Finite Group Databasebeta

← Group #10944197

Character table — Group #10944197

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444444444888888888812121212121212121212121212121212161616161616161616161616242424244848
order1222223444444666222244444446612121212121212126666121212121212222244444444444488882424242424242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1
χ91111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-11-1
χ101111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-11
χ111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-1-111-11
χ121111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-11111-1-11-1
χ131111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-1111-1-1-1-11111-1-1-11
χ141111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-1-1-11111-1-1-1-1111-1
χ151111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111-1-1111-1-1-1-111-1-1111-1
χ161111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-1-1-11111-1-111-1-1-11
χ17222222222-2-2-2-222222-2-2-2-2222-2-222-2-22222-2-222-2-2-2-222-2-20000000000000000000000000000000000
χ18222222222-2-2-2-2222-2-222-2-22-2-22222-2-22222-2-2-2-222-2-2-2-2220000000000000000000000000000000000
χ192222222-2-2-2-2-2-222222-2-222-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2220000000000000000000000000000000000
χ202222222-2-2-2-2-2-2222-2-22222-222-2-222-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000000000000000000000
χ21222222-1222222-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000000
χ22222222-1222222-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000000
χ23222222-1222222-1-1-1-2-2-2-2222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111-1-11111000000000000000022-2-2-1-1-1-11111000000
χ24222222-1222222-1-1-1-2-2-2-2222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111-1-111110000000000000000-2-2221111-1-1-1-1000000
χ25222222-122-2-2-2-2-1-1-122-2-2-2-2222-2-2-1-111-1-1-1-111-1-11111-1-111000000000000000000003−33−33−33−3000000
χ26222222-122-2-2-2-2-1-1-122-2-2-2-2222-2-2-1-111-1-1-1-111-1-11111-1-11100000000000000000000−33−33−33−33000000
χ27222222-122-2-2-2-2-1-1-1-2-222-2-22-2-222-1-111-1-1-1-11111-1-11111-1-1000000000000000000003−33−3−33−33000000
χ28222222-122-2-2-2-2-1-1-1-2-222-2-22-2-222-1-111-1-1-1-11111-1-11111-1-100000000000000000000−33−333−33−3000000
χ29222222-1-2-22222-1-1-12222-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-111111100000000000000002-22-2-1-111-1-111000000
χ30222222-1-2-22222-1-1-12222-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-11111110000000000000000-22-2211-1-111-1-1000000
χ31222222-1-2-22222-1-1-1-2-2-2-2-2-2-22222-1-1-1-11111-1-1111111-1-1-1-100000000000000002-2-22-1-11111-1-1000000
χ32222222-1-2-22222-1-1-1-2-2-2-2-2-2-22222-1-1-1-11111-1-1111111-1-1-1-10000000000000000-222-211-1-1-1-111000000
χ33222222-1-2-2-2-2-2-2-1-1-122-2-222-2-2-222-1-111111111-1-111-1-111-1-1000000000000000000003−3−333−3−33000000
χ34222222-1-2-2-2-2-2-2-1-1-122-2-222-2-2-222-1-111111111-1-111-1-111-1-100000000000000000000−333−3−333−3000000
χ35222222-1-2-2-2-2-2-2-1-1-1-2-22222-222-2-2-1-11111111111-1-1-1-1-1-111000000000000000000003−3−33−333−3000000
χ36222222-1-2-2-2-2-2-2-1-1-1-2-22222-222-2-2-1-11111111111-1-1-1-1-1-11100000000000000000000−333−33−3−33000000
χ372222-2-22222-22-222200002-2-20000-2-22-222-2-22-200002-20000002200-2-2002200-2-2000000000000000000
χ382222-2-22222-22-222200002-2-20000-2-22-222-2-22-200002-2000000-2-2002200-2-20022000000000000000000
χ392222-2-2222-22-222220000-22-20000-2-2-2222-2-2-220000-2200002200-2-2002200-2-200000000000000000000
χ402222-2-2222-22-222220000-22-20000-2-2-2222-2-2-220000-220000-2-2002200-2-2002200000000000000000000
χ412222-2-22-2-22-22-22220000-2220000-2-22-2-2-2222-20000-2200000022002200-2-200-2-2000000000000000000
χ422222-2-22-2-22-22-22220000-2220000-2-22-2-2-2222-20000-22000000-2-200-2-200220022000000000000000000
χ432222-2-22-2-2-22-2222200002-220000-2-2-22-2-222-2200002-2000022002200-2-200-2-200000000000000000000
