000000000000000000000000000000000000000000
χ764-4-4-444-4400000-400-440400000000-444-4000000000000000000000000000000000000000000000
χ7788-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000000

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