Finite Group Databasebeta

← Group #85563

Character table — Group #85563

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30
size111133336666121212121212121212122424242432323232
order12442244224424444444448888361212
χ1111111111111111111111111111111
χ211111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ311-1-111-1-1-1-111-11iiii−i−i−i−ii−ii−i11-1-1
χ411-1-111-1-1-1-111-11−i−i−i−iiiii−ii−ii11-1-1
χ522222222222222000000000000-1-1-1-1
χ622-2-222-2-2-2-222-22000000000000-1-111
χ72-22i−2i2-22i−2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000-11i−i
χ82-22i−2i2-22i−2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000-11i−i
χ92-2−2i2i2-2−2i2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000-11−ii
χ102-2−2i2i2-2−2i2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000-11−ii
χ1133333333-1-1-1-1-1-111111111-1-1-1-10000
χ1233333333-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000
χ133333-1-1-1-13-13-1-1-11-11-11-11-111-1-10000
χ143333-1-1-1-13-13-1-1-1-11-11-11-11-1-1110000
χ153333-1-1-1-1-13-13-1-11-11-11-11-1-1-1110000
χ163333-1-1-1-1-13-13-1-1-11-11-11-1111-1-10000
χ1733-3-333-3-311-1-11-1iiii−i−i−i−i−ii−ii0000
χ1833-3-333-3-311-1-11-1−i−i−i−iiiiii−ii−i0000
χ1933-3-3-1-1111-3-131-1i−ii−i−ii−ii−iii−i0000
χ2033-3-3-1-1111-3-131-1−ii−iii−ii−ii−i−ii0000
χ2133-3-3-1-111-313-11-1i−ii−i−ii−iii−i−ii0000
χ2233-3-3-1-111-313-11-1−ii−iii−ii−i−iii−i0000
χ234-44i−4i4-44i−4i0000000000000000001-1−ii
χ244-4−4i4i4-4−4i4i0000000000000000001-1i−i
χ256666-2-2-2-2-2-2-2-2220000000000000000
χ2666-6-6-2-22222-2-2-220000000000000000
χ276-66i−6i-22−2i2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ286-66i−6i-22−2i2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ296-6−6i6i-222i−2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ306-6−6i6i-222i−2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000

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