Finite Group Databasebeta

← Group #342797

Character table — Group #342797

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888222444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1111-1-1-1-1-1-1-11
χ31111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-11-1-11111-1-1-1-1
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-111-1-1-1-1-11
χ611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1111111
χ711111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1
χ9111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-111-1-11-1
χ10111111111111111111-1-11111-1-11111111111111-1-11-1-1-1-1-1-111-1-111-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-11-11111-1-1-1-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-11111-11
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1111-111-1-1-1-111-1-1
χ14111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1111111-1-11-1
χ15111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-11
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-111-111-1-1-1-1-1-1-1-1-1-111
χ17222222222-2-22-2-222-2-2220000220000-2-2220000000000-2-20000000000
χ18222222222-2-22-2-222-2-2220000-2-2000022-2-200000000002-20000000000
χ19222222222-2-22-2-222-2-2-2-2000022000022-2-20000000000-220000000000
χ20222222222-2-22-2-222-2-2-2-20000-2-20000-2-2220000000000220000000000
χ2122222222-222-222-2-2-2-20022220022-2-200000000-200-200000000000000
χ2222222222-222-222-2-2-2-20022-2-200-2-22200000000200-200000000000000
χ2322222222-222-222-2-2-2-200-2-22200-2-22200000000-200200000000000000
χ2422222222-222-222-2-2-2-200-2-2-2-20022-2-200000000200200000000000000
χ252-22-2-22-22222-2-2-22-22-200000000000000002i2i−2i−2i02-202i−2i000000000000
χ262-22-2-22-22222-2-2-22-22-200000000000000002i2i−2i−2i0-220−2i2i000000000000
χ272-22-2-22-22222-2-2-22-22-20000000000000000−2i−2i2i2i02-20−2i2i000000000000
χ282-22-2-22-22222-2-2-22-22-20000000000000000−2i−2i2i2i0-2202i−2i000000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-4-4-44-404-404-400000000000000000000000000000000002i2−2i2000000
χ31444-4-4-44-404-404-40000000000000000000000000000000000−2i22i2000000
χ32444-4-4-44-40-440-44000000004i−4i00000000000000000000000000000000
χ33444-4-4-44-40-440-4400000000−4i4i00000000000000000000000000000000
χ3444-44-44-4-400000000000000000022−2200002i2−2i22i−2i2i−2i000000000000000000
χ3544-44-44-4-400000000000000000022−220000−2i22i2−2i2i−2i2i000000000000000000
χ3644-44-44-4-4000000000000000000−222200002i2−2i2−2i2i−2i2i000000000000000000
χ3744-44-44-4-4000000000000000000−22220000−2i22i22i−2i2i−2i000000000000000000
χ3844-4-44-4-44400400-4-4004i−4i000000000000000000000000000000000000
χ3944-4-44-4-44400400-4-400−4i4i000000000000000000000000000000000000
χ4044-4-44-4-44-400-4004400000000000000000000000000000022−2200000000
χ4144-4-44-4-44-400-40044000000000000000000000000000000−222200000000
χ424-4444-4-4-404-40-440000004i−4i0000000000000000000000000000000000
χ434-4444-4-4-404-40-44000000−4i4i0000000000000000000000000000000000
χ444-4444-4-4-40-4404-4000000000000000000000000000000000000002i2−2i200
χ454-4444-4-4-40-4404-400000000000000000000000000000000000000−2i22i200
χ464-44-4-44-444-4-4-4444-4-4400000000000000000000000000000000000000
χ474-44-4-44-44-4444-4-4-44-4400000000000000000000000000000000000000
χ484-44-4-44-44-4-4-4444-444-400000000000000000000000000000000000000
χ494-4-44-4-444400-400-44000000000000000000000000000000000022−220000
χ504-4-44-4-444400-400-440000000000000000000000000000000000−22220000
χ514-4-44-4-444-4004004-4000000004-4000000000000000000000000000000
χ524-4-44-4-444-4004004-400000000-44000000000000000000000000000000
χ534-4-4-4444-40000000000000000000022−2222−22002-2-22000000000000000000
χ544-4-4-4444-40000000000000000000022−22−222200-222-2000000000000000000
χ554-4-4-4444-400000000000000000000−222222−2200-222-2000000000000000000
χ564-4-4-4444-400000000000000000000−2222−2222002-2-22000000000000000000

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