Finite Group Databasebeta

← Group #280996

Character table — Group #280996

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1
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
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-11-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-11
χ17222222222-222-2-2-22000000002222-2-200002222-2-2-2-20000000022-2-20000-2-200000000000000000000
χ18222222222-222-2-2-22000000002222-2-20000-2-2-2-2222200000000-2-2-2-200002200000000000000000000
χ19222222222-222-2-2-2200000000-2-2-2-2-2-200002222-2-2-2-200000000-2-22200002200000000000000000000
χ20222222222-222-2-2-2200000000-2-2-2-2-2-20000-2-2-2-222220000000022220000-2-200000000000000000000
χ2122222222-22-2-2222-2222222220000-2-2-2-2-2-20000000000000000000022220000000000-2-20000000000
χ2222222222-22-2-2222-2222222220000-2-2-2-2-2-200000000000000000000-2-2-2-20000000000220000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-2-2-20000-2-222220000000000000000000022-2-20000000000-220000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2-2-20000-2-2222200000000000000000000-2-22200000000002-20000000000
χ25222-2-2-22-2-202-200022222−2−2−2−222-2-20022−2−200002i2i−2i−2ii2i2i2i2−i2−i2−i2−i2000000002i−2i22−2−2i2i2−i2−i2000000000000
χ26222-2-2-22-2-202-200022222−2−2−2−222-2-20022−2−20000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i200000000−2i2i22−2−2−i2−i2i2i2000000000000
χ27222-2-2-22-2-202-200022222−2−2−2−2-2-2220022−2−200002i2i−2i−2ii2i2i2i2−i2−i2−i2−i200000000−2i2i−2−222−i2−i2i2i2000000000000
χ28222-2-2-22-2-202-200022222−2−2−2−2-2-2220022−2−20000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2000000002i−2i−2−222i2i2−i2−i2000000000000
χ29222-2-2-22-2-202-20002−2−2−2−2222222-2-200−2−22200002i2i−2i−2i−i2−i2−i2−i2i2i2i2i2000000002i−2i−2−222−i2−i2i2i2000000000000
χ30222-2-2-22-2-202-20002−2−2−2−2222222-2-200−2−2220000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i200000000−2i2i−2−222i2i2−i2−i2000000000000
χ31222-2-2-22-2-202-20002−2−2−2−22222-2-22200−2−22200002i2i−2i−2i−i2−i2−i2−i2i2i2i2i200000000−2i2i22−2−2i2i2−i2−i2000000000000
χ32222-2-2-22-2-202-20002−2−2−2−22222-2-22200−2−2220000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2000000002i−2i22−2−2−i2−i2i2i2000000000000
χ3322-22-2-2-22-20-22000222−2−222−2−22i−2i2i−2i002−22−22i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i22-200000000i2−i2i2−i22−22−2000000000000
χ3422-22-2-2-22-20-22000222−2−222−2−22i−2i2i−2i002−22−2−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i2-2200000000i2−i2i2−i2−22−22000000000000
χ3522-22-2-2-22-20-22000222−2−222−2−2−2i2i−2i2i002−22−22i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i2-2200000000−i2i2−i2i2−22−22000000000000
χ3622-22-2-2-22-20-22000222−2−222−2−2−2i2i−2i2i002−22−2−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i22-200000000−i2i2−i2i22−22−2000000000000
χ3722-22-2-2-22-20-220002−2−222−2−2222i−2i2i−2i00−22−222i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i22-200000000−i2i2−i2i2−22−22000000000000
χ3822-22-2-2-22-20-220002−2−222−2−2222i−2i2i−2i00−22−22−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i2-2200000000−i2i2−i2i22−22−2000000000000
χ3922-22-2-2-22-20-220002−2−222−2−222−2i2i−2i2i00−22−222i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i2-2200000000i2−i2i2−i22−22−2000000000000
χ4022-22-2-2-22-20-220002−2−222−2−222−2i2i−2i2i00−22−22−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i22-200000000i2−i2i2−i2−22−22000000000000
χ4122-2-222-2-222-2-2-22-22000000002i−2i−2i2i-2200000000000022-2-2-2-222002i−2i0000000000−2i2i2i−2i000000000000
χ4222-2-222-2-222-2-2-22-22000000002i−2i−2i2i-22000000000000-2-22222-2-2002i−2i00000000002i−2i−2i2i000000000000
χ4322-2-222-2-222-2-2-22-2200000000−2i2i2i−2i-2200000000000022-2-2-2-22200−2i2i00000000002i−2i−2i2i000000000000
χ4422-2-222-2-222-2-2-22-2200000000−2i2i2i−2i-22000000000000-2-22222-2-200−2i2i0000000000−2i2i2i−2i000000000000
