Finite Group Databasebeta

← Group #7294

Character table — Group #7294

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122222444444448888448888888888888816161616161616168888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111-1-1-1-111111-111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ6111111-1-111-1-1-1-111111-111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−iii
χ7111111-1-111-1-1-1-111111-111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii
χ8111111-1-111-1-1-1-111111-111-1-1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i
χ91111-1-1111111-1-1-1-1-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101111-1-1111111-1-1-1-1-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ111111-1-1111111-1-1-1-1-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ121111-1-1111111-1-1-1-1-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ131111-1-1-1-111-1-111-1-1-1-1-1111-1-11111-1-1-1-111ii−i−i−i−iii−iii−i
χ141111-1-1-1-111-1-111-1-1-1-1-1111-1-11111-1-1-1-111−i−iiiii−i−ii−i−ii
χ151111-1-1-1-111-1-111-1-1-1-1-1111-1-111-1-11111-1-1ii−i−i−i−iiii−i−ii
χ161111-1-1-1-111-1-111-1-1-1-1-1111-1-111-1-11111-1-1−i−iiiii−i−i−iii−i
χ1722222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222-2-2-2-2220000-2-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ1922222222-2-2-2-2220000-2-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ20222222-2-222-2-2-2-2-2-2-2-22-2-2-2222200000000000000000000
χ21222222-2-2-2-222-2-20000-2200000000000000i2−i2i2−i2−i2i2−i2i20000
χ22222222-2-2-2-222-2-20000-2200000000000000−i2i2−i2i2i2−i2i2−i20000
χ232222-2-2222222-2-22222-2-2-2-2-2-22200000000000000000000
χ242222-2-222-2-2-2-2-2-2000022000000000000002−2−222−2−220000
χ252222-2-222-2-2-2-2-2-200002200000000000000−222−2−222−20000
χ262222-2-2-2-222-2-2222222-22-2-222-2-200000000000000000000
χ272222-2-2-2-2-2-2222200002-2000000000000002−2−22−222−20000
χ282222-2-2-2-2-2-2222200002-200000000000000−222−22−2−220000
χ2922-2-2002i−2i2-22i−2i002i2i−2i−2i0000002-2i2−i22−22−2i2−i2000000000000
χ3022-2-2002i−2i2-22i−2i002i2i−2i−2i0000002-2−i2i2−22−22−i2i2000000000000
χ3122-2-2002i−2i2-22i−2i00−2i−2i2i2i000000-222−2i2−i2−i2i2−22000000000000
χ3222-2-2002i−2i2-22i−2i00−2i−2i2i2i000000-22−22−i2i2i2−i22−2000000000000
χ3322-2-200−2i2i2-2−2i2i002i2i−2i−2i000000-222−2−i2i2i2−i2−22000000000000
χ3422-2-200−2i2i2-2−2i2i002i2i−2i−2i000000-22−22i2−i2−i2i22−2000000000000
χ3522-2-200−2i2i2-2−2i2i00−2i−2i2i2i0000002-2i2−i2−22−22i2−i2000000000000
χ3622-2-200−2i2i2-2−2i2i00−2i−2i2i2i0000002-2−i2i22−22−2−i2i2000000000000
χ3744-4-4004i−4i-44−4i4i0000000000000000000000000000000000
χ3844-4-400−4i4i-444i−4i0000000000000000000000000000000000
χ394-44-4000000004i−4i22−2222−2200002i2−2i20000000000000000000000
χ404-44-4000000004i−4i−2222−22220000−2i22i20000000000000000000000
χ414-44-400000000−4i4i22−2222−220000−2i22i20000000000000000000000
χ424-44-400000000−4i4i−2222−222200002i2−2i20000000000000000000000
χ434-4-444-4000000002i2−2i2−2i22i2002i2−2i2000000000000000000000000
χ444-4-444-400000000−2i22i22i2−2i200−2i22i2000000000000000000000000
χ454-4-44-44000000002i2−2i2−2i22i200−2i22i2000000000000000000000000
χ464-4-44-4400000000−2i22i22i2−2i2002i2−2i2000000000000000000000000

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