Finite Group Databasebeta

← Group #10824892

Character table — Group #10824892

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222233334444444444666666888888888888888812121212161616161616161616161616242424242424242424242424
order122222344446664444668888121212124444442244448888882424242488886612121212242424242424244444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-11-1-1111-1-1-1-11-1-1-1-1111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1111-1-11-1-111-1-1
χ611111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-111-1-1-111-1-111
χ711111111111111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-111
χ811111111111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-11111-1-1
χ911111111111111-1-1-1-11111111111-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-1-1-1-1-11-1-1-1-11111111
χ1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1-11111-1-1-11111
χ1211111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1311111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111111-1-11-1-111-1-1-1-1-111-111-1-111
χ1411111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1111-1-1111-1-111-1-1
χ1511111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-111-1-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-111-11111-1-1111-1-11-1-1-1-111
χ172222222-2-2-2-22222222220000-2-2-2-2-2-2-2-2220000002i−2i0000000000000000002i−2i00000000002i−2i0000
χ182222222-2-2-2-22222222220000-2-2-2-2-2-2-2-222000000−2i2i000000000000000000−2i2i0000000000−2i2i0000
χ192222222-2-2-2-2222-2-2-2-2220000-2-2-2-22222-2-20000002i−2i0000000000000000002i−2i0000000000−2i2i0000
χ202222222-2-2-2-2222-2-2-2-2220000-2-2-2-22222-2-2000000−2i2i000000000000000000−2i2i00000000002i−2i0000
χ21222222-12222-1-1-10000-1-12222-1-1-1-1000000222222222222-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-12222-1-1-10000-1-12222-1-1-1-10000002222-2-2-2-2-2-2-2-2-1-1-1-10000-1-11-1-11111111000000000000
χ23222222-12222-1-1-10000-1-12222-1-1-1-1000000-2-2-2-22222-2-2-2-2-1-1-1-1000011-111-1-1-11111000000000000
χ24222222-12222-1-1-10000-1-12222-1-1-1-1000000-2-2-2-2-2-2-2-22222-1-1-1-1000011111111-1-1-1-1000000000000
χ25222222-12222-1-1-10000-1-1-2-2-2-2-1-1-1-100000022-2-222-2-222-2-211110000-1-1-111-111-1-111000000000000
χ26222222-12222-1-1-10000-1-1-2-2-2-2-1-1-1-100000022-2-2-2-222-2-22211110000-1-11111-1-111-1-1000000000000
χ27222222-12222-1-1-10000-1-1-2-2-2-2-1-1-1-1000000-2-22222-2-2-2-2221111000011-1-1-1-11111-1-1000000000000
χ28222222-12222-1-1-10000-1-1-2-2-2-2-1-1-1-1000000-2-222-2-22222-2-211110000111-1-11-1-1-1-111000000000000
χ292222-2-222-22-22222222-2-200002-22-222-2-2-2-200002-20000000000000000-2002000000-200002000000
χ302222-2-222-22-22222222-2-200002-22-222-2-2-2-20000-220000000000000000200-200000020000-2000000
χ312222-2-222-22-2222-2-2-2-2-2-200002-22-2-2-2222200002-20000000000000000-200200000020000-2000000
χ322222-2-222-22-2222-2-2-2-2-2-200002-22-2-2-222220000-220000000000000000200-2000000-200002000000
χ332222-2-22-22-222222222-2-222-2-2-22-22-2-222-2-200000000000022-2-222-2-2000000000000000000000000
χ342222-2-22-22-222222222-2-2-2-222-22-22-2-222-2-2000000000000-2-222-2-222000000000000000000000000
χ352222-2-22-22-22222-2-2-2-2-2-222-2-2-22-2222-2-22200000000000022-2-2-2-222000000000000000000000000
χ362222-2-22-22-22222-2-2-2-2-2-2-2-222-22-2222-2-222000000000000-2-22222-2-2000000000000000000000000
χ372-22-22-2222-2-22-2-22i2i−2i−2i2-20000-2-2222i−2i2i−2i2i−2i00000000002-20000000000000000002-200000000002i−2i
χ382-22-22-2222-2-22-2-22i2i−2i−2i2-20000-2-2222i−2i2i−2i2i−2i0000000000-22000000000000000000-220000000000−2i2i
χ392-22-22-2222-2-22-2-2−2i−2i2i2i2-20000-2-222−2i2i−2i2i−2i2i00000000002-20000000000000000002-20000000000−2i2i
χ402-22-22-2222-2-22-2-2−2i−2i2i2i2-20000-2-222−2i2i−2i2i−2i2i0000000000-22000000000000000000-2200000000002i−2i
χ412-22-22-22-2-2222-2-22i2i−2i−2i2-2000022-2-2−2i2i−2i2i2i−2i2-20000000000000000002-2000000000002i−2i000000000
