Finite Group Databasebeta

← Group #10829238

Character table — Group #10829238

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222444444444444448888888888888888888888888881212121212121616161616242424242424242424242448
order1222222234444666666644444412121212121212122444466888812121212121212122424242424242424444444412121212222224488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-1-1
χ41111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ5111111111111111111111111-1-111-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-11111-111-1-111-1-1-1
χ6111111111111111111111111-1-111-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-111-1-1111
χ7111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1-1-1-1-1-1111
χ8111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-11111111-1-1-1
χ911111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-11
χ1011111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1111111-1
χ1111111111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1
χ1211111111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11
χ1311111111111111111111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-1-11111-1-111-1
χ1411111111111111111111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-111111-1-1-1-111-1-11
χ1511111111111111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111111-1-1-1-1-1-1-11111-1-11
χ1611111111111111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-111-1
χ17222222222-2-2-2-22222222000022-2-22222-2-2-20000-2-2000000000000000000002222-2-20000000-2000000000
χ18222222222-2-2-2-22222222000022-2-22222-2-2-20000-2-200000000000000000000-2-2-2-22200000002000000000
χ19222222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-220000220000000000000000000022-2-2-2-200000002000000000
χ20222222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-2200002200000000000000000000-2-222220000000-2000000000
χ2122222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111000000-21111000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-1-11111-1-1-2-2-2221122-2-2-1-1-1-11111-1-1-1-11111000000-211-1-1000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-1-11111-1-1-2-2-2-2-211-2-222-1-1-1-111111111-1-1-1-10000002-1-111000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-2-222-1-1-2-2-2-211111111111111110000002-1-1-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-2-2-2-2-1-1222211111111-1-1-1-1-1-1-1-1000000-21111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-11111-1-1-2222211-2-2221111-1-1-1-11111-1-1-1-1000000-211-1-1000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-11111-1-1-222-2-21122-2-21111-1-1-1-1-1-1-1-111110000002-1-111000000000000
χ29222-22-2-2-22-22-2222-22-2-2-22i2i−2i−2i00-2-20000220002i−2i002-2002i2i−2i−2i000022-2-200000000000002i−2i000000000000
χ30222-22-2-2-22-22-2222-22-2-2-22i2i−2i−2i00-2-2000022000−2i2i00-22002i2i−2i−2i0000-2-2220000000000000−2i2i000000000000
χ31222-22-2-2-22-22-2222-22-2-2-2−2i−2i2i2i00-2-20000220002i−2i00-2200−2i−2i2i2i0000-2-22200000000000002i−2i000000000000
χ32222-22-2-2-22-22-2222-22-2-2-2−2i−2i2i2i00-2-2000022000−2i2i002-200−2i−2i2i2i000022-2-20000000000000−2i2i000000000000
χ33222-22-2-2-2-1-22-22-1-11-11112i2i−2i−2i0011−i3−i3i3i3-1-10002i−2i−i3i32-200−i−iii33−3−3-1-111−i3−i3i3i300000003−3−ii000000000000
χ34222-22-2-2-2-1-22-22-1-11-11112i2i−2i−2i0011−i3−i3i3i3-1-1000−2i2i−i3i3-2200−i−iii33−3−311-1-1i3i3−i3−i30000000−33i−i000000000000
χ35222-22-2-2-2-1-22-22-1-11-11112i2i−2i−2i0011i3i3−i3−i3-1-10002i−2ii3−i32-200−i−iii−3−333-1-111i3i3−i3−i30000000−33−ii000000000000
χ36222-22-2-2-2-1-22-22-1-11-11112i2i−2i−2i0011i3i3−i3−i3-1-1000−2i2ii3−i3-2200−i−iii−3−33311-1-1−i3−i3i3i300000003−3i−i000000000000
χ37222-22-2-2-2-1-22-22-1-11-1111−2i−2i2i2i0011−i3−i3i3i3-1-10002i−2i−i3i3-2200ii−i−i−3−33311-1-1i3i3−i3−i300000003−3−ii000000000000
χ38222-22-2-2-2-1-22-22-1-11-1111−2i−2i2i2i0011−i3−i3i3i3-1-1000−2i2i−i3i32-200ii−i−i−3−333-1-111−i3−i3i3i30000000−33i−i000000000000
χ39222-22-2-2-2-1-22-22-1-11-1111−2i−2i2i2i0011i3i3−i3−i3-1-10002i−2ii3−i3-2200ii−i−i33−3−311-1-1−i3−i3i3i30000000−33−ii000000000000
χ40222-22-2-2-2-1-22-22-1-11-1111−2i−2i2i2i0011i3i3−i3−i3-1-1000−2i2ii3−i32-200ii−i−i33−3−3-1-111i3i3−i3−i300000003−3i−i000000000000
χ412-2-222-22-2222-2-2-2-2222-2-22i−2i2i−2i002-200002-2000000000002i−2i2i−2i000000000000000000000000002-2002i−2i000
χ422-2-222-22-2222-2-2-2-2222-2-22i−2i2i−2i002-200002-2000000000002i−2i2i−2i00000000000000000000000000-2200−2i2i000
