Finite Group Databasebeta

← Group #307403

Character table — Group #307403

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-11-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-111-1111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-11-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-1111-1-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1111-1-1-11
χ172222222222-2-222-2-200000000-22222-200002222-2-2-2-20000000000-2-22200-2-200000000000000000000
χ182222222222-2-222-2-200000000-22222-20000-2-2-2-222220000000000-2-2-2-2002200000000000000000000
χ192222222222-2-222-2-200000000-2-2-2-2-2-200002222-2-2-2-2000000000022-2-2002200000000000000000000
χ202222222222-2-222-2-200000000-2-2-2-2-2-20000-2-2-2-222220000000000222200-2-200000000000000000000
χ2122222222-2-222-2-22222222222-20000-2-2-2-2-200000000000000002200002200000000000000-2-2000000
χ2222222222-2-222-2-22222222222-20000-2-2-2-2-20000000000000000-2-20000-2-20000000000000022000000
χ2322222222-2-222-2-222-2-2-2-2-2-2-2-2-20000-222220000000000000000220000-2-200000000000000-22000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-2-2-20000-222220000000000000000-2-2000022000000000000002-2000000
χ2522-2-22-22-2002-2002-22i2i2i2i−2i−2i−2i−2i0000000000i2i2−i2−i2i2i2−i2−i22222−2−2−2−22-200002i−2i0000000000000000i2−i22−200
χ2622-2-22-22-2002-2002-22i2i2i2i−2i−2i−2i−2i0000000000i2i2−i2−i2i2i2−i2−i22222−2−2−2−2-220000−2i2i0000000000000000−i2i2−2200
χ2722-2-22-22-2002-2002-22i2i2i2i−2i−2i−2i−2i0000000000−i2−i2i2i2−i2−i2i2i2−2−2−2−222222-200002i−2i0000000000000000−i2i2−2200
χ2822-2-22-22-2002-2002-22i2i2i2i−2i−2i−2i−2i0000000000−i2−i2i2i2−i2−i2i2i2−2−2−2−22222-220000−2i2i0000000000000000i2−i22−200
χ2922-2-22-22-2002-2002-2−2i−2i−2i−2i2i2i2i2i0000000000i2i2−i2−i2i2i2−i2−i2−2−2−2−222222-20000−2i2i0000000000000000i2−i2−2200
χ3022-2-22-22-2002-2002-2−2i−2i−2i−2i2i2i2i2i0000000000i2i2−i2−i2i2i2−i2−i2−2−2−2−22222-2200002i−2i0000000000000000−i2i22−200
χ3122-2-22-22-2002-2002-2−2i−2i−2i−2i2i2i2i2i0000000000−i2−i2i2i2−i2−i2i2i22222−2−2−2−22-20000−2i2i0000000000000000−i2i22−200
χ3222-2-22-22-2002-2002-2−2i−2i−2i−2i2i2i2i2i0000000000−i2−i2i2i2−i2−i2i2i22222−2−2−2−2-2200002i−2i0000000000000000i2−i2−2200
χ3322-2-2-22-222-2002-200i2i2−i2−i2i2i2−i2−i2022-2-20i2i2−i2−i200002i−2i2i−2i22−2−222−2−2000000002i−2ii2i2−i2−i222−2−2000000000000
χ3422-2-2-22-222-2002-200i2i2−i2−i2i2i2−i2−i2022-2-20i2i2−i2−i20000−2i2i−2i2i−2−222−2−22200000000−2i2ii2i2−i2−i2−2−222000000000000
χ3522-2-2-22-222-2002-200i2i2−i2−i2i2i2−i2−i20-2-2220i2i2−i2−i200002i−2i2i−2i22−2−222−2−200000000−2i2i−i2−i2i2i2−2−222000000000000
χ3622-2-2-22-222-2002-200i2i2−i2−i2i2i2−i2−i20-2-2220i2i2−i2−i20000−2i2i−2i2i−2−222−2−222000000002i−2i−i2−i2i2i222−2−2000000000000
χ3722-2-2-22-222-2002-200−i2−i2i2i2−i2−i2i2i2022-2-20−i2−i2i2i200002i−2i2i−2i−2−222−2−222000000002i−2i−i2−i2i2i2−2−222000000000000
χ3822-2-2-22-222-2002-200−i2−i2i2i2−i2−i2i2i2022-2-20−i2−i2i2i20000−2i2i−2i2i22−2−222−2−200000000−2i2i−i2−i2i2i222−2−2000000000000
χ3922-2-2-22-222-2002-200−i2−i2i2i2−i2−i2i2i20-2-2220−i2−i2i2i200002i−2i2i−2i−2−222−2−22200000000−2i2ii2i2−i2−i222−2−2000000000000
χ4022-2-2-22-222-2002-200−i2−i2i2i2−i2−i2i2i20-2-2220−i2−i2i2i20000−2i2i−2i2i22−2−222−2−2000000002i−2ii2i2−i2−i2−2−222000000000000
χ412-22-22-2-222-200-2200i2−i2i2−i2i2−i2i2−i202i−2i2i−2i0i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i200002i−2i00002−22−22−22−2000000000000
χ422-22-22-2-222-200-2200i2−i2i2−i2i2−i2i2−i202i−2i2i−2i0i2−i2i2−i2-22-220000−i2i2−i2i2−i2i2−i2i20000−2i2i00002−22−2−22−22000000000000
χ432-22-22-2-222-200-2200i2−i2i2−i2i2−i2i2−i20−2i2i−2i2i0i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i20000−2i2i0000−22−22−22−22000000000000
χ442-22-22-2-222-200-2200i2−i2i2−i2i2−i2i2−i20−2i2i−2i2i0i2−i2i2−i2-22-220000−i2i2−i2i2−i2i2−i2i200002i−2i0000−22−222−22−2000000000000
χ452-22-22-2-222-200-2200−i2i2−i2i2−i2i2−i2i202i−2i2i−2i0−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i200002i−2i0000−22−22−22−22000000000000
