Finite Group Databasebeta

← Group #246128

Character table — Group #246128

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222224444442222222244444444422244444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-11-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111-11-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-11-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11-1-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111
χ9111111111111-1-1-1-11-1-11111111-1-1-1-111-1-111-111-1-1-111-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111-111-1111-1-1-1-111-1-111
χ11111111111111-1-1-1-11-1-11111111-1-1-1-1-1-11111-1111-11-1-1-1-11-1-111-1-11111-1-1
χ12111111111111-1-1-1-11-1-11111111-1-1-1-1-1-111-1-1-1-1-111-11-111-1-1-11111-1-1-1-111
χ13111111111111-1-1-1-11-1-1111-1-1-1-1111111-1-111-111-1-1-111-11-1-1-111-1-111-1-111
χ14111111111111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-11-1-11111-1-111-1-1
χ15111111111111-1-1-1-11-1-1111-1-1-1-11111-1-11111-1111-11-1-1-1-1111-1-111-1-1-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1-1-1-111-11-111-111-1-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-20000000022-2-200-2002000-2000000000000000
χ182222222222222222-2-2-2-2-2-200000000-2-22200-200-20002000000000000000
χ19222222222222-2-2-2-2-222-2-2-200000000222200200-2000-2000000000000000
χ20222222222222-2-2-2-2-222-2-2-200000000-2-2-2-20020020002000000000000000
χ2122222222-2-2-2-222-2-2222-2-2200000000000022-2-2-20-2000200000000000000
χ2222222222-2-2-2-222-2-2222-2-22000000000000-2-2-22202000-200000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-200000000000000200002200-2-2000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-20000000000000020000-2-20022000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-22000000000000222-2-202000-200000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-22000000000000-2-22220-2000200000000000000
χ2722222222-2-2-2-2-2-222-22222-200000000000000-200002-2002-2000000000000
χ2822222222-2-2-2-2-2-222-22222-200000000000000-20000-2200-22000000000000
χ292-2-2-222-222-22-20000-2002-22000022-2-200002-202-20000000000000000002-2
χ302-2-2-222-222-22-20000-2002-22000022-2-20000-220-22000000000000000000-22
χ312-2-2-222-222-22-20000-2002-220000-2-22200002-202-2000000000000000000-22
χ322-2-2-222-222-22-20000-2002-220000-2-2220000-220-220000000000000000002-2
χ332-2-2-222-22-22-220000-200-22222-2-2000000002-20-2200000000000000002-200
χ342-2-2-222-22-22-220000-200-22222-2-200000000-2202-20000000000000000-2200
χ352-2-2-222-22-22-220000-200-222-2-222000000002-20-220000000000000000-2200
χ362-2-2-222-22-22-220000-200-222-2-22200000000-2202-200000000000000002-200
χ37444-44-4-4-444-4-4000000000000000000004i−4i0000000000000000000000000
χ38444-44-4-4-444-4-400000000000000000000−4i4i0000000000000000000000000
χ39444-44-4-4-4-4-4440000000000000000004-4000000000000000000000000000
χ40444-44-4-4-4-4-444000000000000000000-44000000000000000000000000000
χ4144-4-4-4-4440000000004-40002-22-22-22-200000000000000000000000000000
χ4244-4-4-4-4440000000004-4000-22-22-22-2200000000000000000000000000000
χ4344-4-4-4-444000000000-440002-22-2-22-2200000000000000000000000000000
χ4444-4-4-4-444000000000-44000-22-222-22-200000000000000000000000000000
χ454-444-4-4-4400004-4000000002-2-222-2-2200000000000000000000000000000
χ464-444-4-4-4400004-400000000-222-2-222-200000000000000000000000000000
χ474-444-4-4-440000-44000000002-2-22-222-200000000000000000000000000000
χ484-444-4-4-440000-4400000000-222-22-2-2200000000000000000000000000000
χ494-44-4-444-40000004-400000000000000000000000000000002-22-200000000
χ504-44-4-444-40000004-40000000000000000000000000000000-22-2200000000
χ514-44-4-444-4000000-4400000000000000000000000000000002-2-2200000000
χ524-44-4-444-4000000-440000000000000000000000000000000-222-200000000
χ534-4-444-44-44-4-4400000000000000000000000000000000000000022−22000000
χ544-4-444-44-44-4-44000000000000000000000000000000000000000−2222000000
χ554-4-444-44-4-444-40000000000000000000000000000000000000000022−220000
χ564-4-444-44-4-444-400000000000000000000000000000000000000000−22220000
χ574-4-4-444-444-44-40000400-44-40000000000000000000000000000000000000
χ584-4-4-444-44-44-4400004004-4-40000000000000000000000000000000000000
χ5988-88-88-8-8000000000000000000000000000000000000000000000000000

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