χ432-2-222-22-2222-2-2-2-2222-2-2−2i2i−2i2i002-200002-200000000000−2i2i−2i2i000000000000000000000000002-200−2i2i000
χ442-2-222-22-2222-2-2-2-2222-2-2−2i2i−2i2i002-200002-200000000000−2i2i−2i2i00000000000000000000000000-22002i−2i000
χ452-2-2-222-2222-2-22-2-2-22-2220000002-20000-2202-20000000000002-22-2000000002-2002-200000000002-200000
χ462-2-2-222-2222-2-22-2-2-22-2220000002-20000-2202-20000000000002-22-200000000-2200-220000000000-2200000
χ472-2-2-222-2222-2-22-2-2-22-2220000002-20000-220-22000000000000-22-22000000002-2002-20000000000-2200000
χ482-2-2-222-2222-2-22-2-2-22-2220000002-20000-220-22000000000000-22-2200000000-2200-2200000000002-200000
χ492-2-2-222-222-222-2-2-2-22-2222-2-2200-2200002-2000000000002-2-220000000000002-200-22000002-20000000000
χ502-2-2-222-222-222-2-2-2-22-2222-2-2200-2200002-2000000000002-2-22000000000000-22002-200000-220000000000
χ512-2-2-222-222-222-2-2-2-22-222-222-200-2200002-200000000000-222-20000000000002-200-2200000-220000000000
χ522-2-2-222-222-222-2-2-2-22-222-222-200-2200002-200000000000-222-2000000000000-22002-2000002-20000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-200004422-2-2-2-222-40000220000000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-20000-4-42222222240000-2-20000000000000000000000000000000000000000000
χ55444-44-4-4-444-44-444-44-4-4-4000000440000-4-400000000000000000000000000000000000000000000000000
χ56444-44-4-4-4-24-44-4-2-22-2222000000-2-2−2i3−2i32i32i322000002i3−2i30000000000000000000000000000000000000000000
χ57444-44-4-4-4-24-44-4-2-22-2222000000-2-22i32i3−2i3−2i32200000−2i32i30000000000000000000000000000000000000000000
χ5844-44-44-4-4400004-4-4-444-400004i−4i004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ5944-44-44-4-4400004-4-4-444-40000−4i4i00−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ6044-44-44-4-4-20000-2222-2-2200004i−4i00−2i2i−2i2i0000000000000000000006−66−6i6−i6i6−i600000000000000000000000
χ6144-44-44-4-4-20000-2222-2-2200004i−4i00−2i2i−2i2i000000000000000000000−66−66−i6i6−i6i600000000000000000000000
χ6244-44-44-4-4-20000-2222-2-220000−4i4i002i−2i2i−2i0000000000000000000006−66−6−i6i6−i6i600000000000000000000000
χ6344-44-44-4-4-20000-2222-2-220000−4i4i002i−2i2i−2i000000000000000000000−66−66i6−i6i6−i600000000000000000000000
χ6444-4-4-4-444400004-44-4-4-440000000000000000000000022−2200000000000022−22−222200000000000000000000000
χ6544-4-4-4-444400004-44-4-4-4400000000000000000000000−2222000000000000−222222−2200000000000000000000000
χ6644-4-4-4-444-20000-22-2222-20000000023−23−23230000000000022−2200000000−666−6−222−200000000000000000000000
χ6744-4-4-4-444-20000-22-2222-20000000023−23−232300000000000−2222000000006−6−662−2−2200000000000000000000000
χ6844-4-4-4-444-20000-22-2222-200000000−232323−230000000000022−22000000006−6−66−222−200000000000000000000000
χ6944-4-4-4-444-20000-22-2222-200000000−232323−2300000000000−222200000000−666−62−2−2200000000000000000000000
χ704-444-4-4-4440000-44-4-44-44000000000000000000000000000000000000000000000000000000000000022−220
χ714-444-4-4-4440000-44-4-44-440000000000000000000000000000000000000000000000000000000000000−22220
χ724-44-4-444-440000-444-4-44-400000000000000000000000000000000000000000004i−4i0000000000000000000
χ734-44-4-444-440000-444-4-44-40000000000000000000000000000000000000000000−4i4i0000000000000000000
χ744-4-444-44-44-4-444-4-4444-4-4000000-440000-4400000000000000000000000000000000000000000000000000
χ754-4-444-44-4-244-4-422-2-2-2224i−4i4i−4i00-220000-2200000000000−2i2i−2i2i00000000000000000000000000000000000
χ764-4-444-44-4-244-4-422-2-2-222−4i4i−4i4i00-220000-22000000000002i−2i2i−2i00000000000000000000000000000000000
χ774-4-444-44-4-2-4-44422-2-2-2220000002-200002-200000000000000023−23−23230000000000000000000000000000000
χ784-4-444-44-4-2-4-44422-2-2-2220000002-200002-2000000000000000−232323−230000000000000000000000000000000
χ794-4-4-444-44-24-4-44222-22-2-2000000-2200002-204-4000000000000-22-220000000000000000000000000000000
χ804-4-4-444-44-24-4-44222-22-2-2000000-2200002-20-440000000000002-22-20000000000000000000000000000000
χ814-4-4-444-44-2-444-4222-22-2-24-4-44002-20000-2200000000000-222-200000000000000000000000000000000000
χ824-4-4-444-44-2-444-4222-22-2-2-444-4002-20000-22000000000002-2-2200000000000000000000000000000000000
χ838-888-8-8-88-400004-444-44-40000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-888-8-400004-4-444-440000000000000000000000000000000000000000000000000000000000000000

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