Finite Group Databasebeta

← Group #805

Character table — Group #805

Order 96.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30
size1111222222222222222222222212121212
order124423444446661212121212121212121212122488
χ1111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1
χ31111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1
χ41111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ511-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i1-1i−i
χ611-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i-11−ii
χ711-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii1-1−ii
χ811-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii-11i−i
χ922222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ1022222-12-2-2-2-2-1-1-1-1-1-1-1111111110000
χ112222-22-200002-2-2-2-222000000000000
χ122222-2-1-20000-11111-1-133−3−333−3−30000
χ132222-2-1-20000-11111-1-1−3−333−3−3330000
χ1422-2-222-20000222-2-2-2-2000000000000
χ1522-2-22-1-20000-1-1-11111−i3−i3i3i3i3i3−i3−i30000
χ1622-2-22-1-20000-1-1-11111i3i3−i3−i3−i3−i3i3i30000
χ1722-2-2-2-122i2i−2i−2i-111-1-111−i−i−i−iiiii0000
χ1822-2-2-2-12−2i−2i2i2i-111-1-111iiii−i−i−i−i0000
χ192-22i−2i0201+i−1−i1−i−1+i-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ202-22i−2i020−1−i1+i−1+i1−i-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ212-22i−2i0-101+i−1−i1−i−1+i1−i3i33−3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70000
χ222-22i−2i0-101+i−1−i1−i−1+i1i3−i3−33−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110000
χ232-22i−2i0-10−1−i1+i−1+i1−i1−i3i33−3−iiζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ70000
χ242-22i−2i0-10−1−i1+i−1+i1−i1i3−i3−33−iiζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110000
χ252-2−2i2i0201−i−1+i1+i−1−i-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ262-2−2i2i020−1+i1−i−1−i1+i-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ272-2−2i2i0-101−i−1+i1+i−1−i1−i3i3−33i−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ70000
χ282-2−2i2i0-101−i−1+i1+i−1−i1i3−i33−3i−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ110000
χ292-2−2i2i0-10−1+i1−i−1−i1+i1−i3i3−33i−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ70000
χ302-2−2i2i0-10−1+i1−i−1−i1+i1i3−i33−3i−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ110000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.