Finite Group Databasebeta

← Group #305804

Character table — Group #305804

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
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
χ71111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111-111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-11-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1111-1-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-1111-1-1-11
χ172222222222-2-2-222-200000000-22222-200002222-2-2-2-200000000-2-2000022-2-200000000000000000000
χ182222222222-2-2-222-200000000-22222-20000-2-2-2-2222200000000-2-20000-2-22200000000000000000000
χ192222222222-2-2-222-200000000-2-2-2-2-2-200002222-2-2-2-200000000220000-2-22200000000000000000000
χ202222222222-2-2-222-200000000-2-2-2-2-2-20000-2-2-2-222220000000022000022-2-200000000000000000000
χ2122222222-2-2222-2-2222222222-20000-2-2-2-2-200000000000000000022220000000000000000-2-2000000
χ2222222222-2-2222-2-2222222222-20000-2-2-2-2-2000000000000000000-2-2-2-2000000000000000022000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2-2-2-20000-2222200000000000000000022-2-20000000000000000-22000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2-2-2-20000-22222000000000000000000-2-22200000000000000002-2000000
χ252222-2-2-2-2222-22-2-2-200000000-222-2-220000000000002222-2-2-2-22-20000000022-2-20000000000000000
χ262222-2-2-2-2222-22-2-2-200000000-222-2-22000000000000-2-2-2-222222-200000000-2-2220000000000000000
χ272222-2-2-2-2222-22-2-2-200000000-2-2-22220000000000002222-2-2-2-2-2200000000-2-2220000000000000000
χ282222-2-2-2-2222-22-2-2-200000000-2-2-2222000000000000-2-2-2-22222-220000000022-2-20000000000000000
χ292222-2-2-2-222-22-2-2-222222-2-2-2-2222-2-2-222-2-20000000000000000-2200000000000022-2-2000000000000
χ302222-2-2-2-222-22-2-2-222222-2-2-2-22-2-222-222-2-200000000000000002-2000000000000-2-222000000000000
χ312222-2-2-2-222-22-2-2-22-2-2-2-22222222-2-2-2-2-2220000000000000000-22000000000000-2-222000000000000
χ322222-2-2-2-222-22-2-2-22-2-2-2-222222-2-222-2-2-22200000000000000002-200000000000022-2-2000000000000
χ332222-2-2-2-2-2-2-22-22222222-2-2-2-2-200002-2-22200000000000000000000000000000000002i−2i2i−2i00000000
χ342222-2-2-2-2-2-2-22-22222222-2-2-2-2-200002-2-2220000000000000000000000000000000000−2i2i−2i2i00000000
χ352222-2-2-2-2-2-2-22-2222-2-2-2-22222-20000222-2-200000000000000000000000000000000002i−2i−2i2i00000000
χ362222-2-2-2-2-2-2-22-2222-2-2-2-22222-20000222-2-20000000000000000000000000000000000−2i2i2i−2i00000000
χ3722-2-22-22-22-20002-20i2i2−i2−i2i2i2−i2−i202i−2i2i−2i0i2−i2i2−i2000022-2-2i2i2−i2−i2i2i2−i2−i2000000002i−2i2−22−22−22−2000000000000
χ3822-2-22-22-22-20002-20i2i2−i2−i2i2i2−i2−i202i−2i2i−2i0i2−i2i2−i20000-2-222−i2−i2i2i2−i2−i2i2i200000000−2i2i−22−222−22−2000000000000
χ3922-2-22-22-22-20002-20i2i2−i2−i2i2i2−i2−i20−2i2i−2i2i0i2−i2i2−i2000022-2-2i2i2−i2−i2i2i2−i2−i200000000−2i2i−22−22−22−22000000000000
χ4022-2-22-22-22-20002-20i2i2−i2−i2i2i2−i2−i20−2i2i−2i2i0i2−i2i2−i20000-2-222−i2−i2i2i2−i2−i2i2i2000000002i−2i2−22−2−22−22000000000000
χ4122-2-22-22-22-20002-20−i2−i2i2i2−i2−i2i2i202i−2i2i−2i0−i2i2−i2i2000022-2-2−i2−i2i2i2−i2−i2i2i2000000002i−2i−22−22−22−22000000000000
χ4222-2-22-22-22-20002-20−i2−i2i2i2−i2−i2i2i202i−2i2i−2i0−i2i2−i2i20000-2-222i2i2−i2−i2i2i2−i2−i200000000−2i2i2−22−2−22−22000000000000
χ4322-2-22-22-22-20002-20−i2−i2i2i2−i2−i2i2i20−2i2i−2i2i0−i2i2−i2i2000022-2-2−i2−i2i2i2−i2−i2i2i200000000−2i2i2−22−22−22−2000000000000
χ4422-2-22-22-22-20002-20−i2−i2i2i2−i2−i2i2i20−2i2i−2i2i0−i2i2−i2i20000-2-222i2i2−i2−i2i2i2−i2−i2000000002i−2i−22−222−22−2000000000000
χ4522-2-2-22-222-2000-220i2i2−i2−i2−i2−i2i2i202i−2i−2i2i0i2−i2−i2i222-2-20000i2i2−i2−i2−i2−i2i2i20000002i−2i002−2−222−2−22000000000000
χ4622-2-2-22-222-2000-220i2i2−i2−i2−i2−i2i2i202i−2i−2i2i0i2−i2−i2i2-2-2220000−i2−i2i2i2i2i2−i2−i2000000−2i2i00−222−22−2−22000000000000
χ4722-2-2-22-222-2000-220i2i2−i2−i2−i2−i2i2i20−2i2i2i−2i0i2−i2−i2i222-2-20000i2i2−i2−i2−i2−i2i2i2000000−2i2i00−222−2−222−2000000000000
