Finite Group Databasebeta

← Group #491063

Character table — Group #491063

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444444444888888888888161616161616161616161616161632323232
order1222444488882444488888888888888888824448816161616161616164444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ9111111111111-1-1-1-111111-1-1-1-11-1111111-1-11-1-11-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-111111-1-1-1-11-1111111-1-11-1-11-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-111-1-1-111-11111-1-111-1-1-11-11
χ12111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-111-1-1-111-111-1-111-1-1111-11-1
χ13111111111111-1-1-1-1111-1-111-1-1-111111-1-111-111-1-1-111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1111-1-111-1-1-111111-1-111-111-1-1-1-1-11111-1-1-111-1
χ15111111111111-1-1-1-1111-1-111-1-1-11-1-1-1-1-1-1111-1-111111-1-1-1-111-111-1
χ16111111111111-1-1-1-1111-1-111-1-1-11-1-1-1-1-1-1111-1-1111-1-11111-1-11-1-11
χ1722222222-2-2-2-222222-2-22222-2-2220000-2-2-2-2000000000000000000
χ1822222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-200002222000000000000000000
χ1922222222-2-2-2-2-2-2-2-22-2-222-2-2222-20000-2-222000000000000000000
χ2022222222-2-2-2-2-2-2-2-22-2-2-2-22222-22000022-2-2000000000000000000
χ21222222-2-2222222-2-2-2-2-200002-2000000000022-2-200000000000000
χ22222222-2-2222222-2-2-2-2-200002-20000000000-2-22200000000000000
χ23222222-2-22222-2-222-2-2-20000-2200000000002-22-200000000000000
χ24222222-2-22222-2-222-2-2-20000-220000000000-22-2200000000000000
χ25222222-2-2-2-2-2-222-2-2-2220000-22002i2i−2i−2i000000002i−2i000000000000
χ26222222-2-2-2-2-2-222-2-2-2220000-2200−2i−2i2i2i00000000−2i2i000000000000
χ27222222-2-2-2-2-2-2-2-222-22200002-2002i2i−2i−2i00000000−2i2i000000000000
χ28222222-2-2-2-2-2-2-2-222-22200002-200−2i−2i2i2i000000002i−2i000000000000
χ292222-2-22200002-2-22-20022-2-200-22000000000000002−22−22−22−20000
χ302222-2-22200002-2-22-20022-2-200-2200000000000000−22−22−22−220000
χ312222-2-22200002-2-22-200-2-222002-2000000000000002−22−2−22−220000
χ322222-2-22200002-2-22-200-2-222002-200000000000000−22−222−22−20000
χ332222-2-2220000-222-2-200222200-2-2000000000000002−2−222−2−220000
χ342222-2-2220000-222-2-200222200-2-200000000000000−222−2−222−20000
χ352222-2-2220000-222-2-200-2-2-2-20022000000000000002−2−22−222−20000
χ362222-2-2220000-222-2-200-2-2-2-2002200000000000000−222−22−2−220000
χ374444-4-4-4-400004-44-44000000000000000000000000000000000000
χ384444-4-4-4-40000-44-444000000000000000000000000000000000000
χ3944-4-44-40044-4-400000000000000022−2222−220000000000000000000000
χ4044-4-44-40044-4-4000000000000000−2222−22220000000000000000000000
χ4144-4-44-400-4-4440000000000000002i2−2i2−2i22i20000000000000000000000
χ4244-4-44-400-4-444000000000000000−2i22i22i2−2i20000000000000000000000
χ434-4-44004-422−2222−220000022−22004i−4i00000000002i2−2i2000000000000000000
χ444-4-44004-422−2222−220000022−2200−4i4i0000000000−2i22i2000000000000000000
χ454-4-44004-4−2222−222200000−2222004i−4i0000000000−2i22i2000000000000000000
χ464-4-44004-4−2222−222200000−222200−4i4i00000000002i2−2i2000000000000000000
χ474-4-4400-4422−2222−2200000−22224i−4i00000000002i2−2i200000000000000000000
χ484-4-4400-4422−2222−2200000−2222−4i4i0000000000−2i22i200000000000000000000
χ494-4-4400-44−2222−22220000022−224i−4i0000000000−2i22i200000000000000000000
χ504-4-4400-44−2222−22220000022−22−4i4i00000000002i2−2i200000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-88-8000042−42−424200000000000000000000000000000000000000000
χ538-88-80000−424242−4200000000000000000000000000000000000000000

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