Finite Group Databasebeta

← Group #10944193

Character table — Group #10944193

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444444444668888888888888888881212121212121212121212121212121616161616161616162424484848
order1222223444466622444444444466121212124444661212121212121212121212121212222222444444444266882424242444488
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
χ51111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-11-111-1-111-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-11-1-111-1-11-11
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-11-111-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-11-1-11111-11-1
χ911111111111111-1-11111-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-11-1-111-1-1-1-11-1-11111-1-11
χ1011111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1111111-111-1-1-1-111-1
χ1111111111111111-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-11111-1-111-111-1-1-1-1-1-11-1-111-1-111-1
χ1211111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11111-111-1-111-1-11
χ1311111111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-11-1-1-1-1111-1-1-1-1-1-1111-1-1
χ1411111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1-1111111-1-1-111
χ1511111111111111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-1-111
χ1611111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11111-1-1-1111111111-1-1
χ172222222-2-2-2-222200000022-2-20022-2-2-2-222000000000022-2-200000022-2-2-2-2002000000000000000000
χ182222222-2-2-2-222200000022-2-20022-2-2-2-2-2-2000000000022-2-2000000-2-2222200-2000000000000000000
χ192222222-2-2-2-2222000000-2-2220022-2-2-2-2220000000000-2-222000000-2-222-2-2002000000000000000000
χ202222222-2-2-2-2222000000-2-2220022-2-2-2-2-2-20000000000-2-22200000022-2-22200-2000000000000000000
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
χ23222222-12222-1-1-122-2-2-2-2-2-2-2-222-1-1-1-1-1-10022-1-111-1-1111111-1-1-1-1000000000000000-2112-2-1-11100000
χ24222222-12222-1-1-122-2-2-2-2-2-2-2-222-1-1-1-1-1-100-2-2-1-111-1-111111111110000000000000002-1-1-2211-1-100000
χ25222222-12222-1-1-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1002211-1-111-1-11111-1-1-1-1000000000000000-211-2211-1-100000
χ26222222-12222-1-1-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-100-2-211-1-111-1-1111111110000000000000002-1-12-2-1-11100000
χ27222222-12222-1-1-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1002211111111-1-1-1-1-1-1-1-10000000000000002-1-1-2-2111100000
χ28222222-12222-1-1-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-100-2-211111111-1-1-1-11111000000000000000-21122-1-1-1-100000
χ292222-2-222-22-22220022-2-2000000-2-22-22-22200002200-2-200000000-2-200002-200-2002200000000000000
χ302222-2-222-22-22220022-2-2000000-2-22-22-2-2-200002200-2-200000000220000-2200200-2-200000000000000
χ312222-2-222-22-222200-2-222000000-2-22-22-2220000-2-20022000000002200002-200-200-2-200000000000000
χ322222-2-222-22-222200-2-222000000-2-22-22-2-2-20000-2-2002200000000-2-20000-22002002200000000000000
χ332222-2-22-22-222222200000000-2-2-2-2-22-2222002200-2-20000000000000000-22-2-2-2220000000000000000
χ342222-2-22-22-222222200000000-2-2-2-2-22-22-2-2002200-2-200000000000000002-2222-2-20000000000000000
χ352222-2-22-22-22222-2-20000000022-2-2-22-222200-2-200220000000000000000-2222-2-2-20000000000000000
χ362222-2-22-22-22222-2-20000000022-2-2-22-22-2-200-2-2002200000000000000002-2-2-22220000000000000000
χ372-2-222-222-2-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-22-2-2200002-22i−2i2-22i−2i2i−2i2i−2i000000000000000000000000000000000
χ382-2-222-222-2-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-2-2200002-2−2i2i2-2−2i2i−2i2i−2i2i000000000000000000000000000000000
χ392-2-222-222-2-22-22-2-222i−2i2i−2i−2i2i−2i2i-222-22-2-220000-222i−2i-222i−2i−2i2i−2i2i000000000000000000000000000000000
χ402-2-222-222-2-22-22-2-22−2i2i−2i2i2i−2i2i−2i-222-22-2-220000-22−2i2i-22−2i2i2i−2i2i−2i000000000000000000000000000000000
χ412-2-222-22-222-2-22-20000002i−2i−2i2i002-2-222-20000000000002i−2i−2i2i00002-20000002i−2i02i−2i2-200000000000000
