Finite Group Databasebeta

← Group #72280968

Character table — Group #72280968

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1122244444444448888888888888888161616161616161616161616161616161616161616161616163232323232323232646464
order12244222444448822222444444448882222444444444448888881616161624161616161616888
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1
χ4111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ51111111111111111-1-1111-1-11-1-1-1-111111-1-1111-1-111-1-1-1-11-1-11-1-111111111-1-1-1-11-1-1
χ61111111111111111-1-1111-1-11-1-1-1-111111-1-1111-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-111
χ71111111111111111-1-1-1-11-1-11-1-1-1-1111-1-111-1-1-111-1-111111-1-11-1-11111-1-111-1-1-1-1-111
χ81111111111111111-1-1-1-11-1-11-1-1-1-1111-1-111-1-1-111-1-111111-1-11-1-1-1-1-1-111-1-111111-1-1
χ911111111-1-111111-11-111-11-1-111-1-1111111-11-1-11-1-1-111-1-1-11-1-11-1111111-1-111-1-1-11-1
χ1011111111-1-111111-11-111-11-1-111-1-1111111-11-1-11-1-1-111-1-1-11-1-11-1-1-1-1-1-1-111-1-1111-11
χ1111111111-1-111111-11-1-1-1-11-1-111-1-1111-1-1-11-111-1111-1-111-11-1-11-11111-1-1-1-111-1-11-11
χ1211111111-1-111111-11-1-1-1-11-1-111-1-1111-1-1-11-111-1111-1-111-11-1-11-1-1-1-1-11111-1-111-11-1
χ1311111111-1-111111-1-1111-1-11-1-1-11111111-111-1-1-11-1-1-1-111-1-11-1-11111111-1-1-1-111-1-11
χ1411111111-1-111111-1-1111-1-11-1-1-11111111-111-1-1-11-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-1-111-1
χ1511111111-1-111111-1-11-1-1-1-11-1-1-111111-1-11-1-1111-11111-1-1-1-11-1-111111-1-1-1-1-1-11111-1
χ1611111111-1-111111-1-11-1-1-1-11-1-1-111111-1-11-1-1111-11111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-11
χ172222222222222-2-22220022222222-2-2-2000000000000000-2-2-2-2-2-2000000000000000
χ182222222222222-2-22-2-2002-2-22-2-2-2-2-2-2-2000000000000000-222-222000000000000000
χ1922222222-2-2222-2-2-22-200-22-2-222-2-2-2-2-20000000000000002-222-22000000000000000
χ2022222222-2-2222-2-2-2-2200-2-22-2-2-222-2-2-200000000000000022-222-2000000000000000
χ21222222-2-2002-2-22200222002000-2-22-2-22-202-200020000-2-200-2002000000000000000
χ22222222-2-2002-2-222002-2-2002000-2-22-2-2-220-22000-200002200-2002000000000000000
χ23222222-2-2002-2-22200-22200-2000222-2-22-20-2-2000-200002200200-2000000000000000
χ24222222-2-2002-2-22200-2-2-200-2000222-2-2-2202200020000-2-200200-2000000000000000
χ25222222-2-2002-2-2-2-200200002000-2-2-222002002-2-202-22-20000200-2000000000000000
χ26222222-2-2002-2-2-2-200200002000-2-2-22200-200-2220-22-220000200-2000000000000000
χ27222222-2-2002-2-2-2-200-20000-200022-22200200-22-20-222-20000-2002000000000000000
χ28222222-2-2002-2-2-2-200-20000-200022-22200-2002-2202-2-220000-2002000000000000000
χ2922222-22-200-22-222020220200-2-200-22-2-2220-2002000-2-2000-20020000000000000000
χ3022222-22-200-22-222020-2-20200-2-200-22-22-2-20200-200022000-20020000000000000000
χ3122222-22-200-22-2220-20220-2002200-22-2-22-20-200-200022000200-20000000000000000
