Finite Group Databasebeta

← Group #93213

Character table — Group #93213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11112222488888888161616161616161616161616161616323232323232
order12222222222444444244888888888888244444
χ111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-11-1-11-1-1-111iiii−i−i−i−i1111-1-1ii−i−i
χ6111111111-1-11-1-11-1-1-111iiii−i−i−i−i-1-1-1-111−i−iii
χ7111111111-1-11-1-11-1-1-111−i−i−i−iiiii1111-1-1−i−iii
χ8111111111-1-11-1-11-1-1-111−i−i−i−iiiii-1-1-1-111ii−i−i
χ9222222222222-2-22-2-22-2-2000000000000000000
χ10222222222-2-2222222-2-2-2000000000000000000
χ112222-2-2-2-220022i−2i-22i−2i000000000000000001−i−1+i1+i−1−i
χ122222-2-2-2-220022i−2i-22i−2i00000000000000000−1+i1−i−1−i1+i
χ132222-2-2-2-22002−2i2i-2−2i2i000000000000000001+i−1−i1−i−1+i
χ142222-2-2-2-22002−2i2i-2−2i2i00000000000000000−1−i1+i−1+i1−i
χ152222-2-2-2-2222-200200-20022−2−222−2−20000000000
χ162222-2-2-2-2222-200200-200−2−222−2−2220000000000
χ172222-2-2-2-22-2-2-200200200i2i2−i2−i2−i2−i2i2i20000000000
χ182222-2-2-2-22-2-2-200200200−i2−i2i2i2i2i2−i2−i20000000000
χ1944444444400-400-400000000000000000000000
χ2044444-44-4-4000000000000000000022-2-2000000
χ2144444-44-4-40000000000000000000-2-222000000
χ224444-44-44-4000000000000000000000002-20000
χ234444-44-44-400000000000000000000000-220000
χ2444-4-4040-400002i−2i0−2i2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ2544-4-4040-400002i−2i0−2i2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ2644-4-4040-40000−2i2i02i−2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ2744-4-4040-40000−2i2i02i−2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ2844-4-40-4040000220-2-2000i2−i2−i2i2−i2i2i2−i20000000000
χ2944-4-40-4040000220-2-2000−i2i2i2−i2i2−i2−i2i20000000000
χ3044-4-40-4040000-2-20220002−2−222−2−220000000000
χ3144-4-40-4040000-2-2022000−222−2−222−20000000000
χ324-4-44-404000000000002-2000000000022−22000000
χ334-4-44-404000000000002-20000000000−2222000000
χ344-4-44-40400000000000-220000000022−2200000000
χ354-4-44-40400000000000-2200000000−222200000000
χ368-88-8000004-4000000000000000000000000000
χ378-88-800000-44000000000000000000000000000
χ388-8-8880-80000000000000000000000000000000

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