χ422-2-222-22-222-2-22-20000002i−2i−2i2i002-2-222-20000000000002i−2i−2i2i0000-22000000−2i2i0−2i2i-2200000000000000
χ432-2-222-22-222-2-22-2000000−2i2i2i−2i002-2-222-2000000000000−2i2i2i−2i00002-2000000−2i2i0−2i2i2-200000000000000
χ442-2-222-22-222-2-22-2000000−2i2i2i−2i002-2-222-2000000000000−2i2i2i−2i0000-220000002i−2i02i−2i-2200000000000000
χ452-2-222-2-12-2-221-112-22i−2i2i−2i2i−2i2i−2i2-2-11-111-10000-11−ii-11−ii−ii−ii33−3−30000000000000000−i3i3003−3−i3i300000
χ462-2-222-2-12-2-221-112-22i−2i2i−2i2i−2i2i−2i2-2-11-111-10000-11−ii-11−ii−ii−ii−3−3330000000000000000i3−i300−33i3−i300000
χ472-2-222-2-12-2-221-112-2−2i2i−2i2i−2i2i−2i2i2-2-11-111-10000-11i−i-11i−ii−ii−i33−3−30000000000000000i3−i3003−3i3−i300000
χ482-2-222-2-12-2-221-112-2−2i2i−2i2i−2i2i−2i2i2-2-11-111-10000-11i−i-11i−ii−ii−i−3−3330000000000000000−i3i300−33−i3i300000
χ492-2-222-2-12-2-221-11-222i−2i2i−2i−2i2i−2i2i-22-11-111-100001-1−ii1-1−iii−ii−i33−3−30000000000000000i3−i300−33−i3i300000
χ502-2-222-2-12-2-221-11-222i−2i2i−2i−2i2i−2i2i-22-11-111-100001-1−ii1-1−iii−ii−i−3−3330000000000000000−i3i3003−3i3−i300000
χ512-2-222-2-12-2-221-11-22−2i2i−2i2i2i−2i2i−2i-22-11-111-100001-1i−i1-1i−i−ii−ii33−3−30000000000000000−i3i300−33i3−i300000
χ522-2-222-2-12-2-221-11-22−2i2i−2i2i2i−2i2i−2i-22-11-111-100001-1i−i1-1i−i−ii−ii−3−3330000000000000000i3−i3003−3−i3i300000
χ532-2-22-22222-2-2-22-2002i−2i−2i2i000000-2222-2-20000002i−2i00−2i2i00000000002-22-2002i−2i0−2i2i0000000000000000
χ542-2-22-22222-2-2-22-2002i−2i−2i2i000000-2222-2-20000002i−2i00−2i2i0000000000-22-2200−2i2i02i−2i0000000000000000
χ552-2-22-22222-2-2-22-200−2i2i2i−2i000000-2222-2-2000000−2i2i002i−2i00000000002-22-200−2i2i02i−2i0000000000000000
χ562-2-22-22222-2-2-22-200−2i2i2i−2i000000-2222-2-2000000−2i2i002i−2i0000000000-22-22002i−2i0−2i2i0000000000000000
χ572-2-22-222-2-222-22-22-200000000-22-22-2-22200002-200-2200000000002-22-2-220000000-2200000000000000
χ582-2-22-222-2-222-22-22-200000000-22-22-2-22200002-200-220000000000-22-222-200000002-200000000000000
χ592-2-22-222-2-222-22-2-22000000002-2-22-2-2220000-22002-200000000002-2-222-20000000-2200000000000000
χ602-2-22-222-2-222-22-2-22000000002-2-22-2-2220000-22002-20000000000-222-2-2200000002-200000000000000
χ61444444-2-4-4-4-4-2-2-200000044-4-400-2-22222000000000000-2-222000000000000000000000000000000000
χ62444444-2-4-4-4-4-2-2-2000000-4-44400-2-2222200000000000022-2-2000000000000000000000000000000000
χ634444-4-4-24-44-4-2-2-20044-4-400000022-22-22000000-2-200220000000000000000000000000000000000000
χ644444-4-4-24-44-4-2-2-200-4-44400000022-22-220000002200-2-20000000000000000000000000000000000000
χ654444-4-4-2-44-44-2-2-24400000000-4-4222-22-20000-2-20022000000000000000000000000000000000000000
χ664444-4-4-2-44-44-2-2-2-4-40000000044222-22-200002200-2-2000000000000000000000000000000000000000
χ6744-4-400400004-4-40000000000000000004i−4i2i−2i0000000000002i−2i2i−2i0000000000000000000000002-2000
χ6844-4-400400004-4-40000000000000000004i−4i−2i2i000000000000−2i2i−2i2i000000000000000000000000-22000
χ6944-4-400400004-4-4000000000000000000−4i4i2i−2i0000000000002i−2i2i−2i000000000000000000000000-22000
χ7044-4-400400004-4-4000000000000000000−4i4i−2i2i000000000000−2i2i−2i2i0000000000000000000000002-2000
χ714-4-444-4-2-444-42-220000004i−4i−4i4i00-222-2-22000000000000−2i2i2i−2i000000000000000000000000000000000
χ724-4-444-4-2-444-42-22000000−4i4i4i−4i00-222-2-220000000000002i−2i−2i2i000000000000000000000000000000000
χ734-4-44-44-244-4-42-22004i−4i−4i4i0000002-2-2-222000000−2i2i002i−2i0000000000000000000000000000000000000
χ744-4-44-44-244-4-42-2200−4i4i4i−4i0000002-2-2-2220000002i−2i00−2i2i0000000000000000000000000000000000000
χ754-4-44-44-2-4-4442-224-400000000-442-222-2-20000-22002-2000000000000000000000000000000000000000
χ764-4-44-44-2-4-4442-22-44000000004-42-222-2-200002-200-22000000000000000000000000000000000000000
χ7788-8-800-40000-444000000000000000000004i−4i000000000000−2i2i−2i2i00000000000000000000000000000
χ7888-8-800-40000-44400000000000000000000−4i4i0000000000002i−2i2i−2i00000000000000000000000000000
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).