Finite Group Databasebeta

← Group #10826713

Character table — Group #10826713

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222222222444444488888888881212121212121212161616161616161616161616161616162424242424242424242448
order1222234444666612121212224444888822224444446612121212121212122424242424448888888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-111111111-1-11111-1-1-1-1-1-111-1-1-111-1-1-111-1-1-1
χ41111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1-1111-1-1111
χ51111111111111111111-11-111-1-11111111111-1-11-11-111-1-1-1-1-1-1111-1-11-1-1-1-111-1
χ61111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-111-11111-1-11
χ71111111111111111111-11-1-1-1-1-1-1-111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11
χ81111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-1-1-11111-1-11111-1
χ9111111111111111111-11-1111-1-1-1-111-1-111-1-11-1-11-111111-1-1-1-1-1-11-1-11-1-111-1-11
χ10111111111111111111-11-1111-1-1-1-1-1-111-1-1111-1-11-111111-1-1-1-1-1-1-111-111-1-111-1
χ11111111111111111111-11-11-1-1-1-11111-1-111-1-1-11-11-11-1-1-1-111-1-111-1-1-1-1111111-1
χ12111111111111111111-11-11-1-1-1-111-1-111-1-111-11-11-11-1-1-1-111-1-1111111-1-1-1-1-1-11
χ13111111111111111111-1-1-1-11111-1-111-1-111-1-1-11-1-1-1-111-1-11111-1-1111111-1-1-1-1-1
χ14111111111111111111-1-1-1-11111-1-1-1-111-1-111-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111
χ15111111111111111111-1-1-1-1-1-1111111-1-111-1-11-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1111
χ16111111111111111111-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-111-1-111111-1-111111-1-1-1
χ1722222-12222-1-1-1-1-1-1-1-122222222220000000022-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ1822222-12222-1-1-1-1-1-1-1-12222-2-222-2-200000000-2-2-1-1-1-1111111-1-11100000000000
χ1922222-12222-1-1-1-1-1-1-1-12-22-222-2-22200000000-2-2-11-11-1-1111111-1-100000000000
χ2022222-12222-1-1-1-1-1-1-1-12-22-2-2-2-2-2-2-20000000022-11-1111-1-1-1-1111100000000000
χ2122222-12222-1-1-1-1-1-1-1-1-22-2222-2-2-2-2000000002-21-11-1-1-1-1-111111100000000000
χ2222222-12222-1-1-1-1-1-1-1-1-22-22-2-2-2-22200000000-221-11-11111-1-111-1-100000000000
χ2322222-12222-1-1-1-1-1-1-1-1-2-2-2-22222-2-200000000-221111-1-111-1-1-1-11100000000000
χ2422222-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-22222000000002-2111111-1-111-1-1-1-100000000000
χ25222-2-22-2-22222-2-2-2-22220-200000002-22-22-22-20020-20000000000000000000000
χ26222-2-22-2-22222-2-2-2-22220-20000000-22-22-22-220020-20000000000000000000000
χ27222-2-22-2-22222-2-2-2-222-20200000002-2-222-2-2200-2020000000000000000000000
χ28222-2-22-2-22222-2-2-2-222-2020000000-222-2-222-200-2020000000000000000000000
χ2922-22-222-22-22-22-22-22-2000000002-2002-200-22000000000000002-2200-20000000
χ3022-22-222-22-22-22-22-22-2000000002-200-22002-2000000000000002-2-20020000000
χ3122-22-222-22-22-22-22-22-200000000-22002-200-2200000000000000-22-20020000000
χ3222-22-222-22-22-22-22-22-200000000-2200-22002-200000000000000-22200-20000000
χ3322-22-22-22-222-22-2-22-220000002-2002200-2-2000000000000002-20002-200000000
χ3422-22-22-22-222-22-2-22-220000002-200-2-20022000000000000002-2000-2200000000
χ3522-22-22-22-222-22-2-22-22000000-22002200-2-200000000000000-22000-2200000000
χ3622-22-22-22-222-22-2-22-22000000-2200-2-2002200000000000000-220002-200000000
χ3722-2-2222-2-222-2-222-2-22020-20000002-200-220000020-200000000000000002-2000
χ3822-2-2222-2-222-2-222-2-22020-2000000-22002-20000020-20000000000000000-22000
χ3922-2-2222-2-222-2-222-2-220-2020000002-200-2200000-2020000000000000000-22000
χ4022-2-2222-2-222-2-222-2-220-202000000-22002-200000-20200000000000000002-2000
χ4122-2-222-222-22-2-22-222-200002-20000002200-2-20000002-200000000000000002-20
χ4222-2-222-222-22-2-22-222-200002-2000000-2-200220000002-20000000000000000-220
χ4322-2-222-222-22-2-22-222-20000-220000002200-2-2000000-220000000000000000-220
χ4422-2-222-222-22-2-22-222-20000-22000000-2-20022000000-2200000000000000002-20
χ45444444-4-4-4-44444-4-4-4-4000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-4-2-2-2-2222200000000000000000000000000−2i32i300000000000000000
χ4744444-2-4-4-4-4-2-2-2-22222000000000000000000000000002i3−2i300000000000000000
χ48444-4-4444-4-444-4-444-4-4000000000000000000000000000000000000000000000
χ49444-4-4-244-4-4-2-222-2-222000000000000000000000000000023−23000000000000000
χ50444-4-4-244-4-4-2-222-2-2220000000000000000000000000000−2323000000000000000
χ51444-4-4-2-4-444-2-22222-2-240-400000000000000000-2020000000000000000000000
χ52444-4-4-2-4-444-2-22222-2-2-4040000000000000000020-20000000000000000000000
χ5344-44-4-24-44-4-22-22-22-22000000004-40000000000000000000000-2200000000000
χ5444-44-4-24-44-4-22-22-22-2200000000-4400000000000000000000002-200000000000
χ5544-44-4-2-44-44-22-222-22-20000004-40000000000000000000000-220000000000000
χ5644-44-4-2-44-44-22-222-22-2000000-4400000000000000000000002-20000000000000
χ5744-4-44-24-4-44-222-2-222-2040-400000000000000000-202000000000000000000000
χ5844-4-44-24-4-44-222-2-222-20-4040000000000000000020-2000000000000000000000
χ5944-4-44-2-444-4-222-22-2-2200004-4000000000000000000-220000000000000000000
χ6044-4-44-2-444-4-222-22-2-220000-440000000000000000002-20000000000000000000
χ618-800080000-800000000000000000000000000000000000000000000022−2200000
χ628-800080000-8000000000000000000000000000000000000000000000−222200000
χ6316-16000-8000080000000000000000000000000000000000000000000000000000

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