Finite Group Databasebeta

← Group #398276

Character table — Group #398276

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444444444422444444888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-11-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1111-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-1111-1-1-111
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111-11-1-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-11-111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1111-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111111-11-1-1-111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1111-111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-11-1-111
χ17222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2000000000000000000000000000000002-202-200000000000
χ18222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-200000000000000000000000000000000-220-2200000000000
χ19222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222000000000000000000000000000000002-20-2200000000000
χ20222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22200000000000000000000000000000000-2202-200000000000
χ2122222222-2-2-2-222-2-22222222222-2-2-2-2-2-20000000000000000000000000000000000200002-200-20000
χ2222222222-2-2-2-222-2-22222222222-2-2-2-2-2-20000000000000000000000000000000000-20000-220020000
χ2322222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000000000000020000-2-20020000
χ2422222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222-2-222220000000000000000000000000000000000-200002200-20000
χ2522222222-2-2-2-2-2-2222222-2-2-2-2-2-222-2-222000000000000000022-2-222-2-2000000000000000000000000
χ2622222222-2-2-2-2-2-2222222-2-2-2-2-2-222-2-2220000000000000000-2-222-2-222000000000000000000000000
χ2722222222-2-2-2-2-2-222-2-2-2-22222-2-22222-2-2000000000000000022-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-22222-2-22222-2-20000000000000000-2-22222-2-2000000000000000000000000
χ2922-222-2-2-22-22-22-2-2-2000000002-2220000000000002i2i2i2i−2i−2i−2i−2i00002i−2i2i−2i22-2-200000000000000000000
χ3022-222-2-2-22-22-22-2-2-2000000002-2220000000000002i2i2i2i−2i−2i−2i−2i0000−2i2i−2i2i-2-22200000000000000000000
χ3122-222-2-2-22-22-22-2-2-2000000002-222000000000000−2i−2i−2i−2i2i2i2i2i00002i−2i2i−2i-2-22200000000000000000000
χ3222-222-2-2-22-22-22-2-2-2000000002-222000000000000−2i−2i−2i−2i2i2i2i2i0000−2i2i−2i2i22-2-200000000000000000000
χ3322-222-2-2-2-22-22-22-2-200000000-222200002i2i2i2i−2i−2i−2i−2i0000000000002i−2i−2i2i000022-2-20000000000000000
χ3422-222-2-2-2-22-22-22-2-200000000-222200002i2i2i2i−2i−2i−2i−2i000000000000−2i2i2i−2i0000-2-2220000000000000000
χ3522-222-2-2-2-22-22-22-2-200000000-22220000−2i−2i−2i−2i2i2i2i2i0000000000002i−2i−2i2i0000-2-2220000000000000000
χ3622-222-2-2-2-22-22-22-2-200000000-22220000−2i−2i−2i−2i2i2i2i2i000000000000−2i2i2i−2i000022-2-20000000000000000
χ372-222-22-2-22-2-222-22-22i2i−2i−2i2i2i−2i−2i-222-22i−2i2i−2i0000000000000000000000002i−2i2i−2i2-22-20000000000000000
χ382-222-22-2-22-2-222-22-22i2i−2i−2i2i2i−2i−2i-222-22i−2i2i−2i000000000000000000000000−2i2i−2i2i-22-220000000000000000
χ392-222-22-2-22-2-222-22-2−2i−2i2i2i−2i−2i2i2i-222-2−2i2i−2i2i0000000000000000000000002i−2i2i−2i-22-220000000000000000
χ402-222-22-2-22-2-222-22-2−2i−2i2i2i−2i−2i2i2i-222-2−2i2i−2i2i000000000000000000000000−2i2i−2i2i2-22-20000000000000000
χ412-222-22-2-22-2-22-22-222i2i−2i−2i−2i−2i2i2i2-2-222i−2i−2i2i000000000000000000000000000000000000000000002-22i−2i
χ422-222-22-2-22-2-22-22-222i2i−2i−2i−2i−2i2i2i2-2-222i−2i−2i2i00000000000000000000000000000000000000000000-22−2i2i
χ432-222-22-2-22-2-22-22-22−2i−2i2i2i2i2i−2i−2i2-2-22−2i2i2i−2i000000000000000000000000000000000000000000002-2−2i2i
χ442-222-22-2-22-2-22-22-22−2i−2i2i2i2i2i−2i−2i2-2-22−2i2i2i−2i00000000000000000000000000000000000000000000-222i−2i
