Finite Group Databasebeta

← Group #72280114

Character table — Group #72280114

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11112222222222222288888888888816161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232
order1244222222244444444444444444442244888888888888888888888888888888882244444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ5111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1
χ91111-1-1111-1-111-1-1-11-111111-1-1-1-11-1-11-11-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-1i−ii−i1-1
χ101111-1-1111-1-111-1-1-11-111111-1-1-1-11-1-11-11-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11-11i−ii−i1-1
χ111111-1-1111-1-111-1-1-11-111111-1-1-1-11-1-11-11-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11-11−ii−ii1-1
χ121111-1-1111-1-111-1-1-11-111111-1-1-1-11-1-11-11-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-1−ii−ii1-1
χ131111-1-1111-1-111-1-1-11-111111-1-1-1-11-1-1-11-11ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11-11i−i−ii-11
χ141111-1-1111-1-111-1-1-11-111111-1-1-1-11-1-1-11-11ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-11-1i−i−ii-11
χ151111-1-1111-1-111-1-1-11-111111-1-1-1-11-1-1-11-11−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-1−iii−i-11
χ161111-1-1111-1-111-1-1-11-111111-1-1-1-11-1-1-11-11−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11-11−iii−i-11
χ1722222222222222222222-2-2-22-2-2-2-22-2000000002222000000000000000000000000000000-2-200
χ1822222222222222222222-2-2-22-2-2-2-22-200000000-2-2-2-20000000000000000000000000000002200
χ19222222222222222222-2-222-2-22-2-2-2-220000222200000000000000000000000000000000-2-20000
χ20222222222222222222-2-222-2-22-2-2-2-220000-2-2-2-200000000000000000000000000000000220000
χ21222222222222222222-2-2-2-22-2-2222-2-222220000000000000000000000000000000000000000-2-2
χ22222222222222222222-2-2-2-22-2-2222-2-2-2-2-2-2000000000000000000000000000000000000000022
χ232222-2-2222-2-222-2-2-22-222-2-2-2-2222-2-22000000002i2i−2i−2i000000000000000000000000000000−2i2i00
χ242222-2-2222-2-222-2-2-22-222-2-2-2-2222-2-2200000000−2i−2i2i2i0000000000000000000000000000002i−2i00
χ252222-2-2222-2-222-2-2-22-2-2-222-22-222-22-200002i2i−2i−2i00000000000000000000000000000000−2i2i0000
χ262222-2-2222-2-222-2-2-22-2-2-222-22-222-22-20000−2i−2i2i2i000000000000000000000000000000002i−2i0000
χ272222-2-2222-2-222-2-2-22-2-2-2-2-2222-2-22222-22-20000000000000000000000000000000000000000-22
χ282222-2-2222-2-222-2-2-22-2-2-2-2-2222-2-2222-22-2200000000000000000000000000000000000000002-2
χ2922-2-2222-2-2-2-22222-2-2-20000-2002-220022-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000
χ3022-2-2222-2-2-2-22222-2-2-20000-2002-220022-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000
χ3122-2-2222-2-2-2-22222-2-2-20000-2002-2200-2-22200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000
χ3222-2-2222-2-2-2-22222-2-2-20000-2002-2200-2-22200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000
χ3322-2-22-2-22-22-22-22-222-2002-20020000-200002i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i20000000022−2−222−2−20000000000
χ3422-2-22-2-22-22-22-22-222-2002-20020000-200002i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i200000000−2−222−2−2220000000000
χ3522-2-22-2-22-22-22-22-222-2002-20020000-20000−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i200000000−2−222−2−2220000000000
χ3622-2-22-2-22-22-22-22-222-2002-20020000-20000−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i20000000022−2−222−2−20000000000
χ3722-2-22-2-2-22-22-22-2222-22-200020000-20000000002i−2i2i−2i00000000i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000
χ3822-2-22-2-2-22-22-22-2222-22-200020000-20000000002i−2i2i−2i00000000−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000
