Finite Group Databasebeta

← Group #11697

Character table — Group #11697

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222444422442244444422444444448888888888888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111-1-1-1-1-1-1-1-1-1-111-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-1-1-1-1-1-1-111-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-1-1-11111-1-11-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111-1-1-1-1-1-11111-1-11-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-22-2-2200-2-20000000000000000000000
χ18222222222222-2-222-222-200-2-20000000000000000000000
χ192222-2-2-2-222-2-222-2-2-222-200-220000000000000000000000
χ202222-2-2-2-222-2-2-2-2222-2-2200-220000000000000000000000
χ212-2-2222-2-22-22-2002i−2i02i−2i00000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i
χ222-2-2222-2-22-22-2002i−2i02i−2i0000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i
χ232-2-2222-2-22-22-200−2i2i0−2i2i00000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i
χ242-2-2222-2-22-22-200−2i2i0−2i2i0000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i
χ252-2-2222-2-2-22-222-200200-20000000000i2−i2i2−i2i2−i2i2−i200000000
χ262-2-2222-2-2-22-222-200200-20000000000−i2i2−i2i2−i2i2−i2i200000000
χ272-2-2222-2-2-22-22-2200-200200000000002−22−2−22−2200000000
χ282-2-2222-2-2-22-22-2200-20020000000000−22−222−22−200000000
χ292-2-22-2-2222-2-22002i−2i0−2i2i00000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i
χ302-2-22-2-2222-2-22002i−2i0−2i2i0000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i
χ312-2-22-2-2222-2-2200−2i2i02i−2i00000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i
χ322-2-22-2-2222-2-2200−2i2i02i−2i0000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i
χ332-2-22-2-222-222-22-200-200200000000002−2−222−2−2200000000
χ342-2-22-2-222-222-22-200-20020000000000−222−2−222−200000000
χ352-2-22-2-222-222-2-2200200-20000000000i2−i2−i2i2−i2i2i2−i200000000
χ362-2-22-2-222-222-2-2200200-20000000000−i2i2i2−i2i2−i2−i2i200000000
χ3744444444-4-4-4-40000000000000000000000000000000000
χ384444-4-4-4-4-4-4440000000000000000000000000000000000
χ3944-4-44i−4i4i−4i0000000000000000002-22i−2i0000000000000000
χ4044-4-44i−4i4i−4i000000000000000000-22−2i2i0000000000000000
χ4144-4-4−4i4i−4i4i0000000000000000002-2−2i2i0000000000000000
χ4244-4-4−4i4i−4i4i000000000000000000-222i−2i0000000000000000
χ434-44-44i−4i−4i4i0000000000002-2002i−2i00000000000000000000
χ444-44-44i−4i−4i4i000000000000-2200−2i2i00000000000000000000
χ454-44-4−4i4i4i−4i0000000000002-200−2i2i00000000000000000000
χ464-44-4−4i4i4i−4i000000000000-22002i−2i00000000000000000000

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