Finite Group Databasebeta

← Group #420

Character table — Group #420

Order 64.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size1111222222444411112222224444
order1244244444248822442444442488
χ11111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ511-1-1-11ii−i−i1-1i−i11-1-1-11ii−i−i1-1i−i
χ611-1-1-11ii−i−i-11−ii11-1-1-11ii−i−i-11−ii
χ711-1-1-11−i−iii1-1−ii11-1-1-11−i−iii1-1−ii
χ811-1-1-11−i−iii-11i−i11-1-1-11−i−iii-11i−i
χ92222-2-2000000002222-2-200000000
χ1022-2-22-20000000022-2-22-200000000
χ112-22i−2i001+i−1−i1−i−1+i00002-22i−2i001+i−1−i1−i−1+i0000
χ122-22i−2i00−1−i1+i−1+i1−i00002-22i−2i00−1−i1+i−1+i1−i0000
χ132-2−2i2i001−i−1+i1+i−1−i00002-2−2i2i001−i−1+i1+i−1−i0000
χ142-2−2i2i00−1+i1−i−1−i1+i00002-2−2i2i00−1+i1−i−1−i1+i0000
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ18111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ1911-1-1-11ii−i−i1-1i−i-1-1111-1−i−iii-11−ii
χ2011-1-1-11ii−i−i-11−ii-1-1111-1−i−iii1-1i−i
χ2111-1-1-11−i−iii1-1−ii-1-1111-1ii−i−i-11i−i
χ2211-1-1-11−i−iii-11i−i-1-1111-1ii−i−i1-1−ii
χ232222-2-200000000-2-2-2-22200000000
χ2422-2-22-200000000-2-222-2200000000
χ252-22i−2i001+i−1−i1−i−1+i0000-22−2i2i00−1−i1+i−1+i1−i0000
χ262-22i−2i00−1−i1+i−1+i1−i0000-22−2i2i001+i−1−i1−i−1+i0000
χ272-2−2i2i001−i−1+i1+i−1−i0000-222i−2i00−1+i1−i−1−i1+i0000
χ282-2−2i2i00−1+i1−i−1−i1+i0000-222i−2i001−i−1+i1+i−1−i0000

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