Finite Group Databasebeta

← Group #4540

Character table — Group #4540

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size11112222222244444448888881212121212121212
order12223444466641212121212122466121288888888
χ1111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1-1-11111-1-1-1-1111-111-1-1ii−i−iii−i−i
χ611111-1-1-1-11111-1-1-1-1111-111-1-1−i−iii−i−iii
χ711111-1-1-1-11111-1-1-1-111-11-1-111ii−i−i−i−iii
χ811111-1-1-1-11111-1-1-1-111-11-1-111−i−iiiii−i−i
χ92222222-2-2222-222-2-2-2-200000000000000
χ1022222-2-222222-2-2-222-2-200000000000000
χ112222-12222-1-1-12-1-1-1-1-1-122-1-1-1-100000000
χ122222-12222-1-1-12-1-1-1-1-1-1-2-2111100000000
χ132222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000
χ142222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000
χ152222-1-2-222-1-1-1-211-1-11100−i3i3i3−i300000000
χ162222-1-2-222-1-1-1-211-1-11100i3−i3−i3i300000000
χ172222-1-2-2-2-2-1-1-121111-1-12-2-1-11100000000
χ182222-1-2-2-2-2-1-1-121111-1-1-2211-1-100000000
χ1922-2-22002i−2i2-2-20002i−2i000000001+i−1−i1−i−1+i0000
χ2022-2-22002i−2i2-2-20002i−2i00000000−1−i1+i−1+i1−i0000
χ2122-2-2200−2i2i2-2-2000−2i2i000000001−i−1+i1+i−1−i0000
χ2222-2-2200−2i2i2-2-2000−2i2i00000000−1+i1−i−1−i1+i0000
χ232-22-222i−2i00-22-202i−2i000000000000001+i−1−i1−i−1+i
χ242-22-222i−2i00-22-202i−2i00000000000000−1−i1+i−1+i1−i
χ252-22-22−2i2i00-22-20−2i2i000000000000001−i−1+i1+i−1−i
χ262-22-22−2i2i00-22-20−2i2i00000000000000−1+i1−i−1−i1+i
χ2744-4-4-2004i−4i-222000−2i2i0000000000000000
χ2844-4-4-200−4i4i-2220002i−2i0000000000000000
χ294-44-4-24i−4i002-220−2i2i000000000000000000
χ304-44-4-2−4i4i002-2202i−2i000000000000000000
χ314-4-4440000-4-44000000000000000000000
χ324-4-44-2000022-200000−2i32i300000000000000
χ334-4-44-2000022-2000002i3−2i300000000000000

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