χ4522-2-222-2-22-2-2-22-22222-2-2-2-2222i−2i−2i2i2-22-2-22000000000000000000−2i2i0000002i−2i−2i2i0000000000000000
χ4622-2-222-2-22-2-2-22-22222-2-2-2-222−2i2i2i−2i2-22-2-220000000000000000002i−2i000000−2i2i2i−2i0000000000000000
χ4722-2-222-2-22-2-2-22-222-2-22222-2-22i−2i−2i2i2-2-222-2000000000000000000−2i2i000000−2i2i2i−2i0000000000000000
χ4822-2-222-2-22-2-2-22-222-2-22222-2-2−2i2i2i−2i2-2-222-20000000000000000002i−2i0000002i−2i−2i2i0000000000000000
χ4922-2-222-2-2-2-2222-22-222-2-2-2-2220000-22-222-20000000000000000000000000000000000002i−2i2i−2i000000
χ5022-2-222-2-2-2-2222-22-222-2-2-2-2220000-22-222-2000000000000000000000000000000000000−2i2i−2i2i000000
χ5122-2-222-2-2-2-2222-22-2-2-22222-2-20000-222-2-220000000000000000000000000000000000002i−2i−2i2i000000
χ5222-2-222-2-2-2-2222-22-2-2-22222-2-20000-222-2-22000000000000000000000000000000000000−2i2i2i−2i000000
χ532-222-22-2-20-200-22202-22-22-22-200000000002−22−22−22−22−22−22−22−200002i−2i2i−2i0000000000000000i2−i2i2−i200
χ542-222-22-2-20-200-22202-22-22-22-200000000002−22−22−22−22−22−22−22−20000−2i2i−2i2i0000000000000000−i2i2−i2i200
χ552-222-22-2-20-200-22202-22-22-22-20000000000−22−22−22−22−22−22−22−2200002i−2i2i−2i0000000000000000−i2i2−i2i200
χ562-222-22-2-20-200-22202-22-22-22-20000000000−22−22−22−22−22−22−22−220000−2i2i−2i2i0000000000000000i2−i2i2−i200
χ572-222-22-2-20-200-2220-22-22-22-2200000000002−22−22−22−2−22−22−22−2200002i−2i−2i2i0000000000000000i2−i2−i2i200
χ582-222-22-2-20-200-2220-22-22-22-2200000000002−22−22−22−2−22−22−22−220000−2i2i2i−2i0000000000000000−i2i2i2−i200
χ592-222-22-2-20-200-2220-22-22-22-220000000000−22−22−22−222−22−22−22−200002i−2i−2i2i0000000000000000−i2i2i2−i200
χ602-222-22-2-20-200-2220-22-22-22-220000000000−22−22−22−222−22−22−22−20000−2i2i2i−2i0000000000000000i2−i2−i2i200
χ6144444444-4-4-4-4-4-4-4-40000000000004400000000000000000000000000000000000000000000000000
χ62444-4-4-44-440-44000-422222222−22−22−22−22000000−22−2222220000000000000000000000000000000000000000000000
χ63444-4-4-44-440-44000-4−22−22−22−22222222220000002222−22−220000000000000000000000000000000000000000000000
χ6444-44-4-4-44404-4000-42222−22−222222−22−22000000−2222−22220000000000000000000000000000000000000000000000
χ6544-44-4-4-44404-4000-4−22−222222−22−22222200000022−2222−220000000000000000000000000000000000000000000000
χ6644-4-444-4-4-4444-44-4-40000000000004-400000000000000000000000000000000000000000000000000
χ674-444-44-4-404004-4-4000000000000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ684-444-44-4-404004-4-40000000000000000000−2222−222222−2222−2200000000000000000000000000000000000000
χ694-44-44-4-440000000022−2222−22−2222−2222000000000000002i2−2i2−2i22i22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ704-44-44-4-440000000022−2222−22−2222−222200000000000000−2i22i22i2−2i2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ714-44-44-4-4400000000−2222−222222−2222−22000000000000002i2−2i2−2i22i2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ724-44-44-4-4400000000−2222−222222−2222−2200000000000000−2i22i22i2−2i22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ734-4-444-44-40000000022−22−222222−22−222200000000002i2−2i2−2i22i200002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ744-4-444-44-40000000022−22−222222−22−22220000000000−2i22i22i2−2i20000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ754-4-444-44-400000000−222222−22−222222−2200000000002i2−2i2−2i22i20000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ764-4-444-44-400000000−222222−22−222222−220000000000−2i22i22i2−2i200002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ774-4-4-4-44440400-4-4404-4-44-444-400000000000000000000000000000000000000000000000000000000
χ784-4-4-4-44440400-4-440-444-44-4-4400000000000000000000000000000000000000000000000000000000
χ794-4-4-4-44440-40044-400000000000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ804-4-4-4-44440-40044-4000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000

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