Finite Group Databasebeta

← Group #8406

Character table — Group #8406

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222222224444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ7111111111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91-1-1-111-1111-1-111-1-111-1-11-11-1ii−i−i1-11-11-1ii−i−iii−i−iii−i−i
χ101-1-1-111-1111-1-111-1-111-1-11-11-1−i−iii1-11-11-1−i−iii−i−iii−i−iii
χ111-1-1-111-1111-1-111-1-111-1-1-11-11ii−i−i1-1-11-11ii−i−i−i−iii−i−iii
χ121-1-1-111-1111-1-111-1-111-1-1-11-11−i−iii1-1-11-11−i−iiiii−i−iii−i−i
χ131-1-1-111-1111-1-1-1-11111-1-11-1-11ii−i−i-111-1-11−i−iiiii−i−i−i−iii
χ141-1-1-111-1111-1-1-1-11111-1-11-1-11−i−iii-111-1-11ii−i−i−i−iiiii−i−i
χ151-1-1-111-1111-1-1-1-11111-1-1-111-1ii−i−i-11-111-1−i−iii−i−iiiii−i−i
χ161-1-1-111-1111-1-1-1-11111-1-1-111-1−i−iii-11-111-1ii−i−iii−i−i−i−iii
χ172222222222222222-2-2-2-200000000-2-20000000000000000
χ18222222222222-2-2-2-2-2-2-2-200000000220000000000000000
χ1922222222-2-2-2-200002-22-2002200000000-2-2000000000000
χ2022222222-2-2-2-200002-22-200-2-20000000022000000000000
χ2122222222-2-2-2-20000-22-222200000000-2-200000000000000
χ2222222222-2-2-2-20000-22-22-2-2000000002200000000000000
χ23222-22-2-2-22-22-22-22-200000000000000000000002−22−22−22−2
χ24222-22-2-2-22-22-22-22-20000000000000000000000−22−22−22−22
χ25222-22-2-2-22-22-2-22-2200000000000000000000002−22−2−22−22
χ26222-22-2-2-22-22-2-22-220000000000000000000000−22−222−22−2
χ272-2-222-22-22-2-222-2-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ282-2-222-22-22-2-222-2-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ292-2-222-22-22-2-22-222-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ302-2-222-22-22-2-22-222-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ312-2-2-222-2222-2-222-2-2-2-22200000000-220000000000000000
χ322-2-2-222-2222-2-2-2-222-2-222000000002-20000000000000000
χ332-2-2-222-22-2-22200002-2-22002-200000000-22000000000000
χ342-2-2-222-22-2-22200002-2-2200-22000000002-2000000000000
χ352-2-2-222-22-2-2220000-222-22-200000000-2200000000000000
χ362-2-2-222-22-2-2220000-222-2-22000000002-200000000000000
χ37444-44-4-4-4-44-440000000000000000000000000000000000
χ3844-44-44-4-4000000000000000000000000002-22-200000000
χ3944-44-44-4-400000000000000000000000000-22-2200000000
χ4044-4-4-4-44400000000000000002-22-2000000000000000000
χ4144-4-4-4-4440000000000000000-22-22000000000000000000
χ424-444-4-4-4400000000000000002i−2i−2i2i000000000000000000
χ434-444-4-4-440000000000000000−2i2i2i−2i000000000000000000
χ444-44-4-444-4000000000000000000000000002i−2i−2i2i00000000
χ454-44-4-444-400000000000000000000000000−2i2i2i−2i00000000
χ464-4-444-44-4-444-40000000000000000000000000000000000

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