Finite Group Databasebeta

← Group #300548

Character table — Group #300548

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888244444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ71111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-1-1-111
χ81111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-111-111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-11-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111111-1-111-1-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11111-111-1-1111-1-1-11
χ17222222222-2-22-2-22222222222-20000-2-2-2-2-20000000000000000000000222200000000-20000-2000000
χ18222222222-2-22-2-22222222222-20000-2-2-2-2-20000000000000000000000-2-2-2-200000000200002000000
χ19222222222-2-22-2-222-2-2-2-2-2-2-2-2-20000-22222000000000000000000000022-2-200000000-200002000000
χ20222222222-2-22-2-222-2-2-2-2-2-2-2-2-20000-222220000000000000000000000-2-2220000000020000-2000000
χ2122222222-222-222-2-200000000-22222-200002222-2-2-2-200000000-2-222-2-2000000000000000000000000
χ2222222222-222-222-2-200000000-22222-20000-2-2-2-2222200000000-2-2-2-222000000000000000000000000
χ2322222222-222-222-2-200000000-2-2-2-2-2-200002222-2-2-2-20000000022-2-222000000000000000000000000
χ2422222222-222-222-2-200000000-2-2-2-2-2-20000-2-2-2-22222000000002222-2-2000000000000000000000000
χ25222-2-2-2-22200-200-222222-2-2-2-20000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000002i−2i2i−2i000000000000002−22−200
χ26222-2-2-2-22200-200-222222-2-2-2-20000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000−2i2i−2i2i00000000000000−22−2200
χ27222-2-2-2-22200-200-222222-2-2-2-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000002i−2i2i−2i00000000000000−22−2200
χ28222-2-2-2-22200-200-222222-2-2-2-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000−2i2i−2i2i000000000000002−22−200
χ29222-2-2-2-22200-200-22-2-2-2-222220000000000i2i2−i2−i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i20000002i−2i−2i2i000000000000002−2−2200
χ30222-2-2-2-22200-200-22-2-2-2-222220000000000i2i2−i2−i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000−2i2i2i−2i00000000000000−222−200
χ31222-2-2-2-22200-200-22-2-2-2-222220000000000−i2−i2i2i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i20000002i−2i−2i2i00000000000000−222−200
χ32222-2-2-2-22200-200-22-2-2-2-222220000000000−i2−i2i2i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i2000000−2i2i2i−2i000000000000002−2−2200
χ3322-22-22-2-202-202-200i2i2−i2−i2i2i2−i2−i202i2i−2i−2i0i2i2−i2−i200002i−2i2i−2i22−2−222−2−200002-20000i2i2−i2−i222−2−2000000000000
χ3422-22-22-2-202-202-200i2i2−i2−i2i2i2−i2−i202i2i−2i−2i0i2i2−i2−i20000−2i2i−2i2i−2−222−2−2220000-220000−i2−i2i2i222−2−2000000000000
χ3522-22-22-2-202-202-200i2i2−i2−i2i2i2−i2−i20−2i−2i2i2i0i2i2−i2−i200002i−2i2i−2i22−2−222−2−20000-220000−i2−i2i2i2−2−222000000000000
χ3622-22-22-2-202-202-200i2i2−i2−i2i2i2−i2−i20−2i−2i2i2i0i2i2−i2−i20000−2i2i−2i2i−2−222−2−22200002-20000i2i2−i2−i2−2−222000000000000
χ3722-22-22-2-202-202-200−i2−i2i2i2−i2−i2i2i202i2i−2i−2i0−i2−i2i2i200002i−2i2i−2i−2−222−2−22200002-20000−i2−i2i2i2−2−222000000000000
χ3822-22-22-2-202-202-200−i2−i2i2i2−i2−i2i2i202i2i−2i−2i0−i2−i2i2i20000−2i2i−2i2i22−2−222−2−20000-220000i2i2−i2−i2−2−222000000000000
χ3922-22-22-2-202-202-200−i2−i2i2i2−i2−i2i2i20−2i−2i2i2i0−i2−i2i2i200002i−2i2i−2i−2−222−2−2220000-220000i2i2−i2−i222−2−2000000000000
χ4022-22-22-2-202-202-200−i2−i2i2i2−i2−i2i2i20−2i−2i2i2i0−i2−i2i2i20000−2i2i−2i2i22−2−222−2−200002-20000−i2−i2i2i222−2−2000000000000
χ412-22-222-2-20-2202-200i2−i2i2−i2i2−i2i2−i202i−2i2i−2i0i2−i2i2−i22i−2i2i−2i00002−22−22−22−2002-2000000i2−i2i2−i22−22−2000000000000
χ422-22-222-2-20-2202-200i2−i2i2−i2i2−i2i2−i202i−2i2i−2i0i2−i2i2−i2−2i2i−2i2i0000−22−22−22−2200-22000000−i2i2−i2i22−22−2000000000000
χ432-22-222-2-20-2202-200i2−i2i2−i2i2−i2i2−i20−2i2i−2i2i0i2−i2i2−i22i−2i2i−2i00002−22−22−22−200-22000000−i2i2−i2i2−22−22000000000000
χ442-22-222-2-20-2202-200i2−i2i2−i2i2−i2i2−i20−2i2i−2i2i0i2−i2i2−i2−2i2i−2i2i0000−22−22−22−22002-2000000i2−i2i2−i2−22−22000000000000
