Finite Group Databasebeta

← Group #244777

Character table — Group #244777

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444488888888888888161616161616161616161616161616161616161632
order12224444442444444422444444448888224444444488888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-111111
χ3111111111111111111111111-1-1-1-111-1-1111-1-1-1111-11-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1111-1-11111-1-11-11-1-111-1-1-1-1-1
χ51111111111111-1-11111-11-11-111111111-111-1-1-1-1-1-1-111-1-11111-1-1-1
χ61111111111111-1-11111-11-11-11111-1-1-1-1-1-1-1111-1111-1-111-1-111-1-1-1
χ71111111111111-1-11111-11-11-1-1-1-1-111-1-1-111111-1-1-111-1-1-1-1-1-1-1111
χ81111111111111-1-11111-11-11-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111111-1-1111
χ911111111111-1-111111-11-11-1111111111-1-1-11-1-1-1-1-111111-1-1-1-111-1
χ1011111111111-1-111111-11-11-111111-1-1-1-1-111-111-111-1-1-1-1-111-1-111-1
χ1111111111111-1-111111-11-11-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1111111-1-11
χ1211111111111-1-111111-11-11-11-1-1-1-1-1-111-1111-1-1-1111-11-1-1-1-111-1-11
χ1311111111111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-111111-111-1-1-1-1-1-1-1-11
χ1411111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-1-11111-1-1-1-11
χ1511111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-111111-1-1-1111111-1
χ1611111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1111-1-11111-1
χ17222222-222-2-20022-22-20-2020-200000022000-20000020-2000000000
χ18222222-222-2-20022-22-20-2020-2000000-2-2000200000-202000000000
χ19222222-222-2-200-2-2-22-2020-20200000022000200000-20-2000000000
χ20222222-222-2-200-2-2-22-2020-202000000-2-2000-200000202000000000
χ2122222-222-22-22200-2-22-2020-20000022000-220000000-20000000000
χ2222222-222-22-22200-2-22-2020-200000-2-20002-2000000020000000000
χ2322222-222-22-2-2-200-2-2220-20200000220002-20000000-20000000000
χ2422222-222-22-2-2-200-2-2220-20200000-2-2000-22000000020000000000
χ252222-222-222-222222-2-222-2-2-2-200000000-200000200000000000000
χ262222-222-222-222-2-22-2-22-2-22-2200000000200000-200000000000000
χ272222-222-222-2-2-2222-2-2-222-22-200000000200000-200000000000000
χ282222-222-222-2-2-2-2-22-2-2-2-2222200000000-200000200000000000000
χ292222-22-2-22-220022-2-220-20-2020000000000002-2000000002-200000
χ302222-22-2-22-220022-2-220-20-202000000000000-2200000000-2200000
χ312222-22-2-22-2200-2-2-2-2202020-20000000000002-200000000-2200000
χ322222-22-2-22-2200-2-2-2-2202020-2000000000000-22000000002-200000
χ332222-2-22-2-2222200-22-2-20-20200000000000000002-20002-20000000
χ342222-2-22-2-2222200-22-2-20-2020000000000000000-22000-220000000
χ352222-2-22-2-222-2-200-22-22020-200000000000000002-2000-220000000
χ362222-2-22-2-222-2-200-22-22020-20000000000000000-220002-20000000
χ3744444-4-44-4-4400004-4-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4000044400000000000000000000000000000000000
χ3944-4-400-400404i−4i000000000002i2i−2i−2i000000000000000000002-2000
χ4044-4-400-400404i−4i00000000000−2i−2i2i2i00000000000000000000-22000
χ4144-4-400-40040−4i4i000000000002i2i−2i−2i00000000000000000000-22000
χ4244-4-400-40040−4i4i00000000000−2i−2i2i2i000000000000000000002-2000
χ434-44-40-400400004i−4i0000000002-22-200000000000000000000002i−2i0
χ444-44-40-400400004i−4i000000000-22-220000000000000000000000−2i2i0
χ454-44-40-40040000−4i4i0000000002-22-20000000000000000000000−2i2i0
χ464-44-40-40040000−4i4i000000000-22-2200000000000000000000002i−2i0
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
χ5188-8-800800-80000000000000000000000000000000000000000000
χ528-88-80800-800000000000000000000000000000000000000000000
χ538-8-88-8008000000000000000000000000000000000000000000000

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