Finite Group Databasebeta

← Group #14283963

Character table — Group #14283963

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222333344444888888888888101010101212121212161616161616162020202020202020202020202424242424242430303030404040404040404040606060606060606080120
order12223666444445101010412152020202020203030304444420202020126060606060608888888812121212210101010202022444242424242424242488888888124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111-1-1-1-1111111111111iiii−i−i−i−i-1-1-1-11111111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1
χ411111111111111111111111111111-1-1-1-1111111111111−i−i−i−iiiii-1-1-1-11111111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1
χ511111111111111111-11111-1-1-1-1111111111111-111-1-1-1-111-1-111-1-11111-1-1-1-1-1111111-111-1-111-1-111-1-111-1-1-1-1
χ611111111111111111-11111-1-1-1-1111111111111-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1111111-1-1-111-1-111-1-111-1-111-1-1
χ711111111111111111-11111-1-1-1-1111-1-1-1-111111-111-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-111-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii11
χ811111111111111111-11111-1-1-1-1111-1-1-1-111111-111-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-111-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i11
χ911111111-1-1-1-1111111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1
χ1011111111-1-1-1-1111111111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-11111-1iiii−i−i−i−i−i−i−i−iiiii-11
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-11111-1−i−i−i−iiiiiiiii−i−i−i−i-11
χ1311111111-1-1-1-111111-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11
χ1411111111-1-1-1-111111-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11
χ1511111111-1-1-1-111111-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1-1-111111-1-111111ii−i−i−i−iii−i−iiiii−i−i1-1
χ1611111111-1-1-1-111111-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1-1-111111-1-111111−i−iiiii−i−iii−i−i−i−iii1-1
χ17222222222222-222220-22-2-2000022222-2-2-222220-2-200000000000022-2-200000-2-222-2-20000000000000000000
χ18222222222222-222220-22-2-20000222-2-222-222220-2-2000000000000-2-22200000-2-2-2-2220000000000000000000
χ1922222222-2-2-2-2-222220-22-2-2000022222-2-22-2-2-2-20-2-200000000000022-2-20000022-2-2220000000000000000000
χ2022222222-2-2-2-2-222220-22-2-20000222-2-2222-2-2-2-20-2-2000000000000-2-222000002222-2-20000000000000000000
χ212222-1-1-1-10000222222-1-1222222-1-1-1222200000-1-1-1-1-1-1-122222222-1-1-1-1000000000002-1-1-1-1-1-1-1-100000000-10
χ222222-1-1-1-10000222222-1-1222222-1-1-1222200000-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-10000000000021111111100000000-10
χ232222-1-1-1-10000222222-1-1222222-1-1-1-2-2-2-200000-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i111100000000000-2−i−i−i−iiiii0000000010
χ242222-1-1-1-10000222222-1-1222222-1-1-1-2-2-2-200000-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i111100000000000-2iiii−i−i−i−i0000000010
χ252222-1-1-1-1000022222-2-1-122-2-2-2-2-1-1-12222000001-1-1111122-2-222-2-2-1-1-1-100000000000-2-1-111-1-1110000000010
χ262222-1-1-1-1000022222-2-1-122-2-2-2-2-1-1-12222000001-1-11111-2-222-2-222-1-1-1-100000000000-211-1-111-1-10000000010
χ272222-1-1-1-1000022222-2-1-122-2-2-2-2-1-1-1-2-2-2-2000001-1-111112i2i−2i−2i−2i−2i2i2i1111000000000002−i−iiiii−i−i00000000-10
