Finite Group Databasebeta

← Group #72279842

Character table — Group #72279842

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222222222222288888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1244222222244444444444444444448888888888888888888888882222444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1-1-11-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-111-1-111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ9222222222222222222222-2-2-2-2-2-22-2-200000000000000000000000000000000220000-2-2
χ10222222222222222222222-2-2-2-2-2-22-2-200000000000000000000000000000000-2-2000022
χ11222222222222222222-2-2-2222-2-2-2-22-2000000000000000000000000020002000000-2-200
χ12222222222222222222-2-2-2222-2-2-2-22-20000000000000000000000000-2000-20000002200
χ13222222222222222222-2-2-2-2-2-2222-2-220000000000000000000000002000200000-2-20000
χ14222222222222222222-2-2-2-2-2-2222-2-22000000000000000000000000-2000-200000220000
χ152222-2-2-2222-22-2-2-222-222-222-222-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ162222-2-2-2222-22-2-2-222-222-222-222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ172222-2-2-2222-22-2-2-222-222-2-2-22-2-22-222000000000000000000000000002-2002-200000000
χ182222-2-2-2222-22-2-2-222-222-2-2-22-2-22-22200000000000000000000000000-2200-2200000000
χ192222-2-2-2222-22-2-2-222-2-2-2222-2-2-222-2200000000000000002222-2-2-2-20000000000000000
χ202222-2-2-2222-22-2-2-222-2-2-2222-2-2-222-220000000000000000-2-2-2-222220000000000000000
χ212222-2-2-2222-22-2-2-222-2-2-22-2-2222-222-2000000002222-2-2-2-2000000000000000000000000
χ222222-2-2-2222-22-2-2-222-2-2-22-2-2222-222-200000000-2-2-2-22222000000000000000000000000
χ2322-2-222-22-2-2-2222-22-2-20000002-2200-2i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000002i−2i0000
χ2422-2-222-22-2-2-2222-22-2-20000002-2200-2i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000000000−2i2i0000
χ2522-2-222-22-2-2-2222-22-2-20000002-2200-2−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000000000−2i2i0000
χ2622-2-222-22-2-2-2222-22-2-20000002-2200-2−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000002i−2i0000
χ2722-2-22-22-22-2-222-22-22-20002-220000-20i2−i2i2−i2i2−i2i2−i20000000022−2−222−2−20000000000002i−2i00
χ2822-2-22-22-22-2-222-22-22-20002-220000-20i2−i2i2−i2i2−i2i2−i200000000−2−222−2−222000000000000−2i2i00
χ2922-2-22-22-22-2-222-22-22-20002-220000-20−i2i2−i2i2−i2i2−i2i20000000022−2−222−2−2000000000000−2i2i00
χ3022-2-22-22-22-2-222-22-22-20002-220000-20−i2i2−i2i2−i2i2−i2i200000000−2−222−2−2220000000000002i−2i00
χ3122-2-22-2-2-2-222-2-22222-22-2-2000000200000000002−22−22−22−22−22−22−22−2000000002-2000000
χ3222-2-22-2-2-2-222-2-22222-22-2-2000000200000000002−22−22−22−2−22−22−22−2200000000-22000000
χ3322-2-22-2-2-2-222-2-22222-22-2-200000020000000000−22−22−22−222−22−22−22−200000000-22000000
χ3422-2-22-2-2-2-222-2-22222-22-2-200000020000000000−22−22−22−22−22−22−22−22000000002-2000000
χ3522-2-2-222-2-22-2-22-2-2222-22-2000000200000000002−22−2−22−222−22−2−22−22000000000000002-2
χ3622-2-2-222-2-22-2-22-2-2222-22-2000000200000000002−22−2−22−22−22−222−22−200000000000000-22
χ3722-2-2-222-2-22-2-22-2-2222-22-200000020000000000−22−222−22−22−22−2−22−2200000000000000-22
χ3822-2-2-222-2-22-2-22-2-2222-22-200000020000000000−22−222−22−2−22−222−22−2000000000000002-2
χ3922-2-2-22-2-22-222-22-2-2220002-2-20000202−22−2−22−220000000022−2−2−2−22202000-20000000000
χ4022-2-2-22-2-22-222-22-2-2220002-2-20000202−22−2−22−2200000000−2−22222−2−20-200020000000000
χ4122-2-2-22-2-22-222-22-2-2220002-2-2000020−22−222−22−20000000022−2−2−2−2220-200020000000000
χ4222-2-2-22-2-22-222-22-2-2220002-2-2000020−22−222−22−200000000−2−22222−2−202000-20000000000
χ4322-2-2-2-222-2-222-2-222-220000002-2-200222−2−2−2−22222−2−2−2−222000000002000-200000000000
χ4422-2-2-2-222-2-222-2-222-220000002-2-200222−2−2−2−222−2−22222−2−200000000-2000200000000000
χ4522-2-2-2-222-2-222-2-222-220000002-2-2002−2−22222−2−222−2−2−2−22200000000-2000200000000000
χ4622-2-2-2-222-2-222-2-222-220000002-2-2002−2−22222−2−2−2−22222−2−2000000002000-200000000000
χ47444444-44-4-4-4-4-4-44-44400000000000000000000000000002-2-222-2-220000000000000000
χ48444444-44-4-4-4-4-4-44-4440000000000000000000000000000-222-2-222-20000000000000000
χ4944444-44-44-4-4-4-44-44-44000000000000000000002-2-222-2-22000000000000000000000000
χ5044444-44-44-4-4-4-44-44-4400000000000000000000-222-2-222-2000000000000000000000000
χ5144444-4-4-4-44444-4-4-4-440000000000002-2-222-2-2200000000000000000000000000000000
χ5244444-4-4-4-44444-4-4-4-44000000000000-222-2-222-200000000000000000000000000000000
χ534444-444-4-44-44-444-4-4-40000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ544444-444-4-44-44-444-4-4-4000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ554444-44-4-44-44-44-444-4-4000000000000000000002-2-22-222-2000000000000000000000000
χ564444-44-4-44-44-44-444-4-400000000000000000000-222-22-2-22000000000000000000000000
χ574444-4-444-4-44-444-4-44-400000000000000000000000000002-2-22-222-20000000000000000
χ584444-4-444-4-44-444-4-44-40000000000000000000000000000-222-22-2-220000000000000000
χ5944-4-44444444-4-4-4-4-4-4-4000000000000000000000000000000000000002-200-2200000000
χ6044-4-44444444-4-4-4-4-4-4-400000000000000000000000000000000000000-22002-200000000
χ6144-4-444-44-4-4-4444-44-4-4000000-44-40040000000000000000000000000000000000000000
χ6244-4-44-44-44-4-444-44-44-4000-44-40000400000000000000000000000000000000000000000
χ6344-4-44-4-4-4-444-4-44444-4-444000000-4000000000000000000000000000000000000000000
χ6444-4-4-444-4-44-4-44-4-44444-44000000-4000000000000000000000000000000000000000000
χ6544-4-4-44-4-44-444-44-4-444000-4440000-400000000000000000000000000000000000000000
χ6644-4-4-4-444-4-444-4-444-44000000-44400-40000000000000000000000000000000000000000
χ6744-4-4-4-4-4444-4-4444-4-44000000000000000000000000000000000000002200-2-200000000
χ6844-4-4-4-4-4444-4-4444-4-4400000000000000000000000000000000000000-2-2002200000000
χ6916-1616i−16i000000000000000000000000000000000000000000000000000000000000000000
χ7016-16−16i16i000000000000000000000000000000000000000000000000000000000000000000

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