Finite Group Databasebeta

← Group #348403

Character table — Group #348403

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444888888888888888888161616161616161632323232
order12222222444444442222444444444488888888244444888888888888888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ511111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1-11
χ91111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ101111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ121111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ172222222222-22-2-2-220000-2-20000222222222222-2-20000-2-2-2-200000000000000000000
χ182222222222-22-2-2-220000-2-200002222-2-2-2-2-2-2-2-2-2-20000222200000000000000000000
χ192222222222-22-2-2-220000-2-20000-2-2-2-22222-2-2-2-2220000-2-22200000000000000000000
χ202222222222-22-2-2-220000-2-20000-2-2-2-2-2-2-2-2222222000022-2-200000000000000000000
χ2122222222-2-22-2222-22222-2-2-2-2-2-222-2-2000000002-222-2-2000000000000000000000000
χ2222222222-2-22-2222-22222-2-2-2-2-2-2-2-22200000000-22-2-222000000000000000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2222222-2-2000000002-2-2-222000000000000000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-22222-2-22200000000-2222-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2000022000022-2-200000000-22000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-2000022000022-2-200000000-2200000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-20000220000-2-222000000002-2000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-20000220000-2-222000000002-200000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292-2-2222-2-2222-2-2-22-222-2-22-222-2-2000000002i2i−2i−2i000000002i−2i00002i−2i2i−2i000000000000
χ302-2-2222-2-2222-2-2-22-222-2-22-222-2-200000000−2i−2i2i2i00000000−2i2i0000−2i2i−2i2i000000000000
χ312-2-2222-2-2222-2-2-22-2-2-2222-2-2-222000000002i2i−2i−2i000000002i−2i0000−2i2i−2i2i000000000000
χ322-2-2222-2-2222-2-2-22-2-2-2222-2-2-22200000000−2i−2i2i2i00000000−2i2i00002i−2i2i−2i000000000000
χ332-2-2222-2-222-2-222-2-20000-220000000000002i2i−2i−2i002-22-200−2i2i2i−2i2i−2i0000000000000000
χ342-2-2222-2-222-2-222-2-20000-220000000000002i2i−2i−2i00-22-2200−2i2i−2i2i−2i2i0000000000000000
χ352-2-2222-2-222-2-222-2-20000-22000000000000−2i−2i2i2i002-22-2002i−2i−2i2i−2i2i0000000000000000
χ362-2-2222-2-222-2-222-2-20000-22000000000000−2i−2i2i2i00-22-22002i−2i2i−2i2i−2i0000000000000000
χ372-2-2222-2-2-2-222-2-22222-2-2-22-2-222000022-2-200000000002-2002-2-220000000000000000
χ382-2-2222-2-2-2-222-2-22222-2-2-22-2-2220000-2-2220000000000-2200-222-20000000000000000
χ392-2-2222-2-2-2-222-2-222-2-222-2222-2-2000022-2-200000000002-200-222-20000000000000000
χ402-2-2222-2-2-2-222-2-222-2-222-2222-2-20000-2-2220000000000-22002-2-220000000000000000
χ412-2-2222-2-2-2-2-2222-2200002-20000000022-2-20000002-2-22-220000002-2-22000000000000
χ422-2-2222-2-2-2-2-2222-2200002-20000000022-2-2000000-222-2-22000000-222-2000000000000
χ432-2-2222-2-2-2-2-2222-2200002-200000000-2-2220000002-2-222-2000000-222-2000000000000
χ442-2-2222-2-2-2-2-2222-2200002-200000000-2-222000000-222-22-20000002-2-22000000000000
χ454444-4-4-4-40000000000000000004i−4i0022−2222−222i2−2i22i2−2i2000000000000000000000000000000
χ464444-4-4-4-40000000000000000004i−4i00−2222−2222−2i22i2−2i22i2000000000000000000000000000000
χ474444-4-4-4-4000000000000000000−4i4i0022−2222−22−2i22i2−2i22i2000000000000000000000000000000
χ484444-4-4-4-4000000000000000000−4i4i00−2222−22222i2−2i22i2−2i2000000000000000000000000000000
χ4944-4-44-44-400404-4-400000004i−4i4i−4i000000000000000000000000000000000000000000
χ5044-4-44-44-400404-4-40000000−4i4i−4i4i000000000000000000000000000000000000000000
χ5144-4-44-44-400-40-44404-44-4000000000000000000000000000000000000000000000000
χ5244-4-44-44-400-40-4440-44-44000000000000000000000000000000000000000000000000
χ5344-4-4-44-444-404000-40000000000000000000000000000000000000000002i2−2i200000000
χ5444-4-4-44-444-404000-4000000000000000000000000000000000000000000−2i22i200000000
χ5544-4-4-44-44-440-40004000000000000000000000000000000000000000000000022−220000
χ5644-4-4-44-44-440-400040000000000000000000000000000000000000000000000−22220000
χ574-44-44-4-440040-44-400000004i−4i−4i4i000000000000000000000000000000000000000000
χ584-44-44-4-440040-44-40000000−4i4i4i−4i000000000000000000000000000000000000000000
χ594-44-44-4-4400-404-4404-4-44000000000000000000000000000000000000000000000000
χ604-44-44-4-4400-404-440-444-4000000000000000000000000000000000000000000000000
χ614-44-4-444-44-40-400040000000000000000000000000000000000000000000022−22000000
χ624-44-4-444-44-40-4000400000000000000000000000000000000000000000000−2222000000
χ634-44-4-444-4-4404000-400000000000000000000000000000000000000002i2−2i20000000000
χ644-44-4-444-4-4404000-40000000000000000000000000000000000000000−2i22i20000000000
χ654-4-44-4-444000000000000000000004-422−22−222222−22−2222000000000000000000000000000000
χ664-4-44-4-444000000000000000000004-4−222222−22−222222−22000000000000000000000000000000
χ674-4-44-4-44400000000000000000000-4422−22−2222−222222−22000000000000000000000000000000
χ684-4-44-4-44400000000000000000000-44−222222−2222−22−2222000000000000000000000000000000

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