Finite Group Databasebeta

← Group #340606

Character table — Group #340606

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888822448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111-1-1-1-1111111111111-1-11-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1
χ9111111111111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-111
χ13111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-11-1
χ17222222222-2-22-222-2-2-2000022220022-2-20000220000-2-2000000000000-200000000
χ18222222222-2-22-222-2-2-20000222200-2-2220000-2-20000-2-2000000000000200000000
χ19222222222-2-22-222-2-2-20000-2-2-2-20022-2-20000-2-2000022000000000000200000000
χ20222222222-2-22-222-2-2-20000-2-2-2-200-2-222000022000022000000000000-200000000
χ2122222222-222-22-2-22-2-222220000220000-2-2-2-200000000-2-20000000000020000000
χ2222222222-222-22-2-22-2-222220000-2-20000222200000000-2-200000000000-20000000
χ2322222222-222-22-2-22-2-2-2-2-2-20000220000-2-222000000002200000000000-20000000
χ2422222222-222-22-2-22-2-2-2-2-2-20000-2-2000022-2-200000000220000000000020000000
χ25222-22-2-2-2-200202-2000i2i2−i2−i222-2-2002i−2i0000002i−2i000000i2−i222−2−2i2i2−i2−i20000002−2000
χ26222-22-2-2-2-200202-2000i2i2−i2−i222-2-200−2i2i000000−2i2i000000i2−i2−2−222i2i2−i2−i2000000−22000
χ27222-22-2-2-2-200202-2000i2i2−i2−i2-2-222002i−2i000000−2i2i000000i2−i222−2−2−i2−i2i2i2000000−22000
χ28222-22-2-2-2-200202-2000i2i2−i2−i2-2-22200−2i2i0000002i−2i000000i2−i2−2−222−i2−i2i2i20000002−2000
χ29222-22-2-2-2-200202-2000−i2−i2i2i222-2-2002i−2i0000002i−2i000000−i2i2−2−222−i2−i2i2i2000000−22000
χ30222-22-2-2-2-200202-2000−i2−i2i2i222-2-200−2i2i000000−2i2i000000−i2i222−2−2−i2−i2i2i20000002−2000
χ31222-22-2-2-2-200202-2000−i2−i2i2i2-2-222002i−2i000000−2i2i000000−i2i2−2−222i2i2−i2−i20000002−2000
χ32222-22-2-2-2-200202-2000−i2−i2i2i2-2-22200−2i2i0000002i−2i000000−i2i222−2−2i2i2−i2−i2000000−22000
χ3322-2-2-2-22202-20200-2002-22-22−22−20000002i−2i2i−2i00i2i2−i2−i22−20000002−22−20000i2−i200000
χ3422-2-2-2-22202-20200-2002-22-22−22−2000000−2i2i−2i2i00−i2−i2i2i22−20000002−22−20000−i2i200000
χ3522-2-2-2-22202-20200-2002-22-2−22−220000002i−2i2i−2i00−i2−i2i2i2−22000000−22−220000−i2i200000
χ3622-2-2-2-22202-20200-2002-22-2−22−22000000−2i2i−2i2i00i2i2−i2−i2−22000000−22−220000i2−i200000
χ3722-2-2-2-22202-20200-200-22-222−22−20000002i−2i−2i2i00i2i2−i2−i22−2000000−22−220000−i2i200000
χ3822-2-2-2-22202-20200-200-22-222−22−2000000−2i2i2i−2i00−i2−i2i2i22−2000000−22−220000i2−i200000
χ3922-2-2-2-22202-20200-200-22-22−22−220000002i−2i−2i2i00−i2−i2i2i2−220000002−22−20000i2−i200000
χ4022-2-2-2-22202-20200-200-22-22−22−22000000−2i2i2i−2i00i2i2−i2−i2−220000002−22−20000−i2i200000
χ412-222-2-22-2-2222-2-22-2-22000000000000000000002i−2i2i−2i00002i−2i2i−2i00002-2000000000
χ422-222-2-22-2-2222-2-22-2-22000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000-22000000000
χ432-222-2-22-2-2222-2-22-2-2200000000000000000000−2i2i−2i2i00002i−2i2i−2i0000-22000000000
χ442-222-2-22-2-2222-2-22-2-2200000000000000000000−2i2i−2i2i0000−2i2i−2i2i00002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-4400-40-440002i22i2−2i2−2i20000000000000000000000−2i22i20000000000000000000
χ47444-44-4-4-4400-40-44000−2i2−2i22i22i200000000000000000000002i2−2i20000000000000000000
χ4844-44-44-4-400000000002i2−2i2−2i22i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ4944-44-44-4-400000000002i2−2i2−2i22i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ5044-44-44-4-40000000000−2i22i22i2−2i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ5144-44-44-4-40000000000−2i22i22i2−2i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ5244-4-4-4-4440-440-400400000022−2222−220000000000000000−2222000000000000000000000
χ5344-4-4-4-4440-440-4004000000−2222−2222000000000000000022−22000000000000000000000
χ544-444-4-44-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ554-444-4-44-44-4-4-444-44-4400000000000000000000000000000000000000000000000
χ564-444-4-44-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ574-44-4-44-4440040-4-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-44-4-44-4440040-4-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ594-44-4-44-44-400-40440000000000000004-4000000000000000000000000000000000
χ604-44-4-44-44-400-4044000000000000000-44000000000000000000000000000000000
χ614-4-4-4444-404-40-4004000000000000000000000022−22−222200000000000000000000000
χ624-4-4-4444-404-40-40040000000000000000000000−222222−2200000000000000000000000
χ634-4-4-4444-40-440400-400000000004i−4i0000000000000000000000000000000000000
χ644-4-4-4444-40-440400-40000000000−4i4i0000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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