Finite Group Databasebeta

← Group #244767

Character table — Group #244767

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444488888888888888161616161616161616161616161616161616161632
order12224444442444444422444444448888222244444488888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-111111
χ3111111111111111111111111-1-1-1-111-1-1111-1111-1-1-1111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1111-1-1-1-1-1
χ511111111111111-1-1111-111-1-111111111-1-1-11-1-1-11-1-11111-1-111-1-1-1
χ611111111111111-1-1111-111-1-11111-1-1-1-1-111-1-111-111-1-1-1-11111-1-1-1
χ711111111111111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-1111
χ811111111111111-1-1111-111-1-1-1-1-1-1-1-111-1111-1111-1-1-1-1-11-1-1-1-1111
χ9111111111111-1-11111-11-1-11111111111-1-1-1-1-111-1-1-11-1-1111-1-111-1
χ10111111111111-1-11111-11-1-1111111-1-1-1-1-1111-1-1-1111-111-1-1-1-1-111-1
χ11111111111111-1-11111-11-1-111-1-1-1-111-1-1-1-1-11-1111111-1-1-1-1-111-1-11
χ12111111111111-1-11111-11-1-111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11111111-1-11
χ13111111111111-1-1-1-111-1-1-1-1-1-111111111111-11-1-1-1111-1-11-1-1-1-1-1-11
χ14111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-111-111-1-1-1-11
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111-1-11-1-11-1-1-1111111-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-111-1111-1-11111-1
χ17222222-222-2-2-200222-20200-2-200002200000002-2000-20000000000
χ18222222-222-2-2-200222-20200-2-20000-2-20000000-2200020000000000
χ19222222-222-2-2-200-2-22-20-200220000220000000-22000-20000000000
χ20222222-222-2-2-200-2-22-20-200220000-2-200000002-200020000000000
χ2122222-222-22-2-22200-2220-2-20000000022000-2000200000-20000000
χ2222222-222-22-2-22200-2220-2-200000000-2-20002000-20000020000000
χ2322222-222-22-2-2-2-200-22-202200000000220002000-200000-20000000
χ2422222-222-22-2-2-2-200-22-202200000000-2-2000-200020000020000000
χ252222-222-222-222222-2-2-2-22-22-2000000002000-20000000000000000
χ262222-222-222-2222-2-2-2-2-222-2-2200000000-200020000000000000000
χ272222-222-222-22-2-222-2-22-2-222-200000000-200020000000000000000
χ282222-222-222-22-2-2-2-2-2-222-22-22000000002000-20000000000000000
χ292222-22-2-22-22-20022-220-200-220000000002-2000000002-200000000
χ302222-22-2-22-22-20022-220-200-22000000000-2200000000-2200000000
χ312222-22-2-22-22-200-2-2-2202002-20000000002-200000000-2200000000
χ322222-22-2-22-22-200-2-2-2202002-2000000000-22000000002-200000000
χ332222-2-22-2-222-222002-2-20-220000000000000000002-200002-200000
χ342222-2-22-2-222-222002-2-20-22000000000000000000-220000-2200000
χ352222-2-22-2-222-2-2-2002-2202-20000000000000000002-20000-2200000
χ362222-2-22-2-222-2-2-2002-2202-2000000000000000000-2200002-200000
χ3744444-4-44-4-4440000-4-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4400004400000000000000000000000000000000000
χ3944-4-400400-4004i−4i000000000022-2-2000000000000000000002i−2i000
χ4044-4-400400-4004i−4i0000000000-2-22200000000000000000000−2i2i000
χ4144-4-400400-400−4i4i000000000022-2-200000000000000000000−2i2i000
χ4244-4-400400-400−4i4i0000000000-2-222000000000000000000002i−2i000
χ434-44-40400-4000004i−4i000000002i−2i2i−2i00000000000000000000002-20
χ444-44-40400-4000004i−4i00000000−2i2i−2i2i0000000000000000000000-220
χ454-44-40400-400000−4i4i000000002i−2i2i−2i0000000000000000000000-220
χ464-44-40400-400000−4i4i00000000−2i2i−2i2i00000000000000000000002-20
χ474-4-44400-400000000000000002i−2i−2i2i22−222i2−2i2000000000000000000000
χ484-4-44400-400000000000000002i−2i−2i2i−2222−2i22i2000000000000000000000
χ494-4-44400-40000000000000000−2i2i2i−2i22−22−2i22i2000000000000000000000
χ504-4-44400-40000000000000000−2i2i2i−2i−22222i2−2i2000000000000000000000
χ5188-8-800-80080000000000000000000000000000000000000000000
χ528-88-80-800800000000000000000000000000000000000000000000
χ538-8-88-8008000000000000000000000000000000000000000000000

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