Finite Group Databasebeta

← Group #263713

Character table — Group #263713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224444444888888888888881616161616161616161616161616161616163232
order12222244444444488882444888888888822244444444444888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-1-111-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ51111111111111111111-1-1-1-11111111111-111-1-1-111-1-11111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1111111-1-111-1-1
χ9111111111111111-1-1-1-111111111-1-1-1-1-1-111-11111-1-1-111-1-1-1-1-1-11-1
χ10111111111111111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1111-1-111-1-1-1-1-11
χ11111111111111111-1-1-1-11111-1-1-1-1-1-11111-11-1-1111-1-1-1-1-111-1-111-11
χ12111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1-1-1111-1
χ13111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11-11111-1-11111-11
χ14111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-11-1-1-1-11111111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11-111-1-11111-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-11-1-111-1-111-1-1-11
χ1722222222-222-2-2-2-200002-2-2222-2-2000000200-20000000000000000
χ1822222222-222-2-2-2-200002-2-22-2-222000000-20020000000000000000
χ1922222222-222-2-2-2-20000-222-222-2-2000000-20020000000000000000
χ2022222222-222-2-2-2-20000-222-2-2-222000000200-20000000000000000
χ21222222-2-22-2-222-2-222-2-2000000002-2000000002-2002-20000000000
χ22222222-2-22-2-222-2-222-2-2000000002-200000000-2200-220000000000
χ23222222-2-22-2-222-2-2-2-22200000000-22000000002-200-220000000000
χ24222222-2-22-2-222-2-2-2-22200000000-2200000000-22002-20000000000
χ252222-2-2222-2-22-2-22222222-2-20000-2-2000000000000000000-220000
χ262222-2-2222-2-22-2-222222-2-2220000-2-20000000000000000002-20000
χ272222-2-2222-2-22-2-22-2-2-2-222-2-20000220000000000000000002-20000
χ282222-2-2222-2-22-2-22-2-2-2-2-2-222000022000000000000000000-220000
χ292222-2-222-2-2-2-222-200002-22-20000002i2i−2i−2i00000000000000002i−2i00
χ302222-2-222-2-2-2-222-200002-22-2000000−2i−2i2i2i0000000000000000−2i2i00
χ312222-2-222-2-2-2-222-20000-22-220000002i2i−2i−2i0000000000000000−2i2i00
χ322222-2-222-2-2-2-222-20000-22-22000000−2i−2i2i2i00000000000000002i−2i00
χ332222-2-2-2-22222-22-222-2-200000000-22000002-2000-22000000000000
χ342222-2-2-2-22222-22-222-2-200000000-2200000-220002-2000000000000
χ352222-2-2-2-22222-22-2-2-222000000002-20000022000-2-2000000000000
χ362222-2-2-2-22222-22-2-2-222000000002-200000-2-200022000000000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-4-4-4-444-44-4400000000000000000000000000000000000000
χ3944-4-40000-4004000004-40000000000000000000000002i−2i2i−2i000000
χ4044-4-40000-4004000004-4000000000000000000000000−2i2i−2i2i000000
χ4144-4-40000-400400000-440000000000000000000000002i−2i−2i2i000000
χ4244-4-40000-400400000-44000000000000000000000000−2i2i2i−2i000000
χ434-4-444-44-404-4000000000000004i−4i00000000000000000000000000
χ444-4-444-44-404-400000000000000−4i4i00000000000000000000000000
χ454-4-444-4-440-440000000000000000002i2−2i22i2−2i200000000000000000000
χ464-4-444-4-440-44000000000000000000−2i22i2−2i22i200000000000000000000
χ474-4-44-444-40-440000000000004-40000000000000000000000000000
χ484-4-44-444-40-44000000000000-440000000000000000000000000000
χ494-4-44-44-4404-400000000000000000022−22−222200000000000000000000
χ504-4-44-44-4404-4000000000000000000−222222−2200000000000000000000
χ5188-8-80000800-800000000000000000000000000000000000000000
χ528-88-8000000000004i2−4i2000000000000000000000000000000000000
χ538-88-800000000000−4i24i2000000000000000000000000000000000000

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