χ3922-2-22-2-2-22-22-22-2222-22-200020000-2000000000−2i2i−2i2i00000000i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000
χ4022-2-22-2-2-22-22-22-2222-22-200020000-2000000000−2i2i−2i2i00000000−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000
χ4122-2-2-22-22-2-222-2-22-222002-200-20000200002-2-2200002−22−2−22−220000000022−2−2−2−2220000000000
χ4222-2-2-22-22-2-222-2-22-222002-200-20000200002-2-220000−22−222−22−200000000−2−22222−2−20000000000
χ4322-2-2-22-22-2-222-2-22-222002-200-2000020000-222-200002−22−2−22−2200000000−2−22222−2−20000000000
χ4422-2-2-22-22-2-222-2-22-222002-200-2000020000-222-20000−22−222−22−20000000022−2−2−2−2220000000000
χ4522-2-2-22-2-222-2-222-2-2222-2000-2000020000000002-2-22000000002−22−2−22−222−22−2−22−220000000000
χ4622-2-2-22-2-222-2-222-2-2222-2000-2000020000000002-2-2200000000−22−222−22−2−22−222−22−20000000000
χ4722-2-2-22-2-222-2-222-2-2222-2000-200002000000000-222-2000000002−22−2−22−22−22−222−22−20000000000
χ4822-2-2-22-2-222-2-222-2-2222-2000-200002000000000-222-200000000−22−222−22−22−22−2−22−220000000000
χ4922-2-2-2-22-2-22222-2-22-220000-200-222002-2-220000000022−2−2−2−22222−2−2−2−222000000000000000000
χ5022-2-2-2-22-2-22222-2-22-220000-200-222002-2-2200000000−2−22222−2−2−2−22222−2−2000000000000000000
χ5122-2-2-2-22-2-22222-2-22-220000-200-22200-222-20000000022−2−2−2−222−2−22222−2−2000000000000000000
χ5222-2-2-2-22-2-22222-2-22-220000-200-22200-222-200000000−2−22222−2−222−2−2−2−222000000000000000000
χ534444444-4-4-4-4-4-4-4-444400000000000000000000000000000000000000002-2-222-2-220000000000
χ544444444-4-4-4-4-4-4-4-44440000000000000000000000000000000000000000-222-2-222-20000000000
χ5544444-4-44-44-4-44-44-4-44000000000000000000000000000000002-2-222-2-22000000000000000000
χ5644444-4-44-44-4-44-44-4-4400000000000000000000000000000000-222-2-222-2000000000000000000
χ5744444-4-4-44-444-44-4-4-440000000000000000000000002-2-222-2-2200000000000000000000000000
χ5844444-4-4-44-444-44-4-4-44000000000000000000000000-222-2-222-200000000000000000000000000
χ594444-44-44-4-44-444-44-4-4000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ604444-44-44-4-44-444-44-4-400000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ614444-44-4-444-44-4-444-4-40000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ624444-44-4-444-44-4-444-4-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ634444-4-44-4-444-4-444-44-400000000000000000000000000000000000000002-2-22-222-20000000000
χ644444-4-44-4-444-4-444-44-40000000000000000000000000000000000000000-222-22-2-220000000000
χ6544-4-44444444-4-4-4-4-4-4-40000000000000000000000000000000000000000000000002-2-22000000
χ6644-4-44444444-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000-222-2000000
χ6744-4-4444-4-4-4-44444-4-4-40000400-44-4000000000000000000000000000000000000000000000000
χ6844-4-44-4-44-44-44-44-444-400-4400-4000040000000000000000000000000000000000000000000000
χ6944-4-44-4-4-44-44-44-4444-4-44000-40000400000000000000000000000000000000000000000000000
χ7044-4-4-44-44-4-444-4-44-44400-440040000-40000000000000000000000000000000000000000000000
χ7144-4-4-44-4-444-4-444-4-444-4400040000-400000000000000000000000000000000000000000000000
χ7244-4-4-4-4444-4-4-4-4444-4400000000000000000000000000000000000000000000000022-2-2000000
χ7344-4-4-4-4444-4-4-4-4444-44000000000000000000000000000000000000000000000000-2-222000000
χ7444-4-4-4-44-4-44444-4-44-4400004004-4-4000000000000000000000000000000000000000000000000
χ7516-1616i−16i000000000000000000000000000000000000000000000000000000000000000000000000
χ7616-16−16i16i000000000000000000000000000000000000000000000000000000000000000000000000

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