χ282222-1-1-1-1000022222-2-1-122-2-2-2-2-1-1-1-2-2-2-2000001-1-11111−2i−2i2i2i2i2i−2i−2i1111000000000002ii−i−i−i−iii00000000-10
χ2922-2-22-22-222-2-202-2-22002000000-2-22002i−2i022-2-200000001+i−1−i001−i−1+i00002i−2i0000000002i−2i01+i−1−i001−i−1+i001+i−1−i001−i−1+i0000
χ3022-2-22-22-222-2-202-2-22002000000-2-22002i−2i022-2-20000000−1−i1+i00−1+i1−i00002i−2i0000000002i−2i0−1−i1+i00−1+i1−i00−1−i1+i00−1+i1−i0000
χ3122-2-22-22-222-2-202-2-22002000000-2-2200−2i2i022-2-200000001−i−1+i001+i−1−i0000−2i2i000000000−2i2i01−i−1+i001+i−1−i001−i−1+i001+i−1−i0000
χ3222-2-22-22-222-2-202-2-22002000000-2-2200−2i2i022-2-20000000−1+i1−i00−1−i1+i0000−2i2i000000000−2i2i0−1+i1−i00−1−i1+i00−1+i1−i00−1−i1+i0000
χ3322-2-22-22-2-2-22202-2-22002000000-2-22002i−2i0-2-22200000001+i−1−i001−i−1+i00002i−2i000000000−2i2i01+i−1−i001−i−1+i00−1−i1+i00−1+i1−i0000
χ3422-2-22-22-2-2-22202-2-22002000000-2-22002i−2i0-2-2220000000−1−i1+i00−1+i1−i00002i−2i000000000−2i2i0−1−i1+i00−1+i1−i001+i−1−i001−i−1+i0000
χ3522-2-22-22-2-2-22202-2-22002000000-2-2200−2i2i0-2-22200000001−i−1+i001+i−1−i0000−2i2i0000000002i−2i01−i−1+i001+i−1−i00−1+i1−i00−1−i1+i0000
χ3622-2-22-22-2-2-22202-2-22002000000-2-2200−2i2i0-2-2220000000−1+i1−i00−1−i1+i0000−2i2i0000000002i−2i0−1+i1−i00−1−i1+i001−i−1+i001+i−1−i0000
χ372-22-22-2-222i−2i2i−2i02-22-20020000002-2-22i−2i0002i−2i2i−2i0000000001−i−1+i001+i−1−i2i−2i0000000002-2000001−i−1+i001+i−1−i001+i−1−i001−i−1+i00
χ382-22-22-2-222i−2i2i−2i02-22-20020000002-2-22i−2i0002i−2i2i−2i000000000−1+i1−i00−1−i1+i2i−2i0000000002-200000−1+i1−i00−1−i1+i00−1−i1+i00−1+i1−i00
χ392-22-22-2-222i−2i2i−2i02-22-20020000002-2-2−2i2i0002i−2i2i−2i0000000001+i−1−i001−i−1+i−2i2i000000000-22000001+i−1−i001−i−1+i00−1+i1−i00−1−i1+i00
χ402-22-22-2-222i−2i2i−2i02-22-20020000002-2-2−2i2i0002i−2i2i−2i000000000−1−i1+i00−1+i1−i−2i2i000000000-2200000−1−i1+i00−1+i1−i001−i−1+i001+i−1−i00
χ412-22-22-2-22−2i2i−2i2i02-22-20020000002-2-22i−2i000−2i2i−2i2i0000000001−i−1+i001+i−1−i2i−2i000000000-22000001−i−1+i001+i−1−i00−1−i1+i00−1+i1−i00
χ422-22-22-2-22−2i2i−2i2i02-22-20020000002-2-22i−2i000−2i2i−2i2i000000000−1+i1−i00−1−i1+i2i−2i000000000-2200000−1+i1−i00−1−i1+i001+i−1−i001−i−1+i00
χ432-22-22-2-22−2i2i−2i2i02-22-20020000002-2-2−2i2i000−2i2i−2i2i0000000001+i−1−i001−i−1+i−2i2i0000000002-2000001+i−1−i001−i−1+i001−i−1+i001+i−1−i00
χ442-22-22-2-22−2i2i−2i2i02-22-20020000002-2-2−2i2i000−2i2i−2i2i000000000−1−i1+i00−1+i1−i−2i2i0000000002-200000−1−i1+i00−1+i1−i00−1+i1−i00−1−i1+i00
χ454444444444444-1-1-1-144-1-1-1-1-1-1-1-1-1-100004-1-1-1-14-1-1-1-1-1-10000000000004-1-1-1-1-1-100000000000000000000000
χ464444444444444-1-1-1-1-44-1-1-11111-1-1-100004-1-1-1-1-4-1-11111000000000000-41111-1-100000000000000000000000
χ47444444444444-4-1-1-1-10-4-11155−5−5-1-1-10000-4-1-1-1-101155−5−5000000000000055−5−51100000000000000000000000
χ48444444444444-4-1-1-1-10-4-111−5−555-1-1-10000-4-1-1-1-1011−5−5550000000000000−5−5551100000000000000000000000
χ4944444444-4-4-4-44-1-1-1-144-1-1-1-1-1-1-1-1-1-10000-411114-1-1-1-1-1-1000000000000-411111100000000000000000000000
χ5044444444-4-4-4-44-1-1-1-1-44-1-1-11111-1-1-10000-41111-4-1-111110000000000004-1-1-1-11100000000000000000000000
χ5144444444-4-4-4-4-4-1-1-1-10-4-11155−5−5-1-1-100004111101155−5−50000000000000−5−555-1-100000000000000000000000
