Finite Group Databasebeta

← Group #11923492

Character table — Group #11923492

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11114444444466666666888812121818242424242424242424242424323232323232323236363636484848484848
order124433661212121222448888361212242466121224242424242424243366121212122488666121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11
χ31111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i321−1−i32−1+i321
χ41111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-11111-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i3211+i321−i321
χ51111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i321−1+i32−1−i321
χ61111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-11111-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i3211−i321+i321
χ711-1-11111-1-1-1-1-1-11111-1-111-1-11-11-1-1-11111-1-111-1-11111-1-1-1-1-111-111-1-1-11
χ811-1-11111-1-1-1-1-1-111-1-11111-1-1-111-1-1-111-1-111-1-1111111-1-1-1-11-1-11-1-1-1111
χ911-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-11111-1-111-1-11-11-11+i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1−1−i32−1+i32-11+i321−i321
χ1011-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-1-11111-1-1-111-11+i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-111+i321−i32-1−1−i32−1+i321
χ1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-11111-1-111-1-11-11-11−i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1−1+i32−1−i32-11−i321+i321
χ1211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-1-11111-1-1-111-11−i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-111−i321+i32-1−1+i32−1−i321
χ1322222222222222220000-1-1-1-10022222200000000-1-1-1-1-1-1-1-1000000-100-1
χ142222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322220000-1-1-1-10022−1−i3−1+i3−1−i3−1+i3000000001+i321−i321+i321−i321+i321+i321−i321−i32000000-100-1
χ152222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322220000-1-1-1-10022−1+i3−1−i3−1+i3−1−i3000000001−i321+i321−i321+i321−i321−i321+i321+i32000000-100-1
χ1622-2-22222-2-2-2-2-2-2220000-1-111002-2-2-22200000000-1-1-1-11111000000100-1
χ1722-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-2-2220000-1-111002-21+i31−i3−1−i3−1+i3000000001+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32000000100-1
χ1822-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-2-2220000-1-111002-21−i31+i3−1+i3−1−i3000000001−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32000000100-1
χ193333000000003-1-133333333333-1-100000000000000000000-1-1-1-100-100-1
χ203333000000003-1-13-3-3-3-33333-3-3-1-100000000000000000000111100-100-1
χ21333333333333-133-111110000-1-1-1-1-1-1-1-11111111100000000-1-111-1-10-1-10
χ22333333333333-133-1-1-1-1-1000011-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011-1-1110110
χ233333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-133-111110000-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000-1-1111+i321−i3201+i321−i320
χ243333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-133-1-1-1-1-1000011-1-11+i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i320000000011-1-1−1−i32−1+i320−1−i32−1+i320
χ253333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-133-111110000-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000-1-1111−i321+i3201−i321+i320
χ263333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-133-1-1-1-1-1000011-1-11−i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i320000000011-1-1−1+i32−1−i320−1+i32−1−i320
χ2733-3-300000000-31-1333-3-333-3-33-3-11000000000000000000001-1-1100100-1
χ2833-3-300000000-31-13-3-33333-3-3-33-1100000000000000000000-111-100100-1
χ2933-3-33333-3-3-3-31-33-111-1-10000-11-1111-1-111-1-111-1-1000000001-11-1-1-10110
χ3033-3-33333-3-3-3-31-33-1-1-11100001-1-1111-1-1-1-111-1-11100000000-11-11110-1-10
χ3133-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i321-33-111-1-10000-11-11−1−i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000001-11-11+i321−i320−1−i32−1+i320
χ3233-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i321-33-1-1-11100001-1-11−1−i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200000000-11-11−1−i32−1+i3201+i321−i320
χ3333-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i321-33-111-1-10000-11-11−1+i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000001-11-11−i321+i320−1+i32−1−i320
χ3433-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i321-33-1-1-11100001-1-11−1+i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3200000000-11-11−1+i32−1−i3201−i321+i320
χ354-44i−4i-2-2222i−2i2i−2i0000−2i22i222−22-222i−2i00000000−i2i22−2−i2i22−211-1-1i−ii−i0000000000
χ364-44i−4i-2-2222i−2i2i−2i00002i2−2i2−2222-222i−2i00000000i2−i2−22i2−i2−2211-1-1i−ii−i0000000000
χ374-44i−4i1+i31−i3−1−i3−1+i32ζ22−2ζ222ζ14−2ζ140000−2i22i222−22-222i−2i00000000ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ140000000000
χ384-44i−4i1+i31−i3−1−i3−1+i32ζ22−2ζ222ζ14−2ζ1400002i2−2i2−2222-222i−2i00000000−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ140000000000
χ394-44i−4i1−i31+i3−1+i3−1−i32ζ14−2ζ142ζ22−2ζ220000−2i22i222−22-222i−2i00000000ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ220000000000
χ404-44i−4i1−i31+i3−1+i3−1−i32ζ14−2ζ142ζ22−2ζ2200002i2−2i2−2222-222i−2i00000000−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ220000000000
χ414-4−4i4i-2-222−2i2i−2i2i0000−2i22i2−2222-22−2i2i00000000−i2i2−22−i2i2−2211-1-1−ii−ii0000000000
χ424-4−4i4i-2-222−2i2i−2i2i00002i2−2i222−22-22−2i2i00000000i2−i22−2i2−i22−211-1-1−ii−ii0000000000
χ434-4−4i4i1+i31−i3−1−i3−1+i3−2ζ222ζ22−2ζ142ζ140000−2i22i2−2222-22−2i2i00000000ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ140000000000
χ444-4−4i4i1+i31−i3−1−i3−1+i3−2ζ222ζ22−2ζ142ζ1400002i2−2i222−22-22−2i2i00000000−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ140000000000
χ454-4−4i4i1−i31+i3−1+i3−1−i3−2ζ142ζ14−2ζ222ζ220000−2i22i2−2222-22−2i2i00000000ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−1+i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ220000000000
χ464-4−4i4i1−i31+i3−1+i3−1−i3−2ζ142ζ14−2ζ222ζ2200002i2−2i222−22-22−2i2i00000000−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−1+i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ220000000000
χ476666000000006-2-260000-3-3-3-300-2-2000000000000000000000000001001
χ4866-6-600000000-62-260000-3-33300-2200000000000000000000000000-1001
χ498-88i−8i-4-4444i−4i4i−4i000000002-2−2i2i0000000000000000-1-111−ii−ii0000000000
χ508-88i−8i2+2i32−2i3−2−2i3−2+2i34ζ22−4ζ224ζ14−4ζ14000000002-2−2i2i00000000000000001+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ140000000000
χ518-88i−8i2−2i32+2i3−2+2i3−2−2i34ζ14−4ζ144ζ22−4ζ22000000002-2−2i2i00000000000000001−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ220000000000
χ528-8−8i8i-4-444−4i4i−4i4i000000002-22i−2i0000000000000000-1-111i−ii−i0000000000
χ538-8−8i8i2+2i32−2i3−2−2i3−2+2i3−4ζ224ζ22−4ζ144ζ14000000002-22i−2i00000000000000001+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ140000000000
χ548-8−8i8i2−2i32+2i3−2+2i3−2−2i3−4ζ144ζ14−4ζ224ζ22000000002-22i−2i00000000000000001−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ220000000000
χ55999900000000-3-3-3-333330000-3-3110000000000000000000011-1-1000000
χ56999900000000-3-3-3-3-3-3-3-30000331100000000000000000000-1-111000000
χ5799-9-90000000033-3-333-3-30000-331-100000000000000000000-11-11000000
χ5899-9-90000000033-3-3-3-33300003-31-1000000000000000000001-11-1000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.