Finite Group Databasebeta

← Group #349536

Character table — Group #349536

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444444444444422222244444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-11
χ121111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1111-1
χ131111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111-111-1-111111111-1-1-1-111-1-1-1-111-11
χ141111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-11111-1-11-1
χ151111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11111-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-2-2222222-2-222-2-22222222200000000-2-2-2000000-2-2-2000000000000000000000000
χ182222222222-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-200000000-222000000-222000000000000000000000000
χ192222222222-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-200000000-2-2-2000000222000000000000000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2222200000000-2220000002-2-2000000000000000000000000
χ2122222222-2-22222222-2-22-2-2-2220000000022222222-2000000-2-2-200-2-20000000000000000000000
χ2222222222-2-22222222-2-22-2-2-22200000000-2-2-2-2-2-2-2-2-200000022-200220000000000000000000000
χ2322222222-2-2222-2-2-2-2-2-22-222-2-2000000002222-2-2-2-2-2000000-2-2200220000000000000000000000
χ2422222222-2-2222-2-2-2-2-2-22-222-2-200000000-2-2-2-22222-200000022200-2-20000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-22-2-2-2-2000000000000000020022-2-2002000022-2-2000000000000000000
χ2622222222-2-2-2-2-22222-2-2-22-2-2-2-20000000000000000200-2-2220020000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222000000000000000020022-2-200-20000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222220000000000000000200-2-22200-2000022-2-2000000000000000000
χ292222-2-2-2-22222-20000-2-2-22000022-2-2000022-2-20000-22-22-22-22-2000000000000000000000000000
χ302222-2-2-2-22222-20000-2-2-22000022-2-20000-2-2220000-22-2-22-22-22000000000000000000000000000
χ312222-2-2-2-22222-20000-2-2-220000-2-222000022-2-20000-2-22-22-222-2000000000000000000000000000
χ322222-2-2-2-22222-20000-2-2-220000-2-2220000-2-2220000-2-222-22-2-22000000000000000000000000000
χ332222-2-2-2-222-2-220000-2-22-2000022-2-2000000002i2i−2i−2i2-220000000002i−2i2i−2i2i−2i000000000000000000
χ342222-2-2-2-222-2-220000-2-22-2000022-2-200000000−2i−2i2i2i2-22000000000−2i2i−2i2i−2i2i000000000000000000
χ352222-2-2-2-222-2-220000-2-22-20000-2-222000000002i2i−2i−2i22-20000000002i−2i−2i2i−2i2i000000000000000000
χ362222-2-2-2-222-2-220000-2-22-20000-2-22200000000−2i−2i2i2i22-2000000000−2i2i2i−2i2i−2i000000000000000000
χ372222-2-2-2-2-2-222-2000022-2-2000000002i2i−2i−2i22-2-200002000000-2202i−2i002i−2i−2i2i000000000000000000
χ382222-2-2-2-2-2-222-2000022-2-2000000002i2i−2i−2i-2-222000020000002-202i−2i00−2i2i2i−2i000000000000000000
χ392222-2-2-2-2-2-222-2000022-2-200000000−2i−2i2i2i22-2-200002000000-220−2i2i00−2i2i2i−2i000000000000000000
χ402222-2-2-2-2-2-222-2000022-2-200000000−2i−2i2i2i-2-222000020000002-20−2i2i002i−2i−2i2i000000000000000000
χ412222-2-2-2-2-2-2-2-2200002222000000002i2i−2i−2i00002i2i−2i−2i-2002-2-22000−2i2i−2i2i0000000000000000000000
χ422222-2-2-2-2-2-2-2-2200002222000000002i2i−2i−2i0000−2i−2i2i2i-200-222-2000−2i2i2i−2i0000000000000000000000
χ432222-2-2-2-2-2-2-2-220000222200000000−2i−2i2i2i00002i2i−2i−2i-200-222-20002i−2i−2i2i0000000000000000000000
χ442222-2-2-2-2-2-2-2-220000222200000000−2i−2i2i2i0000−2i−2i2i2i-2002-2-220002i−2i2i−2i0000000000000000000000
