Finite Group Databasebeta

← Group #9387

Character table — Group #9387

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222224444442244444444488888888888888884444248888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ8111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ9111111-1-1-1-1-1-111-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i
χ10111111-1-1-1-1-1-111-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii
χ11111111-1-1-1-1-1-111-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii
χ12111111-1-1-1-1-1-111-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i
χ13111111-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ14111111-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ15111111-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i
χ16111111-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii
χ172222222222-2-222-2-2-2-2-2-2-22200000000000000000000000000
χ182222222222-2-2-2-2-22222-2-2-2-200000000000000000000000000
χ19222222-2-2-2-222222-2-222-2-2-2-200000000000000000000000000
χ20222222-2-2-2-222-2-2222-2-2-2-22200000000000000000000000000
χ212222-2-222-2-22200-200002-2000000000022-2-222-2-20000000000
χ222222-2-222-2-22200-200002-20000000000-2-222-2-2220000000000
χ232222-2-222-2-2-2-20020000-22002i2i−2i−2i2i2i−2i−2i000000000000000000
χ242222-2-222-2-2-2-20020000-2200−2i−2i2i2i−2i−2i2i2i000000000000000000
χ252222-2-2-2-2222200-20000-220022-2-2-2-222000000000000000000
χ262222-2-2-2-2222200-20000-2200-2-22222-2-2000000000000000000
χ272222-2-2-2-222-2-200200002-200000000002i2i−2i−2i−2i−2i2i2i0000000000
χ282222-2-2-2-222-2-200200002-20000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ2922-2-22-22i−2i2i−2i000002i−2i2-200001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ3022-2-22-22i−2i2i−2i000002i−2i2-20000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ3122-2-22-22i−2i2i−2i00000−2i2i-2200001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ3222-2-22-22i−2i2i−2i00000−2i2i-220000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ3322-2-22-2−2i2i−2i2i000002i−2i-2200001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ3422-2-22-2−2i2i−2i2i000002i−2i-220000−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ3522-2-22-2−2i2i−2i2i00000−2i2i2-200001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ3622-2-22-2−2i2i−2i2i00000−2i2i2-20000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ3722-2-2-222i−2i−2i2i002-200000002i−2i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ3822-2-2-222i−2i−2i2i002-200000002i−2i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
χ3922-2-2-222i−2i−2i2i00-220000000−2i2i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
χ4022-2-2-222i−2i−2i2i00-220000000−2i2i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ4122-2-2-22−2i2i2i−2i002-20000000−2i2i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ4222-2-2-22−2i2i2i−2i002-20000000−2i2i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ4322-2-2-22−2i2i2i−2i00-2200000002i−2i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ4422-2-2-22−2i2i2i−2i00-2200000002i−2i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ454-44-40000004i−4i0000000000000000000000000002-22i−2i000000
χ464-44-40000004i−4i000000000000000000000000000-22−2i2i000000
χ474-44-4000000−4i4i0000000000000000000000000002-2−2i2i000000
χ484-44-4000000−4i4i000000000000000000000000000-222i−2i000000
χ498-8-88000000000000000000000000000000000000000000000

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