Finite Group Databasebeta

← Group #145513

Character table — Group #145513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222224444444444444444444444444416161616161616163232323232323232
order1222444444888824444444444488888888888888161616161616161644448888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ511111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1
χ92222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000
χ102222222222-2-2-2-2222-2-2-2-2-2-2-2-22-2-2-2-2-2-2222222220000000000000000
χ11222222-2-2220000-2-2-20000000020000002222-2-2-2-222−2−222−2−200000000
χ12222222-2-2220000-2-2-20000000020000002222-2-2-2-2−2−222−2−22200000000
χ13222222-2-2220000-2-2-2000000002000000-2-2-2-2222222−2−2−2−22200000000
χ14222222-2-2220000-2-2-2000000002000000-2-2-2-22222−2−22222−2−200000000
χ1522222-2222-22222-22-200000000-222-2-2-2-20000000000000000020-20000
χ1622222-2222-22222-22-200000000-222-2-2-2-200000000000000000-2020000
χ1722222-2222-2-2-2-2-2-22-200000000-2-2-2222200000000000000000000002i−2i
χ1822222-2222-2-2-2-2-2-22-200000000-2-2-222220000000000000000000000−2i2i
χ192222-2222-222222-2-2200000000-2-2-222-2-2000000000000000020-200000
χ202222-2222-222222-2-2200000000-2-2-222-2-20000000000000000-20200000
χ212222-2222-22-2-2-2-2-2-2200000000-222-2-222000000000000000000002i−2i00
χ222222-2222-22-2-2-2-2-2-2200000000-222-2-22200000000000000000000−2i2i00
χ232222-2-222-2-222222-2-2000000002-2-2-2-222000000002-22-2000000000000
χ242222-2-222-2-222222-2-2000000002-2-2-2-22200000000-22-22000000000000
χ252222-2-222-2-2-2-2-2-22-2-20000000022222-2-20000000000002i−2i2i−2i00000000
χ262222-2-222-2-2-2-2-2-22-2-20000000022222-2-2000000000000−2i2i−2i2i00000000
χ272222-2-2-2-2-2-20000-2222i2i2i2i−2i−2i−2i−2i2000000000000002−2−22i2−i2−i2i200000000
χ282222-2-2-2-2-2-20000-2222i2i2i2i−2i−2i−2i−2i200000000000000−222−2−i2i2i2−i200000000
χ292222-2-2-2-2-2-20000-222−2i−2i−2i−2i2i2i2i2i2000000000000002−2−22−i2i2i2−i200000000
χ302222-2-2-2-2-2-20000-222−2i−2i−2i−2i2i2i2i2i200000000000000−222−2i2−i2−i2i200000000
χ3144444-4-4-44-400004-4400000000-4000000000000000000000000000000
χ324444-44-4-4-44000044-400000000-4000000000000000000000000000000
χ3344-4-404000-422−2222−2200022-2-222-2-200022−220000002222−22−220000000000000000
χ3444-4-404000-422−2222−22000-2-222-2-22200022−22000000−22−2222220000000000000000
χ3544-4-404000-4−2222−222200022-2-222-2-2000−2222000000−22−2222220000000000000000
χ3644-4-404000-4−2222−2222000-2-222-2-222000−22220000002222−22−220000000000000000
χ3744-4-40-4000422−2222−220002i2i−2i−2i−2i−2i2i2i000−2222002i22i2−2i2−2i200000000000000000000
χ3844-4-40-4000422−2222−22000−2i−2i2i2i2i2i−2i−2i000−222200−2i2−2i22i22i200000000000000000000
χ3944-4-40-40004−2222−22220002i2i−2i−2i−2i−2i2i2i00022−2200−2i2−2i22i22i200000000000000000000
χ4044-4-40-40004−2222−2222000−2i−2i2i2i2i2i−2i−2i00022−22002i22i2−2i2−2i200000000000000000000
χ414-44-44000-4022−22−22220002-22-22-22-2022−220000000022−2222−220000000000000000
χ424-44-44000-4022−22−2222000-22-22-22-22022−2200000000−2222−22220000000000000000
χ434-44-44000-40−222222−220002-22-22-22-20−222200000000−2222−22220000000000000000
χ444-44-44000-40−222222−22000-22-22-22-220−22220000000022−2222−220000000000000000
χ454-44-4-40004022−22−22220002i−2i2i−2i−2i2i−2i2i0−222200002i2−2i22i2−2i200000000000000000000
χ464-44-4-40004022−22−2222000−2i2i−2i2i2i−2i2i−2i0−22220000−2i22i2−2i22i200000000000000000000
χ474-44-4-400040−222222−220002i−2i2i−2i−2i2i−2i2i022−220000−2i22i2−2i22i200000000000000000000
χ484-44-4-400040−222222−22000−2i2i−2i2i2i−2i2i−2i022−2200002i2−2i22i2−2i200000000000000000000
χ494-4-44004-40000000002i−2i−2i2i−2i2i2i−2i000004i−4i2-2-22-222-20000000000000000
χ504-4-44004-40000000002i−2i−2i2i−2i2i2i−2i00000−4i4i-222-22-2-220000000000000000
χ514-4-44004-4000000000−2i2i2i−2i2i−2i−2i2i000004i−4i-222-22-2-220000000000000000
χ524-4-44004-4000000000−2i2i2i−2i2i−2i−2i2i00000−4i4i2-2-22-222-20000000000000000
χ534-4-4400-440044-4-40002-2-222-2-2200000002-2-222-2-220000000000000000
χ544-4-4400-440044-4-4000-222-2-222-20000000-222-2-222-20000000000000000
χ554-4-4400-4400-4-4440002-2-222-2-220000000-222-2-222-20000000000000000
χ564-4-4400-4400-4-444000-222-2-222-200000002-2-222-2-220000000000000000

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