Finite Group Databasebeta

← Group #10944198

Character table — Group #10944198

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444444444668888888888888888881212121212121212121212121212121616161616161616162424484848
order122222344446662222222244446612121212444466666666121212121212121244444444444444448812122424242444288
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
χ5111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-1111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-111-1-11111111-1-1
χ911111111111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111111111-1-11-1-1-1-111-1-1-11-1-1-111-1-111-11-1
χ1011111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11-1-1-1-111-1-11-1111-1-111-1-11-11
χ1111111111111111-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-11111-1-111-11-1-1-111-1-1-1-11-11
χ1211111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-1111-1111-1-11111-11-1
χ1311111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-111111111-1-1111-1-1-1-1-1-111-1-11-1-1-1-11111-1-11
χ1411111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111-1-1-1-1-1-11111-11111-1-1-1-111-1
χ1511111111111111-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1111111-1-1-1-11-1-1-1-111-1-111-1
χ1611111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1111111-1-111-11111-1-111-1-11
χ172222222-2-2-2-222222-2-20000000022-2-2-2-2220022-2-2000000000000-2-20000222-2-2000000000000000000
χ182222222-2-2-2-222222-2-20000000022-2-2-2-2-2-20022-2-2000000000000220000-2-2-222000000000000000000
χ192222222-2-2-2-2222-2-2220000000022-2-2-2-22200-2-222000000000000-2-200002-2-222000000000000000000
χ202222222-2-2-2-2222-2-2220000000022-2-2-2-2-2-200-2-222000000000000220000-222-2-2000000000000000000
χ21222222-12222-1-1-1222222222222-1-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222-1-1-1-1-1-100000
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
χ23222222-12222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10022-1-1-1-111111111-1-1-1-10000000000000002-2-2-1-1111100000
χ24222222-12222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-100-2-2-1-1-1-1111111111111000000000000000-22211-1-1-1-100000
χ25222222-12222-1-1-1-2-2-2-222-2-222-2-2-1-1-1-1-1-100221111-1-111-1-111-1-1-1-1000000000000000-22-211-1-11100000
χ26222222-12222-1-1-1-2-2-2-222-2-222-2-2-1-1-1-1-1-100-2-21111-1-111-1-11111110000000000000002-22-1-111-1-100000
χ27222222-12222-1-1-1-2-2-2-2-2-222-2-222-1-1-1-1-1-10022111111-1-111-1-1-1-1-1-1000000000000000-2-221111-1-100000
χ28222222-12222-1-1-1-2-2-2-2-2-222-2-222-1-1-1-1-1-100-2-2111111-1-111-1-1111100000000000000022-2-1-1-1-11100000
χ292222-2-222-22-22220000002200-2-2-2-22-22-222000000002200-2-200002-200-2-2-20000002200000000000000
χ302222-2-222-22-22220000002200-2-2-2-22-22-2-2-2000000002200-2-20000-2200222000000-2-200000000000000
χ312222-2-222-22-2222000000-2-20022-2-22-22-22200000000-2-2002200002-20022-2000000-2-200000000000000
χ322222-2-222-22-2222000000-2-20022-2-22-22-2-2-200000000-2-200220000-2200-2-220000002200000000000000
χ332222-2-22-22-2222200002200-2-200-2-2-22-22220000002200-2-2000000-22-2-200-20000220000000000000000
χ342222-2-22-22-2222200002200-2-200-2-2-22-22-2-20000002200-2-20000002-2220020000-2-20000000000000000
χ352222-2-22-22-222220000-2-2002200-2-2-22-2222000000-2-20022000000-222200-20000-2-20000000000000000
χ362222-2-22-22-222220000-2-2002200-2-2-22-22-2-2000000-2-200220000002-2-2-20020000220000000000000000
χ3722-2-22-222-2-22-2-2200002-2002-2002-22-2-22000000002-2002-200000000002i−2i02i−2i2i−2i002i−2i00000000000000
χ3822-2-22-222-2-22-2-2200002-2002-2002-22-2-22000000002-2002-20000000000−2i2i0−2i2i−2i2i00−2i2i00000000000000
χ3922-2-22-222-2-22-2-220000-2200-22002-22-2-2200000000-2200-2200000000002i−2i0−2i2i−2i2i002i−2i00000000000000
χ4022-2-22-222-2-22-2-220000-2200-22002-22-2-2200000000-2200-220000000000−2i2i02i−2i2i−2i00−2i2i00000000000000
χ4122-2-22-22-222-2-2-220000002-2002-22-2-222-200000000002-2002-20000002i−2i0002i−2i−2i2i2i−2i0000000000000000
