Finite Group Databasebeta

← Group #97228

Character table — Group #97228

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222222222444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1111-11-1-1-11-11-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1111-11-1-1-11-11-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-11-11-1-1-11-111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-11-11-1-1-11-11-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-11ii−i−iii−i−iii−i−iii−i−i
χ101111111111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-11−i−iii−i−iii−i−iii−i−iii
χ111111111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1ii−i−iii−i−i−i−iii−i−iii
χ121111111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1−i−iii−i−iiiii−i−iii−i−i
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111ii−i−i−i−iii−i−iiiii−i−i
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222-2-2-2-222-2-2-2-200002-200000000000000000000
χ1822222222222222-2-2-2-2-2-222-2-20000-2200000000000000000000
χ192222222222-2-2-2-2222222-2-2-2-20000-2200000000000000000000
χ202222222222-2-2-2-22222-2-222-2-200002-200000000000000000000
χ2122222222-2-22-22-22-22-200002-20202000-20-20000000000000000
χ2222222222-2-22-22-22-22-200002-20-20-20002020000000000000000
χ2322222222-2-22-22-2-22-220000-22202000-20-200000000000000000
χ2422222222-2-22-22-2-22-220000-22-20-200020200000000000000000
χ2522222222-2-2-22-222-22-20000-2220-2000-20200000000000000000
χ2622222222-2-2-22-222-22-20000-22-20200020-200000000000000000
χ2722222222-2-2-22-22-22-2200002-2020-2000-2020000000000000000
χ2822222222-2-2-22-22-22-2200002-20-20200020-20000000000000000
χ2944-4-44-4-444-400000000004i−4i0000000000000000000000000000
χ3044-4-44-4-444-40000000000−4i4i0000000000000000000000000000
χ3144-4-44-4-44-44000000004i−4i000000000000000000000000000000
χ3244-4-44-4-44-4400000000−4i4i000000000000000000000000000000
χ334-4444-4-4-40040-400000000000000000000000002-22-200000000
χ344-4444-4-4-40040-40000000000000000000000000-22-2200000000
χ354-4444-4-4-400-40400000000000000000000000002i−2i−2i2i00000000
χ364-4444-4-4-400-4040000000000000000000000000−2i2i2i−2i00000000
χ374-44-4-44-44000000040-40000000000000000000000002i−2i2i−2i0000
χ384-44-4-44-44000000040-4000000000000000000000000−2i2i−2i2i0000
χ394-44-4-44-440000000-4040000000000000000000000002-2-220000
χ404-44-4-44-440000000-404000000000000000000000000-222-20000
χ414-4-44-4-44400000040-4000000000000000000000000000002i−2i2i−2i
χ424-4-44-4-44400000040-400000000000000000000000000000−2i2i−2i2i
χ434-4-44-4-444000000-404000000000000000000000000000002-2-22
χ444-4-44-4-444000000-40400000000000000000000000000000-222-2
χ454-4-4-4444-400040-4000000000000000000002i−2i2i−2i000000000000
χ464-4-4-4444-400040-400000000000000000000−2i2i−2i2i000000000000
χ474-4-4-4444-4000-404000000000000000000002-2-22000000000000
χ484-4-4-4444-4000-40400000000000000000000-222-2000000000000
χ49888-8-8-88-8000000000000000000000000000000000000000000
χ5088-88-88-8-8000000000000000000000000000000000000000000

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