Finite Group Databasebeta

← Group #276995

Character table — Group #276995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444448888888844444888888888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111111111-1-1-1-1111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-11
χ121111111111-1-1-1-1111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-11-1
χ131111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-11
χ141111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-11
χ1722222222222222-22-2-2-2222-2-2-2-20000000022222222-2000000000000-2-2-2-2000000000000000000
χ1822222222222222-22-2-2-2222-2-2-2-200000000-2-2-2-2-2-2-2-2-20000000000002222000000000000000000
χ192222222222-2-2-2-2-22-2-2-22-2-2-2-222000000002222-2-2-2-22000000000000-2-222000000000000000000
χ202222222222-2-2-2-2-22-2-2-22-2-2-2-22200000000-2-2-2-22222200000000000022-2-2000000000000000000
χ2122222222-2-222222-2222-2-2-2-2-2222222-2-2-2-200000000-222-2-2000000000000000000000000000000
χ2222222222-2-222222-2222-2-2-2-2-222-2-2-2-2222200000000-2-2-222000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-222-2-20000000000000000200000000000000002i2i−2i−2i2i2i−2i−2i0000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-222-2-2000000000000000020000000000000000−2i−2i2i2i−2i−2i2i2i0000000000
χ2522222222-2-2-2-2-2-22-2222-222-2-2-2-22222-2-2-2-2000000002-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-22-2222-222-2-2-2-2-2-2-2-2222200000000222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ292222-2-2-2-22-222-2-202000-22-200000000000022-2-222-2-20000022−2−222−2−200000000000000002−22−200
χ302222-2-2-2-22-222-2-202000-22-200000000000022-2-222-2-200000−2−222−2−2220000000000000000−22−2200
χ312222-2-2-2-22-222-2-202000-22-2000000000000-2-222-2-2220000022−2−222−2−20000000000000000−22−2200
χ322222-2-2-2-22-222-2-202000-22-2000000000000-2-222-2-22200000−2−222−2−22200000000000000002−22−200
χ332222-2-2-2-22-2-2-22202000-2-2200000000000022-2-2-2-2220000022−2−2−2−22200000000000000002−2−2200
χ342222-2-2-2-22-2-2-22202000-2-2200000000000022-2-2-2-22200000−2−22222−2−20000000000000000−222−200
χ352222-2-2-2-22-2-2-22202000-2-22000000000000-2-22222-2-20000022−2−2−2−2220000000000000000−222−200
χ362222-2-2-2-22-2-2-22202000-2-22000000000000-2-22222-2-200000−2−22222−2−200000000000000002−2−2200
χ3722-2-22-2-22002i−2i2i−2i20-2-22000002i−2i000022-2-22−22−2i2−i2i2−i20002i−2i000000002−2i2−i22−22−2i2−i2i2−i20000000000
χ3822-2-22-2-22002i−2i2i−2i20-2-22000002i−2i000022-2-2−22−22−i2i2−i2i20002i−2i00000000−22−i2i2−22−22−i2i2−i2i20000000000
χ3922-2-22-2-22002i−2i2i−2i20-2-22000002i−2i0000-2-2222−22−2i2−i2i2−i2000−2i2i000000002−2i2−i2−22−22−i2i2−i2i20000000000
χ4022-2-22-2-22002i−2i2i−2i20-2-22000002i−2i0000-2-222−22−22−i2i2−i2i2000−2i2i00000000−22−i2i22−22−2i2−i2i2−i20000000000
χ4122-2-22-2-22002i−2i2i−2i-2022-200000−2i2i2i2i−2i−2i00002−22−2i2−i2i2−i202-20000000000−22−i2i2i2−i2−i2i2−222−20000000000
χ4222-2-22-2-22002i−2i2i−2i-2022-200000−2i2i2i2i−2i−2i0000−22−22−i2i2−i2i202-200000000002−2i2−i2−i2i2i2−i22−2−220000000000
χ4322-2-22-2-22002i−2i2i−2i-2022-200000−2i2i−2i−2i2i2i00002−22−2i2−i2i2−i20-220000000000−22−i2i2−i2i2i2−i22−2−220000000000
χ4422-2-22-2-22002i−2i2i−2i-2022-200000−2i2i−2i−2i2i2i0000−22−22−i2i2−i2i20-2200000000002−2i2−i2i2−i2−i2i2−222−20000000000
