Finite Group Databasebeta

← Group #10944194

Character table — Group #10944194

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444444444668888888888888888881212121212121212121212121212121616161616161616162424484848
order12222234444666222244444444661212121244446666121212121212121212121212222244444444444266882424242444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1111111111-1-1
χ911111111111111-1-1-1-111-1-111-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1111-1-1-1-111-1-1-1-1-11-111-1-111-11-1
χ1011111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-1111-11-1-111-1-11-11
χ1111111111111111-1-1-1-111-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-11111-1-111-1-1-11-111-1-1-1-11-11
χ1211111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111111-11-1-11111-11-1
χ1311111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-1-1-111-1-1-1-11-1-11111-1-11
χ1411111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1111111-111-1-1-1-111-1
χ1511111111111111-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-11-1-111-1-111-1
χ1611111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111111-1-11111-111-1-111-1-11
χ172222222-2-2-2-222222-2-20000000022-2-2-2-2220022-2-20000000000000000-2-2222-2-2000000000000000000
χ182222222-2-2-2-222222-2-20000000022-2-2-2-2-2-20022-2-2000000000000000022-2-2-222000000000000000000
χ192222222-2-2-2-2222-2-2220000000022-2-2-2-22200-2-2220000000000000000-2-22-2-222000000000000000000
χ202222222-2-2-2-2222-2-2220000000022-2-2-2-2-2-200-2-222000000000000000022-222-2-2000000000000000000
χ21222222-12222-1-1-1222222222222-1-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000002-1-122-1-1-1-100000
χ22222222-12222-1-1-1222222222222-1-1-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000-211-2-2111100000
χ23222222-12222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10022-1-1-1-111111111-1-1-1-10000000000000002-1-1-2-2111100000
χ24222222-12222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-100-2-2-1-1-1-1111111111111000000000000000-21122-1-1-1-100000
χ25222222-12222-1-1-1-2-2-2-222-2-222-2-2-1-1-1-1-1-100221111-1-1-1-11111-1-1-1-1000000000000000-2112-2-1-11100000
χ26222222-12222-1-1-1-2-2-2-222-2-222-2-2-1-1-1-1-1-100-2-21111-1-1-1-1111111110000000000000002-1-1-2211-1-100000
χ27222222-12222-1-1-1-2-2-2-2-2-222-2-222-1-1-1-1-1-1002211111111-1-1-1-1-1-1-1-1000000000000000-211-2211-1-100000
χ28222222-12222-1-1-1-2-2-2-2-2-222-2-222-1-1-1-1-1-100-2-211111111-1-1-1-111110000000000000002-1-12-2-1-11100000
χ292222-2-222-22-22220000002200-2-2-2-22-22-222000000000022-2-2000000-2-22-2-20000002200000000000000
χ302222-2-222-22-22220000002200-2-2-2-22-22-2-2-2000000000022-2-200000022-222000000-2-200000000000000
χ312222-2-222-22-2222000000-2-20022-2-22-22-2220000000000-2-222000000222-2-2000000-2-200000000000000
χ322222-2-222-22-2222000000-2-20022-2-22-22-2-2-20000000000-2-222000000-2-2-2220000002200000000000000
χ332222-2-22-22-2222200002200-2-200-2-2-22-222200000022-2-200000000-2-200-22-20000220000000000000000
χ342222-2-22-22-2222200002200-2-200-2-2-22-22-2-200000022-2-20000000022002-220000-2-20000000000000000
χ352222-2-22-22-222220000-2-2002200-2-2-22-2222000000-2-222000000002200-22-20000-2-20000000000000000
χ362222-2-22-22-222220000-2-2002200-2-2-22-22-2-2000000-2-22200000000-2-2002-220000220000000000000000
χ372-2-222-222-2-222-2-20000002i−2i002i−2i2-22-2-220000000000002i−2i2i−2i00002-2000002i−2i2i−2i2-20000000000000000
χ382-2-222-222-2-222-2-20000002i−2i002i−2i2-22-2-220000000000002i−2i2i−2i0000-2200000−2i2i−2i2i-220000000000000000
χ392-2-222-222-2-222-2-2000000−2i2i00−2i2i2-22-2-22000000000000−2i2i−2i2i00002-200000−2i2i−2i2i2-20000000000000000
χ402-2-222-222-2-222-2-2000000−2i2i00−2i2i2-22-2-22000000000000−2i2i−2i2i0000-22000002i−2i2i−2i-220000000000000000
χ412-2-222-22-222-22-2-200002i−2i002i−2i002-2-222-2000000002i−2i2i−2i00000000002-20002i−2i−2i2i002-200000000000000
χ422-2-222-22-222-22-2-200002i−2i002i−2i002-2-222-2000000002i−2i2i−2i0000000000-22000−2i2i2i−2i00-2200000000000000
χ432-2-222-22-222-22-2-20000−2i2i00−2i2i002-2-222-200000000−2i2i−2i2i00000000002-2000−2i2i2i−2i002-200000000000000