χ4222-2-22-22-222-2-2-220000002-2002-22-2-222-200000000002-2002-2000000−2i2i000−2i2i2i−2i−2i2i0000000000000000
χ4322-2-22-22-222-2-2-22000000-2200-222-2-222-20000000000-2200-220000002i−2i000−2i2i2i−2i2i−2i0000000000000000
χ4422-2-22-22-222-2-2-22000000-2200-222-2-222-20000000000-2200-22000000−2i2i0002i−2i−2i2i−2i2i0000000000000000
χ4522-2-2-22222-2-2-2-222-22-200000000-2222-2-200002-22-2000000000000002i−2i2i−2i00000−2i2i−2i2i00000000000000
χ4622-2-2-22222-2-2-2-222-22-200000000-2222-2-200002-22-200000000000000−2i2i−2i2i000002i−2i2i−2i00000000000000
χ4722-2-2-22222-2-2-2-22-22-2200000000-2222-2-20000-22-22000000000000002i−2i−2i2i00000−2i2i2i−2i00000000000000
χ4822-2-2-22222-2-2-2-22-22-2200000000-2222-2-20000-22-2200000000000000−2i2i2i−2i000002i−2i−2i2i00000000000000
χ4922-2-2-222-2-222-2-222-2-222-22-2-22-22-22-2-22200002-2-222-22-2-22-22000000000000000000000000000000000
χ5022-2-2-222-2-222-2-222-2-22-22-222-22-2-22-2-22200002-2-22-22-222-22-2000000000000000000000000000000000
χ5122-2-2-222-2-222-2-22-222-22-2-22-222-2-22-2-2220000-222-22-2-22-222-2000000000000000000000000000000000
χ5222-2-2-222-2-222-2-22-222-2-222-22-2-22-22-2-2220000-222-2-222-22-2-22000000000000000000000000000000000
χ5322-2-2-22-1-2-22211-12-2-222-22-2-22-221-111-1-10000-111-1-11-111-11-1−i3−i3i3i3000000000000000000−i3i3−i3i3−i3i300000
χ5422-2-2-22-1-2-22211-12-2-222-22-2-22-221-111-1-10000-111-1-11-111-11-1i3i3−i3−i3000000000000000000i3−i3i3−i3i3−i300000
χ5522-2-2-22-1-2-22211-12-2-22-22-222-22-21-111-1-10000-111-11-11-1-11-11−i3−i3i3i3000000000000000000−i3i3i3−i3i3−i300000
χ5622-2-2-22-1-2-22211-12-2-22-22-222-22-21-111-1-10000-111-11-11-1-11-11i3i3−i3−i3000000000000000000i3−i3−i3i3−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−i3−i3i3i3−i300000
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−i3i3i3−i3−i3i300000
χ5922-2-2-22-1-2-22211-1-222-2-222-22-2-221-111-1-100001-1-111-1-11-111-1−i3−i3i3i3000000000000000000i3−i3i3−i3−i3i300000
χ6022-2-2-22-1-2-22211-1-222-2-222-22-2-221-111-1-100001-1-111-1-11-111-1i3i3−i3−i3000000000000000000−i3i3−i3i3i3−i300000
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
χ634444-4-4-24-44-4-2-2-20000004400-4-422-22-220000000000-2-20022000000000000000000000000000000000
χ644444-4-4-24-44-4-2-2-2000000-4-4004422-22-2200000000002200-2-2000000000000000000000000000000000
χ654444-4-4-2-44-44-2-2-200004400-4-400222-22-200000000-2-2002200000000000000000000000000000000000
χ664444-4-4-2-44-44-2-2-20000-4-4004400222-22-2000000002200-2-200000000000000000000000000000000000
χ6744-4-44-4-24-4-4422-200004-4004-400-22-222-200000000-2200-2200000000000000000000000000000000000
χ6844-4-44-4-24-4-4422-20000-4400-4400-22-222-2000000002-2002-200000000000000000000000000000000000
χ6944-4-44-4-2-444-422-20000004-4004-4-222-2-220000000000-2200-22000000000000000000000000000000000
χ7044-4-44-4-2-444-422-2000000-4400-44-222-2-2200000000002-2002-2000000000000000000000000000000000
χ7144-4-4-44-244-4-422-24-44-4000000002-2-2-2220000-22-2200000000000000000000000000000000000000000
χ7244-4-4-44-244-4-422-2-44-44000000002-2-2-22200002-22-200000000000000000000000000000000000000000
χ734-44-400400004-4-40000000000000000004i−4i2i−2i0000000000002i−2i2i−2i0000000000000000000000002-2000
χ744-44-400400004-4-40000000000000000004i−4i−2i2i000000000000−2i2i−2i2i000000000000000000000000-22000
χ754-44-400400004-4-4000000000000000000−4i4i2i−2i0000000000002i−2i2i−2i000000000000000000000000-22000
χ764-44-400400004-4-4000000000000000000−4i4i−2i2i000000000000−2i2i−2i2i0000000000000000000000002-2000
χ778-88-800-40000-444000000000000000000004i−4i000000000000−2i2i−2i2i00000000000000000000000000000
χ788-88-800-40000-44400000000000000000000−4i4i0000000000002i−2i2i−2i00000000000000000000000000000
χ798-8-880080000-88-80000000000000000000000000000000000000000000000000000000000000000000
χ808-8-8800-400004-44000000000000000000000000000000000023−23−232300000000000000000000000000000
χ818-8-8800-400004-440000000000000000000000000000000000−232323−2300000000000000000000000000000

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