Finite Group Databasebeta

← Group #277880

Character table — Group #277880

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882244444888824888888888888888882488888888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111-1-111-1-111111-1-1111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-111-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-111-1-111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ81111111111111111-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-111-1-111-11-1-111-1-1-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-111-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11-1-111111-1
χ13111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-11-1-1-11111-11
χ14111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1111-1-1111-1
χ15111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1111-1-1-111-1-11-1
χ16111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-1-11
χ172222222-2-2222222200-2-200-2-2-22200-20000222200000000000000-2-200000000
χ182222222-2-2222222200-2-200-2-2-22200-20000-2-2-2-2000000000000002200000000
χ192222222-2-2222-2-2-2-200-2-200-222-2-2002000022-2-200000000000000-2200000000
χ202222222-2-2222-2-2-2-200-2-200-222-2-20020000-2-222000000000000002-200000000
χ21222222-222-2-2-2000022-22-2-2-200002-200000000000002i2i−2i−2i0000000000002i−2i00
χ22222222-222-2-2-2000022-22-2-2-200002-20000000000000−2i−2i2i2i000000000000−2i2i00
χ23222222-222-2-2-20000-2-2-2222-20000-2200000000000002i2i−2i−2i000000000000−2i2i00
χ24222222-222-2-2-20000-2-2-2222-20000-220000000000000−2i−2i2i2i0000000000002i−2i00
χ252222-2-2222-2-22222222-2-2-2-2222-2-2-22-20000000022-2-200000000000000000000
χ262222-2-2222-2-222222-2-2-2-222222-2-22-2-200000000-2-22200000000000000000000
χ272222-2-2222-2-22-2-2-2-222-2-2-2-22-2-222-22200000000-2-22200000000000000000000
χ282222-2-2222-2-22-2-2-2-2-2-2-2-2222-2-2222-220000000022-2-200000000000000000000
χ292222-2-22-2-2-2-222222002200-2-2-2-2-20020000000000000000000000002i−2i2i−2i0000
χ302222-2-22-2-2-2-222222002200-2-2-2-2-2002000000000000000000000000−2i2i−2i2i0000
χ312222-2-22-2-2-2-22-2-2-2-2002200-2222200-20000000000000000000000002i−2i−2i2i0000
χ322222-2-22-2-2-2-22-2-2-2-2002200-2222200-2000000000000000000000000−2i2i2i−2i0000
χ332222-2-2-22222-20000222-222-20000-2-2022-2-20000000000002-200000000000000
χ342222-2-2-22222-20000222-222-20000-2-20-2-222000000000000-2200000000000000
χ352222-2-2-22222-20000-2-22-2-2-2-2000022022-2-2000000000000-2200000000000000
χ362222-2-2-22222-20000-2-22-2-2-2-20000220-2-2220000000000002-200000000000000
χ372-2-222-22002-2-22i2i−2i−2i0000000002i−2i0002−22−22i−2i2-20000i2−i2i2−i200i2−i22−20000000000
χ382-2-222-22002-2-22i2i−2i−2i0000000002i−2i0002−22−2−2i2i-220000i2−i2i2−i200−i2i2−220000000000
χ392-2-222-22002-2-22i2i−2i−2i0000000002i−2i000−22−222i−2i2-20000−i2i2−i2i200−i2i2−220000000000
χ402-2-222-22002-2-22i2i−2i−2i0000000002i−2i000−22−22−2i2i-220000−i2i2−i2i200i2−i22−20000000000
χ412-2-222-22002-2-2−2i−2i2i2i000000000−2i2i0002−22−22i−2i-220000−i2i2−i2i200i2−i2−220000000000
χ422-2-222-22002-2-2−2i−2i2i2i000000000−2i2i0002−22−2−2i2i2-20000−i2i2−i2i200−i2i22−20000000000
χ432-2-222-22002-2-2−2i−2i2i2i000000000−2i2i000−22−222i−2i-220000i2−i2i2−i200−i2i22−20000000000
χ442-2-222-22002-2-2−2i−2i2i2i000000000−2i2i000−22−22−2i2i2-20000i2−i2i2−i200i2−i2−220000000000
χ45444444-4-4-4-4-4-40000004-4004000000000000000000000000000000000000000
χ464444-4-4-4-4-444-4000000-44004000000000000000000000000000000000000000
χ474-44-40004-40002i2−2i22i2−2i200004i−4i02i2−2i200000000000000022−2200000000000000000000
χ484-44-40004-40002i2−2i22i2−2i20000−4i4i02i2−2i2000000000000000−222200000000000000000000
χ494-44-40004-4000−2i22i2−2i22i200004i−4i0−2i22i2000000000000000−222200000000000000000000
χ504-44-40004-4000−2i22i2−2i22i20000−4i4i0−2i22i200000000000000022−2200000000000000000000
χ514-44-4000-440002i2−2i22i2−2i24-400000−2i22i200000000000002i2−2i20000000000000000000000
χ524-44-4000-440002i2−2i22i2−2i2-4400000−2i22i20000000000000−2i22i20000000000000000000000
χ534-44-4000-44000−2i22i2−2i22i24-4000002i2−2i20000000000000−2i22i20000000000000000000000
χ544-44-4000-44000−2i22i2−2i22i2-44000002i2−2i200000000000002i2−2i20000000000000000000000
χ554-4-444-4-400-44400000000000000000000000000000022−22−22220000000000000000
χ564-4-444-4-400-444000000000000000000000000000000−222222−220000000000000000
χ574-4-44-44400-44-44i4i−4i−4i000000000−4i4i00000000000000000000000000000000000
χ584-4-44-44400-44-4−4i−4i4i4i0000000004i−4i00000000000000000000000000000000000
χ594-4-44-44-4004-4400000000000000000022−22−22220000000000000000000000000000
χ604-4-44-44-4004-44000000000000000000−222222−220000000000000000000000000000
χ6188-8-80000000042−42−42420000000000000000000000000000000000000000000000
χ6288-8-800000000−424242−420000000000000000000000000000000000000000000000

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