Finite Group Databasebeta

← Group #278961

Character table — Group #278961

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444442244448888888822444444448888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1111111111111-1-1-1-11-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-11
χ91111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1
χ111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-111-1
χ121111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ172222222222-2-2-222-22222-2-2000000002222-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-2-222-22222-2-200000000-2-2-2-222-222-20000000000000000000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20000000022-2-2222-2-220000000000000000000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-200000000-2-222-2-222220000000000000000000000000000
χ2122222222-2-2222-2-2222-2-2-2-22222-2-2-2-2000000200-2-2-200002200000000000000000000
χ2222222222-2-2222-2-2222-2-2-2-2-2-2-2-22222000000200-2220000-2-200000000000000000000
χ2322222222-2-2222-2-22-2-222-2-22222-2-2-2-2000000-2002220000-2-200000000000000000000
χ2422222222-2-2222-2-22-2-222-2-2-2-2-2-22222000000-2002-2-200002200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200000000000000-2002002i2i−2i−2i002i2i−2i−2i0000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200000000000000-200200−2i−2i2i2i00−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200000000000000200-2002i2i−2i−2i00−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200000000000000200-200−2i−2i2i2i002i2i−2i−2i0000000000000000
χ29222-22-2-2-22-20002-202-22-200i2i2−i2−i2i2i2−i2−i200002i−2i02i−2i0i2−i22−22−2i2−i22−22−20000000000000000
χ30222-22-2-2-22-20002-202-22-200i2i2−i2−i2i2i2−i2−i20000−2i2i0−2i2i0i2−i2−22−22i2−i2−22−220000000000000000
χ31222-22-2-2-22-20002-202-22-200−i2−i2i2i2−i2−i2i2i200002i−2i02i−2i0−i2i2−22−22−i2i2−22−220000000000000000
χ32222-22-2-2-22-20002-202-22-200−i2−i2i2i2−i2−i2i2i20000−2i2i0−2i2i0−i2i22−22−2−i2i22−22−20000000000000000
χ33222-22-2-2-22-20002-20-22-2200i2i2−i2−i2i2i2−i2−i200002i−2i0−2i2i0−i2i22−22−2−i2i2−22−220000000000000000
χ34222-22-2-2-22-20002-20-22-2200i2i2−i2−i2i2i2−i2−i20000−2i2i02i−2i0−i2i2−22−22−i2i22−22−20000000000000000
χ35222-22-2-2-22-20002-20-22-2200−i2−i2i2i2−i2−i2i2i200002i−2i0−2i2i0i2−i2−22−22i2−i22−22−20000000000000000
χ36222-22-2-2-22-20002-20-22-2200−i2−i2i2i2−i2−i2i2i20000−2i2i02i−2i0i2−i22−22−2i2−i2−22−220000000000000000
χ37222-22-2-2-2-22000-2202-2-2200i2i2−i2−i2−i2−i2i2i22-22-2000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ38222-22-2-2-2-22000-2202-2-2200i2i2−i2−i2−i2−i2i2i2-22-22000000−i2i2−i2i2i2−i2i2−i2−i2i2i2−i20000000000000000
χ39222-22-2-2-2-22000-2202-2-2200−i2−i2i2i2i2i2−i2−i22-22-2000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ40222-22-2-2-2-22000-2202-2-2200−i2−i2i2i2i2i2−i2−i2-22-22000000i2−i2i2−i2−i2i2−i2i2i2−i2−i2i20000000000000000
χ41222-22-2-2-2-22000-220-222-200i2i2−i2−i2−i2−i2i2i22-2-22000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ42222-22-2-2-2-22000-220-222-200i2i2−i2−i2−i2−i2i2i2-222-2000000i2−i2i2−i2−i2i2−i2i2−i2i2i2−i20000000000000000
χ43222-22-2-2-2-22000-220-222-200−i2−i2i2i2i2i2−i2−i22-2-22000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ44222-22-2-2-2-22000-220-222-200−i2−i2i2i2i2i2−i2−i2-222-2000000−i2i2−i2i2i2−i2i2−i2i2−i2−i2i20000000000000000
χ4522-2-2-22-2222-22-2-2-2200002-22-22-22-22-2000000000000000000000000002i2i−2i−2i002i−2i0000
χ4622-2-2-22-2222-22-2-2-2200002-22-22-22-22-200000000000000000000000000−2i−2i2i2i00−2i2i0000
χ4722-2-2-22-2222-22-2-2-2200002-2-22-22-22-22000000000000000000000000002i2i−2i−2i00−2i2i0000
χ4822-2-2-22-2222-22-2-2-2200002-2-22-22-22-2200000000000000000000000000−2i−2i2i2i002i−2i0000
χ4922-2-2-22-22-2-2-22-22220000-222-22-2-22-22000000000000000000000022-2-200002-2000000
χ5022-2-2-22-22-2-2-22-22220000-222-22-2-22-220000000000000000000000-2-2220000-22000000
χ5122-2-2-22-22-2-2-22-22220000-22-22-222-22-2000000000000000000000022-2-20000-22000000
χ5222-2-2-22-22-2-2-22-22220000-22-22-222-22-20000000000000000000000-2-22200002-2000000
χ5344-44-4-44-44-4000-4400000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ5444-44-4-44-44-4000-440000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ5544-44-4-44-4-440004-400000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ5644-44-4-44-4-440004-40000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ5744-4-4-44-44444-44-4-4-40000-440000000000000000000000000000000000000000000000
χ5844-4-4-44-44-4-44-4444-400004-40000000000000000000000000000000000000000000000
χ594-444-44-4-4004-4-400400000000000000000000000000000000000000002i2−2i22i2−2i200000000
χ604-444-44-4-4004-4-40040000000000000000000000000000000000000000−2i22i2−2i22i200000000
χ614-444-44-4-400-44400-40000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ624-444-44-4-400-44400-4000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ634-4-4-4444-40044-400-40000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ644-4-4-4444-40044-400-4000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ654-4-4-4444-400-4-44004000000000000000000000000000000000000000022−22−222200000000
χ664-4-4-4444-400-4-440040000000000000000000000000000000000000000−222222−2200000000
χ678-88-8-8-888000000000000000000000000000000000000000000000000000000000000
χ688-8-888-8-88000000000000000000000000000000000000000000000000000000000000

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