Finite Group Databasebeta

← Group #10827744

Character table — Group #10827744

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order12442223444612126661212122444444488121212122244444446812121212121212242424242224448848
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-111111111-11-11-1-111-1-111-1-11-1-11-1-111-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-111-111-1-111
χ51111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-11-1-11111-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1111-1-111-1-1-1-11-111-11-1-11-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-1-11-1-11-111-11
χ911111111111111111111-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-1
χ1011111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111
χ1111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ1211111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111111111-1-1
χ1311111111111111111111-1-1-1-111-1-11111111111-1-1-1-11-1-1-111-1-1-1-111-1-1-11-1-11-1111-1
χ1411111111111111111111-1-1-1-111-1-1111111-1-1-1-111111-1-1-111-1-1-1-111-1-11-111-11-1-1-11
χ1511111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1111111-1-11-1-1111-11
χ1611111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-111111111-111-1-1-11-1
χ172222222-1222-1-1-1-1-1-1-1-1-12222222222-1-1-1-1000000002-12-1-1-1-1-1-1-1-1-1-1-10000000000
χ182222222-1222-1-1-1-1-1-1-1-1-12222-2-2-2-222111100000000-2-1-2-111-1-111-1-1110000000000
χ192222222-1222-1-1-1-1-1-1-1-1-122-2-222-2-2-2-2-1-1-1-100000000-2-12-111111111-1-10000000000
χ202222222-1222-1-1-1-1-1-1-1-1-122-2-2-2-222-2-21111000000002-1-2-1-1-111-1-111110000000000
χ212222222-1222-1-1-1-1-1-1-1-1-1-2-2222222-2-2-1-1-1-100000000-21-2111-1-1-1-111110000000000
χ222222222-1222-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111000000002121-1-1-1-11111-1-10000000000
χ232222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222-1-1-1-10000000021-21-1-11111-1-1110000000000
χ242222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222111100000000-21211111-1-1-1-1-1-10000000000
χ252222-2-2222-2-2222-2-222-2-2002-200000000002-22-222-2-20000002-20000000000000000
χ262222-2-2222-2-2222-2-222-2-2002-20000000000-22-22-2-2220000002-20000000000000000
χ272222-2-2222-2-2222-2-222-2-200-2200000000002-22-2-2-222000000-220000000000000000
χ282222-2-2222-2-2222-2-222-2-200-220000000000-22-2222-2-2000000-220000000000000000
χ2922-2-22222-2-2-22-2-2222-2-2-20000002-20000002-2-220000000000002-2000000200-20000
χ3022-2-22222-2-2-22-2-2222-2-2-20000002-2000000-222-20000000000002-2000000-20020000
χ3122-2-22222-2-2-22-2-2222-2-2-2000000-220000002-2-22000000000000-22000000-20020000
χ3222-2-22222-2-2-22-2-2222-2-2-2000000-22000000-222-2000000000000-22000000200-20000
χ3322-2-22-2-2222-22-2-2-22-22-22000000002i−2i000000002i−2i2i−2i00000000002i−2i00200-2000000
χ3422-2-22-2-2222-22-2-2-22-22-22000000002i−2i00000000−2i2i−2i2i00000000002i−2i00-2002000000
χ3522-2-22-2-2222-22-2-2-22-22-2200000000−2i2i000000002i−2i2i−2i0000000000−2i2i00-2002000000
χ3622-2-22-2-2222-22-2-2-22-22-2200000000−2i2i00000000−2i2i−2i2i0000000000−2i2i00200-2000000
χ3722-2-2-22-222-222-2-22-2-222-22-200000000000000002i−2i−2i2i020-200000000000000002i−2i00
χ3822-2-2-22-222-222-2-22-2-222-22-20000000000000000−2i2i2i−2i020-20000000000000000−2i2i00
χ3922-2-2-22-222-222-2-22-2-222-2-2200000000000000002i−2i−2i2i0-2020000000000000000−2i2i00
χ4022-2-2-22-222-222-2-22-2-222-2-220000000000000000−2i2i2i−2i0-20200000000000000002i−2i00
χ4122-2-2-2-222-2222-2-2-2-22-22200002-2000022-2-222-2-20000000000000000000200-200000
χ4222-2-2-2-222-2222-2-2-2-22-22200002-2000022-2-2-2-2220000000000000000000-200200000
χ4322-2-2-2-222-2222-2-2-2-22-2220000-220000-2-22222-2-20000000000000000000-200200000
χ4422-2-2-2-222-2222-2-2-2-22-2220000-220000-2-222-2-2220000000000000000000200-200000
χ4544444-4-44-4-44444-44-4-44-40000000000000000000000000000000000000000000000
χ4644444-4-4-2-4-44-2-2-22-222-22000000000000000000000000000000000023−230000000000
χ4744444-4-4-2-4-44-2-2-22-222-220000000000000000000000000000000000−23230000000000
χ484444-44-44-44-44444-4-4-4-440000000000000000000000000000000000000000000000
χ494444-44-4-2-44-4-2-2-2-22222-20000000000000000000000000023−23000000000000000000
χ504444-44-4-2-44-4-2-2-2-22222-200000000000000000000000000−2323000000000000000000
χ514444-4-44-24-4-4-2-2-222-2-222004-4000000000000000000000000-220000000000000000
χ524444-4-44-24-4-4-2-2-222-2-22200-440000000000000000000000002-20000000000000000
χ5344-4-4444-2-4-4-4-222-2-2-22220000004-40000000000000000000000-2200000000000000
χ5444-4-4444-2-4-4-4-222-2-2-2222000000-4400000000000000000000002-200000000000000
χ5544-4-44-4-4-244-4-2222-22-22-2000000004i−4i0000000000000000000000−2i2i000000000000
χ5644-4-44-4-4-244-4-2222-22-22-200000000−4i4i00000000000000000000002i−2i000000000000
χ5744-4-4-44-4-24-44-222-222-2-224-4000000000000000000000-20200000000000000000000
χ5844-4-4-44-4-24-44-222-222-2-22-4400000000000000000000020-200000000000000000000
χ5944-4-4-4-44-2-444-22222-22-2-200004-40000-2-22200000000000000000000000000000000
χ6044-4-4-4-44-2-444-22222-22-2-20000-44000022-2-200000000000000000000000000000000
χ618-88i−8i0008000-88i−8i0000000000000000000000000000000000000000000000000000
χ628-88i−8i000-40004−4i4i000000000000000023−23−2i32i300000000000000000000000000000000
χ638-88i−8i000-40004−4i4i0000000000000000−23232i3−2i300000000000000000000000000000000
χ648-8−8i8i0008000-8−8i8i0000000000000000000000000000000000000000000000000000
χ658-8−8i8i000-400044i−4i000000000000000023−232i3−2i300000000000000000000000000000000
χ668-8−8i8i000-400044i−4i0000000000000000−2323−2i32i300000000000000000000000000000000

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