χ462-22-22-2-222-200-2200−i2i2−i2i2−i2i2−i2i202i−2i2i−2i0−i2i2−i2i2-22-220000i2−i2i2−i2i2−i2i2−i20000−2i2i0000−22−222−22−2000000000000
χ472-22-22-2-222-200-2200−i2i2−i2i2−i2i2−i2i20−2i2i−2i2i0−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i20000−2i2i00002−22−22−22−2000000000000
χ482-22-22-2-222-200-2200−i2i2−i2i2−i2i2−i2i20−2i2i−2i2i0−i2i2−i2i2-22-220000i2−i2i2−i2i2−i2i2−i200002i−2i00002−22−2−22−22000000000000
χ492-2-22-2-2222222-2-2-2-22-2-222-2-22-22i−2i−2i2i22-2-220000000000000000002i−2i000000−2i2i2i−2i0000000000000000
χ502-2-22-2-2222222-2-2-2-22-2-222-2-22-2−2i2i2i−2i22-2-22000000000000000000−2i2i0000002i−2i−2i2i0000000000000000
χ512-2-22-2-2222222-2-2-2-2-222-2-222-2-22i−2i−2i2i2-222-20000000000000000002i−2i0000002i−2i−2i2i0000000000000000
χ522-2-22-2-2222222-2-2-2-2-222-2-222-2-2−2i2i2i−2i2-222-2000000000000000000−2i2i000000−2i2i2i−2i0000000000000000
χ532-2-22-2-22222-2-2-2-2220000000022i−2i−2i2i-20000000000002i−2i−2i2i2i−2i−2i2i00−2i2i00000000002-2-22000000000000
χ542-2-22-2-22222-2-2-2-2220000000022i−2i−2i2i-2000000000000−2i2i2i−2i−2i2i2i−2i00−2i2i0000000000-222-2000000000000
χ552-2-22-2-22222-2-2-2-222000000002−2i2i2i−2i-20000000000002i−2i−2i2i2i−2i−2i2i002i−2i0000000000-222-2000000000000
χ562-2-22-2-22222-2-2-2-222000000002−2i2i2i−2i-2000000000000−2i2i2i−2i−2i2i2i−2i002i−2i00000000002-2-22000000000000
χ572-2-22-2-222-2-22222-2-22-2-222-2-2220000-2-222-200000000000000000000000000000000002i−2i2i−2i00000000
χ582-2-22-2-222-2-22222-2-22-2-222-2-2220000-2-222-20000000000000000000000000000000000−2i2i−2i2i00000000
χ592-2-22-2-222-2-22222-2-2-222-2-222-220000-22-2-2200000000000000000000000000000000002i−2i−2i2i00000000
χ602-2-22-2-222-2-22222-2-2-222-2-222-220000-22-2-220000000000000000000000000000000000−2i2i2i−2i00000000
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ624444-4-4-4-4000000002222−22−22−22−2222220000000000000022−22−222222-2-2-2-222000000000000000000000000000000
χ634444-4-4-4-4000000002222−22−22−22−22222200000000000000−222222−22-2-22222-2-2000000000000000000000000000000
χ644444-4-4-4-400000000−22−2222222222−22−220000000000000022−22−2222-2-22222-2-2000000000000000000000000000000
χ654444-4-4-4-400000000−22−2222222222−22−2200000000000000−222222−2222-2-2-2-222000000000000000000000000000000
χ6644-4-44-44-400-4400-440000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ6744-4-44-44-400-4400-44000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ6844-4-4-44-44-4400-44002i22i2−2i2−2i22i22i2−2i2−2i2000000−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ6944-4-4-44-44-4400-4400−2i2−2i22i22i2−2i2−2i22i22i20000002i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ704-44-44-4-44-44004-4002i2−2i22i2−2i22i2−2i22i2−2i2000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ714-44-44-4-44-44004-400−2i22i2−2i22i2−2i22i2−2i22i20000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ724-44-4-444-4004-400-444i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ734-44-4-444-4004-400-44−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ744-44-4-444-400-44004-4000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ754-44-4-444-400-44004-400000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ764-4-4444-4-40000000022−2222−22−2222−222200000000002i2−2i2−2i22i20000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ774-4-4444-4-40000000022−2222−22−2222−22220000000000−2i22i22i2−2i200002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ784-4-4444-4-400000000−2222−222222−2222−2200000000002i2−2i2−2i22i200002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ794-4-4444-4-400000000−2222−222222−2222−220000000000−2i22i22i2−2i20000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ804-4-44-4-444-4-4-4-4444400000000-40000400000000000000000000000000000000000000000000000000

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