χ4522-2-22-22-22-20002i2i−2i−2i2-2002i−2i002i−2i2i−2i2-22-200000000000000000000000000i2i2−i2−i222−2−200002−2i2−i200
χ4622-2-22-22-22-20002i2i−2i−2i2-2002i−2i002i−2i2i−2i2-22-200000000000000000000000000−i2−i2i2i2−2−2220000−22−i2i200
χ4722-2-22-22-22-20002i2i−2i−2i2-2002i−2i00−2i2i−2i2i-22-2200000000000000000000000000i2i2−i2−i222−2−20000−22−i2i200
χ4822-2-22-22-22-20002i2i−2i−2i2-2002i−2i00−2i2i−2i2i-22-2200000000000000000000000000−i2−i2i2i2−2−22200002−2i2−i200
χ4922-2-22-22-22-2000−2i−2i2i2i2-200−2i2i002i−2i2i−2i-22-2200000000000000000000000000i2i2−i2−i2−2−22200002−2−i2i200
χ5022-2-22-22-22-2000−2i−2i2i2i2-200−2i2i002i−2i2i−2i-22-2200000000000000000000000000−i2−i2i2i222−2−20000−22i2−i200
χ5122-2-22-22-22-2000−2i−2i2i2i2-200−2i2i00−2i2i−2i2i2-22-200000000000000000000000000i2i2−i2−i2−2−2220000−22i2−i200
χ5222-2-22-22-22-2000−2i−2i2i2i2-200−2i2i00−2i2i−2i2i2-22-200000000000000000000000000−i2−i2i2i222−2−200002−2−i2i200
χ532-2-222-2-22002-222-22-200-20002-2000000002-22-22-22-2000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000
χ542-2-222-2-22002-222-22-200-20002-2000000002-22-22-22-2000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000
χ552-2-222-2-22002-222-22-200-20002-200000000-22-22-22-22000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000
χ562-2-222-2-22002-222-22-200-20002-200000000-22-22-22-22000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000
χ572-2-222-2-22002-22-22-2200-2000-22000000002-22-2-22-22000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2000000
χ582-2-222-2-22002-22-22-2200-2000-22000000002-22-2-22-22000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2000000
χ592-2-222-2-22002-22-22-2200-2000-2200000000-22-222-22-2000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2000000
χ602-2-222-2-22002-22-22-2200-2000-2200000000-22-222-22-2000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2000000
χ6144-4-44-44-4-440004i4i−4i−4i-4400−4i4i000000000000000000000000000000000000000000000000000000
χ6244-4-44-44-4-44000−4i−4i4i4i-44004i−4i000000000000000000000000000000000000000000000000000000
χ6344-4-4-44-444-40000000-440000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ6444-4-4-44-444-40000000-44000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ6544-4-4-44-44-4400000004-400000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ6644-4-4-44-44-4400000004-40000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ674-44-444-4-4000004i−4i−4i4i0000000000000000000000000000000000000000002-2-22−2i2i2i−2i0000000000
χ684-44-444-4-4000004i−4i−4i4i000000000000000000000000000000000000000000-222-22i−2i−2i2i0000000000
χ694-44-444-4-400000−4i4i4i−4i0000000000000000000000000000000000000000002-2-222i−2i−2i2i0000000000
χ704-44-444-4-400000−4i4i4i−4i000000000000000000000000000000000000000000-222-2−2i2i2i−2i0000000000
χ714-4-444-4-4400-44-44-44-4004000-440000000000000000000000000000000000000000000000000000
χ724-4-444-4-4400-44-4-44-440040004-40000000000000000000000000000000000000000000000000000
χ734-4-44-444-4004-4-4000000400000000000004-4-440000000000000000000000000000000000000000
χ744-4-44-444-4004-4-400000040000000000000-444-40000000000000000000000000000000000000000
χ754-4-44-444-400-444000000-4000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ764-4-44-444-400-444000000-400000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ778-88-8-8-888000000000000000000000000000000000000000000000000000000000000000000000

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