Finite Group Databasebeta

← Group #10944209

Character table — Group #10944209

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444444444668888888888888888881212121212121212121212121212121616161616161616162424484848
order1222223444466622224444444466121212124444666612121212121212121212121244444444444444448812122424242444288
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
χ51111111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-11-1-1-111-1-111-11-1
χ61111111111111111-1-111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-11-1111-1-111-1-11-11
χ71111111111111111-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-11-1-1-111-1-1-1-11-11
χ81111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1111-1-11111-11-1
χ911111111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-11-1-1-1-11111-1-11
χ1011111111111111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-111-11111-1-1-1-111-1
χ1111111111111111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-111-1-1-1-111-1-11111-1-11-1-1-1-111-1-111-1
χ1211111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-11111-1-111-1-11
χ1311111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1
χ1411111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-11111-111-1-11111-1-1-111
χ1511111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-11111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-111-1-11111111-1-1
χ172222222-2-2-2-22220000000022-2-222-2-2-2-222000000000022-2-2000020000-2-2000022-2-200000000000000
χ182222222-2-2-2-22220000000022-2-222-2-2-2-2-2-2000000000022-2-20000-20000220000-2-22200000000000000
χ192222222-2-2-2-222200000000-2-22222-2-2-2-2220000000000-2-222000020000-2-20000-2-22200000000000000
χ202222222-2-2-2-222200000000-2-22222-2-2-2-2-2-20000000000-2-2220000-2000022000022-2-200000000000000
χ21222222-12222-1-1-1222222222222-1-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222-1-1-1-1-1-100000
χ22222222-12222-1-1-1222222222222-1-1-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000-2-2-211111100000
χ23222222-12222-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-10022-1-111-1-1111111-1-1-1-1000000000000000-22-211-1-11100000
χ24222222-12222-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-100-2-2-1-111-1-111111111110000000000000002-22-1-111-1-100000
χ25222222-12222-1-1-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1002211-1-111-1-11111-1-1-1-1000000000000000-2-221111-1-100000
χ26222222-12222-1-1-1-2-222-2-222-2-2-2-2-1-1-1-1-1-100-2-211-1-111-1-11111111100000000000000022-2-1-1-1-11100000
χ27222222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1002211111111-1-1-1-1-1-1-1-10000000000000002-2-2-1-1111100000
χ28222222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-100-2-211111111-1-1-1-11111000000000000000-22211-1-1-1-100000
χ292222-2-222-22-2222002200-2-20000-2-22-22-22200002200-2-200000000-200222-200-2-2000000000000000000
χ302222-2-222-22-2222002200-2-20000-2-22-22-2-2-200002200-2-200000000200-2-2-220022000000000000000000
χ312222-2-222-22-222200-2-200220000-2-22-22-2220000-2-2002200000000-200-2-22-20022000000000000000000
χ322222-2-222-22-222200-2-200220000-2-22-22-2-2-20000-2-200220000000020022-2200-2-2000000000000000000
χ332222-2-22-22-222222200-2-2000000-2-2-22-2222002200-2-20000000000-22200-22-2-200000000000000000000
χ342222-2-22-22-222222200-2-2000000-2-2-22-22-2-2002200-2-200000000002-2-2002-22200000000000000000000
χ352222-2-22-22-22222-2-20022000000-2-2-22-222200-2-200220000000000-2-2-200-222200000000000000000000
χ362222-2-22-22-22222-2-20022000000-2-2-22-22-2-200-2-200220000000000222002-2-2-200000000000000000000
χ3722-2-22-222-2-22-2-222-2002-20000002-22-2-2200002-2002-200000000000002i−2i00002i−2i2i−2i2i−2i00000000000000
χ3822-2-22-222-2-22-2-222-2002-20000002-22-2-2200002-2002-20000000000000−2i2i0000−2i2i−2i2i−2i2i00000000000000
χ3922-2-22-222-2-22-2-22-2200-220000002-22-2-220000-2200-2200000000000002i−2i00002i−2i−2i2i−2i2i00000000000000
χ4022-2-22-222-2-22-2-22-2200-220000002-22-2-220000-2200-220000000000000−2i2i0000−2i2i2i−2i2i−2i00000000000000
χ4122-2-22-22-222-2-2-22002-2002-200002-2-222-20000002-2002-20000000002i−2i00002i−2i002i−2i−2i2i00000000000000
