Finite Group Databasebeta

← Group #308442

Character table — Group #308442

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111
χ101111111111111111-1-1-1-11111111111-1-111-1-1111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1111-1-111-1-11111-1
χ172222222222-22-2-2-220000-2-2222222-2-20022000000-2-200000000000-200000000000
χ182222222222-22-2-2-220000-2-22222-2-22200-2-2000000-2-200000000000200000000000
χ192222222222-22-2-2-220000-2-2-2-2-2-222-2-200-2-20000002200000000000200000000000
χ202222222222-22-2-2-220000-2-2-2-2-2-2-2-22200220000002200000000000-200000000000
χ2122222222-2-22-2222-22222-2-200000000-2-20022-2-2220000000000-200000000000000
χ2222222222-2-22-2222-22222-2-200000000-2-200-2-222-2-20000000000200000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-20000000022002222-2-20000000000-200000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000000002200-2-2-2-2220000000000200000000000000
χ25222-2-2-22-2222-2-22-2-222-2-22-2000000002-20000000000000000000000002-22-200000
χ26222-2-2-22-2222-2-22-2-222-2-22-2000000002-2000000000000000000000000-22-2200000
χ27222-2-2-22-2222-2-22-2-2-2-2222-200000000-220000000000000000000000002-2-2200000
χ28222-2-2-22-2222-2-22-2-2-2-2222-200000000-22000000000000000000000000-222-200000
χ29222-2-2-22-2-2-222-22-2222-2-2-2200002i−2i2i−2i-2200000000000000000002i−2i000000000000
χ30222-2-2-22-2-2-222-22-2222-2-2-220000−2i2i−2i2i-220000000000000000000−2i2i000000000000
χ31222-2-2-22-2-2-222-22-22-2-222-2200002i−2i2i−2i2-20000000000000000000−2i2i000000000000
χ32222-2-2-22-2-2-222-22-22-2-222-220000−2i2i−2i2i2-200000000000000000002i−2i000000000000
χ33222-2-2-22-2-2-2-222-22200002-200002i−2i−2i2i00000000000022-2-2000000002i−2i000000000
χ34222-2-2-22-2-2-2-222-22200002-200002i−2i−2i2i000000000000-2-22200000000−2i2i000000000
χ35222-2-2-22-2-2-2-222-22200002-20000−2i2i2i−2i00000000000022-2-200000000−2i2i000000000
χ36222-2-2-22-2-2-2-222-22200002-20000−2i2i2i−2i000000000000-2-222000000002i−2i000000000
χ372-22-22-2-220020-2-2202-22-200i2i2−i2−i2000000002-2002-2i2−i2i2−i2i2−i2i2i2−i2−i2000000000000i2−i20
χ382-22-22-2-220020-2-2202-22-200i2i2−i2−i200000000-2200-22i2−i2i2−i2i2−i2−i2−i2i2i2000000000000−i2i20
χ392-22-22-2-220020-2-2202-22-200−i2−i2i2i2000000002-2002-2−i2i2−i2i2−i2i2−i2−i2i2i2000000000000−i2i20
χ402-22-22-2-220020-2-2202-22-200−i2−i2i2i200000000-2200-22−i2i2−i2i2−i2i2i2i2−i2−i2000000000000i2−i20
χ412-22-22-2-220020-2-220-22-2200i2i2−i2−i2000000002-200-22i2−i2−i2i2−i2i2−i2−i2i2i2000000000000i2−i20
χ422-22-22-2-220020-2-220-22-2200i2i2−i2−i200000000-22002-2i2−i2−i2i2−i2i2i2i2−i2−i2000000000000−i2i20
χ432-22-22-2-220020-2-220-22-2200−i2−i2i2i2000000002-200-22−i2i2i2−i2i2−i2i2i2−i2−i2000000000000−i2i20
χ442-22-22-2-220020-2-220-22-2200−i2−i2i2i200000000-22002-2−i2i2i2−i2i2−i2−i2−i2i2i2000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-444-4-44-44-40000-440000000000000000000000000000000000000000000
χ4744-44-4-4-444-404000-400000000000000004-40000000000000000000000000000000
χ4844-44-4-4-444-404000-40000000000000000-440000000000000000000000000000000
χ4944-44-4-4-44-440-40004000000000000000000000000000000000000000000002i2−2i2000
χ5044-44-4-4-44-440-4000400000000000000000000000000000000000000000000−2i22i2000
χ5144-4-444-4-44-40-400040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5244-4-444-4-44-40-40004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5344-4-444-4-4-4404000-40000004-44-4000000000000000000000000000000000000000
χ5444-4-444-4-4-4404000-4000000-44-44000000000000000000000000000000000000000
χ554-444-44-4-400404-4-404-4-44000000000000000000000000000000000000000000000
χ564-444-44-4-400404-4-40-444-4000000000000000000000000000000000000000000000
χ574-444-44-4-400-40-4440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ584-444-44-4-400-40-444000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ594-44-44-4-4400-4044-400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ604-44-44-4-4400-4044-40000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ614-4-444-44-4000000000000002i2−2i2−2i22i200000000002i2−2i2000000002-2-22000000000000000
χ624-4-444-44-4000000000000002i2−2i2−2i22i20000000000−2i22i200000000-222-2000000000000000
χ634-4-444-44-400000000000000−2i22i22i2−2i200000000002i2−2i200000000-222-2000000000000000
χ644-4-444-44-400000000000000−2i22i22i2−2i20000000000−2i22i2000000002-2-22000000000000000
χ658-8-8-8-8888000000000000000000000000000000000000000000000000000000000

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