Finite Group Databasebeta

← Group #9113

Character table — Group #9113

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222222222222444444442244448888888888888888444444442444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1
χ911111111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ1211111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ172222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000
χ18222222222222-2-2-2-222222222-2-2-2-2-2-20000000000000000000000000000
χ1922222222-2-2-2-22222-2-22222-2-2-2-2-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2220000000000000000000000000000
χ21222-22-2-2-200002-22-2002i2i−2i−2i0000002i−2ii2i2−i2−i222−2−2i2i2−i2−i222−2−2000000000000
χ22222-22-2-2-200002-22-2002i2i−2i−2i0000002i−2i−i2−i2i2i2−2−222−i2−i2i2i2−2−222000000000000
χ23222-22-2-2-200002-22-200−2i−2i2i2i000000−2i2ii2i2−i2−i2−2−222i2i2−i2−i2−2−222000000000000
χ24222-22-2-2-200002-22-200−2i−2i2i2i000000−2i2i−i2−i2i2i222−2−2−i2−i2i2i222−2−2000000000000
χ25222-22-2-2-20000-22-22002i2i−2i−2i000000−2i2i22−2−2i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ26222-22-2-2-20000-22-22002i2i−2i−2i000000−2i2i−2−222−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ27222-22-2-2-20000-22-2200−2i−2i2i2i0000002i−2i22−2−2−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ28222-22-2-2-20000-22-2200−2i−2i2i2i0000002i−2i−2−222i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ2922-22-22-2-222-2-200002i−2i2i−2i2i−2i2i−2i00000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ3022-22-22-2-222-2-200002i−2i2i−2i2i−2i2i−2i0000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ3122-22-22-2-222-2-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ3222-22-22-2-222-2-20000−2i2i−2i2i−2i2i−2i2i0000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ3322-22-22-2-2-2-22200002i−2i−2i2i−2i2i2i−2i00000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ3422-22-22-2-2-2-22200002i−2i−2i2i−2i2i2i−2i0000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ3522-22-22-2-2-2-2220000−2i2i2i−2i2i−2i−2i2i00000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ3622-22-22-2-2-2-2220000−2i2i2i−2i2i−2i−2i2i0000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ372-2-222-2-2200002-2-22220000-2-2002-20000002i−2i2i−2i00002i−2i2i−2i000000000000
χ382-2-222-2-2200002-2-22220000-2-2002-2000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ392-2-222-2-2200002-2-22-2-200002200-22002-22-200002-22-20000000000000000
χ402-2-222-2-2200002-2-22-2-200002200-2200-22-220000-22-220000000000000000
χ412-2-222-2-220000-222-2220000-2-200-22002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ422-2-222-2-220000-222-2220000-2-200-2200−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ432-2-222-2-220000-222-2-2-2000022002-20000002-22-20000-22-22000000000000
χ442-2-222-2-220000-222-2-2-2000022002-2000000-22-2200002-22-2000000000000
χ452-2-2-2222-22-22-222-2-2000000002-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ462-2-2-2222-22-22-222-2-2000000002-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ472-2-2-2222-22-22-2-2-22200000000-2200002−2−222−2−22−222−2−222−2000000000000
χ482-2-2-2222-22-22-2-2-22200000000-220000−222−2−222−22−2−222−2−22000000000000
χ492-2-2-2222-2-22-2222-2-200000000-220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ502-2-2-2222-2-22-2222-2-200000000-220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ512-2-2-2222-2-22-22-2-222000000002-200002−2−22−222−2−222−22−2−22000000000000
χ522-2-2-2222-2-22-22-2-222000000002-20000−222−22−2−222−2−22−222−2000000000000
χ5344-4-4-4-44400000000004-4-44000000000000000000000000000000000000
χ5444-4-4-4-4440000000000-444-4000000000000000000000000000000000000
χ554-444-4-44-4000000004i−4i0000−4i4i0000000000000000000000000000000000
χ564-444-4-44-400000000−4i4i00004i−4i0000000000000000000000000000000000
χ574-44-4-44-444-4-440000000000000000000000000000000000000000000000
χ584-44-4-44-44-444-40000000000000000000000000000000000000000000000

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