Finite Group Databasebeta

← Group #335237

Character table — Group #335237

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422448888888888884444444488888888244
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-11-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-111111-11-1-111-1-1-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111111111111-11-1-1-11-1-1-11111-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111-111
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1111-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1111-1-111-1-111-1
χ9111111111111111111-1-111111111111111-11-11-1-1-1111-1-1-1-111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-111-1-11-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-11-1-11-1-1-111-1-11111-1
χ13111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-11-1-11111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1111-111-1-11111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-11
χ17222222222-222-2-22-2-2-20022000022-2-20000020-2000-200000000000
χ18222222222-222-2-22-2-2-200220000-2-22200000-20-2000200000000000
χ19222222222-222-2-22-2-2-200-2-2000022-2-200000-202000200000000000
χ20222222222-222-2-22-2-2-200-2-20000-2-22200000202000-200000000000
χ2122222222-22-2-222-22-2-2220022-2-20000000020-2000-2000000000000
χ2222222222-22-2-222-22-2-22200-2-22200000000-20-20002000000000000
χ2322222222-22-2-222-22-2-2-2-20022-2-200000000-2020002000000000000
χ2422222222-22-2-222-22-2-2-2-200-2-22200000000202000-2000000000000
χ252-2-2-2222-2-2-22222-2-22-2000000000000000000002-20000002i−2i2i−2i000
χ262-2-2-2222-2-2-22222-2-22-2000000000000000000002-2000000−2i2i−2i2i000
χ272-2-2-2222-2-2-22222-2-22-200000000000000000000-220000002i−2i−2i2i000
χ282-2-2-2222-2-2-22222-2-22-200000000000000000000-22000000−2i2i2i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-44-4-4-404004-40-4000000000000002222−22−220000000000000000000
χ31444-44-4-4-404004-40-400000000000000−22−2222220000000000000000000
χ32444-44-4-4-40-400-4404000000004i−4i000000000000000000000000000
χ33444-44-4-4-40-400-440400000000−4i4i000000000000000000000000000
χ3444-44-44-4-4404-400-400000000000000000000000000022−22000000000
χ3544-44-44-4-4404-400-4000000000000000000000000000−2222000000000
χ3644-44-44-4-4-40-44004000004i−4i0000000000000000000000000000000
χ3744-44-44-4-4-40-4400400000−4i4i0000000000000000000000000000000
χ384-444-4-44-40000000000000022−2200002i2−2i22i−2i2i−2i0000000000000000000
χ394-444-4-44-40000000000000022−220000−2i22i2−2i2i−2i2i0000000000000000000
χ404-444-4-44-400000000000000−222200002i2−2i2−2i2i−2i2i0000000000000000000
χ414-444-4-44-400000000000000−22220000−2i22i22i−2i2i−2i0000000000000000000
χ424-44-4-44-4440-4400-40000000000000002i2−2i2−2i22i20000000000000000000
χ434-44-4-44-4440-4400-4000000000000000−2i22i22i2−2i20000000000000000000
χ444-44-4-44-44-404-4004000000000004-40000000000000000000000000
χ454-44-4-44-44-404-400400000000000-440000000000000000000000000
χ464-4-444-4-440400-440-400000000000000000000000000002i2−2i20000000
χ474-4-444-4-440400-440-40000000000000000000000000000−2i22i20000000
χ484-4-444-4-440-4004-404004-4000000000000000000000000000000000
χ494-4-444-4-440-4004-40400-44000000000000000000000000000000000
χ504-4-4-4444-444-4-4-4-4444-400000000000000000000000000000000000
χ514-4-4-4444-44-4-4-4444-4-4400000000000000000000000000000000000
χ524-4-4-4444-4-4444-4-4-44-4400000000000000000000000000000000000
χ5388-8-8-8-888000000000000000000000000000000000000000000000

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