Finite Group Databasebeta

← Group #272375

Character table — Group #272375

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444422444224444444888888884444488888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111-111-1-1-1-1-1-1-1111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ5111111111111111111-111-1-1-111-1-11111111-1-11111-1-1-11-1-1-1-1-1-11-1
χ6111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-11
χ7111111111111111111-111-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-111-1-1-11
χ8111111111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-111-1-1111-1
χ9111111111111-1-1111-11-1-1111111111-1-1-1-11-1-1-1-1-1-11-1-1111-1-1-1-111
χ10111111111111-1-1111-11-1-11111111-1-111111-1-1-1-1111-1-1-1-1-11111-1-1
χ11111111111111-1-1111-11-1-1111-1-1-1-111-1-1-1-1-1-1-11111-11111111-1-1-1-1
χ12111111111111-1-1111-11-1-1111-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-11111
χ13111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-1111-1-111111-1
χ14111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-111-111-1-1-1-1-11
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-11-1-1-1-111-11
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-11111-11111-1-11-1-1-11111-1-11-1
χ172222222-2-222200-2-2-202002-2-222-2-2000000-2000000200000000000
χ182222222-2-222200-2-2-202002-2-2-2-2220000002000000-200000000000
χ192222222-2-222200-2-2-20-200-2222222000000-2000000-200000000000
χ202222222-2-222200-2-2-20-200-222-2-2-2-20000002000000200000000000
χ21222222-222-2-2-2222-2-220-2-20000000000000000000000002i−2i002i−2i00
χ22222222-222-2-2-2222-2-220-2-2000000000000000000000000−2i2i00−2i2i00
χ23222222-222-2-2-2-2-22-2-2-20220000000000000000000000002i−2i00−2i2i00
χ24222222-222-2-2-2-2-22-2-2-2022000000000000000000000000−2i2i002i−2i00
χ252222-2-2222-2-2222-2-22-202-200000002222-2-20000000000-200000000
χ262222-2-2222-2-2222-2-22-202-20000000-2-2-2-2220000000000200000000
χ272222-2-2222-2-22-2-2-2-2220-22000000022-2-2220000000000-200000000
χ282222-2-2222-2-22-2-2-2-2220-220000000-2-222-2-20000000000200000000
χ292222-2-2-22222-222-22-2-22-22-22-2000000000002-20000000000000000
χ302222-2-2-22222-222-22-2-2-2-222-2200000000000-220000000000000000
χ312222-2-2-22222-2-2-2-22-2222-2-22-200000000000-220000000000000000
χ322222-2-2-22222-2-2-2-22-22-22-22-22000000000002-20000000000000000
χ332222-2-2-2-2-222-2002-220200-2-2200000000000002-20002-2000000000
χ342222-2-2-2-2-222-2002-220200-2-220000000000000-22000-22000000000
χ352222-2-2-2-2-222-2002-220-20022-200000000000002-2000-22000000000
χ362222-2-2-2-2-222-2002-220-20022-20000000000000-220002-2000000000
χ37444444-4-4-4-4-4-400-444000000000000000000000000000000000000
χ384444-4-44-4-4-4-440044-4000000000000000000000000000000000000
χ3944-4-44-44004-4-40000000000000000000000000000000000022−220000
χ4044-4-44-44004-4-400000000000000000000000000000000000−22220000
χ4144-4-44-4-400-4440000000000004i−4i000000000000000000000000000
χ4244-4-44-4-400-444000000000000−4i4i000000000000000000000000000
χ4344-4-4-44400-44-4000000000000004-40000000000000000000000000
χ4444-4-4-44400-44-400000000000000-440000000000000000000000000
χ4544-4-4-44-4004-440000000000000000000000000002i2−2i2000000000000
χ4644-4-4-44-4004-44000000000000000000000000000−2i22i2000000000000
χ474-44-4000-440004-4000000000000002i2−2i22i2−2i2000000000000000000000
χ484-44-4000-440004-400000000000000−2i22i2−2i22i2000000000000000000000
χ494-44-4000-44000-44000000000000002i2−2i2−2i22i2000000000000000000000
χ504-44-4000-44000-4400000000000000−2i22i22i2−2i2000000000000000000000
χ518-88-80008-800000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000004i−4i0000000000000000000
χ538-8-880000000000000000000000000000−4i4i0000000000000000000

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