χ4522-2-22-2-2200−2i2i−2i2i20-2-2200000−2i2i000022-2-22−22−2−i2i2−i2i2000−2i2i000000002−2−i2i22−22−2−i2i2−i2i20000000000
χ4622-2-22-2-2200−2i2i−2i2i20-2-2200000−2i2i000022-2-2−22−22i2−i2i2−i2000−2i2i00000000−22i2−i2−22−22i2−i2i2−i20000000000
χ4722-2-22-2-2200−2i2i−2i2i20-2-2200000−2i2i0000-2-2222−22−2−i2i2−i2i20002i−2i000000002−2−i2i2−22−22i2−i2i2−i20000000000
χ4822-2-22-2-2200−2i2i−2i2i20-2-2200000−2i2i0000-2-222−22−22i2−i2i2−i20002i−2i00000000−22i2−i22−22−2−i2i2−i2i20000000000
χ4922-2-22-2-2200−2i2i−2i2i-2022-2000002i−2i2i2i−2i−2i00002−22−2−i2i2−i2i20-220000000000−22i2−i2i2−i2−i2i22−2−220000000000
χ5022-2-22-2-2200−2i2i−2i2i-2022-2000002i−2i2i2i−2i−2i0000−22−22i2−i2i2−i20-2200000000002−2−i2i2−i2i2i2−i2−222−20000000000
χ5122-2-22-2-2200−2i2i−2i2i-2022-2000002i−2i−2i−2i2i2i00002−22−2−i2i2−i2i202-20000000000−22i2−i2−i2i2i2−i2−222−20000000000
χ5222-2-22-2-2200−2i2i−2i2i-2022-2000002i−2i−2i−2i2i2i0000−22−22i2−i2i2−i202-200000000002−2−i2i2i2−i2−i2i22−2−220000000000
χ532-22-2-22-22220000-2-22-22-2002-2002-22-22-22-200000000000002i−2i2i−2i00000000000000002i−2i00000000
χ542-22-2-22-22220000-2-22-22-2002-2002-22-22-22-20000000000000−2i2i−2i2i0000000000000000−2i2i00000000
χ552-22-2-22-22220000-2-22-22-2002-200-22-22-22-2200000000000002i−2i2i−2i0000000000000000−2i2i00000000
χ562-22-2-22-22220000-2-22-22-2002-200-22-22-22-220000000000000−2i2i−2i2i00000000000000002i−2i00000000
χ572-22-2-22-22-2-20000-222-22200-22002-22-2-22-22000000000000000002-22-2000000000000002-2000000
χ582-22-2-22-22-2-20000-222-22200-22002-22-2-22-2200000000000000000-22-2200000000000000-22000000
χ592-22-2-22-22-2-20000-222-22200-2200-22-222-22-2000000000000000002-22-200000000000000-22000000
χ602-22-2-22-22-2-20000-222-22200-2200-22-222-22-200000000000000000-22-22000000000000002-2000000
χ614444-4-4-4-4-4444-4-40-40004-440000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-44-4-4440-400044-40000000000000000000000000000000000000000000000000000000
χ6344-4-4-444-4004i−4i−4i4i0000000000000000000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000
χ6444-4-4-444-4004i−4i−4i4i00000000000000000000−222222−22−2i22i22i2−2i200000000000000000000000000000000000
χ6544-4-4-444-400−4i4i4i−4i0000000000000000000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000
χ6644-4-4-444-400−4i4i4i−4i00000000000000000000−222222−222i2−2i2−2i22i200000000000000000000000000000000000
χ674-44-44-44-44-400000-400040000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ684-44-44-44-44-400000-40004000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ694-44-44-44-4-44000004000-4000000000000000000000000000000022−22−22220000000000000000000000
χ704-44-44-44-4-44000004000-40000000000000000000000000000000−222222−220000000000000000000000
χ714-44-4-44-444400004-4-44-4-400-4400000000000000000000000000000000000000000000000000000
χ724-44-4-44-44-4-4000044-44-44004-400000000000000000000000000000000000000000000000000000
χ734-4-44-4-444000000404-4-400000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ744-4-44-4-444000000404-4-40000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ754-4-44-4-444000000-40-444000000000004-4-440000000000000000000000000000000000000000000
χ764-4-44-4-444000000-40-44400000000000-444-40000000000000000000000000000000000000000000
χ778-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000000000

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