Finite Group Databasebeta

← Group #14514371

Character table — Group #14514371

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1144556881616161624303030303040406060114455688161616162430303030304040606011445568816161616243030303030404060601144556881616161624303030303040406060
order1251044436151530302024444121288221010444663030303020244441212882210104446630303030202444412128822101044466303030302024444121288
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-111-1-1111111111111111-1-1-1-111-1-1111111111111111-1-1-1-111-1-1111111111111111-1-1-1-111-1-1
χ31111-1-111111111-1ii−i−i-1-1i−i1111-1-111111111-1ii−i−i-1-1i−i1111-1-111111111-1ii−i−i-1-1i−i1111-1-111111111-1ii−i−i-1-1i−i
χ41111-1-111111111-1−i−iii-1-1−ii1111-1-111111111-1−i−iii-1-1−ii1111-1-111111111-1−i−iii-1-1−ii1111-1-111111111-1−i−iii-1-1−ii
χ52222222-1-1-1-1-1-1220000-1-1002222222-1-1-1-1-1-1220000-1-1002222222-1-1-1-1-1-1220000-1-1002222222-1-1-1-1-1-1220000-1-100
χ62222-2-22-1-1-1-1-1-12-2000011002222-2-22-1-1-1-1-1-12-2000011002222-2-22-1-1-1-1-1-12-2000011002222-2-22-1-1-1-1-1-12-200001100
χ72-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i002-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i002-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i002-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i00
χ82-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i002-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i002-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i002-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i00
χ92-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii002-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii002-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii002-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii00
χ102-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii002-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii002-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii002-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii00
χ11333333-1000000-1-1111100-1-1333333-1000000-1-1111100-1-1333333-1000000-1-1111100-1-1333333-1000000-1-1111100-1-1
χ12333333-1000000-1-1-1-1-1-10011333333-1000000-1-1-1-1-1-10011333333-1000000-1-1-1-1-1-10011333333-1000000-1-1-1-1-1-10011
χ133333-3-3-1000000-11ii−i−i00−ii3333-3-3-1000000-11ii−i−i00−ii3333-3-3-1000000-11ii−i−i00−ii3333-3-3-1000000-11ii−i−i00−ii
χ143333-3-3-1000000-11−i−iii00i−i3333-3-3-1000000-11−i−iii00i−i3333-3-3-1000000-11−i−iii00i−i3333-3-3-1000000-11−i−iii00i−i
χ1544-1-100444-1-1-1-1-100000000044-1-100444-1-1-1-1-100000000044-1-100444-1-1-1-1-100000000044-1-100444-1-1-1-1-1000000000
χ1644-1-1004-2-21−i1521+i1521−i1521+i152-100000000044-1-1004-2-21−i1521+i1521−i1521+i152-100000000044-1-1004-2-21−i1521+i1521−i1521+i152-100000000044-1-1004-2-21−i1521+i1521−i1521+i152-1000000000
χ1744-1-1004-2-21+i1521−i1521+i1521−i152-100000000044-1-1004-2-21+i1521−i1521+i1521−i152-100000000044-1-1004-2-21+i1521−i1521+i1521−i152-100000000044-1-1004-2-21+i1521−i1521+i1521−i152-1000000000
χ184-44-44i−4i01-111-1-1000000−ii004-44-44i−4i01-111-1-1000000−ii004-44-44i−4i01-111-1-1000000−ii004-44-44i−4i01-111-1-1000000−ii00
χ194-44-4−4i4i01-111-1-1000000i−i004-44-4−4i4i01-111-1-1000000i−i004-44-4−4i4i01-111-1-1000000i−i004-44-4−4i4i01-111-1-1000000i−i00
χ208-8-220002-2−1−i152−1+i1521+i1521−i15200000000008-8-220002-2−1−i152−1+i1521+i1521−i15200000000008-8-220002-2−1−i152−1+i1521+i1521−i15200000000008-8-220002-2−1−i152−1+i1521+i1521−i1520000000000
