Finite Group Databasebeta

← Group #7432

Character table — Group #7432

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size1111224444448888888888161616161616161616
order12442422244444444444888888816161616
χ11111111111111111111111111111111
χ21111111111111111111111-1-11-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-111-1-11-1-11111
χ51111111-1-1-1-11iiii−i−i−i−i-1-1111-1-1ii−i−i
χ61111111-1-1-1-11iiii−i−i−i−i-1-1-1-1111−i−iii
χ71111111-1-1-1-11−i−i−i−iiiii-1-1111-1-1−i−iii
χ81111111-1-1-1-11−i−i−i−iiiii-1-1-1-1111ii−i−i
χ922222222222200000000-2-200-2000000
χ102222222-2-2-2-22000000002200-2000000
χ1122-2-22-2222-2-2-2000000000000000i2−i2i2−i2
χ1222-2-22-2222-2-2-2000000000000000−i2i2−i2i2
χ1322-2-22-22-2-222-20000000000000002−2−22
χ1422-2-22-22-2-222-2000000000000000−222−2
χ1522-2-22-2-2000021+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i000000000
χ1622-2-22-2-2000021−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i000000000
χ1722-2-22-2-200002−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i000000000
χ1822-2-22-2-200002−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i000000000
χ19444444-40000-40000000000000000000
χ204444-4-400000000000000000002-20000
χ214444-4-40000000000000000000-220000
χ2244-4-4-4400000000000000002i−2i0000000
χ2344-4-4-440000000000000000−2i2i0000000
χ244-44i−4i0002-22i−2i01+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000000
χ254-44i−4i0002-22i−2i0−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000000
χ264-44i−4i000-22−2i2i01−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000000
χ274-44i−4i000-22−2i2i0−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000000
χ284-4−4i4i0002-2−2i2i01−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000000
χ294-4−4i4i0002-2−2i2i0−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000000
χ304-4−4i4i000-222i−2i01+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000000
χ314-4−4i4i000-222i−2i0−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000000

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