Finite Group Databasebeta

← Group #11921176

Character table — Group #11921176

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1122336688812121616161624242424242424323232323232323232323636363696969696
order123622662664433662441212121233666666664444661212
χ1111111111111111111111111111111111111111111
χ211111111111111111-11-111111111111111-1-1-1-1-1-1-1-1
χ31111111111111−1−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+i321111−1−i32−1+i32−1−i32−1+i32
χ41111111111111−1−i32−1+i32−1−i32−1+i32-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32
χ51111111111111−1+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−i321111−1+i32−1−i32−1+i32−1−i32
χ61111111111111−1+i32−1−i32−1+i32−1−i32-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32
χ711111111-1-1-1-1-1111111-111-1-111-1-11-1-11-1-1-1-11111-1-1
χ811111111-1-1-1-1-11111-11111-1-111-1-11-1-11-1-111-1-1-1-111
χ911111111-1-1-1-1-1−1−i32−1+i32−1−i32−1+i3211-111-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-1-111−1−i32−1+i321+i321−i32
χ1011111111-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11111-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i3211-1-11+i321−i32−1−i32−1+i32
χ1111111111-1-1-1-1-1−1+i32−1−i32−1+i32−1−i3211-111-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-1-111−1+i32−1−i321−i321+i32
χ1211111111-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11111-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i3211-1-11−i321+i32−1+i32−1−i32
χ1322-1-122-1-12-1-1222222020-1-1-1-1-1-122-1-1-1-1-1-100000000
χ1422-1-122-1-12-1-122−1−i3−1+i3−1−i3−1+i3020-1-1-1-11+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i3200000000
χ1522-1-122-1-12-1-122−1+i3−1−i3−1+i3−1−i3020-1-1-1-11−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i3200000000
χ1622-1-122-1-1-211-2-22222020-1-111-1-1-2-2-111-11100000000
χ1722-1-122-1-1-211-2-2−1−i3−1+i3−1−i3−1+i3020-1-1111+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i3200000000
χ1822-1-122-1-1-211-2-2−1+i3−1−i3−1+i3−1−i3020-1-1111−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i3200000000
χ1933333333333-1-100003-13-1-1-1-10000000000-1-1-1-10000
χ2033333333333-1-10000-3-1-3-1-1-1-1000000000011110000
χ2133333333-3-3-31100003-1-3-1-111000000000011-1-10000
χ2233333333-3-3-3110000-3-13-1-1110000000000-1-1110000
χ234-44-44-44-400000-2-2220000000-2-20020020000000000
χ244-44-44-44-4000001+i31−i3−1−i3−1+i300000001+i31−i300−1−i300−1+i30000000000
χ254-44-44-44-4000001−i31+i3−1+i3−1−i300000001−i31+i300−1+i300−1−i30000000000
χ264-4-224-4-220−2i32i300-2-22200000001100-1−i3i3-1−i3i300000000
χ274-4-224-4-220−2i32i3001+i31−i3−1−i3−1+i30000000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i3200000000
χ284-4-224-4-220−2i32i3001−i31+i3−1+i3−1−i30000000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i3200000000
χ294-4-224-4-2202i3−2i300-2-22200000001100-1i3−i3-1i3−i300000000
χ304-4-224-4-2202i3−2i3001+i31−i3−1−i3−1+i30000000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i3200000000
χ314-4-224-4-2202i3−2i3001−i31+i3−1+i3−1−i30000000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i3200000000
χ3266-3-366-3-36-3-3-2-200000-201111000000000000000000
χ3366-3-366-3-3-6332200000-2011-1-1000000000000000000
χ346-66-6-22-220002i−2i0000000002i−2i00000000002-22i−2i0000
χ356-66-6-22-220002i−2i0000000002i−2i0000000000-22−2i2i0000
χ366-66-6-22-22000−2i2i000000000−2i2i00000000002-2−2i2i0000
χ376-66-6-22-22000−2i2i000000000−2i2i0000000000-222i−2i0000
χ3812121212-4-4-4-40000000000000000000000000000000000
χ391212-6-6-4-422000000000000−2i32i300000000000000000000
χ401212-6-6-4-4220000000000002i3−2i300000000000000000000
χ4112-12-66-442-20004i−4i000000000−2i2i000000000000000000
χ4212-12-66-442-2000−4i4i0000000002i−2i000000000000000000

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