χ218-8-220002-2−1+i152−1−i1521−i1521+i15200000000008-8-220002-2−1+i152−1−i1521−i1521+i15200000000008-8-220002-2−1+i152−1−i1521−i1521+i15200000000008-8-220002-2−1+i152−1−i1521−i1521+i1520000000000
χ228-8-22000-4411-1-100000000008-8-22000-4411-1-100000000008-8-22000-4411-1-100000000008-8-22000-4411-1-10000000000
χ231212-3-300-400000010000000001212-3-300-400000010000000001212-3-300-400000010000000001212-3-300-40000001000000000
χ2411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ25111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ261111-1-111111111-1ii−i−i-1-1i−i-1-1-1-111-1-1-1-1-1-1-1-11−i−iii11−ii1111-1-111111111-1ii−i−i-1-1i−i-1-1-1-111-1-1-1-1-1-1-1-11−i−iii11−ii
χ271111-1-111111111-1−i−iii-1-1−ii-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i11i−i1111-1-111111111-1−i−iii-1-1−ii-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i11i−i
χ282222222-1-1-1-1-1-1220000-1-100-2-2-2-2-2-2-2111111-2-2000011002222222-1-1-1-1-1-1220000-1-100-2-2-2-2-2-2-2111111-2-200001100
χ292222-2-22-1-1-1-1-1-12-200001100-2-2-2-222-2111111-220000-1-1002222-2-22-1-1-1-1-1-12-200001100-2-2-2-222-2111111-220000-1-100
χ302-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i00-22-22−2i2i01-111-1-100−1−i1+i−1+i1−i−ii002-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i00-22-22−2i2i01-111-1-100−1−i1+i−1+i1−i−ii00
χ312-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i00-22-22−2i2i01-111-1-1001+i−1−i1−i−1+i−ii002-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i00-22-22−2i2i01-111-1-1001+i−1−i1−i−1+i−ii00
χ322-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii00-22-222i−2i01-111-1-100−1+i1−i−1−i1+ii−i002-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii00-22-222i−2i01-111-1-100−1+i1−i−1−i1+ii−i00
χ332-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii00-22-222i−2i01-111-1-1001−i−1+i1+i−1−ii−i002-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii00-22-222i−2i01-111-1-1001−i−1+i1+i−1−ii−i00
χ34333333-1000000-1-1111100-1-1-3-3-3-3-3-3100000011-1-1-1-10011333333-1000000-1-1111100-1-1-3-3-3-3-3-3100000011-1-1-1-10011
χ35333333-1000000-1-1-1-1-1-10011-3-3-3-3-3-3100000011111100-1-1333333-1000000-1-1-1-1-1-10011-3-3-3-3-3-3100000011111100-1-1
χ363333-3-3-1000000-11ii−i−i00−ii-3-3-3-33310000001-1−i−iii00i−i3333-3-3-1000000-11ii−i−i00−ii-3-3-3-33310000001-1−i−iii00i−i
χ373333-3-3-1000000-11−i−iii00i−i-3-3-3-33310000001-1ii−i−i00−ii3333-3-3-1000000-11−i−iii00i−i-3-3-3-33310000001-1ii−i−i00−ii
χ3844-1-100444-1-1-1-1-1000000000-4-41100-4-4-41111100000000044-1-100444-1-1-1-1-1000000000-4-41100-4-4-411111000000000
χ3944-1-1004-2-21−i1521+i1521−i1521+i152-1000000000-4-41100-422−1+i152−1−i152−1+i152−1−i152100000000044-1-1004-2-21−i1521+i1521−i1521+i152-1000000000-4-41100-422−1+i152−1−i152−1+i152−1−i1521000000000
χ4044-1-1004-2-21+i1521−i1521+i1521−i152-1000000000-4-41100-422−1−i152−1+i152−1−i152−1+i152100000000044-1-1004-2-21+i1521−i1521+i1521−i152-1000000000-4-41100-422−1−i152−1+i152−1−i152−1+i1521000000000
χ414-44-44i−4i01-111-1-1000000−ii00-44-44−4i4i0-11-1-111000000i−i004-44-44i−4i01-111-1-1000000−ii00-44-44−4i4i0-11-1-111000000i−i00
χ424-44-4−4i4i01-111-1-1000000i−i00-44-444i−4i0-11-1-111000000−ii004-44-4−4i4i01-111-1-1000000i−i00-44-444i−4i0-11-1-111000000−ii00
χ438-8-220002-2−1−i152−1+i1521+i1521−i1520000000000-882-2000-221+i1521−i152−1−i152−1+i15200000000008-8-220002-2−1−i152−1+i1521+i1521−i1520000000000-882-2000-221+i1521−i152−1−i152−1+i1520000000000
χ448-8-220002-2−1+i152−1−i1521−i1521+i1520000000000-882-2000-221−i1521+i152−1+i152−1−i15200000000008-8-220002-2−1+i152−1−i1521−i1521+i1520000000000-882-2000-221−i1521+i152−1+i152−1−i1520000000000
