Finite Group Databasebeta

← Group #179866

Character table — Group #179866

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444488888888444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-11-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11-11-1-11-1-1-11-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-11-1-1-1-11-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11-11111-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-1
χ9111111111-1-1-1-1-1-111111-11111-1-1-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1
χ10111111111-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ11111111111-1-1-1-1-1-111111-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ12111111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-111-1-11111-111-1-1-1-11111-1-1
χ13111111111-1-1-1-1-1-111111-1-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-111-1-111
χ14111111111-1-1-1-1-1-111111-1-1-1-1-1111111-1-11-1-11-111-1-1-11111-1-111-1-1
χ15111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-111-111-11-1-11-1-111-1-11111-1-1
χ16111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1111111-1-1-111-1-111-1-1-1-111
χ1722222222222-2-222-2-22-2-2-2000000000000000000002-22-200000000
χ1822222222222-2-222-2-22-2-2-200000000000000000000-22-2200000000
χ19222222222-2-222-2-2-2-22-2-22000000000000000000002-2-2200000000
χ20222222222-2-222-2-2-2-22-2-2200000000000000000000-222-200000000
χ2122222222-22222-2-2-22-2-22-2000000000020-2002000-2000000000000
χ2222222222-22222-2-2-22-2-22-20000000000-20200-20002000000000000
χ2322222222-222-2-2-2-22-2-22-22000000002-2020000-2000000000000000
χ2422222222-222-2-2-2-22-2-22-2200000000-220-200002000000000000000
χ2522222222-2-2-222222-2-22-2-2000000002-20-200002000000000000000
χ2622222222-2-2-222222-2-22-2-200000000-22020000-2000000000000000
χ2722222222-2-2-2-2-222-22-2-222000000000020200-2000-2000000000000
χ2822222222-2-2-2-2-222-22-2-2220000000000-20-20020002000000000000
χ29444-44-4-4-4000004-40000000000000000000000000000002-22-20000
χ30444-44-4-4-4000004-4000000000000000000000000000000-22-220000
χ31444-44-4-4-400000-440000000000000000000000000000002-2-220000
χ32444-44-4-4-400000-44000000000000000000000000000000-222-20000
χ3344-44-4-44-4400000000-400000002222−22−22000000000000000000000000
χ3444-44-4-44-4400000000-40000000−22−222222000000000000000000000000
χ3544-44-4-44-4-40000000040002i22i2−2i2−2i20000000000000000000000000000
χ3644-44-4-44-4-4000000004000−2i2−2i22i22i20000000000000000000000000000
χ3744-4-4-44-440004i−4i0000000000000000000002-2002i−2i0000000000000
χ3844-4-4-44-440004i−4i000000000000000000000-2200−2i2i0000000000000
χ3944-4-4-44-44000−4i4i0000000000000000000002-200−2i2i0000000000000
χ4044-4-4-44-44000−4i4i000000000000000000000-22002i−2i0000000000000
χ414-44-4-444-404-400000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ424-44-4-444-404-40000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ434-44-4-444-40-4400000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ444-44-4-444-40-440000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ454-4-4444-4-40000000400-40000000000000000000000000000000022−22
χ464-4-4444-4-40000000400-400000000000000000000000000000000−2222
χ474-4-4444-4-40000000-40040000000000000000000000000000002i2−2i200
χ484-4-4444-4-40000000-4004000000000000000000000000000000−2i22i200
χ494-4-4-44-44400000000400-4000002i2−2i2−2i22i2000000000000000000000000
χ504-4-4-44-44400000000400-400000−2i22i22i2−2i2000000000000000000000000
χ514-4-4-44-44400000000-4004022−22−22220000000000000000000000000000
χ524-4-4-44-44400000000-40040−222222−220000000000000000000000000000
χ538-888-8-8-88000000000000000000000000000000000000000000000

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