χ3222222-22-200-22-2220-20-2-20-2002200-22-22-2202002000-2-2000200-20000000000000000
χ3322222-22-200-22-2-2-2020000200-2-2002-22000202-20-2-22002-20200-20000000000000000
χ3422222-22-200-22-2-2-2020000200-2-2002-22000-20-22022-200-220200-20000000000000000
χ3522222-22-200-22-2-2-20-20000-20022002-2200020-220-22-2002-20-20020000000000000000
χ3622222-22-200-22-2-2-20-20000-20022002-22000-202-202-2200-220-20020000000000000000
χ3722222-2-2222-2-2222-20022-20020000-2-22-2-2002-2-200220000200-200000000000000000
χ3822222-2-2222-2-2222-200-2-2-20020000-2-222200-22200-2-20000200-200000000000000000
χ3922222-2-2222-2-22-2-2-20000-2002000022-2002-2000-2200-222-2-200200000000000000000
χ4022222-2-2222-2-22-2-2-20000-2002000022-200-220002-2002-2-22-200200000000000000000
χ4122222-2-22-2-2-2-222220022200-20000-2-22-2-20022200-2-20000-200200000000000000000
χ4222222-2-22-2-2-2-2222200-2-2200-20000-2-222200-2-2-200220000-200200000000000000000
χ4322222-2-22-2-2-2-22-2-220000200-2000022-20022000-2-200-22-22200-200000000000000000
χ4422222-2-22-2-2-2-22-2-220000200-2000022-200-2-200022002-22-2200-200000000000000000
χ45222-2-2-2-2-2222220022-200-2-22-22-22-200000000000000000000000022−2−2002−22−22−2000
χ46222-2-2-2-2-2222220022-200-2-22-22-22-2000000000000000000000000−2−22200−22−22−22000
χ47222-2-2-2-2-222222002-2200-22-2-2-22-2200000000000000000000000022−2−2002−2−22−22000
χ48222-2-2-2-2-222222002-2200-22-2-2-22-22000000000000000000000000−2−22200−222−22−2000
χ49222-2-2-2-2-2-2-222200-222002-2-222-2-2200000000000000000000000022−2−200−222−2−22000
χ50222-2-2-2-2-2-2-222200-222002-2-222-2-22000000000000000000000000−2−222002−2−222−2000
χ51222-2-2-2-2-2-2-222200-2-2-2002222-222-200000000000000000000000022−2−200−22−222−2000
χ52222-2-2-2-2-2-2-222200-2-2-2002222-222-2000000000000000000000000−2−222002−22−2−22000
χ53444-4-444-444-4-4400-40000400-40000000000000000000000000000000000000000000
χ54444-4-444-4-4-4-4-440040000-40040000000000000000000000000000000000000000000
χ55444-4-44-4400-44-400040000-400-4400000000000000000000000000000000000000000
χ56444-4-44-4400-44-4000-400004004-400000000000000000000000000000000000000000
χ57444-4-4-444004-4-4000040000-40004-4000000000000000000000000000000000000000
χ58444-4-4-444004-4-40000-400004000-44000000000000000000000000000000000000000
χ5944-4-4400000000-440004-4000000000000000000000000000000002-22-22-2000000000
χ6044-4-4400000000-440004-400000000000000000000000000000000-22-22-22000000000
χ6144-4-4400000000-44000-44000000000000000000000000000000002-22-2-22000000000
χ6244-4-4400000000-44000-4400000000000000000000000000000000-22-222-2000000000
χ6388-88-80000000000000000000000000000000000000000000000022−22−222200000000000
χ6488-88-800000000000000000000000000000000000000000000000−222222−2200000000000
χ6588-8-88000000008-80000000000000000000000000000000000000000000000000000
χ6616-160000008i−8i000000000000000000000000000000000000000000000000000000000
χ6716-16000000−8i8i000000000000000000000000000000000000000000000000000000000

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