Finite Group Databasebeta

← Group #7300

Character table — Group #7300

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122244444444448888248888888888888816161616161616168888
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
χ5111111-1-11111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111-1-11111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111
χ7111111-1-11111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ8111111-1-11111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ91111-1-11111-1-1-1-11111-1111-1-1-1-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ101111-1-11111-1-1-1-11111-1111-1-1-1-1ii−i−iii−i−i-1-111-1-111−ii−ii
χ111111-1-11111-1-1-1-11111-1111-1-1-1-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ121111-1-11111-1-1-1-11111-1111-1-1-1-1−i−iii−i−iii-1-111-1-111i−ii−i
χ131111-1-1-1-111-1-111-1-1-1-11-111-1-11111-1-1-1-111ii−i−i−i−iii−iii−i
χ141111-1-1-1-111-1-111-1-1-1-11-111-1-11111-1-1-1-111−i−iiiii−i−ii−i−ii
χ151111-1-1-1-111-1-111-1-1-1-11-111-1-111-1-11111-1-1ii−i−i−i−iiii−i−ii
χ161111-1-1-1-111-1-111-1-1-1-11-111-1-111-1-11111-1-1−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
χ20222222-2-22222-2-22222-2-2-2-2-2-22200000000000000000000
χ21222222-2-2-2-2-2-2-2-2000022000000000000002−22−2−22−220000
χ22222222-2-2-2-2-2-2-2-200002200000000000000−22−222−22−20000
χ232222-2-22222-2-2-2-2-2-2-2-2-22-2-2222200000000000000000000
χ242222-2-222-2-222-2-200002-200000000000000i2−i2−i2i2i2−i2−i2i20000
χ252222-2-222-2-222-2-200002-200000000000000−i2i2i2−i2−i2i2i2−i20000
χ262222-2-2-2-222-2-22222222-2-2-222-2-200000000000000000000
χ272222-2-2-2-2-2-222220000-22000000000000002−2−22−222−20000
χ282222-2-2-2-2-2-222220000-2200000000000000−222−22−2−220000
χ2922-2-22i−2i002-22i−2i0022-2-20000002i−2i1+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000
χ3022-2-22i−2i002-22i−2i0022-2-20000002i−2i−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000
χ3122-2-22i−2i002-22i−2i00-2-222000000−2i2i1−i−1+i−1−i1+i−1+i1−i1+i−1−i000000000000
χ3222-2-22i−2i002-22i−2i00-2-222000000−2i2i−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000000000
χ3322-2-2−2i2i002-2−2i2i0022-2-2000000−2i2i1−i−1+i1+i−1−i1−i−1+i1+i−1−i000000000000
χ3422-2-2−2i2i002-2−2i2i0022-2-2000000−2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000000000
χ3522-2-2−2i2i002-2−2i2i00-2-2220000002i−2i1+i−1−i−1+i1−i−1−i1+i1−i−1+i000000000000
χ3622-2-2−2i2i002-2−2i2i00-2-2220000002i−2i−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000000000
χ3744-4-44i−4i00-44−4i4i0000000000000000000000000000000000
χ3844-4-4−4i4i00-444i−4i0000000000000000000000000000000000
χ394-44-4000000004i−4i2i2−2i22i2−2i2000022−220000000000000000000000
χ404-44-4000000004i−4i−2i22i2−2i22i20000−22220000000000000000000000
χ414-44-400000000−4i4i2i2−2i22i2−2i20000−22220000000000000000000000
χ424-44-400000000−4i4i−2i22i2−2i22i2000022−220000000000000000000000
χ434-4-44004-40000002i2−2i2−2i22i2002i2−2i2000000000000000000000000
χ444-4-44004-4000000−2i22i22i2−2i200−2i22i2000000000000000000000000
χ454-4-4400-440000002i2−2i2−2i22i200−2i22i2000000000000000000000000
χ464-4-4400-44000000−2i22i22i2−2i2002i2−2i2000000000000000000000000

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