χ442-2-222-22-222-22-2-20000−2i2i00−2i2i002-2-222-200000000−2i2i−2i2i0000000000-220002i−2i−2i2i00-2200000000000000
χ452-2-22-22222-2-22-2-22-22-22i−2i2i−2i−2i2i−2i2i-2222-2-200002-22-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000
χ462-2-22-22222-2-22-2-22-22-2−2i2i−2i2i2i−2i2i−2i-2222-2-200002-22-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000
χ472-2-22-22222-2-22-2-2-22-222i−2i−2i2i−2i2i2i−2i-2222-2-20000-22-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000
χ482-2-22-22222-2-22-2-2-22-22−2i2i2i−2i2i−2i−2i2i-2222-2-20000-22-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000
χ492-2-22-222-2-2222-2-22-2-2200000000-22-2-22200002-2-220000000000002-22-20000000-22-2200000000000000
χ502-2-22-222-2-2222-2-22-2-2200000000-22-2-22200002-2-22000000000000-22-2200000002-22-200000000000000
χ512-2-22-222-2-2222-2-2-222-200000000-22-2-2220000-222-20000000000002-2-220000000-222-200000000000000
χ522-2-22-222-2-2222-2-2-222-200000000-22-2-2220000-222-2000000000000-222-200000002-2-2200000000000000
χ532-2-22-22-122-2-2-1112-22-22i−2i2i−2i−2i2i−2i2i1-1-1-1110000-11-11−iii−i−iii−i−i3−i3i3i30000000000000000−i3i3003−33−300000
χ542-2-22-22-122-2-2-1112-22-22i−2i2i−2i−2i2i−2i2i1-1-1-1110000-11-11−iii−i−iii−ii3i3−i3−i30000000000000000i3−i300−33−3300000
χ552-2-22-22-122-2-2-1112-22-2−2i2i−2i2i2i−2i2i−2i1-1-1-1110000-11-11i−i−iii−i−ii−i3−i3i3i30000000000000000−i3i300−33−3300000
χ562-2-22-22-122-2-2-1112-22-2−2i2i−2i2i2i−2i2i−2i1-1-1-1110000-11-11i−i−iii−i−iii3i3−i3−i30000000000000000i3−i3003−33−300000
χ572-2-22-22-122-2-2-111-22-222i−2i−2i2i−2i2i2i−2i1-1-1-11100001-11-1−iii−ii−i−ii−i3−i3i3i30000000000000000i3−i3003−3−3300000
χ582-2-22-22-122-2-2-111-22-222i−2i−2i2i−2i2i2i−2i1-1-1-11100001-11-1−iii−ii−i−iii3i3−i3−i30000000000000000−i3i300−333−300000
χ592-2-22-22-122-2-2-111-22-22−2i2i2i−2i2i−2i−2i2i1-1-1-11100001-11-1i−i−ii−iii−i−i3−i3i3i30000000000000000i3−i300−333−300000
χ602-2-22-22-122-2-2-111-22-22−2i2i2i−2i2i−2i−2i2i1-1-1-11100001-11-1i−i−ii−iii−ii3i3−i3−i30000000000000000−i3i3003−3−3300000
χ61444444-2-4-4-4-4-2-2-244-4-400000000-2-222220000-2-22200000000000000000000000000000000000000000
χ62444444-2-4-4-4-4-2-2-2-4-44400000000-2-22222000022-2-200000000000000000000000000000000000000000
χ634444-4-4-24-44-4-2-2-20000004400-4-422-22-22000000000000-2-222000000000000000000000000000000000
χ644444-4-4-24-44-4-2-2-2000000-4-4004422-22-2200000000000022-2-2000000000000000000000000000000000
χ654444-4-4-2-44-44-2-2-200004400-4-400222-22-200000000-2-2220000000000000000000000000000000000000
χ664444-4-4-2-44-44-2-2-20000-4-4004400222-22-20000000022-2-20000000000000000000000000000000000000
χ6744-4-40040000-44-40000000000000000004i−4i2-20000000000002-22-20000000000000000000000002i−2i000
χ6844-4-40040000-44-40000000000000000004i−4i-22000000000000-22-22000000000000000000000000−2i2i000
χ6944-4-40040000-44-4000000000000000000−4i4i2-20000000000002-22-2000000000000000000000000−2i2i000
χ7044-4-40040000-44-4000000000000000000−4i4i-22000000000000-22-220000000000000000000000002i−2i000
χ714-4-444-4-24-4-44-2220000004i−4i004i−4i-22-222-2000000000000−2i2i−2i2i000000000000000000000000000000000
χ724-4-444-4-24-4-44-222000000−4i4i00−4i4i-22-222-20000000000002i−2i2i−2i000000000000000000000000000000000
χ734-4-444-4-2-444-4-22200004i−4i004i−4i00-222-2-2200000000−2i2i−2i2i0000000000000000000000000000000000000
χ744-4-444-4-2-444-4-2220000−4i4i00−4i4i00-222-2-22000000002i−2i2i−2i0000000000000000000000000000000000000
χ754-4-44-44-2-4-444-2224-4-44000000002-222-2-20000-222-200000000000000000000000000000000000000000
χ764-4-44-44-2-4-444-222-444-4000000002-222-2-200002-2-2200000000000000000000000000000000000000000
χ7788-8-800-400004-44000000000000000000004-4000000000000-22-2200000000000000000000000000000
χ7888-8-800-400004-4400000000000000000000-440000000000002-22-200000000000000000000000000000
χ798-88-80080000-8-880000000000000000000000000000000000000000000000000000000000000000000
χ808-88-800-4000044-40000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ818-88-800-4000044-400000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000

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