Finite Group Databasebeta

← Group #9012

Character table — Group #9012

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222444422442244444424444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-1-1-11111-1-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-111-1-1-1-11111-1-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-111-1-1-1-11111-1-11-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-111-1-1-1-11111-1-11-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-111-1-1-1-111-1-111-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-111-1-1-1-111-1-111-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-111-1-1-1-111-1-111-11-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-111-1-1-1-111-1-111-11-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222222-2-2-2-22222-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-222000000000000000000000000
χ1922222222-2-2-2-22-22-200000000000000000000002-22-20000
χ2022222222-2-2-2-22-22-20000000000000000000000-22-220000
χ2122222222-2-2-2-2-22-22000000000000000000000000002-22-2
χ2222222222-2-2-2-2-22-2200000000000000000000000000-22-22
χ232222-2-2-2-222-2-222-2-222-2-2-22000000000000000000000000
χ242222-2-2-2-222-2-222-2-2-2-2222-2000000000000000000000000
χ252222-2-2-2-2-2-2222-2-22000000000000000000000000002i−2i−2i2i
χ262222-2-2-2-2-2-2222-2-2200000000000000000000000000−2i2i2i−2i
χ272222-2-2-2-2-2-222-222-200000000000000000000002i−2i−2i2i0000
χ282222-2-2-2-2-2-222-222-20000000000000000000000−2i2i2i−2i0000
χ2922-2-22i2i−2i−2i2-22i−2i00002i−2i2-200000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ3022-2-22i2i−2i−2i2-22i−2i00002i−2i2-20000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ3122-2-22i2i−2i−2i2-22i−2i0000−2i2i-2200000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000
χ3222-2-22i2i−2i−2i2-22i−2i0000−2i2i-220000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000
χ3322-2-2−2i−2i2i2i2-2−2i2i00002i−2i-2200000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000
χ3422-2-2−2i−2i2i2i2-2−2i2i00002i−2i-220000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000
χ3522-2-2−2i−2i2i2i2-2−2i2i0000−2i2i2-200000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ3622-2-2−2i−2i2i2i2-2−2i2i0000−2i2i2-20000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ3744-4-44i4i−4i−4i-44−4i4i0000000000000000000000000000000000
χ3844-4-4−4i−4i4i4i-444i−4i0000000000000000000000000000000000
χ394-44-44-44-4000000000000002i−2i2i−2i00000000000000000000
χ404-44-44-44-400000000000000−2i2i−2i2i00000000000000000000
χ414-44-4-44-44000000000000002i−2i−2i2i00000000000000000000
χ424-44-4-44-4400000000000000−2i2i2i−2i00000000000000000000
χ434-4-444i−4i−4i4i0000000000000000002i−2i2-20000000000000000
χ444-4-444i−4i−4i4i000000000000000000−2i2i-220000000000000000
χ454-4-44−4i4i4i−4i0000000000000000002i−2i-220000000000000000
χ464-4-44−4i4i4i−4i000000000000000000−2i2i2-20000000000000000

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