Finite Group Databasebeta

← Group #348755

Character table — Group #348755

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444222244444444444444444444444444444444444888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11
χ121111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111-1
χ131111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ141111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ151111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-1-11111111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-1-11111111-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ1722222222222222-2-2-222-22222222222-2-2-200000000-2-2-200-200000000-2-200000000000000000000
χ1822222222222222-2-2-222-2-2-2-2-222-2-2-2-2-2-2-200000000-22200-2000000002200000000000000000000
χ192222222222-2-2-2-2-2-2-222-22222-2-2-2-2-2-222-200000000-22200200000000-2-200000000000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2-2-2-2-2222222-200000000-2-2-2002000000002200000000000000000000
χ2122222222-2-22222222-2-220000-2-2000022-222222222-200-2-2-20000000000-2-2000000000000000000
χ2222222222-2-22222222-2-220000-2-2000022-2-2-2-2-2-2-2-2-2-20022-2000000000022000000000000000000
χ2322222222-2-22222-2-2-2-2-2-20000-2-20000-2-220000000020000222-2-222-2-20000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-20000-2-20000-2-2200000000200002-2-222-2-2220000000000000000000000
χ2522222222-2-2-2-2-2-2222-2-220000220000-2-2-22222-2-2-2-2-200-2-22000000000022000000000000000000
χ2622222222-2-2-2-2-2-2222-2-220000220000-2-2-2-2-2-2-22222-2002220000000000-2-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-200002200002220000000020000-222-2-2-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-200002200002220000000020000-2-2-22222-2-20000000000000000000000
χ2922-2-222-2-22-22i2i−2i−2i0002-2022-2-22i−2i2i2i−2i−2i0000000000000000000000000000022−2−2i2i2−i2−i200002−2i2−i200
χ3022-2-222-2-22-22i2i−2i−2i0002-2022-2-22i−2i2i2i−2i−2i00000000000000000000000000000−2−222−i2−i2i2i20000−22−i2i200
χ3122-2-222-2-22-22i2i−2i−2i0002-20-2-2222i−2i−2i−2i2i2i0000000000000000000000000000022−2−2i2i2−i2−i20000−22−i2i200
χ3222-2-222-2-22-22i2i−2i−2i0002-20-2-2222i−2i−2i−2i2i2i00000000000000000000000000000−2−222−i2−i2i2i200002−2i2−i200
χ3322-2-222-2-22-2−2i−2i2i2i0002-2022-2-2−2i2i−2i−2i2i2i0000000000000000000000000000022−2−2−i2−i2i2i200002−2−i2i200
χ3422-2-222-2-22-2−2i−2i2i2i0002-2022-2-2−2i2i−2i−2i2i2i00000000000000000000000000000−2−222i2i2−i2−i20000−22i2−i200
χ3522-2-222-2-22-2−2i−2i2i2i0002-20-2-222−2i2i2i2i−2i−2i0000000000000000000000000000022−2−2−i2−i2i2i20000−22i2−i200
χ3622-2-222-2-22-2−2i−2i2i2i0002-20-2-222−2i2i2i2i−2i−2i00000000000000000000000000000−2−222i2i2−i2−i200002−2−i2i200
χ3722-2-2-2-22222000022-2-2-2-20000002i−2i2i−2i00-22i2i−2i−2i000022i−2i2i−2i000002-22-20000000000000000000000
χ3822-2-2-2-22222000022-2-2-2-20000002i−2i2i−2i00-2−2i−2i2i2i000022i−2i−2i2i00000-22-220000000000000000000000
χ3922-2-2-2-22222000022-2-2-2-2000000−2i2i−2i2i00-22i2i−2i−2i00002−2i2i2i−2i00000-22-220000000000000000000000
χ4022-2-2-2-22222000022-2-2-2-2000000−2i2i−2i2i00-2−2i−2i2i2i00002−2i2i−2i2i000002-22-20000000000000000000000
χ4122-2-2-2-222220000-2-22-2-220000002i−2i2i−2i002000022-2-2-2−2i2i0002i−2i2i−2i0000002-2000000000000000000
χ4222-2-2-2-222220000-2-22-2-220000002i−2i2i−2i0020000-2-222-2−2i2i000−2i2i−2i2i000000-22000000000000000000
χ4322-2-2-2-222220000-2-22-2-22000000−2i2i−2i2i002000022-2-2-22i−2i000−2i2i−2i2i0000002-2000000000000000000
