Finite Group Databasebeta

← Group #489993

Character table — Group #489993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444444488888888881616161616161616161616161616161632323232
order1222444424444888824444444882244448816161616161616162288
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11111111-11-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111-1-1-1-1-1-1-1-111-11-1111-1-11111-1-1-1-111-1-1
χ811111111111111111-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-1-11111-1-111
χ91111-1-111-11-1-11111111-1-111-1-1-1-11-1-111-11-111-1-111-1-11-11-1
χ101111-1-111-11-1-11111111-1-111-1-1-1-11-1-111-11-1-1-111-1-111-11-11
χ111111-1-111-11-1-11111111-1-1-1-111-1-1-111-1-111-111-1-111-1-1-11-11
χ121111-1-111-11-1-11111111-1-1-1-111-1-1-111-1-111-1-1-111-1-1111-11-1
χ131111-1-111-11-1-111111-1-11111-1-1-1-111-1-1-11-1111-1-1-1-111-111-1
χ141111-1-111-11-1-111111-1-11111-1-1-1-111-1-1-11-11-1-11111-1-11-1-11
χ151111-1-111-11-1-111111-1-111-1-111-1-1-1-1111-1-1111-1-1-1-1111-1-11
χ161111-1-111-11-1-111111-1-111-1-111-1-1-1-1111-1-11-1-11111-1-1-111-1
χ172222222222222-2-2-2-222220000-2-2000000-2-2000000000000
χ182222222222222-2-2-2-2-2-2-2-20000-2-200000022000000000000
χ1922222222-2-22-2-22-2-22000022222-2-20-200000000000000000
χ2022222222-2-22-2-22-2-220000-2-2-2-22-220200000000000000000
χ2122222222-2-22-2-2-222-200000000-220202-2-200000000000000
χ2222222222-2-22-2-2-222-200000000-220-20-22200000000000000
χ23222222-2-22-2-2-2200002-22-2000000000000002−22−22−22−20000
χ24222222-2-22-2-2-2200002-22-200000000000000−22−22−22−220000
χ25222222-2-22-2-2-220000-22-22000000000000002−22−2−22−220000
χ26222222-2-22-2-2-220000-22-2200000000000000−22−222−22−20000
χ272222-2-2222-2-22-22-2-22000022-2-2-22-20200000000000000000
χ282222-2-2222-2-22-22-2-220000-2-222-2220-200000000000000000
χ292222-2-2222-2-22-2-222-2000000002-2020-22-200000000000000
χ302222-2-2222-2-22-2-222-2000000002-20-202-2200000000000000
χ312222-2-222-22-2-22-2-2-2-222-2-2000022000000-22000000000000
χ322222-2-222-22-2-22-2-2-2-2-2-2220000220000002-2000000000000
χ332222-2-2-2-2-2-222200002-2-22000000000000002−2−222−2−220000
χ342222-2-2-2-2-2-222200002-2-2200000000000000−222−2−222−20000
χ352222-2-2-2-2-2-22220000-222-2000000000000002−2−22−222−20000
χ362222-2-2-2-2-2-22220000-222-200000000000000−222−22−2−220000
χ37444444-4-4-44-44-40000000000000000000000000000000000
χ384444-4-4-4-4444-4-40000000000000000000000000000000000
χ3944-4-4004-400000400-400004i−4i000000000000000000000000
χ4044-4-4004-400000400-40000−4i4i000000000000000000000000
χ4144-4-4004-400000-40040000004-40000000000000000000000
χ4244-4-4004-400000-4004000000-440000000000000000000000
χ4388-8-800-88000000000000000000000000000000000000000
χ448-88-8000000000042−420000000000000000000000000000000
χ458-88-80000000000−42420000000000000000000000000000000
χ468-8-888-800000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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