Finite Group Databasebeta

← Group #72280088

Character table — Group #72280088

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11112222222222222288888888888816161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232
order1244222222244444444444444444442222224444448888888888888888888888882244888888
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
χ311111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ5111111111111111111111111111111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ7111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ91111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-11-11-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-1
χ101111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-11-11-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-111-11-11-1
χ111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-11-111-1-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-1-11-11
χ121111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-11-111-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-11-1-11-11
χ131111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111-111-1-11-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-111-1-11
χ141111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111-111-1-11-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-111-1-11
χ151111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111-11-111-1-11-111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-111-1
χ161111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111-11-111-1-11-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-11-111-1
χ172222222222222222222-2-222-2-2-2-22-2-200002200002200000000000000000000000000000000-2-2
χ182222222222222222222-2-222-2-2-2-22-2-20000-2-20000-2-20000000000000000000000000000000022
χ19222222222222222222-22-2-2-222-2-2-22-2002200002200000000000000000000000000000000-2-200
χ20222222222222222222-22-2-2-222-2-2-22-200-2-20000-2-2000000000000000000000000000000002200
χ21222222222222222222-2-22-2-2-2-222-2-222200002200000000000000000000000000000000-2-20000
χ22222222222222222222-2-22-2-2-2-222-2-22-2-20000-2-200000000000000000000000000000000220000
χ232222-2-2-2-2222-2-2-2-22222-2-2-2-222222-2-200002-200002-200000000000000000000000000000000-22
χ242222-2-2-2-2222-2-2-2-22222-2-2-2-222222-2-20000-220000-22000000000000000000000000000000002-2
χ252222-2-2-2-2222-2-2-2-2222-22-222-2-222-22-2002-200002-200000000000000000000000000000000-2200
χ262222-2-2-2-2222-2-2-2-2222-22-222-2-222-22-200-220000-22000000000000000000000000000000002-200
χ272222-2-2-2-2222-2-2-2-2222-2-222222-2-2-2-222-200002-200000000000000000000000000000000-220000
χ282222-2-2-2-2222-2-2-2-2222-2-222222-2-2-2-22-220000-22000000000000000000000000000000002-20000
χ2922-2-222-2-22-2-222-2-222-200-200002-2002220000-2-2000022−2−222−2−222−2−222−2−2000000000000000000
χ3022-2-222-2-22-2-222-2-222-200-200002-2002220000-2-20000−2−222−2−222−2−222−2−222000000000000000000
χ3122-2-222-2-22-2-222-2-222-200-200002-2002-2-2000022000022−2−222−2−2−2−222−2−222000000000000000000
χ3222-2-222-2-22-2-222-2-222-200-200002-2002-2-20000220000−2−222−2−22222−2−222−2−2000000000000000000
χ3322-2-22-22-2-22-22-22-22-220-20002-20002000220000-2-2002−22−22−22−20000000022−2−222−2−20000000000
χ3422-2-22-22-2-22-22-22-22-220-20002-20002000220000-2-200−22−22−22−2200000000−2−222−2−2220000000000
χ3522-2-22-22-2-22-22-22-22-220-20002-20002000-2-2000022002−22−22−22−200000000−2−222−2−2220000000000
χ3622-2-22-22-2-22-22-22-22-220-20002-20002000-2-200002200−22−22−22−220000000022−2−222−2−20000000000
χ3722-2-22-2-22-2-22-222-2-222-2002-200002000000220000-2-2000000002−22−22−22−22−22−22−22−20000000000
