Finite Group Databasebeta

← Group #11921148

Character table — Group #11921148

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11223366666668881212121216161616181818181824242424323232323232323232327296969696
order123622444446641212121212123366444444412123366121212121212412121212
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32−1+i32
χ311111111111111111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1−i32
χ41111111111111-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1
χ51111111111111-1-1-11111−1−i32−1+i32−1−i32−1+i3211111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-1−1−i321+i32−1+i321−i32
χ61111111111111-1-1-11111−1+i32−1−i32−1+i32−1−i3211111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-1−1+i321−i32−1−i321+i32
χ7111111-111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1
χ8111111-11111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321+i321−i321−i32
χ9111111-11111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321−i321+i321+i32
χ10111111-1111111-1-1-111111111-1-1-1-1-11-1-1-11111-1-1-1-1-1-11-11-11
χ11111111-1111111-1-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-11-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i3211+i32−1−i321−i32−1+i32
χ12111111-1111111-1-1-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-11-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i3211−i32−1+i321+i32−1−i32
χ1322-1-12202222-1-12-1-1-1-1-1-122220000002-1-1-1-1-1-122-1-1-1-100000
χ1422-1-12202222-1-12-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i30000002-1-11+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i3200000
χ1522-1-12202222-1-12-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i30000002-1-11−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i3200000
χ1622-1-12202222-1-1-211-1-1-1-12222000000-211-1-1-1-1-2-2111100000
χ1722-1-12202222-1-1-211-1-1-1-1−1−i3−1+i3−1−i3−1+i3000000-2111+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i3200000
χ1822-1-12202222-1-1-211-1-1-1-1−1+i3−1−i3−1+i3−1−i3000000-2111−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i3200000
χ192-22-22-2022-2-22-200022-2-222-2-200000000022-2-200000000000
χ202-22-22-2022-2-22-200022-2-2−1−i3−1+i31+i31−i3000000000−1−i3−1+i31+i31−i300000000000
χ212-22-22-2022-2-22-200022-2-2−1+i3−1−i31−i31+i3000000000−1+i3−1−i31−i31+i300000000000
χ222-2-112-2022-2-2-1103−3-1-11122-2-200000003−3-1-111003−33−300000
χ232-2-112-2022-2-2-1103−3-1-111−1−i3−1+i31+i31−i300000003−31+i321−i32−1−i32−1+i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ242-2-112-2022-2-2-1103−3-1-111−1+i3−1−i31−i31+i300000003−31−i321+i32−1+i32−1−i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000
χ252-2-112-2022-2-2-110−33-1-11122-2-20000000−33-1-11100−33−3300000
χ262-2-112-2022-2-2-110−33-1-111−1−i3−1+i31+i31−i30000000−331+i321−i32−1−i32−1+i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ272-2-112-2022-2-2-110−33-1-111−1+i3−1−i31−i31+i30000000−331−i321+i32−1+i32−1−i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000
χ283333333-1-1-1-133333-1-1-1-100003-1-1-1-13-1-1-10000000000-10000
χ293333333-1-1-1-133-3-3-3-1-1-1-100003-1-1-1-1-3111000000000010000
χ30333333-3-1-1-1-133333-1-1-1-10000-31111-3-1-1-1000000000010000
χ31333333-3-1-1-1-133-3-3-3-1-1-1-10000-3111131110000000000-10000
χ326666-2-262i−2i2i−2i-2-20002i−2i2i−2i0000-22i2i−2i−2i0000000000000000000
χ336666-2-26−2i2i−2i2i-2-2000−2i2i−2i2i0000-2−2i−2i2i2i0000000000000000000
χ346666-2-2-62i−2i2i−2i-2-20002i−2i2i−2i00002−2i−2i2i2i0000000000000000000
χ356666-2-2-6−2i2i−2i2i-2-2000−2i2i−2i2i000022i2i−2i−2i0000000000000000000
χ3666-3-3660-2-2-2-2-3-36-3-311110000000000-211000000000000000
χ3766-3-3660-2-2-2-2-3-3-633111100000000002-1-1000000000000000
χ386-66-66-60-2-2226-6000-2-2220000000000000000000000000000
χ396-66-6-2202i−2i−2i2i-220002i−2i−2i2i000002+2i−2−2i2−2i−2+2i0000000000000000000
χ406-66-6-2202i−2i−2i2i-220002i−2i−2i2i00000−2−2i2+2i−2+2i2−2i0000000000000000000
χ416-66-6-220−2i2i2i−2i-22000−2i2i2i−2i000002−2i−2+2i2+2i−2−2i0000000000000000000
χ426-66-6-220−2i2i2i−2i-22000−2i2i2i−2i00000−2+2i2−2i−2−2i2+2i0000000000000000000
χ436-6-336-60-2-222-33033−3311-1-100000000000−33000000000000000
χ446-6-336-60-2-222-330−333311-1-1000000000003−3000000000000000
χ451212-6-6-4-404i−4i4i−4i22000−2i2i−2i2i0000000000000000000000000000
χ461212-6-6-4-40−4i4i−4i4i220002i−2i2i−2i0000000000000000000000000000
χ4712-12-66-4404i−4i−4i4i2-2000−2i2i2i−2i0000000000000000000000000000
χ4812-12-66-440−4i4i4i−4i2-20002i−2i−2i2i0000000000000000000000000000

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