χ442222-2-22-2-2-22-2222200002-220000-2-2-22-2-222-2200002-20000-2-200-2-20022002200000000000000000000
χ452-2-222-22002-2-222-2-200000002i−2i2i−2i2-22-20000-220000002i−2i2i−2i2-200002i−2i002i−2i2-200000000000000000000
χ462-2-222-22002-2-222-2-200000002i−2i2i−2i2-22-20000-220000002i−2i2i−2i-220000−2i2i00−2i2i-2200000000000000000000
χ472-2-222-22002-2-222-2-20000000−2i2i−2i2i2-22-20000-22000000−2i2i−2i2i2-20000−2i2i00−2i2i2-200000000000000000000
χ482-2-222-22002-2-222-2-20000000−2i2i−2i2i2-22-20000-22000000−2i2i−2i2i-2200002i−2i002i−2i-2200000000000000000000
χ492-2-222-2200-222-22-2-200000002i−2i−2i2i2-2-2200002-20000002i−2i−2i2i002-22i−2i002i−2i00002-2000000000000000000
χ502-2-222-2200-222-22-2-200000002i−2i−2i2i2-2-2200002-20000002i−2i−2i2i00-22−2i2i00−2i2i0000-22000000000000000000
χ512-2-222-2200-222-22-2-20000000−2i2i2i−2i2-2-2200002-2000000−2i2i2i−2i002-2−2i2i00−2i2i00002-2000000000000000000
χ522-2-222-2200-222-22-2-20000000−2i2i2i−2i2-2-2200002-2000000−2i2i2i−2i00-222i−2i002i−2i0000-22000000000000000000
χ532-2-22-2220022-2-22-2-22-22-20000000-22220000-2-22-22-200000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ542-2-22-2220022-2-22-2-22-22-20000000-22220000-2-22-22-20000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ552-2-22-2220022-2-22-2-2-22-220000000-22220000-2-2-22-2200000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ562-2-22-2220022-2-22-2-2-22-220000000-22220000-2-2-22-220000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ572-2-22-22200-2-2222-2-22-2-220000000-22-2-20000222-2-220000002-22-200000000-22-22000000000000000000
χ582-2-22-22200-2-2222-2-22-2-220000000-22-2-20000222-2-22000000-22-22000000002-22-2000000000000000000
χ592-2-22-22200-2-2222-2-2-222-20000000-22-2-2000022-222-20000002-2-2200000000-222-2000000000000000000
χ602-2-22-22200-2-2222-2-2-222-20000000-22-2-2000022-222-2000000-222-2000000002-2-22000000000000000000
χ614444-4-4-2444-44-4-2-2-200004-4-4000022-22-2-222-220000-2200000000000000000000000000000000000000
χ624444-4-4-244-44-44-2-2-20000-44-40000222-2-2-2222-200002-200000000000000000000000000000000000000
χ634444-4-4-2-4-44-44-4-2-2-20000-444000022-2222-2-2-2200002-200000000000000000000000000000000000000
χ644444-4-4-2-4-4-44-44-2-2-200004-440000222-222-2-22-20000-2200000000000000000000000000000000000000
χ6544-4-40044i−4i0000-44-40000000000000004i−4i0000000000000000000000000000000000000000002-22i−2i00
χ6644-4-40044i−4i0000-44-40000000000000004i−4i000000000000000000000000000000000000000000-22−2i2i00
χ6744-4-4004−4i4i0000-44-4000000000000000−4i4i0000000000000000000000000000000000000000002-2−2i2i00
χ6844-4-4004−4i4i0000-44-4000000000000000−4i4i000000000000000000000000000000000000000000-222i−2i00
χ694-4-444-4-2004-4-44-22200000004i−4i4i−4i-22-2200002-2000000−2i2i−2i2i0000000000000000000000000000000000
χ704-4-444-4-2004-4-44-2220000000−4i4i−4i4i-22-2200002-20000002i−2i2i−2i0000000000000000000000000000000000
χ714-4-444-4-200-444-4-22200000004i−4i−4i4i-222-20000-22000000−2i2i2i−2i0000000000000000000000000000000000
χ724-4-444-4-200-444-4-2220000000−4i4i4i−4i-222-20000-220000002i−2i−2i2i0000000000000000000000000000000000
χ734-4-44-44-20044-4-4-2224-44-400000002-2-2-2000022-22-220000000000000000000000000000000000000000
χ744-4-44-44-20044-4-4-222-44-4400000002-2-2-20000222-22-20000000000000000000000000000000000000000
χ754-4-44-44-200-4-444-2224-4-4400000002-2220000-2-2-222-20000000000000000000000000000000000000000
χ764-4-44-44-200-4-444-222-444-400000002-2220000-2-22-2-220000000000000000000000000000000000000000
χ7788-8-800-48i−8i00004-44000000000000000−4i4i000000000000000000000000000000000000000000000000
χ7888-8-800-4−8i8i00004-440000000000000004i−4i000000000000000000000000000000000000000000000000
χ798-88-8008000000-8-8800000000000000000000000000000000000000000000000000000000000000000
χ808-88-800-400000044-400000000000000000−4i34i30000000000000000000000000000000000000000000000
χ818-88-800-400000044-4000000000000000004i3−4i30000000000000000000000000000000000000000000000

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