χ452-22-222-2-20-2202-200−i2i2−i2i2−i2i2−i2i202i−2i2i−2i0−i2i2−i2i22i−2i2i−2i0000−22−22−22−22002-2000000−i2i2−i2i2−22−22000000000000
χ462-22-222-2-20-2202-200−i2i2−i2i2−i2i2−i2i202i−2i2i−2i0−i2i2−i2i2−2i2i−2i2i00002−22−22−22−200-22000000i2−i2i2−i2−22−22000000000000
χ472-22-222-2-20-2202-200−i2i2−i2i2−i2i2−i2i20−2i2i−2i2i0−i2i2−i2i22i−2i2i−2i0000−22−22−22−2200-22000000i2−i2i2−i22−22−2000000000000
χ482-22-222-2-20-2202-200−i2i2−i2i2−i2i2−i2i20−2i2i−2i2i0−i2i2−i2i2−2i2i−2i2i00002−22−22−22−2002-2000000−i2i2−i2i22−22−2000000000000
χ492-2-2-2-22222-2-2-2222-200000000-22-2-2220000000000002-2-222-2-222-2000000002-2-220000000000000000
χ502-2-2-2-22222-2-2-2222-200000000-22-2-222000000000000-222-2-222-22-200000000-222-20000000000000000
χ512-2-2-2-22222-2-2-2222-200000000-2-222-220000000000002-2-222-2-22-2200000000-222-20000000000000000
χ522-2-2-2-22222-2-2-2222-200000000-2-222-22000000000000-222-2-222-2-22000000002-2-220000000000000000
χ532-2-2-2-2222-2222-2-2-222-2-222-2-22-200002-222-2000000000000000000000000000000000002-22-20000000
χ542-2-2-2-2222-2222-2-2-222-2-222-2-22-200002-222-200000000000000000000000000000000000-22-220000000
χ552-2-2-2-2222-2222-2-2-22-222-2-222-2-2000022-2-22000000000000000000000000000000000002-2-220000000
χ562-2-2-2-2222-2222-2-2-22-222-2-222-2-2000022-2-2200000000000000000000000000000000000-222-20000000
χ572-2-2-2-2222-2-2-2222-222-2-222-2-2222-2-22-22-2-220000000000000000-220000000000002-2-22000000000000
χ582-2-2-2-2222-2-2-2222-222-2-222-2-222-222-2-22-2-2200000000000000002-2000000000000-222-2000000000000
χ592-2-2-2-2222-2-2-2222-22-222-2-222-222-2-22-2-222-20000000000000000-22000000000000-222-2000000000000
χ602-2-2-2-2222-2-2-2222-22-222-2-222-22-222-2-2-222-200000000000000002-20000000000002-2-22000000000000
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ62444-4-4-4-44-4004004-40000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ63444-4-4-4-44-4004004-4000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ6444-44-44-4-40-440-44002i22i2−2i2−2i22i22i2−2i2−2i2000000−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ6544-44-44-4-40-440-4400−2i2−2i22i22i2−2i2−2i22i22i20000002i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ6644-4-44-44-4000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000022−22−2222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ6744-4-44-44-4000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000−222222−222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ6844-4-44-44-400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000022−22−22222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ6944-4-44-44-400000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000−222222−22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ704-444-4-44-4000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000022−22−22220000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ714-444-4-44-4000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000−222222−2200002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ724-444-4-44-400000000−2i22i2−2i22i22i2−2i22i2−2i2000000000022−22−222200002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ734-444-4-44-400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000−222222−220000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ744-44-444-4-404-40-44002i2−2i22i2−2i22i2−2i22i2−2i2000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ754-44-444-4-404-40-4400−2i22i2−2i22i2−2i22i2−2i22i20000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ764-4-444-4-44400400-4-4000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ774-4-444-4-44400400-4-400000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ784-4-444-4-44-400-400444-4-44-444-400000000000000000000000000000000000000000000000000000000
χ794-4-444-4-44-400-40044-444-44-4-4400000000000000000000000000000000000000000000000000000000
χ804-4-4-4-4444444-4-4-44-40000000040000-400000000000000000000000000000000000000000000000000

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