Finite Group Databasebeta

← Group #349732

Character table — Group #349732

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ411111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-1-1-11111-1-1-1-11-1-11-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ121111111111111111-1-1-1-11111-1-1-1-11-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ131111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11111-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ141111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-2-222-222-2-222222222-222-200-2-200000000-2-2-2000000000000000000000000
χ182222222222-2-2-222-222-2-2-2-2-2-2-2-2-2-2-222-2002200000000-222000000000000000000000000
χ192222222222-2-2-222-2-2-2222222-2-2-2-2-2-2-2-200-2-200000000222000000000000000000000000
χ202222222222-2-2-222-2-2-222-2-2-2-22222-2-2-2-20022000000002-2-2000000000000000000000000
χ2122222222-2-2222-2-2222-2-200000000-2-2-2-22200-2-2220000200-2-20000000000000000000000
χ2222222222-2-2222-2-2222-2-200000000-2-2-2-2-2-20022-2-20000200220000000000000000000000
χ2322222222-2-2222-2-22-2-22200000000-222-2220022-2-20000-200-2-20000000000000000000000
χ2422222222-2-2222-2-22-2-22200000000-222-2-2-200-2-2220000-200220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222000000002-2-220000000022-2-2-2000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222000000002-2-2200000000-2-222-20000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000022-2-220000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000-2-2222000022-2-2000000000000000000
χ29222-2-2-2-222-20002-202i−2i0022-2-22i2i−2i−2i02i−2i0000000000000000000000i2i2−i2−i222−2−20000i2−i22−200
χ30222-2-2-2-222-20002-202i−2i0022-2-22i2i−2i−2i02i−2i0000000000000000000000−i2−i2i2i2−2−2220000−i2i2−2200
χ31222-2-2-2-222-20002-202i−2i00-2-222−2i−2i2i2i02i−2i0000000000000000000000i2i2−i2−i222−2−20000−i2i2−2200
χ32222-2-2-2-222-20002-202i−2i00-2-222−2i−2i2i2i02i−2i0000000000000000000000−i2−i2i2i2−2−2220000i2−i22−200
χ33222-2-2-2-222-20002-20−2i2i0022-2-2−2i−2i2i2i0−2i2i0000000000000000000000i2i2−i2−i2−2−2220000i2−i2−2200
χ34222-2-2-2-222-20002-20−2i2i0022-2-2−2i−2i2i2i0−2i2i0000000000000000000000−i2−i2i2i222−2−20000−i2i22−200
χ35222-2-2-2-222-20002-20−2i2i00-2-2222i2i−2i−2i0−2i2i0000000000000000000000i2i2−i2−i2−2−2220000−i2i22−200
χ36222-2-2-2-222-20002-20−2i2i00-2-2222i2i−2i−2i0−2i2i0000000000000000000000−i2−i2i2i222−2−20000i2−i2−2200
χ3722-2-22-22-22222-2-2-2-200002-22-20000200-2002-22-22-22-22-2000000000000000000000000000
χ3822-2-22-22-22222-2-2-2-200002-22-20000200-2002-2-22-22-22-22000000000000000000000000000
χ3922-2-22-22-22222-2-2-2-20000-22-220000200-200-222-22-2-22-22000000000000000000000000000
χ4022-2-22-22-22222-2-2-2-20000-22-220000200-200-22-22-222-22-2000000000000000000000000000
χ4122-2-22-22-222-2-22-2-2200002-22-20000-20022i−2i-22000000000002i−2i2i−2i2i−2i000000000000000000
χ4222-2-22-22-222-2-22-2-2200002-22-20000-2002−2i2i-2200000000000−2i2i−2i2i−2i2i000000000000000000
χ4322-2-22-22-222-2-22-2-220000-22-220000-20022i−2i2-2000000000002i−2i−2i2i−2i2i000000000000000000
χ4422-2-22-22-222-2-22-2-220000-22-220000-2002−2i2i2-200000000000−2i2i2i−2i2i−2i000000000000000000
χ4522-2-22-22-2-2-222-222-2000000002i−2i2i−2i-200200002-2-22000002i−2i002i−2i−2i2i000000000000000000
χ4622-2-22-22-2-2-222-222-2000000002i−2i2i−2i-20020000-222-2000002i−2i00−2i2i2i−2i000000000000000000
χ4722-2-22-22-2-2-222-222-200000000−2i2i−2i2i-200200002-2-2200000−2i2i00−2i2i2i−2i000000000000000000
χ4822-2-22-22-2-2-222-222-200000000−2i2i−2i2i-20020000-222-200000−2i2i002i−2i−2i2i000000000000000000
χ4922-2-22-22-2-2-2-2-22222000000002i−2i2i−2i200-22i−2i000000-222-20−2i2i−2i2i0000000000000000000000
χ5022-2-22-22-2-2-2-2-22222000000002i−2i2i−2i200-2−2i2i0000002-2-220−2i2i2i−2i0000000000000000000000
χ5122-2-22-22-2-2-2-2-2222200000000−2i2i−2i2i200-22i−2i0000002-2-2202i−2i−2i2i0000000000000000000000
χ5222-2-22-22-2-2-2-2-2222200000000−2i2i−2i2i200-2−2i2i000000-222-202i−2i2i−2i0000000000000000000000
χ53444-4-4-4-44-44000-4404i−4i00000000000−4i4i0000000000000000000000000000000000000000
χ54444-4-4-4-44-44000-440−4i4i000000000004i−4i0000000000000000000000000000000000000000
χ5544-44-44-4-44-4000-44000004-4-4400000000000000000000000000000000000000000000000
χ5644-44-44-4-44-4000-4400000-444-400000000000000000000000000000000000000000000000
χ5744-44-44-4-4-440004-40000000004-4-440000000000000000000000000000000000000000000
χ5844-44-44-4-4-440004-4000000000-444-40000000000000000000000000000000000000000000
χ594-4444-4-4-400000000004-40000000000000000000000000000000002-22-22-22-20000000000
χ604-4444-4-4-400000000004-4000000000000000000000000000000000-22-22-22-220000000000
χ614-4444-4-4-40000000000-440000000000000000000000000000000002-22-2-22-220000000000
χ624-4444-4-4-40000000000-44000000000000000000000000000000000-22-222-22-20000000000
χ634-44-4-444-4004-4400-40000000000000000000000000000000000000000022−22−22220000000000
χ644-44-4-444-4004-4400-400000000000000000000000000000000000000000−222222−220000000000
χ654-44-4-444-400-44-400400000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ664-44-4-444-400-44-40040000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ674-4-44-4-444004-4-400400000000000000000000000000000000000000000000022−2200000000
χ684-4-44-4-444004-4-4004000000000000000000000000000000000000000000000−222200000000
χ694-4-44-4-44400-44400-4000000000000000000000000000000000000000000000002i2−2i2000000
χ704-4-44-4-44400-44400-400000000000000000000000000000000000000000000000−2i22i2000000
χ718-8-8-888-88000000000000000000000000000000000000000000000000000000000000000

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