Finite Group Databasebeta

← Group #308100

Character table — Group #308100

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-111-1-1-1-1-111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1-111-1
χ911111111111111111-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111
χ1111111111111111111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-1-111111-1-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1111111-1-1-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-11111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111111-1-111-1-11-1-1-1-11
χ172222222222-22-2-2-22-200002222-22222000022-2-20000000000-2-200000000-2000000000000
χ182222222222-22-2-2-22-200002222-2-2-2-2-20000-2-2-2-2000000000022000000002000000000000
χ192222222222-22-2-2-22-20000-2-2-2-2-222220000-2-2220000000000-2-2000000002000000000000
χ202222222222-22-2-2-22-20000-2-2-2-2-2-2-2-2-20000222200000000002200000000-2000000000000
χ2122222222-2-22-2222-2-222220000-200002222000022-2-20000-2-200000000000000000-200000
χ2222222222-2-22-2222-2-222220000-20000-2-2-2-20000-2-2-2-200002200000000000000000200000
χ2322222222-2-22-2222-2-2-2-2-2-20000-2000022220000-2-2220000-2-200000000000000000200000
χ2422222222-2-22-2222-2-2-2-2-2-20000-20000-2-2-2-20000222200002200000000000000000-200000
χ25222-22-2-2-22-202000-20000022-2-2022-2-222−2−22-200000022−2−22−200000022−2−2000000002−2000
χ26222-22-2-2-22-202000-20000022-2-2022-2-2−2−2222-2000000−2−222−22000000−2−22200000000−22000
χ27222-22-2-2-22-202000-20000022-2-20-2-22222−2−2-2200000022−2−22−2000000−2−22200000000−22000
χ28222-22-2-2-22-202000-20000022-2-20-2-222−2−222-22000000−2−222−2200000022−2−2000000002−2000
χ29222-22-2-2-22-202000-200000-2-222022-2-222−2−2-22000000−2−2222−200000022−2−200000000−22000
χ30222-22-2-2-22-202000-200000-2-222022-2-2−2−222-2200000022−2−2−22000000−2−222000000002−2000
χ31222-22-2-2-22-202000-200000-2-2220-2-22222−2−22-2000000−2−2222−2000000−2−222000000002−2000
χ32222-22-2-2-22-202000-200000-2-2220-2-222−2−2222-200000022−2−2−2200000022−2−200000000−22000
χ3322-2-2-2-22200202-2-2002i2i−2i−2i000002−22−22-22-200002i−2i000000002−2i2i2−i2−i22−22−20000000000i2−i20
χ3422-2-2-2-22200202-2-2002i2i−2i−2i000002−22−2-22-220000−2i2i000000002−2i2i2−i2−i2−22−220000000000−i2i20
χ3522-2-2-2-22200202-2-2002i2i−2i−2i00000−22−222-22-200002i−2i00000000−22−i2−i2i2i2−22−220000000000−i2i20
χ3622-2-2-2-22200202-2-2002i2i−2i−2i00000−22−22-22-220000−2i2i00000000−22−i2−i2i2i22−22−20000000000i2−i20
χ3722-2-2-2-22200202-2-200−2i−2i2i2i000002−22−22-22-20000−2i2i000000002−2−i2−i2i2i22−22−20000000000−i2i20
χ3822-2-2-2-22200202-2-200−2i−2i2i2i000002−22−2-22-2200002i−2i000000002−2−i2−i2i2i2−22−220000000000i2−i20
χ3922-2-2-2-22200202-2-200−2i−2i2i2i00000−22−222-22-20000−2i2i00000000−22i2i2−i2−i2−22−220000000000i2−i20
χ4022-2-2-2-22200202-2-200−2i−2i2i2i00000−22−22-22-2200002i−2i00000000−22i2i2−i2−i22−22−20000000000−i2i20
χ412-222-2-22-2222-2-22-2-222-22-20000-2000000000000002-22-22-200000000000002-20000000000
χ422-222-2-22-2222-2-22-2-222-22-20000-2000000000000002-2-22-220000000000000-220000000000
χ432-222-2-22-2222-2-22-2-22-22-220000-200000000000000-222-22-20000000000000-220000000000
χ442-222-2-22-2222-2-22-2-22-22-220000-200000000000000-22-22-2200000000000002-20000000000
χ452-222-2-22-2-2-222-22-22-22-22-22i−2i2i−2i200000000002i−2i00-2200000000000000000002i−2i00000000
χ462-222-2-22-2-2-222-22-22-22-22-2−2i2i−2i2i20000000000−2i2i00-220000000000000000000−2i2i00000000
χ472-222-2-22-2-2-222-22-22-2-22-222i−2i2i−2i200000000002i−2i002-20000000000000000000−2i2i00000000
χ482-222-2-22-2-2-222-22-22-2-22-22−2i2i−2i2i20000000000−2i2i002-200000000000000000002i−2i00000000
χ492-222-2-22-2-2-2-222-222200002i−2i2i−2i-20000000000−2i2i0000000000002-22-20000000002i−2i000000
χ502-222-2-22-2-2-2-222-222200002i−2i2i−2i-20000000000−2i2i000000000000-22-22000000000−2i2i000000
χ512-222-2-22-2-2-2-222-22220000−2i2i−2i2i-200000000002i−2i0000000000002-22-2000000000−2i2i000000
χ522-222-2-22-2-2-2-222-22220000−2i2i−2i2i-200000000002i−2i000000000000-22-220000000002i−2i000000
χ5344444444-4-4-4-4-4-4-4-44000000004000000000000000000000000000000000000000000000
χ54444-44-4-4-4-440-40004000000000000002222−22−22000000000000−222200000000000000000000000
χ55444-44-4-4-4-440-4000400000000000000−22−22222200000000000022−2200000000000000000000000
χ5644-44-44-4-400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ5744-44-44-4-400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ5844-44-44-4-4000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ5944-44-44-4-4000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ6044-4-4-4-44400-40-4440000000000022−2222−22000000000000000000−2222000000000000000000000
χ6144-4-4-4-44400-40-44400000000000−2222−222200000000000000000022−22000000000000000000000
χ624-444-4-44-444-4-44-44-4-4000000004000000000000000000000000000000000000000000000
χ634-44-4-44-444-40-400040000000000000000000000000022−22−22220000000000000000000000000
χ644-44-4-44-444-40-4000400000000000000000000000000−222222−220000000000000000000000000
χ654-44-4-44-44-4404000-4000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ664-44-4-44-44-4404000-400000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ674-4-4-4444-40040-4-44004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ684-4-4-4444-40040-4-4400−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ694-4-4-4444-400-4044-4000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ704-4-4-4444-400-4044-400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ718-8-888-8-88000000000000000000000000000000000000000000000000000000000000000

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