Finite Group Databasebeta

← Group #271995

Character table — Group #271995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888888888816161616161616161616161616323232
order12222244444444422444444888888888888882222444488888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111111111-1-1-1-11-1-1-1-1-111-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1111
χ51111111111111111-11-11-11-11111111111-1-1-1-1-11-1-11-1-1-11-1-1-1-11-11
χ61111111111111111-11-11-11-111-1-1111111-1-1-1-1-1-111-1-111-111-1-1-11-1
χ71111111111111111-11-11-11-1-1-111-1-1-1-1-1-11111-11-1-11-1111-1-111-11-1
χ81111111111111111-11-11-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111111-11
χ9111111111111111-11-11-11-11111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11
χ10111111111111111-11-11-11-1111-1-111-1-1-1-11111-11111-1-1-1-1-1-1-1-111-1
χ11111111111111111-11-11-11-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ12111111111111111-11-11-11-11-1-1-1-1-1-11111-1-1-1-1-11111-111-1-1-111-1-11
χ13111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-11-1-11-1-111-111
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-111111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-111-11111-1-1-1-11-1-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-1-111
χ172222222-222-22-2-2-222-2-222-2-200000000000000-2000020000000000
χ182222222-222-22-2-2-22-2-222-2-220000000000000020000-20000000000
χ192222222-222-22-2-2-2-222-2-222-20000000000000020000-20000000000
χ202222222-222-22-2-2-2-2-222-2-22200000000000000-2000020000000000
χ212222-2-2222-22-2-2-22020-20-2022200-2-2000022-2-20000000000000000
χ222222-2-2222-22-2-2-22020-20-202-2-200220000-2-2220000000000000000
χ232222-2-2222-22-2-2-220-202020-22200-2-20000-2-2220000000000000000
χ242222-2-2222-22-2-2-220-202020-2-2-20022000022-2-20000000000000000
χ252222-2-22-22-2-2-222-202020-20-20000002i2i−2i−2i0000000000000002i−2i000
χ262222-2-22-22-2-2-222-202020-20-2000000−2i−2i2i2i000000000000000−2i2i000
χ272222-2-22-22-2-2-222-20-20-202020000002i2i−2i−2i000000000000000−2i2i000
χ282222-2-22-22-2-2-222-20-20-20202000000−2i−2i2i2i0000000000000002i−2i000
χ292222-2-2-22-22222-2-220-20-2020002200000000000200-2000-20000000
χ302222-2-2-22-22222-2-220-20-202000-2-200000000000-200200020000000
χ312222-2-2-22-22222-2-2-202020-20002200000000000-2002000-20000000
χ322222-2-2-22-22222-2-2-202020-2000-2-200000000000200-200020000000
χ332222-2-2-2-2-22-22-2222020-20-2000000000000000002-2000002-200000
χ342222-2-2-2-2-22-22-2222020-20-200000000000000000-2200000-2200000
χ352222-2-2-2-2-22-22-222-20-20202000000000000000002-200000-2200000
χ362222-2-2-2-2-22-22-222-20-2020200000000000000000-22000002-200000
χ37444444-44-4-44-4-44-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000000
χ394-44-44-440-4-404000000000002i2−2i2002i2−2i2000000000000000000000000
χ404-44-44-440-4-40400000000000−2i22i200−2i22i2000000000000000000000000
χ414-44-44-4-40440-4000000000000000002i2−2i22i2−2i200000000000000000000
χ424-44-44-4-40440-400000000000000000−2i22i2−2i22i200000000000000000000
χ434-44-4-4440-440-4000000000002i2−2i200−2i22i2000000000000000000000000
χ444-44-4-4440-440-400000000000−2i22i2002i2−2i2000000000000000000000000
χ454-44-4-44-404-4040000000000000000022−22−222200000000000000000000
χ464-44-4-44-404-40400000000000000000−222222−2200000000000000000000
χ474-4-44000-40040000000000000022−220000000022−220000002-200000000
χ484-4-44000-40040000000000000022−2200000000−2222000000-2200000000
χ494-4-44000-400400000000000000−22220000000022−22000000-2200000000
χ504-4-44000-400400000000000000−222200000000−22220000002-200000000
χ5188-8-8000000000000000000000000000004i−4i000000000000000000
χ5288-8-800000000000000000000000000000−4i4i000000000000000000
χ538-8-88000800-8000000000000000000000000000000000000000000

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