χ458-8-22000-4411-1-10000000000-882-20004-4-1-11100000000008-8-22000-4411-1-10000000000-882-20004-4-1-1110000000000
χ461212-3-300-40000001000000000-12-1233004000000-10000000001212-3-300-40000001000000000-12-1233004000000-1000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ48111111111111111-1-1-1-111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ491111-1-111111111-1ii−i−i-1-1i−i1111-1-111111111-1ii−i−i-1-1i−i-1-1-1-111-1-1-1-1-1-1-1-11−i−iii11−ii-1-1-1-111-1-1-1-1-1-1-1-11−i−iii11−ii
χ501111-1-111111111-1−i−iii-1-1−ii1111-1-111111111-1−i−iii-1-1−ii-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i11i−i-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i11i−i
χ512222222-1-1-1-1-1-1220000-1-1002222222-1-1-1-1-1-1220000-1-100-2-2-2-2-2-2-2111111-2-200001100-2-2-2-2-2-2-2111111-2-200001100
χ522222-2-22-1-1-1-1-1-12-2000011002222-2-22-1-1-1-1-1-12-200001100-2-2-2-222-2111111-220000-1-100-2-2-2-222-2111111-220000-1-100
χ532-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i002-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i00-22-22−2i2i01-111-1-100−1−i1+i−1+i1−i−ii00-22-22−2i2i01-111-1-100−1−i1+i−1+i1−i−ii00
χ542-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i002-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i00-22-22−2i2i01-111-1-1001+i−1−i1−i−1+i−ii00-22-22−2i2i01-111-1-1001+i−1−i1−i−1+i−ii00
χ552-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii002-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii00-22-222i−2i01-111-1-100−1+i1−i−1−i1+ii−i00-22-222i−2i01-111-1-100−1+i1−i−1−i1+ii−i00
χ562-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii002-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii00-22-222i−2i01-111-1-1001−i−1+i1+i−1−ii−i00-22-222i−2i01-111-1-1001−i−1+i1+i−1−ii−i00
χ57333333-1000000-1-1111100-1-1333333-1000000-1-1111100-1-1-3-3-3-3-3-3100000011-1-1-1-10011-3-3-3-3-3-3100000011-1-1-1-10011
χ58333333-1000000-1-1-1-1-1-10011333333-1000000-1-1-1-1-1-10011-3-3-3-3-3-3100000011111100-1-1-3-3-3-3-3-3100000011111100-1-1
χ593333-3-3-1000000-11ii−i−i00−ii3333-3-3-1000000-11ii−i−i00−ii-3-3-3-33310000001-1−i−iii00i−i-3-3-3-33310000001-1−i−iii00i−i
χ603333-3-3-1000000-11−i−iii00i−i3333-3-3-1000000-11−i−iii00i−i-3-3-3-33310000001-1ii−i−i00−ii-3-3-3-33310000001-1ii−i−i00−ii
χ6144-1-100444-1-1-1-1-100000000044-1-100444-1-1-1-1-1000000000-4-41100-4-4-411111000000000-4-41100-4-4-411111000000000
χ6244-1-1004-2-21−i1521+i1521−i1521+i152-100000000044-1-1004-2-21−i1521+i1521−i1521+i152-1000000000-4-41100-422−1+i152−1−i152−1+i152−1−i1521000000000-4-41100-422−1+i152−1−i152−1+i152−1−i1521000000000
χ6344-1-1004-2-21+i1521−i1521+i1521−i152-100000000044-1-1004-2-21+i1521−i1521+i1521−i152-1000000000-4-41100-422−1−i152−1+i152−1−i152−1+i1521000000000-4-41100-422−1−i152−1+i152−1−i152−1+i1521000000000
χ644-44-44i−4i01-111-1-1000000−ii004-44-44i−4i01-111-1-1000000−ii00-44-44−4i4i0-11-1-111000000i−i00-44-44−4i4i0-11-1-111000000i−i00
χ654-44-4−4i4i01-111-1-1000000i−i004-44-4−4i4i01-111-1-1000000i−i00-44-444i−4i0-11-1-111000000−ii00-44-444i−4i0-11-1-111000000−ii00
χ668-8-220002-2−1−i152−1+i1521+i1521−i15200000000008-8-220002-2−1−i152−1+i1521+i1521−i1520000000000-882-2000-221+i1521−i152−1−i152−1+i1520000000000-882-2000-221+i1521−i152−1−i152−1+i1520000000000
χ678-8-220002-2−1+i152−1−i1521−i1521+i15200000000008-8-220002-2−1+i152−1−i1521−i1521+i1520000000000-882-2000-221−i1521+i152−1+i152−1−i1520000000000-882-2000-221−i1521+i152−1+i152−1−i1520000000000
χ688-8-22000-4411-1-100000000008-8-22000-4411-1-10000000000-882-20004-4-1-1110000000000-882-20004-4-1-1110000000000
