Finite Group Databasebeta

← Group #7489

Character table — Group #7489

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size1111224444448888888888888888161616161616
order1222224444442244444488888888444488
χ11111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ51111111-1-11-1-1-1-1111111iiii−i−i−i−iii−i−i-1-1
χ61111111-1-11-1-1-1-1111111−i−i−i−iiiii−i−iii-1-1
χ71111111-1-11-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−iii11
χ81111111-1-11-1-1-1-1-1-1-1-111−i−i−i−iiiiiii−i−i11
χ91-1-11-11111-1-1-1-11ii−i−i1-1ii−i−iii−i−i1-11-1i−i
χ101-1-11-11111-1-1-1-11ii−i−i1-1−i−iii−i−iii-11-11i−i
χ111-1-11-11111-1-1-1-11−i−iii1-1ii−i−iii−i−i-11-11−ii
χ121-1-11-11111-1-1-1-11−i−iii1-1−i−iii−i−iii1-11-1−ii
χ131-1-11-111-1-1-1111-1ii−i−i1-111-1-1-1-111−iii−i−ii
χ141-1-11-111-1-1-1111-1ii−i−i1-1-1-11111-1-1i−i−ii−ii
χ151-1-11-111-1-1-1111-1−i−iii1-111-1-1-1-111i−i−iii−i
χ161-1-11-111-1-1-1111-1−i−iii1-1-1-11111-1-1−iii−ii−i
χ17222222222222-2-20000-2-200000000000000
χ182222222-2-22-2-2220000-2-200000000000000
χ192-2-22-22222-2-2-22-20000-2200000000000000
χ202-2-22-222-2-2-222-220000-2200000000000000
χ21444444-400-4000000000000000000000000
χ224444-4-4000000002-22-20000000000000000
χ234444-4-400000000-22-220000000000000000
χ2444-4-40002i−2i02i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ2544-4-40002i−2i02i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ2644-4-4000−2i2i0−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ2744-4-4000−2i2i0−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ284-44-40002i−2i0−2i2i000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000
χ294-44-40002i−2i0−2i2i00000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000
χ304-44-4000−2i2i02i−2i000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000
χ314-44-4000−2i2i02i−2i00000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000
χ324-4-444-4000000002i−2i−2i2i0000000000000000
χ334-4-444-400000000−2i2i2i−2i0000000000000000
χ344-4-44-44-4004000000000000000000000000

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