χ4222-2-22-22-222-2-2-22002-2002-200002-2-222-20000002-2002-2000000000−2i2i0000−2i2i00−2i2i2i−2i00000000000000
χ4322-2-22-22-222-2-2-2200-2200-2200002-2-222-2000000-2200-220000000002i−2i00002i−2i00−2i2i2i−2i00000000000000
χ4422-2-22-22-222-2-2-2200-2200-2200002-2-222-2000000-2200-22000000000−2i2i0000−2i2i002i−2i−2i2i00000000000000
χ4522-2-2-22222-2-2-2-22000000002-22-2-2222-2-20000000000002-22-2000002i−2i2i−2i00−2i2i−2i2i000000000000000000
χ4622-2-2-22222-2-2-2-22000000002-22-2-2222-2-20000000000002-22-200000−2i2i−2i2i002i−2i2i−2i000000000000000000
χ4722-2-2-22222-2-2-2-2200000000-22-22-2222-2-2000000000000-22-22000002i−2i−2i2i00−2i2i2i−2i000000000000000000
χ4822-2-2-22222-2-2-2-2200000000-22-22-2222-2-2000000000000-22-2200000−2i2i2i−2i002i−2i−2i2i000000000000000000
χ4922-2-2-222-2-222-2-222-22-2-22-222-2-22-22-2-22200002-22-2-22-222-2-22000000000000000000000000000000000
χ5022-2-2-222-2-222-2-222-2-22-222-2-222-2-22-2-22200002-2-22-222-2-222-2000000000000000000000000000000000
χ5122-2-2-222-2-222-2-22-222-22-2-22-222-2-22-2-2220000-222-22-2-22-222-2000000000000000000000000000000000
χ5222-2-2-222-2-222-2-22-22-222-22-22-2-22-22-2-2220000-22-222-22-22-2-22000000000000000000000000000000000
χ5322-2-2-22-1-2-22211-12-22-2-22-222-2-221-111-1-10000-11-111-11-1-111-1−i3−i3i3i3000000000000000000−i3i3−i3i3−i3i300000
χ5422-2-2-22-1-2-22211-12-22-2-22-222-2-221-111-1-10000-11-111-11-1-111-1i3i3−i3−i3000000000000000000i3−i3i3−i3i3−i300000
χ5522-2-2-22-1-2-22211-12-2-22-222-2-222-21-111-1-10000-111-11-1-111-1-11−i3−i3i3i3000000000000000000i3−i3−i3i3i3−i300000
χ5622-2-2-22-1-2-22211-12-2-22-222-2-222-21-111-1-10000-111-11-1-111-1-11i3i3−i3−i3000000000000000000−i3i3i3−i3−i3i300000
χ5722-2-2-22-1-2-22211-1-222-22-2-22-222-21-111-1-100001-1-11-111-11-1-11−i3−i3i3i3000000000000000000i3−i3i3−i3−i3i300000
χ5822-2-2-22-1-2-22211-1-222-22-2-22-222-21-111-1-100001-1-11-111-11-1-11i3i3−i3−i3000000000000000000−i3i3−i3i3i3−i300000
χ5922-2-2-22-1-2-22211-1-22-222-22-22-2-221-111-1-100001-11-1-11-11-111-1−i3−i3i3i3000000000000000000−i3i3i3−i3i3−i300000
χ6022-2-2-22-1-2-22211-1-22-222-22-22-2-221-111-1-100001-11-1-11-11-111-1i3i3−i3−i3000000000000000000i3−i3−i3i3−i3i300000
χ61444444-2-4-4-4-4-2-2-20000000044-4-4-2-22222000000000000-2-222000000000000000000000000000000000
χ62444444-2-4-4-4-4-2-2-200000000-4-444-2-2222200000000000022-2-2000000000000000000000000000000000
χ634444-4-4-24-44-4-2-2-2004400-4-4000022-22-22000000-2-200220000000000000000000000000000000000000
χ644444-4-4-24-44-4-2-2-200-4-40044000022-22-220000002200-2-20000000000000000000000000000000000000
χ654444-4-4-2-44-44-2-2-24400-4-4000000222-22-20000-2-20022000000000000000000000000000000000000000
χ664444-4-4-2-44-44-2-2-2-4-40044000000222-22-200002200-2-2000000000000000000000000000000000000000
χ6744-4-44-4-24-4-4422-24-4004-4000000-22-222-20000-2200-22000000000000000000000000000000000000000
χ6844-4-44-4-24-4-4422-2-4400-44000000-22-222-200002-2002-2000000000000000000000000000000000000000
χ6944-4-44-4-2-444-422-2004-4004-40000-222-2-22000000-2200-220000000000000000000000000000000000000
χ7044-4-44-4-2-444-422-200-4400-440000-222-2-220000002-2002-20000000000000000000000000000000000000
χ7144-4-4-44-244-4-422-2000000004-44-42-2-2-222000000000000-22-22000000000000000000000000000000000
χ7244-4-4-44-244-4-422-200000000-44-442-2-2-2220000000000002-22-2000000000000000000000000000000000
χ734-4-4400400004-4-40000000000000000004i−4i2-20000000000002-22-20000000000000000000000002i−2i000
χ744-4-4400400004-4-40000000000000000004i−4i-22000000000000-22-22000000000000000000000000−2i2i000
χ754-4-4400400004-4-4000000000000000000−4i4i2-20000000000002-22-2000000000000000000000000−2i2i000
χ764-4-4400400004-4-4000000000000000000−4i4i-22000000000000-22-220000000000000000000000002i−2i000
χ778-88-80080000-88-80000000000000000000000000000000000000000000000000000000000000000000
χ788-88-800-400004-440000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ798-88-800-400004-4400000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000
χ808-8-8800-40000-444000000000000000000004-4000000000000-22-2200000000000000000000000000000
χ818-8-8800-40000-44400000000000000000000-440000000000002-22-200000000000000000000000000000

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