Finite Group Databasebeta

← Group #10829886

Character table — Group #10829886

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order1222223444466666121212122444444444121212124444444468812121212121212242424242224444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-11-1-1111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-1-111-1-1-11111
χ51111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-11111-1-1-1-11-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-1-1-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11-11-1-1-1-11-1-1-1-1111-1-11-1-111-11
χ81111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111-11-1-1-1-11-1-1-1-111-111-111-1-11-1
χ911111111111111111111-1-111-1-11111111111111111-1-1-1-1-111-111-1-1-1-1-111-1-1-111-1-1
χ1011111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-1-1111-1-111
χ1111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1211111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1
χ1311111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-111-111-1-1-11
χ1411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1111-1-11-1-1111-1
χ1511111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1-1-111111-1
χ1611111111111111111111-1-1-1-111-1-1111111-1-1-1-11111-11-111-1-1-1-1-111-1-11111-1-1-1-1-11
χ172222222-2-2-2-222222-2-2-2-2002-2000000000022-2-222-2-2000000002-200000000000000
χ182222222-2-2-2-222222-2-2-2-2002-20000000000-2-222-2-222000000002-200000000000000
χ192222222-2-2-2-222222-2-2-2-200-22000000000022-2-2-2-22200000000-2200000000000000
χ202222222-2-2-2-222222-2-2-2-200-220000000000-2-22222-2-200000000-2200000000000000
χ21222222-12222-1-1-1-1-1-1-1-1-12222222222-1-1-1-100000000-122-1-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-1-1-1-1-1222222-2-2-2-2111100000000-1-2-2-1-111-1-1-111110000000000
χ23222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2111100000000-12-211-1-1-111-1-1110000000000
χ24222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-1-1-1-100000000-1-221111-11111-1-10000000000
χ25222222-12222-1-1-1-1-1-1-1-1-1-2-222-2-22222-1-1-1-1000000001-2-211-1-11-1-111110000000000
χ26222222-12222-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-211110000000012211111-1-1-1-1-1-10000000000
χ27222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-21111000000001-22-1-1-1-111111-1-10000000000
χ28222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222-1-1-1-10000000012-2-1-111111-1-1110000000000
χ292222-2-222-22-2222-2-22-22-200002-2000000002-22-200000002-200000000000002-20000
χ302222-2-222-22-2222-2-22-22-200002-200000000-22-2200000002-20000000000000-220000
χ312222-2-222-22-2222-2-22-22-20000-22000000002-22-20000000-220000000000000-220000
χ322222-2-222-22-2222-2-22-22-20000-2200000000-22-220000000-2200000000000002-20000
χ332222-2-22-22-22222-2-2-22-222-20000000000002-2-2200002000000-2000000200-2000000
χ342222-2-22-22-22222-2-2-22-222-2000000000000-222-200002000000-2000000-2002000000
χ352222-2-22-22-22222-2-2-22-22-220000000000002-2-220000-20000002000000-2002000000
χ362222-2-22-22-22222-2-2-22-22-22000000000000-222-20000-20000002000000200-2000000
χ3722-2-2-2222-2-22-2-222-22-2-22000000002i−2i2i2i−2i−2i00002i−2i2i−2i0000000000000002-20000000
χ3822-2-2-2222-2-22-2-222-22-2-22000000002i−2i2i2i−2i−2i0000−2i2i−2i2i000000000000000-220000000
χ3922-2-2-2222-2-22-2-222-22-2-2200000000−2i2i−2i−2i2i2i00002i−2i2i−2i000000000000000-220000000
χ4022-2-2-2222-2-22-2-222-22-2-2200000000−2i2i−2i−2i2i2i0000−2i2i−2i2i0000000000000002-20000000
χ4122-2-2-222-222-2-2-222-2-222-20000002i−2i00000000002i−2i−2i2i000002i−2i00000000000002-200
χ4222-2-2-222-222-2-2-222-2-222-20000002i−2i0000000000−2i2i2i−2i000002i−2i0000000000000-2200
χ4322-2-2-222-222-2-2-222-2-222-2000000−2i2i00000000002i−2i−2i2i00000−2i2i0000000000000-2200
χ4422-2-2-222-222-2-2-222-2-222-2000000−2i2i0000000000−2i2i2i−2i00000−2i2i00000000000002-200
χ45444444-2-4-4-4-4-2-2-2-2-22222004-400000000000000000000000000-2200000000000000
χ46444444-2-4-4-4-4-2-2-2-2-2222200-44000000000000000000000000002-200000000000000
χ474444-4-4-24-44-4-2-2-222-22-2200004-40000000000000000000-220000000000000000000
χ484444-4-4-24-44-4-2-2-222-22-220000-4400000000000000000002-20000000000000000000
χ494444-4-4-2-44-44-2-2-2222-22-24-400000000000000000000-200000020000000000000000
χ504444-4-4-2-44-44-2-2-2222-22-2-44000000000000000000002000000-20000000000000000
χ5144-4-44-4444-4-4-4-44-4444-4-40000000000000000000000000000000000000000000000
χ5244-4-44-44-4-444-4-44-44-4-4440000000000000000000000000000000000000000000000
χ5344-4-44-4-244-4-422-22-2-2-2220000000000000000000000000000000023−23000000000000
χ5444-4-44-4-244-4-422-22-2-2-22200000000000000000000000000000000−2323000000000000
χ5544-4-44-4-2-4-44422-22-222-2-20000000000000000000000000000000000−2i32i30000000000
χ5644-4-44-4-2-4-44422-22-222-2-200000000000000000000000000000000002i3−2i30000000000
χ5744-4-4-44-24-4-4422-2-22-222-2000000004i−4i−2i−2i2i2i00000000000000000000000000000000
χ5844-4-4-44-24-4-4422-2-22-222-200000000−4i4i2i2i−2i−2i00000000000000000000000000000000
χ5944-4-4-44-2-444-422-2-222-2-220000004i−4i0000000000000000000−2i2i00000000000000000
χ6044-4-4-44-2-444-422-2-222-2-22000000−4i4i00000000000000000002i−2i00000000000000000
χ618-88-800800008-8-80000000000000000000000000000000000000000000000000000
χ628-88-800-40000-4440000000000000000−2i32i3−2i32i300000000000000000000000000000000
χ638-88-800-40000-44400000000000000002i3−2i32i3−2i300000000000000000000000000000000
χ648-8-880080000-88-80000000000000000000000000000000000000000000000000000
χ658-8-8800-400004-44000000000000000023−23−232300000000000000000000000000000000
χ668-8-8800-400004-440000000000000000−232323−2300000000000000000000000000000000

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