χ452-222-22-2-2-222-22-2-222i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i00000000000000000000000000000000000002-2002i−2i00000
χ462-222-22-2-2-222-22-2-222i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i0000000000000000000000000000000000000-2200−2i2i00000
χ472-222-22-2-2-222-22-2-22−2i−2i2i2i−2i−2i2i2i-22-222i−2i2i−2i00000000000000000000000000000000000002-200−2i2i00000
χ482-222-22-2-2-222-22-2-22−2i−2i2i2i−2i−2i2i2i-22-222i−2i2i−2i0000000000000000000000000000000000000-22002i−2i00000
χ492-222-22-2-2-222-2-222-22i2i−2i−2i−2i−2i2i2i2-22-2−2i2i2i−2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ502-222-22-2-2-222-2-222-22i2i−2i−2i−2i−2i2i2i2-22-2−2i2i2i−2i-2-222-2-222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ512-222-22-2-2-222-2-222-2−2i−2i2i2i2i2i−2i−2i2-22-22i−2i−2i2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ522-222-22-2-2-222-2-222-2−2i−2i2i2i2i2i−2i−2i2-22-22i−2i−2i2i-2-222-2-2222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ532-2-22-2-22222-2-222-2200000000-2-22-200002i2i−2i−2i−2i−2i2i2i000000002-22-200002i−2i−2i2i00000000000000000000
χ542-2-22-2-22222-2-222-2200000000-2-22-200002i2i−2i−2i−2i−2i2i2i00000000-22-220000−2i2i2i−2i00000000000000000000
χ552-2-22-2-22222-2-222-2200000000-2-22-20000−2i−2i2i2i2i2i−2i−2i000000002-22-20000−2i2i2i−2i00000000000000000000
χ562-2-22-2-22222-2-222-2200000000-2-22-20000−2i−2i2i2i2i2i−2i−2i00000000-22-2200002i−2i−2i2i00000000000000000000
χ572-2-22-2-222-2-222-2-2-2200000000222-200000000000022-2-2-2-2222-2-22000000002-2-220000000000000000
χ582-2-22-2-222-2-222-2-2-2200000000222-200000000000022-2-2-2-222-222-200000000-222-20000000000000000
χ592-2-22-2-222-2-222-2-2-2200000000222-2000000000000-2-22222-2-22-2-2200000000-222-20000000000000000
χ602-2-22-2-222-2-222-2-2-2200000000222-2000000000000-2-22222-2-2-222-2000000002-2-220000000000000000
χ61444-4-4-4-44000000004i−4i4i−4i0000000000002i−2i2i−2i2i−2i2i−2i2-22-22-22-200000000000000000000000000000000
χ62444-4-4-4-44000000004i−4i4i−4i000000000000−2i2i−2i2i−2i2i−2i2i-22-22-22-2200000000000000000000000000000000
χ63444-4-4-4-4400000000−4i4i−4i4i0000000000002i−2i2i−2i2i−2i2i−2i-22-22-22-2200000000000000000000000000000000
χ64444-4-4-4-4400000000−4i4i−4i4i000000000000−2i2i−2i2i−2i2i−2i2i2-22-22-22-200000000000000000000000000000000
χ6544-444-4-4-44-44-4-444400000000-44-4-40000000000000000000000000000000000000000000000000000
χ6644-444-4-4-4-44-444-444000000004-4-4-40000000000000000000000000000000000000000000000000000
χ6744-4-4-444-40000000000004i−4i4i−4i000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ6844-4-4-444-40000000000004i−4i4i−4i00000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ6944-4-4-444-4000000000000−4i4i−4i4i000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ7044-4-4-444-4000000000000−4i4i−4i4i00000000-22-222-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ714-44-44-44-4000000004-4-440000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ724-44-44-44-4000000004-4-44000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ734-44-44-44-400000000-444-40000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ744-44-44-44-400000000-444-4000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ754-4-44-4-44444-4-4-4-44-40000000044-440000000000000000000000000000000000000000000000000000
χ764-4-44-4-444-4-444444-400000000-4-4-440000000000000000000000000000000000000000000000000000
χ774-4-4-444-440000000000004-4-44000000002-2-22-222-2-222-22-2-2200000000000000000000000000000000
χ784-4-4-444-440000000000004-4-4400000000-222-22-2-222-2-22-222-200000000000000000000000000000000
χ794-4-4-444-44000000000000-444-4000000002-2-22-222-22-2-22-222-200000000000000000000000000000000
χ804-4-4-444-44000000000000-444-400000000-222-22-2-22-222-22-2-2200000000000000000000000000000000

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