χ4422-2-2-2-222220000-2-22-2-22000000−2i2i−2i2i0020000-2-222-22i−2i0002i−2i2i−2i000000-22000000000000000000
χ4522-2-2-2-222-2-2000022-222-22-22-20000000022i2i−2i−2i0000-200−2i2i02i−2i−2i2i00002-200000000000000000000
χ4622-2-2-2-222-2-2000022-222-22-22-2000000002−2i−2i2i2i0000-2002i−2i0−2i2i2i−2i00002-200000000000000000000
χ4722-2-2-2-222-2-2000022-222-2-22-220000000022i2i−2i−2i0000-200−2i2i0−2i2i2i−2i0000-2200000000000000000000
χ4822-2-2-2-222-2-2000022-222-2-22-22000000002−2i−2i2i2i0000-2002i−2i02i−2i−2i2i0000-2200000000000000000000
χ4922-2-2-2-222-2-20000-2-222222-22-200000000-2000022-2-220000000002-2-22-22-22000000000000000000
χ5022-2-2-2-222-2-20000-2-222222-22-200000000-20000-2-2222000000000-222-2-222-2000000000000000000
χ5122-2-2-2-222-2-20000-2-22222-22-2200000000-2000022-2-22000000000-222-22-2-22000000000000000000
χ5222-2-2-2-222-2-20000-2-22222-22-2200000000-20000-2-22220000000002-2-222-22-2000000000000000000
χ532-2-222-2-22002-22-22-2200-200000000002-202i−2i2i−2i2i−2i2i−2i000000000000000000i2−i2i2−i2i2−i2i2−i22−22−2000000
χ542-2-222-2-22002-22-22-2200-200000000002-202i−2i2i−2i2i−2i2i−2i000000000000000000−i2i2−i2i2−i2i2−i2i2−22−22000000
χ552-2-222-2-22002-22-22-2200-200000000002-20−2i2i−2i2i−2i2i−2i2i000000000000000000i2−i2i2−i2i2−i2i2−i2−22−22000000
χ562-2-222-2-22002-22-22-2200-200000000002-20−2i2i−2i2i−2i2i−2i2i000000000000000000−i2i2−i2i2−i2i2−i2i22−22−2000000
χ572-2-222-2-2200-22-222-2200-20000000000-2202i−2i2i−2i−2i2i−2i2i000000000000000000i2−i2i2−i2−i2i2−i2i22−2−22000000
χ582-2-222-2-2200-22-222-2200-20000000000-2202i−2i2i−2i−2i2i−2i2i000000000000000000−i2i2−i2i2i2−i2i2−i2−222−2000000
χ592-2-222-2-2200-22-222-2200-20000000000-220−2i2i−2i2i2i−2i2i−2i000000000000000000i2−i2i2−i2−i2i2−i2i2−222−2000000
χ602-2-222-2-2200-22-222-2200-20000000000-220−2i2i−2i2i2i−2i2i−2i000000000000000000−i2i2−i2i2i2−i2i2−i22−2−22000000
χ614444-4-4-4-44-40000000-4400000004-4-4400000000000000000000000000000000000000000000000
χ624444-4-4-4-44-40000000-440000000-444-400000000000000000000000000000000000000000000000
χ634444-4-4-4-4-4400000004-404-4-4400000000000000000000000000000000000000000000000000000
χ644444-4-4-4-4-4400000004-40-444-400000000000000000000000000000000000000000000000000000
χ6544-4-444-4-4-444i4i−4i−4i000-4400000−4i4i000000000000000000000000000000000000000000000000000
χ6644-4-444-4-4-44−4i−4i4i4i000-44000004i−4i000000000000000000000000000000000000000000000000000
χ674-44-44-44-4004i−4i−4i4i0000000000000000000000000000000000000000000002i−2i−2i2i-222-20000000000
χ684-44-44-44-4004i−4i−4i4i000000000000000000000000000000000000000000000−2i2i2i−2i2-2-220000000000
χ694-44-44-44-400−4i4i4i−4i0000000000000000000000000000000000000000000002i−2i−2i2i2-2-220000000000
χ704-44-44-44-400−4i4i4i−4i000000000000000000000000000000000000000000000−2i2i2i−2i-222-20000000000
χ714-44-4-44-440000004-4-400400000000000004-4-440000000000000000000000000000000000000000
χ724-44-4-44-440000004-4-40040000000000000-444-40000000000000000000000000000000000000000
χ734-44-4-44-44000000-44400-4000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ744-44-4-44-44000000-44400-400000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ754-4-444-4-44004-44-4-44-40040000000000-44000000000000000000000000000000000000000000000
χ764-4-444-4-4400-44-44-44-400400000000004-4000000000000000000000000000000000000000000000
χ778-8-88-888-8000000000000000000000000000000000000000000000000000000000000000000000

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