Finite Group Databasebeta

← Group #255136

Character table — Group #255136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244442244444422244444444444444888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-11-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-11-1111111-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-1111-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-111-11-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11-1-1111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-111
χ11111111111111-1-1-1-1-1-11-1-1111-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-11-1-1-111-1-111
χ12111111111111-1-1-1-1-1-11-1-1111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-11-1-11111-1-1
χ13111111111111-1-1-1-1-1-11-1-1111-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11-1-11-11-1-111-1-111
χ14111111111111-1-1-1-1-1-11-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-11-1-1111-1-1-111-1-1-1-111111111-1-1-1-11111-1-11-1-11-1111-1-111-1-1
χ16111111111111-1-1-1-1-1-11-1-1111-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-111-1-1-1-111
χ172222222222222222-2-2-222-2-2-2-2222200000000000000000000000-20-20000000000
χ182222222222222222-2-2-222-2-2-2-2-2-2-2-2000000000000000000000002020000000000
χ19222222222222-2-2-2-222-2-2-2-2-2-2222-2-200000000000000000000000-2020000000000
χ20222222222222-2-2-2-222-2-2-2-2-2-22-2-2220000000000000000000000020-20000000000
χ2122222222-2-2-2-22222222-2-2-2-22-200000000220000-2-200000000-2200000000000000
χ2222222222-2-2-2-22222222-2-2-2-22-200000000-2-2000022000000002-200000000000000
χ2322222222-2-2-2-22222-2-2-2-2-222-220000000000000000000000000020-202-200000000
χ2422222222-2-2-2-22222-2-2-2-2-222-2200000000000000000000000000-2020-2200000000
χ2522222222-2-2-2-2-2-2-2-222-22222-2-2000000000000000000000000002020-2-200000000
χ2622222222-2-2-2-2-2-2-2-222-22222-2-200000000000000000000000000-20-202200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-22200000000220000-2-2000000002-200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-22200000000-2-200002200000000-2200000000000000
χ29222-2-2-22-22-22-22i2i−2i−2i0002i−2i00002-22i−2i00000000000022−2−2i2i2−i2−i20000000000002−2i2−i2
χ30222-2-2-22-22-22-22i2i−2i−2i0002i−2i00002-22i−2i000000000000−2−222−i2−i2i2i2000000000000−22−i2i2
χ31222-2-2-22-22-22-22i2i−2i−2i0002i−2i0000-22−2i2i00000000000022−2−2i2i2−i2−i2000000000000−22−i2i2
χ32222-2-2-22-22-22-22i2i−2i−2i0002i−2i0000-22−2i2i000000000000−2−222−i2−i2i2i20000000000002−2i2−i2
χ33222-2-2-22-22-22-2−2i−2i2i2i000−2i2i00002-2−2i2i00000000000022−2−2−i2−i2i2i20000000000002−2−i2i2
χ34222-2-2-22-22-22-2−2i−2i2i2i000−2i2i00002-2−2i2i000000000000−2−222i2i2−i2−i2000000000000−22i2−i2
χ35222-2-2-22-22-22-2−2i−2i2i2i000−2i2i0000-222i−2i00000000000022−2−2−i2−i2i2i2000000000000−22i2−i2
χ36222-2-2-22-22-22-2−2i−2i2i2i000−2i2i0000-222i−2i000000000000−2−222i2i2−i2−i20000000000002−2−i2i2
χ3722-2-2-22-222-2-220000002002-2-20000000002-22i2i−2i−2i2-200002i−2i2i−2i0000000000000000
χ3822-2-2-22-222-2-220000002002-2-20000000002-2−2i−2i2i2i2-20000−2i2i−2i2i0000000000000000
χ3922-2-2-22-222-2-220000002002-2-2000000000-222i2i−2i−2i-220000−2i2i−2i2i0000000000000000
χ4022-2-2-22-222-2-220000002002-2-2000000000-22−2i−2i2i2i-2200002i−2i2i−2i0000000000000000
χ4122-2-2-22-22-222-2000000200-22-2000002i2i−2i−2i2-20000-222i−2i2i−2i00000000000000000000
χ4222-2-2-22-22-222-2000000200-22-2000002i2i−2i−2i-2200002-2−2i2i−2i2i00000000000000000000
χ4322-2-2-22-22-222-2000000200-22-200000−2i−2i2i2i2-20000-22−2i2i−2i2i00000000000000000000
χ4422-2-2-22-22-222-2000000200-22-200000−2i−2i2i2i-2200002-22i−2i2i−2i00000000000000000000
χ45444-4-4-44-4-44-444i4i−4i−4i000−4i4i00000000000000000000000000000000000000000000
χ46444-4-4-44-4-44-44−4i−4i4i4i0004i−4i00000000000000000000000000000000000000000000
χ4744-444-4-4-444-4-400000000000000000000000000000000022−22−22220000000000000000
χ4844-444-4-4-444-4-4000000000000000000000000000000000−222222−220000000000000000
χ4944-444-4-4-4-4-444000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-444-4-4-4-4-44400000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-4-44-444-4-44000000-400-44400000000000000000000000000000000000000000
χ5244-4-4-44-44-444-4000000-4004-4400000000000000000000000000000000000000000
χ534-444-4-4-4400004-44-400000000000002i−2i2i−2i002i−2i2i−2i00000000000000000000000000
χ544-444-4-4-4400004-44-40000000000000−2i2i−2i2i00−2i2i−2i2i00000000000000000000000000
χ554-444-4-4-440000-44-4400000000000002i−2i2i−2i00−2i2i−2i2i00000000000000000000000000
χ564-444-4-4-440000-44-440000000000000−2i2i−2i2i002i−2i2i−2i00000000000000000000000000
χ574-44-444-4-400004i−4i−4i4i000000000000000000000000000000000000000002-22i−2i0000
χ584-44-444-4-400004i−4i−4i4i00000000000000000000000000000000000000000-22−2i2i0000
χ594-44-444-4-40000−4i4i4i−4i000000000000000000000000000000000000000002-2−2i2i0000
χ604-44-444-4-40000−4i4i4i−4i00000000000000000000000000000000000000000-222i−2i0000
χ614-4-4-44-444000000004-4000000000002-2-22002-2-2200000000000000000000000000
χ624-4-4-44-444000000004-400000000000-222-200-222-200000000000000000000000000
χ634-4-4-44-44400000000-44000000000002-2-2200-222-200000000000000000000000000
χ644-4-4-44-44400000000-4400000000000-222-2002-2-2200000000000000000000000000
χ658-8-88-888-8000000000000000000000000000000000000000000000000000000000

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