χ3822-2-22-2-22-2-22-222-2-222-2002-200002000000220000-2-200000000−22−22−22−22−22−22−22−220000000000
χ3922-2-22-2-22-2-22-222-2-222-2002-200002000000-2-2000022000000002−22−22−22−2−22−22−22−220000000000
χ4022-2-22-2-22-2-22-222-2-222-2002-200002000000-2-200002200000000−22−22−22−222−22−22−22−20000000000
χ4122-2-2-222-2-2-222-2-22-222-200-22000020000002-20000-22000000002−22−2−22−222−22−2−22−220000000000
χ4222-2-2-222-2-2-222-2-22-222-200-22000020000002-20000-2200000000−22−222−22−2−22−222−22−20000000000
χ4322-2-2-222-2-2-222-2-22-222-200-2200002000000-2200002-2000000002−22−2−22−22−22−222−22−20000000000
χ4422-2-2-222-2-2-222-2-22-222-200-2200002000000-2200002-200000000−22−222−22−22−22−2−22−220000000000
χ4522-2-2-22-22-22-2-22-222-220-2000-2200020002-20000-22002−22−2−22−220000000022−2−2−2−2220000000000
χ4622-2-2-22-22-22-2-22-222-220-2000-2200020002-20000-2200−22−222−22−200000000−2−22222−2−20000000000
χ4722-2-2-22-22-22-2-22-222-220-2000-220002000-2200002-2002−22−2−22−2200000000−2−22222−2−20000000000
χ4822-2-2-22-22-22-2-22-222-220-2000-220002000-2200002-200−22−222−22−20000000022−2−2−2−2220000000000
χ4922-2-2-2-2222-2-2-2-22222-200-20000-220022-20000-22000022−2−2−2−22222−2−2−2−222000000000000000000
χ5022-2-2-2-2222-2-2-2-22222-200-20000-220022-20000-220000−2−22222−2−2−2−22222−2−2000000000000000000
χ5122-2-2-2-2222-2-2-2-22222-200-20000-22002-2200002-2000022−2−2−2−222−2−22222−2−2000000000000000000
χ5222-2-2-2-2222-2-2-2-22222-200-20000-22002-2200002-20000−2−22222−2−222−2−2−2−222000000000000000000
χ53444444-4-44-4-4-4-444-4-4400000000000000000000000000000000000000002-2-222-2-220000000000
χ54444444-4-44-4-4-4-444-4-440000000000000000000000000000000000000000-222-2-222-20000000000
χ5544444-44-4-44-4-44-44-44-4000000000000000000000000000000002-2-222-2-22000000000000000000
χ5644444-44-4-44-4-44-44-44-400000000000000000000000000000000-222-2-222-2000000000000000000
χ5744444-4-44-4-444-4-444-4-40000000000000000000000002-2-222-2-2200000000000000000000000000
χ5844444-4-44-4-444-4-444-4-4000000000000000000000000-222-2-222-200000000000000000000000000
χ594444-444-4-4-44-444-44-4-40000000000000000000000002-2-22-222-200000000000000000000000000
χ604444-444-4-4-44-444-44-4-4000000000000000000000000-222-22-2-2200000000000000000000000000
χ614444-44-44-44-44-44-4-44-4000000000000000000000000000000002-2-22-222-2000000000000000000
χ624444-44-44-44-44-44-4-44-400000000000000000000000000000000-222-22-2-22000000000000000000
χ634444-4-4444-4-444-4-4-4-4400000000000000000000000000000000000000002-2-22-222-20000000000
χ644444-4-4444-4-444-4-4-4-440000000000000000000000000000000000000000-222-22-2-220000000000
χ6544-4-44444444-4-4-4-4-4-4-40000000000000000000000000000000000000000000000002-2-22000000
χ6644-4-44444444-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000-222-2000000
χ6744-4-444-4-44-4-444-4-444-40040000-4400-40000000000000000000000000000000000000000000000
χ6844-4-44-44-4-44-44-44-44-4404000-44000-400000000000000000000000000000000000000000000000
χ6944-4-44-4-44-4-44-444-4-444400-440000-4000000000000000000000000000000000000000000000000
χ7044-4-4-444-4-4-444-4-44-4444004-40000-4000000000000000000000000000000000000000000000000
χ7144-4-4-44-44-44-4-44-444-44040004-4000-400000000000000000000000000000000000000000000000
χ7244-4-4-4-4444-4-4-4-44444-400400004-400-40000000000000000000000000000000000000000000000
χ7344-4-4-4-4-4-44444444-4-4-400000000000000000000000000000000000000000000000022-2-2000000
χ7444-4-4-4-4-4-44444444-4-4-4000000000000000000000000000000000000000000000000-2-222000000
χ7516-1616i−16i000000000000000000000000000000000000000000000000000000000000000000000000
χ7616-16−16i16i000000000000000000000000000000000000000000000000000000000000000000000000

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