χ4822-2-2-22-222-2000-220i2i2−i2−i2−i2−i2i2i20−2i2i2i−2i0i2−i2−i2i2-2-2220000−i2−i2i2i2i2i2−i2−i20000002i−2i002−2−22−222−2000000000000
χ4922-2-2-22-222-2000-220−i2−i2i2i2i2i2−i2−i202i−2i−2i2i0−i2i2i2−i222-2-20000−i2−i2i2i2i2i2−i2−i20000002i−2i00−222−2−222−2000000000000
χ5022-2-2-22-222-2000-220−i2−i2i2i2i2i2−i2−i202i−2i−2i2i0−i2i2i2−i2-2-2220000i2i2−i2−i2−i2−i2i2i2000000−2i2i002−2−22−222−2000000000000
χ5122-2-2-22-222-2000-220−i2−i2i2i2i2i2−i2−i20−2i2i2i−2i0−i2i2i2−i222-2-20000−i2−i2i2i2i2i2−i2−i2000000−2i2i002−2−222−2−22000000000000
χ5222-2-2-22-222-2000-220−i2−i2i2i2i2i2−i2−i20−2i2i2i−2i0−i2i2i2−i2-2-2220000i2i2−i2−i2−i2−i2i2i20000002i−2i00−222−22−2−22000000000000
χ532-2-2222-2-2002-2-20022-22-22-22-20000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-22-2000000000000000000i2−i2i2−i200
χ542-2-2222-2-2002-2-20022-22-22-22-20000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200-22-22000000000000000000−i2i2−i2i200
χ552-2-2222-2-2002-2-20022-22-22-22-20000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-22-2000000000000000000−i2i2−i2i200
χ562-2-2222-2-2002-2-20022-22-22-22-20000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200-22-22000000000000000000i2−i2i2−i200
χ572-2-2222-2-2002-2-2002-22-22-22-220000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2002-2-22000000000000000000i2−i2−i2i200
χ582-2-2222-2-2002-2-2002-22-22-22-220000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200-222-2000000000000000000−i2i2i2−i200
χ592-2-2222-2-2002-2-2002-22-22-22-220000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2002-2-22000000000000000000−i2i2i2−i200
χ602-2-2222-2-2002-2-2002-22-22-22-220000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200-222-2000000000000000000i2−i2−i2i200
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-44-4444-40000000040000-400000000000000000000000000000000000000000000000000
χ6344-4-44-44-4-44000-4402i22i2−2i2−2i22i22i2−2i2−2i2000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ6444-4-44-44-4-44000-440−2i2−2i22i22i2−2i2−2i22i22i20000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ6544-4-4-44-44-440004-402i22i2−2i2−2i2−2i2−2i22i22i2000000−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ6644-4-4-44-44-440004-40−2i2−2i22i22i22i22i2−2i2−2i20000002i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ674-44-44-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000002i2−2i2−2i22i2-222-2-222-2000000000000000000000000000000
χ684-44-44-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000−2i22i22i2−2i22-2-222-2-22000000000000000000000000000000
χ694-44-44-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000002i2−2i2−2i22i22-2-222-2-22000000000000000000000000000000
χ704-44-44-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000−2i22i22i2−2i2-222-2-222-2000000000000000000000000000000
χ714-44-4-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i200000000002i2−2i2−2i22i20000-222-22-2-22000000000000000000000000000000
χ724-44-4-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000−2i22i22i2−2i200002-2-22-222-2000000000000000000000000000000
χ734-44-4-444-400000000−2i22i22i2−2i22i2−2i2−2i22i200000000002i2−2i2−2i22i200002-2-22-222-2000000000000000000000000000000
χ744-44-4-444-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000−2i22i22i2−2i20000-222-22-2-22000000000000000000000000000000
χ754-4-4444-4-400-44400-40000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ764-4-4444-4-400-44400-4000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ774-4-44-4-4440044-400-4000000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ784-4-44-4-4440044-400-400000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ794-4-44-4-44400-4-440044-44-4-44-4400000000000000000000000000000000000000000000000000000000
χ804-4-44-4-44400-4-44004-44-444-44-400000000000000000000000000000000000000000000000000000000

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