Finite Group Databasebeta

← Group #10909534

Character table — Group #10909534

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111111112222222222224444448888888888888888888121216161616161616161616162424242424242424242424242448
order1222222234444666666622121212124446688881212242424242424242444444121212121212121224444444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11
χ41111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111111111-1
χ511111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1
χ611111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ711111111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-11111111-1-11111-1-1-1-1-1
χ811111111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-111111
χ911111111111111111111-1-1111111-1-1-111-1-1-1-11111-1-1-1-111-1-1111-1-111-1-1-11-11111-1-1-1-111-1
χ1011111111111111111111-1-1111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-11-11-1-1-1-11111-1-11
χ1111111111111111111111-1-1111111-1-1-1-1-111-1-1-1-1-1-1111111-11-111-1-1-1-111-11-111-1-11111-1-1-1
χ1211111111111111111111-1-1111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-11-111-1-1-1-1111-11-1-111-1-1-1-1111
χ1311111111111111111111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-11-1-1-1-1-111-1-1111
χ1411111111111111111111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1111-111111-1-111-1-1-1
χ1511111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111111-11-1-11111-1-1-11-1-1-111-1-111-1-11
χ1611111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-11-1-11111-1-11-1111-1-111-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-200-2220000-2-2000000002200000000000-2-2200000000000
χ18222222222-2-2-2-2222222222-2-2-2-200-2220000-2-200000000-2-20000000000022-200000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-2002-2-20000220000000022000000000002-2-200000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-2002-2-200002200000000-2-200000000000-22200000000000
χ2122222222-12222-1-1-1-1-1-1-122-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-100222-1-1-1-1-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-1222-1-1-2-2-2-2-1-111111111002-2-2-1-1-1-1111100000000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-22-1-12222-1-1-1-1-1-1-1-1-1-100-2-2-21111111100000000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-22-1-1-2-2-2-2-1-11111111100-2221111-1-1-1-100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-21122-2-211-1-1-1-1111100-2-22-1-111-1-11100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-211-2-222111111-1-1-1-100-22-2-1-11111-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-21122-2-211-1-1-1-111110022-211-1-111-1-100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-211-2-222111111-1-1-1-1002-2211-1-1-1-11100000000000000
χ29222-2-2-2-22222-2-22-222-2-2-2002-22-22i−2i00000000000000000000002i−2i000000000002-200002i−2i0
χ30222-2-2-2-22222-2-22-222-2-2-2002-22-22i−2i00000000000000000000002i−2i00000000000-220000−2i2i0
χ31222-2-2-2-22222-2-22-222-2-2-2002-22-2−2i2i0000000000000000000000−2i2i000000000002-20000−2i2i0
χ32222-2-2-2-22222-2-22-222-2-2-2002-22-2−2i2i0000000000000000000000−2i2i00000000000-2200002i−2i0
χ332-2-22-2-2222-22-22-2-22-222-200-2-22200000002-200000022-2-200000000000000002-2002-200000
χ342-2-22-2-2222-22-22-2-22-222-200-2-22200000002-200000022-2-20000000000000000-2200-2200000
χ352-2-22-2-2222-22-22-2-22-222-200-2-2220000000-22000000-2-22200000000000000002-200-2200000
χ362-2-22-2-2222-22-22-2-22-222-200-2-2220000000-22000000-2-2220000000000000000-22002-200000
χ3744444444-2-4-4-4-4-2-2-2-2-2-2-244222200-4-2-200002200000000000000000000000000000000000
χ3844444444-2-4-4-4-4-2-2-2-2-2-2-2-4-42222004220000-2-200000000000000000000000000000000000
χ39444-4-4-4-444-4-4444-444-4-4-400-44-440000000000000000000000000000000000000000000000
χ40444-4-4-4-44-244-4-4-22-2-222200-22-224i−4i0000000000000000000000−2i2i00000000000000000000
χ41444-4-4-4-44-244-4-4-22-2-222200-22-22−4i4i00000000000000000000002i−2i00000000000000000000
χ42444-4-4-4-44-2-4-444-22-2-2222002-22-20000000000000000000000000023−23000000000000000000
χ43444-4-4-4-44-2-4-444-22-2-2222002-22-200000000000000000000000000−2323000000000000000000
χ4444-44-44-4-4400004-4-4-44-444-400000004-400000000000000000000000000000000000000000
χ4544-44-44-4-4400004-4-4-44-44-440000000-4400000000000000000000000000000000000000000
χ4644-44-44-4-4-20000-2222-22-24-40000000-2200000066−6−66−66−6000000000000000000000000000
χ4744-44-44-4-4-20000-2222-22-24-40000000-22000000−6−666−66−66000000000000000000000000000
χ4844-44-44-4-4-20000-2222-22-2-4400000002-200000066−6−6−66−66000000000000000000000000000
χ4944-44-44-4-4-20000-2222-22-2-4400000002-2000000−6−6666−66−6000000000000000000000000000
χ5044-4-44-44-44000044-4-4-44-40000000000000000000000000000000000000000000000022−22000
χ5144-4-44-44-44000044-4-4-44-400000000000000000000000000000000000000000000000−2222000
χ524-4444-4-4-440000-44-444-4-40000000000022−22000022−2222−220000000000000000000000000000000
χ534-4444-4-4-440000-44-444-4-400000000000−22220000−2222−22220000000000000000000000000000000
χ544-4444-4-4-4-200002-22-2-2220000000000022−220023−23−22−226−6−66000000000000000000000000000
χ554-4444-4-4-4-200002-22-2-2220000000000022−2200−2323−22−22−666−6000000000000000000000000000
χ564-4444-4-4-4-200002-22-2-22200000000000−22220023−232−22−2−666−6000000000000000000000000000
χ574-4444-4-4-4-200002-22-2-22200000000000−222200−23232−22−26−6−66000000000000000000000000000
χ584-44-4-444-440000-4-4-44-44400000000000000000000000004i−4i0000000000000000000000000
χ594-44-4-444-440000-4-4-44-4440000000000000000000000000−4i4i0000000000000000000000000
χ604-4-44-4-44444-44-4-4-44-444-40044-4-40000000000000000000000000000000000000000000000
χ614-4-44-4-444-24-44-422-22-2-2200-2-2220000000000023−23−23230000000000000000000000000000000
χ624-4-44-4-444-24-44-422-22-2-2200-2-22200000000000−232323−230000000000000000000000000000000
χ634-4-44-4-444-2-44-4422-22-2-220022-2-200000004-4000000-2-222000000000000000000000000000
χ644-4-44-4-444-2-44-4422-22-2-220022-2-20000000-4400000022-2-2000000000000000000000000000
χ654-4-4-444-4444-4-44-444-4-4-44004-4-440000000000000000000000000000000000000000000000
χ664-4-4-444-444-444-4-444-4-4-4400-444-40000000000000000000000000000000000000000000000
χ674-4-4-444-44-24-4-442-2-2222-200-222-2000000000000000000000000000023−230000000000000000
χ684-4-4-444-44-24-4-442-2-2222-200-222-20000000000000000000000000000−23230000000000000000
χ694-4-4-444-44-2-444-42-2-2222-2002-2-2200000000000000000000000000000023−2300000000000000
χ704-4-4-444-44-2-444-42-2-2222-2002-2-22000000000000000000000000000000−232300000000000000
χ7188-8-88-88-8-40000-4-4444-440000000000000000000000000000000000000000000000000000
χ728-88-8-888-8-40000444-44-4-40000000000000000000000000000000000000000000000000000

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