χ422-22-22-22-2-2222-2-22i2i−2i−2i2-2000022-2-2−2i2i−2i2i2i−2i-22000000000000000000-2200000000000−2i2i000000000
χ432-22-22-22-2-2222-2-2−2i−2i2i2i2-2000022-2-22i−2i2i−2i−2i2i2-20000000000000000002-200000000000−2i2i000000000
χ442-22-22-22-2-2222-2-2−2i−2i2i2i2-2000022-2-22i−2i2i−2i−2i2i-22000000000000000000-22000000000002i−2i000000000
χ452-22-2-2222-2-222-2-22i2i−2i−2i-220000-222-22i−2i−2i2i−2i2i002i−2i00000000000000000002i−2i00000000002-20000000
χ462-22-2-2222-2-222-2-22i2i−2i−2i-220000-222-22i−2i−2i2i−2i2i00−2i2i0000000000000000000−2i2i0000000000-220000000
χ472-22-2-2222-2-222-2-2−2i−2i2i2i-220000-222-2−2i2i2i−2i2i−2i002i−2i00000000000000000002i−2i0000000000-220000000
χ482-22-2-2222-2-222-2-2−2i−2i2i2i-220000-222-2−2i2i2i−2i2i−2i00−2i2i0000000000000000000−2i2i00000000002-20000000
χ492-22-2-222-222-22-2-22i2i−2i−2i-2200002-2-22−2i2i2i−2i−2i2i000000002i−2i0000000000000000002i−2i00000000002-200
χ502-22-2-222-222-22-2-22i2i−2i−2i-2200002-2-22−2i2i2i−2i−2i2i00000000−2i2i000000000000000000−2i2i0000000000-2200
χ512-22-2-222-222-22-2-2−2i−2i2i2i-2200002-2-222i−2i−2i2i2i−2i000000002i−2i0000000000000000002i−2i0000000000-2200
χ522-22-2-222-222-22-2-2−2i−2i2i2i-2200002-2-222i−2i−2i2i2i−2i00000000−2i2i000000000000000000−2i2i00000000002-200
χ53444444-2-4-4-4-4-2-2-20000-2-2000022220000000000004i−4i000000000000000000−2i2i0000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-200002222000000000000−4i4i0000000000000000002i−2i0000000000000000
χ554444-4-4-24-44-4-2-2-20000220000-22-2200000000004-40000000000000000200-2000000000000000000
χ564444-4-4-24-44-4-2-2-20000220000-22-220000000000-440000000000000000-2002000000000000000000
χ574444-4-4-2-44-44-2-2-200002244-4-42-22-2000000000000000000-2-2220000000000000000000000000000
χ584444-4-4-2-44-44-2-2-2000022-4-4442-22-200000000000000000022-2-20000000000000000000000000000
χ5944-4-40040000-4-444i−4i4i−4i000022−2200000000000000000000000022−22002i2−2i2000000000000000000000000
χ6044-4-40040000-4-444i−4i4i−4i0000−2222000000000000000000000000−222200−2i22i2000000000000000000000000
χ6144-4-40040000-4-44−4i4i−4i4i000022−2200000000000000000000000022−2200−2i22i2000000000000000000000000
χ6244-4-40040000-4-44−4i4i−4i4i0000−2222000000000000000000000000−2222002i2−2i2000000000000000000000000
χ634-44-44-4-244-4-4-2220000-22000022-2-200000000000000004-4000000000000000000-22000000000000
χ644-44-44-4-244-4-4-2220000-22000022-2-20000000000000000-440000000000000000002-2000000000000
χ654-44-44-4-2-4-444-2220000-220000-2-2220000004-4000000000000000000-220000000000000000000000
χ664-44-44-4-2-4-444-2220000-220000-2-222000000-440000000000000000002-20000000000000000000000
χ674-44-4-44-24-4-44-22200002-200002-2-22000000004i−4i0000000000000000000−2i2i0000000000000000000
χ684-44-4-44-24-4-44-22200002-200002-2-2200000000−4i4i00000000000000000002i−2i0000000000000000000
χ694-44-4-44-2-444-4-22200002-20000-222-2000000000000004i−4i000000000000000000−2i2i00000000000000
χ704-44-4-44-2-444-4-22200002-20000-222-200000000000000−4i4i0000000000000000002i−2i00000000000000
χ714-4-440040000-44-44-4-44002i2−2i20000000000000000000000002i2−2i2002i2−2i200000000000000000000000000
χ724-4-440040000-44-44-4-4400−2i22i2000000000000000000000000−2i22i200−2i22i200000000000000000000000000
χ734-4-440040000-44-4-444-4002i2−2i20000000000000000000000002i2−2i200−2i22i200000000000000000000000000
χ744-4-440040000-44-4-444-400−2i22i2000000000000000000000000−2i22i2002i2−2i200000000000000000000000000
χ7588-8-800-4000044-40000000042−42000000000000000000000000−22220000000000000000000000000000
χ7688-8-800-4000044-400000000−424200000000000000000000000022−220000000000000000000000000000
χ778-8-8800-400004-440000004i2−4i2000000000000000000000000−2i22i2000000000000000000000000000000
χ788-8-8800-400004-44000000−4i24i20000000000000000000000002i2−2i2000000000000000000000000000000

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