Finite Group Databasebeta

← Group #11921174

Character table — Group #11921174

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size112233666888121216161616182424242424243232323232323232323236367296969696
order123622266266443366244121212123366666666444661212
χ1111111111111111111111111111111111111111111
χ211111111111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ311111111111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ4111111111-1-1-11111111-1-111-1-111-1-11-1-11-1-111-111-1-1
χ5111111111-1-1-111−1−i32−1+i32−1−i32−1+i321-1-111-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i3211-1−1−i32−1+i321+i321−i32
χ6111111111-1-1-111−1+i32−1−i32−1+i32−1−i321-1-111-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i3211-1−1+i32−1−i321−i321+i32
χ7111111-111111111111-1-1111111111111111-1-1-1-1-1-1-1
χ8111111-11111111−1−i32−1+i32−1−i32−1+i32-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321−i321+i321−i32
χ9111111-11111111−1+i32−1−i32−1+i32−1−i32-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321+i321−i321+i32
χ10111111-111-1-1-1111111-11-111-1-111-1-11-1-11-1-1-1-11-1-111
χ11111111-111-1-1-111−1−i32−1+i32−1−i32−1+i32-11-111-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-1-111+i321−i32−1−i32−1+i32
χ12111111-111-1-1-111−1+i32−1−i32−1+i32−1−i32-11-111-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-1-111−i321+i32−1+i32−1−i32
χ1322-1-1220-1-12-1-1222222002-1-1-1-1-1-122-1-1-1-1-1-10000000
χ1422-1-1220-1-12-1-122−1−i3−1+i3−1−i3−1+i3002-1-1-1-11+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i320000000
χ1522-1-1220-1-12-1-122−1+i3−1−i3−1+i3−1−i3002-1-1-1-11−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i320000000
χ1622-1-1220-1-1-21122222200-2-1-111-1-1-2-2-111-1110000000
χ1722-1-1220-1-1-21122−1−i3−1+i3−1−i3−1+i300-2-1-1111+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i320000000
χ1822-1-1220-1-1-21122−1+i3−1−i3−1+i3−1−i300-2-1-1111−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i320000000
χ19333333333333-1-1000033-1-1-1-1-10000000000-1-1-10000
χ20333333333-3-3-3-1-100003-31-1-1110000000000-1-110000
χ21333333-333333-1-10000-3-3-1-1-1-1-100000000001110000
χ22333333-333-3-3-3-1-10000-331-1-111000000000011-10000
χ234-44-4-4404-400000-2-2220000000-2-2002002000000000
χ244-44-4-4404-4000001+i31−i3−1−i3−1+i300000001+i31−i300−1−i300−1+i3000000000
χ254-44-4-4404-4000001−i31+i3−1+i3−1−i300000001−i31+i300−1+i300−1−i3000000000
χ264-4-22-440-220−2i32i300-2-22200000001100-1−i3i3-1−i3i30000000
χ274-4-22-440-220−2i32i3001+i31−i3−1−i3−1+i30000000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i320000000
χ284-4-22-440-220−2i32i3001−i31+i3−1+i3−1−i30000000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i320000000
χ294-4-22-440-2202i3−2i300-2-22200000001100-1i3−i3-1i3−i30000000
χ304-4-22-440-2202i3−2i3001+i31−i3−1−i3−1+i30000000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i320000000
χ314-4-22-440-2202i3−2i3001−i31+i3−1+i3−1−i30000000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i320000000
χ326666-2-26-2-20002-20000-2002-20000000000002-200000
χ336666-2-26-2-2000-220000-200-22000000000000-2200000
χ346666-2-2-6-2-20002-200002002-2000000000000-2200000
χ356666-2-2-6-2-2000-220000200-220000000000002-200000
χ3666-3-3660-3-36-3-3-2-2000000-2111100000000000000000
χ3766-3-3660-3-3-633-2-2000000211-1-100000000000000000
χ381212-6-6-4-40220004-40000000-220000000000000000000
χ391212-6-6-4-4022000-4400000002-20000000000000000000
χ4012-1212-124-40-44000000000000000000000000000000000
χ4112-12-664-402-20000000000000023−2300000000000000000
χ4212-12-664-402-200000000000000−232300000000000000000

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