Finite Group Databasebeta

← Group #9356

Character table — Group #9356

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222444444444444888888888888161616161616
order1222444444244444448888248888888888448888
χ11111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111-1-11-1-111111-1-111-1-1-1-11111-1-1-1-111
χ6111111111111-1-11-1-111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ7111111111111-1-11-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ8111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ911111-1-11-1-11111-1-1-1-1ii−i−i1-1i−iii−i−iii−i−i1-1i−i1-1
χ1011111-1-11-1-11111-1-1-1-1ii−i−i1-1i−iii−i−i−i−iii-11−ii-11
χ1111111-1-11-1-11111-1-1-1-1−i−iii1-1−ii−i−iiiii−i−i-11i−i-11
χ1211111-1-11-1-11111-1-1-1-1−i−iii1-1−ii−i−iii−i−iii1-1−ii1-1
χ1311111-1-11-1-111-1-1-111-1ii−i−i-11i−i−i−iiiii−i−i-11−ii1-1
χ1411111-1-11-1-111-1-1-111-1ii−i−i-11i−i−i−iii−i−iii1-1i−i-11
χ1511111-1-11-1-111-1-1-111-1−i−iii-11−iiii−i−iii−i−i1-1−ii-11
χ1611111-1-11-1-111-1-1-111-1−i−iii-11−iiii−i−i−i−iii-11i−i1-1
χ17222222-222-2-2-222-2-2-220000-220000000000000000
χ18222222-222-2-2-2-2-2-222200002-20000000000000000
χ1922222-222-22-2-222222-20000-2-20000000000000000
χ2022222-222-22-2-2-2-22-2-2-20000220000000000000000
χ212222-222-222-2200-200-2222200-2-200000000000000
χ222222-222-222-2200-200-2-2-2-2-2002200000000000000
χ232222-22-2-22-22-200200-2000000002i−2i2i−2i0000000000
χ242222-22-2-22-22-200200-200000000−2i2i−2i2i0000000000
χ252222-2-22-2-222-200-2002000000002-2-220000000000
χ262222-2-22-2-222-200-200200000000-222-20000000000
χ272222-2-2-2-2-2-2-220020022i2i−2i−2i00−2i2i00000000000000
χ282222-2-2-2-2-2-2-22002002−2i−2i2i2i002i−2i00000000000000
χ2944-4-400400-4000000000000000000002-22-2000000
χ3044-4-400400-400000000000000000000-22-22000000
χ3144-4-400-4004000000000000000000002i−2i−2i2i000000
χ3244-4-400-400400000000000000000000−2i2i2i−2i000000
χ334-44-4400-400004-400000000000000000000000000
χ344-44-4400-40000-4400000000000000000000000000
χ354-44-4-400400000004i−4i00000000000000000000000
χ364-44-4-40040000000−4i4i00000000000000000000000
χ374-4-440400-40000000002i2−2i22i2−2i2000000000000000000
χ384-4-440400-4000000000−2i22i2−2i22i2000000000000000000
χ394-4-440-400400000000022−22−2222000000000000000000
χ404-4-440-4004000000000−222222−22000000000000000000

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