χ691212-3-300-400000010000000001212-3-300-40000001000000000-12-1233004000000-1000000000-12-1233004000000-1000000000
χ7011111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111-1-1-1-111-1-1
χ721111-1-111111111-1ii−i−i-1-1i−i-1-1-1-111-1-1-1-1-1-1-1-11−i−iii11−ii-1-1-1-111-1-1-1-1-1-1-1-11−i−iii11−ii1111-1-111111111-1ii−i−i-1-1i−i
χ731111-1-111111111-1−i−iii-1-1−ii-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i11i−i-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i11i−i1111-1-111111111-1−i−iii-1-1−ii
χ742222222-1-1-1-1-1-1220000-1-100-2-2-2-2-2-2-2111111-2-200001100-2-2-2-2-2-2-2111111-2-2000011002222222-1-1-1-1-1-1220000-1-100
χ752222-2-22-1-1-1-1-1-12-200001100-2-2-2-222-2111111-220000-1-100-2-2-2-222-2111111-220000-1-1002222-2-22-1-1-1-1-1-12-200001100
χ762-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i00-22-22−2i2i01-111-1-100−1−i1+i−1+i1−i−ii00-22-22−2i2i01-111-1-100−1−i1+i−1+i1−i−ii002-22-22i−2i0-11-1-111001+i−1−i1−i−1+ii−i00
χ772-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i00-22-22−2i2i01-111-1-1001+i−1−i1−i−1+i−ii00-22-22−2i2i01-111-1-1001+i−1−i1−i−1+i−ii002-22-22i−2i0-11-1-11100−1−i1+i−1+i1−ii−i00
χ782-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii00-22-222i−2i01-111-1-100−1+i1−i−1−i1+ii−i00-22-222i−2i01-111-1-100−1+i1−i−1−i1+ii−i002-22-2−2i2i0-11-1-111001−i−1+i1+i−1−i−ii00
χ792-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii00-22-222i−2i01-111-1-1001−i−1+i1+i−1−ii−i00-22-222i−2i01-111-1-1001−i−1+i1+i−1−ii−i002-22-2−2i2i0-11-1-11100−1+i1−i−1−i1+i−ii00
χ80333333-1000000-1-1111100-1-1-3-3-3-3-3-3100000011-1-1-1-10011-3-3-3-3-3-3100000011-1-1-1-10011333333-1000000-1-1111100-1-1
χ81333333-1000000-1-1-1-1-1-10011-3-3-3-3-3-3100000011111100-1-1-3-3-3-3-3-3100000011111100-1-1333333-1000000-1-1-1-1-1-10011
χ823333-3-3-1000000-11ii−i−i00−ii-3-3-3-33310000001-1−i−iii00i−i-3-3-3-33310000001-1−i−iii00i−i3333-3-3-1000000-11ii−i−i00−ii
χ833333-3-3-1000000-11−i−iii00i−i-3-3-3-33310000001-1ii−i−i00−ii-3-3-3-33310000001-1ii−i−i00−ii3333-3-3-1000000-11−i−iii00i−i
χ8444-1-100444-1-1-1-1-1000000000-4-41100-4-4-411111000000000-4-41100-4-4-41111100000000044-1-100444-1-1-1-1-1000000000
χ8544-1-1004-2-21−i1521+i1521−i1521+i152-1000000000-4-41100-422−1+i152−1−i152−1+i152−1−i1521000000000-4-41100-422−1+i152−1−i152−1+i152−1−i152100000000044-1-1004-2-21−i1521+i1521−i1521+i152-1000000000
χ8644-1-1004-2-21+i1521−i1521+i1521−i152-1000000000-4-41100-422−1−i152−1+i152−1−i152−1+i1521000000000-4-41100-422−1−i152−1+i152−1−i152−1+i152100000000044-1-1004-2-21+i1521−i1521+i1521−i152-1000000000
χ874-44-44i−4i01-111-1-1000000−ii00-44-44−4i4i0-11-1-111000000i−i00-44-44−4i4i0-11-1-111000000i−i004-44-44i−4i01-111-1-1000000−ii00
χ884-44-4−4i4i01-111-1-1000000i−i00-44-444i−4i0-11-1-111000000−ii00-44-444i−4i0-11-1-111000000−ii004-44-4−4i4i01-111-1-1000000i−i00
χ898-8-220002-2−1−i152−1+i1521+i1521−i1520000000000-882-2000-221+i1521−i152−1−i152−1+i1520000000000-882-2000-221+i1521−i152−1−i152−1+i15200000000008-8-220002-2−1−i152−1+i1521+i1521−i1520000000000
χ908-8-220002-2−1+i152−1−i1521−i1521+i1520000000000-882-2000-221−i1521+i152−1+i152−1−i1520000000000-882-2000-221−i1521+i152−1+i152−1−i15200000000008-8-220002-2−1+i152−1−i1521−i1521+i1520000000000
χ918-8-22000-4411-1-10000000000-882-20004-4-1-1110000000000-882-20004-4-1-11100000000008-8-22000-4411-1-10000000000
χ921212-3-300-40000001000000000-12-1233004000000-1000000000-12-1233004000000-10000000001212-3-300-40000001000000000

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