Finite Group Databasebeta

← Group #308266

Character table — Group #308266

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111111-1-1-1
χ91111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111111-1-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-111-1-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-1111-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111111-1-111-1
χ172222222222-2-2-222-22222-2-20000000000-2-22200000022-2-20000-200000000000000
χ182222222222-2-2-222-22222-2-20000000000-2-2-2-2000000-2-2220000200000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200000000002222000000-2-2220000-200000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000000000022-2-200000022-2-20000200000000000000
χ2122222222-2-2222-2-220000-2-222222222-2-200000000-2-2000000000000000-20000000
χ2222222222-2-2222-2-220000-2-22222-2-2-2-22200000000-2-200000000000000020000000
χ2322222222-2-2222-2-220000-2-2-2-2-2-222-2-2-2-2000000002200000000000000020000000
χ2422222222-2-2222-2-220000-2-2-2-2-2-2-2-222220000000022000000000000000-20000000
χ25222-2-2-22-2222-22-2-2-200002-200002-2002-2000022-2-200000000000002-20000000000
χ26222-2-2-22-2222-22-2-2-200002-200002-2002-20000-2-2220000000000000-220000000000
χ27222-2-2-22-2222-22-2-2-200002-20000-2200-22000022-2-20000000000000-220000000000
χ28222-2-2-22-2222-22-2-2-200002-20000-2200-220000-2-22200000000000002-20000000000
χ29222-2-2-22-2-2-22-2222-22i2i−2i−2i-2200002-200-222i−2i0000000000000000000002i−2i00000000
χ30222-2-2-22-2-2-22-2222-22i2i−2i−2i-220000-22002-22i−2i000000000000000000000−2i2i00000000
χ31222-2-2-22-2-2-22-2222-2−2i−2i2i2i-2200002-200-22−2i2i000000000000000000000−2i2i00000000
χ32222-2-2-22-2-2-22-2222-2−2i−2i2i2i-220000-22002-2−2i2i0000000000000000000002i−2i00000000
χ33222-2-2-22-2-2-2-22-22222i2i−2i−2i2-20000000000−2i2i000000000000000002i−2i00000002-2000
χ34222-2-2-22-2-2-2-22-22222i2i−2i−2i2-20000000000−2i2i00000000000000000−2i2i0000000-22000
χ35222-2-2-22-2-2-2-22-2222−2i−2i2i2i2-200000000002i−2i000000000000000002i−2i0000000-22000
χ36222-2-2-22-2-2-2-22-2222−2i−2i2i2i2-200000000002i−2i00000000000000000−2i2i00000002-2000
χ3722-2-2-22-222-20002-202i−2i2i−2i00i2i2−i2−i2000000002-22−22−2i2−i22i−2i0022−2−200000000i2−i200000
χ3822-2-2-22-222-20002-202i−2i2i−2i00i2i2−i2−i200000000-222−22−2i2−i2−2i2i00−2−22200000000−i2i200000
χ3922-2-2-22-222-20002-202i−2i2i−2i00−i2−i2i2i2000000002-2−22−22−i2i22i−2i00−2−22200000000−i2i200000
χ4022-2-2-22-222-20002-202i−2i2i−2i00−i2−i2i2i200000000-22−22−22−i2i2−2i2i0022−2−200000000i2−i200000
χ4122-2-2-22-222-20002-20−2i2i−2i2i00i2i2−i2−i2000000002-2−22−22i2−i2−2i2i00−2−22200000000i2−i200000
χ4222-2-2-22-222-20002-20−2i2i−2i2i00i2i2−i2−i200000000-22−22−22i2−i22i−2i0022−2−200000000−i2i200000
χ4322-2-2-22-222-20002-20−2i2i−2i2i00−i2−i2i2i2000000002-22−22−2−i2i2−2i2i0022−2−200000000−i2i200000
χ4422-2-2-22-222-20002-20−2i2i−2i2i00−i2−i2i2i200000000-222−22−2−i2i22i−2i00−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-444-44-4-4-440000-440000000000000000000000000000000000000000000
χ4744-444-4-4-44-4000-4400000000000000000000022−22−22220000000000000000000000000
χ4844-444-4-4-44-4000-44000000000000000000000−222222−220000000000000000000000000
χ4944-444-4-4-4-440004-404-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-4-440004-40-444-4000000000000000000000000000000000000000000000
χ5144-4-4-44-44-44000-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5244-4-4-44-44-44000-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ534-444-44-4-40044-400-40000004-44-4000000000000000000000000000000000000000
χ544-444-44-4-40044-400-4000000-44-44000000000000000000000000000000000000000
χ554-444-44-4-400-4-440040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ564-444-44-4-400-4-44004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ574-44-44-4-44004-4-40040000000000004i−4i00000000000000000000000000000000000
χ584-44-44-4-44004-4-4004000000000000−4i4i00000000000000000000000000000000000
χ594-44-44-4-4400-44400-400000000000000000000000000000000000000000000002i2−2i20
χ604-44-44-4-4400-44400-40000000000000000000000000000000000000000000000−2i22i20
χ614-4-4-4444-4000000000000002i2−2i2−2i22i200000000000000000022−222i−2i−2i2i000000000000000
χ624-4-4-4444-4000000000000002i2−2i2−2i22i2000000000000000000−2222−2i2i2i−2i000000000000000
χ634-4-4-4444-400000000000000−2i22i22i2−2i200000000000000000022−22−2i2i2i−2i000000000000000
χ644-4-4-4444-400000000000000−2i22i22i2−2i2000000000000000000−22222i−2i−2i2i000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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