χ5244444444-4-4-4-4-4-1-1-1-10-4-111−5−555-1-1-1000041111011−5−555000000000000055−5−5-1-100000000000000000000000
χ534444-2-2-2-20000-4444402-2-4-40000-2-2-244-4-400000022000000000000-2-222000000000000000000000000000000
χ544444-2-2-2-20000-4444402-2-4-40000-2-2-2-4-4440000002200000000000022-2-2000000000000000000000000000000
χ5544-4-4-22-22000004-4-4400-200000022-2004i−4i0000000000002+2i−2−2i002−2i−2+2i0000−2i2i000000000000−1−i1+i00−1+i1−i000000000000
χ5644-4-4-22-22000004-4-4400-200000022-2004i−4i000000000000−2−2i2+2i00−2+2i2−2i0000−2i2i0000000000001+i−1−i001−i−1+i000000000000
χ5744-4-4-22-22000004-4-4400-200000022-200−4i4i0000000000002−2i−2+2i002+2i−2−2i00002i−2i000000000000−1+i1−i00−1−i1+i000000000000
χ5844-4-4-22-22000004-4-4400-200000022-200−4i4i000000000000−2+2i2−2i00−2−2i2+2i00002i−2i0000000000001−i−1+i001+i−1−i000000000000
χ594-44-4-222-2000004-44-400-2000000-2224i−4i00000000000000002−2i−2+2i002+2i−2−2i−2i2i0000000000000000−1+i1−i00−1−i1+i0000000000
χ604-44-4-222-2000004-44-400-2000000-2224i−4i0000000000000000−2+2i2−2i00−2−2i2+2i−2i2i00000000000000001−i−1+i001+i−1−i0000000000
χ614-44-4-222-2000004-44-400-2000000-222−4i4i00000000000000002+2i−2−2i002−2i−2+2i2i−2i0000000000000000−1−i1+i00−1+i1−i0000000000
χ624-44-4-222-2000004-44-400-2000000-222−4i4i0000000000000000−2−2i2+2i00−2+2i2−2i2i−2i00000000000000001+i−1−i001−i−1+i0000000000
χ634-4-4444-4-44i−4i−4i4i044-4-4004000000-44-4000004i−4i−4i4i0000000000000000000000000000000000000000000000000
χ644-4-4444-4-44i−4i−4i4i0-1-11100-15−5−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ191-1100000−iii−i05−5−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ190000000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18i5−i500000000000000000000000
χ654-4-4444-4-44i−4i−4i4i0-1-11100-15−5ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ191-1100000−iii−i05−5ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ190000000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18i5−i500000000000000000000000
χ664-4-4444-4-44i−4i−4i4i0-1-11100-1−55ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ191-1100000−iii−i0−55ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ190000000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−i5i500000000000000000000000
χ674-4-4444-4-44i−4i−4i4i0-1-11100-1−55−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ191-1100000−iii−i0−55−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ190000000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−i5i500000000000000000000000
χ684-4-4444-4-4−4i4i4i−4i044-4-4004000000-44-400000−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ694-4-4444-4-4−4i4i4i−4i0-1-11100-15−5−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ191-1100000i−i−ii05−5−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ190000000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−i5i500000000000000000000000
χ704-4-4444-4-4−4i4i4i−4i0-1-11100-15−5ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ191-1100000i−i−ii05−5ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ190000000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−i5i500000000000000000000000
χ714-4-4444-4-4−4i4i4i−4i0-1-11100-1−55ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ191-1100000i−i−ii0−55ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ190000000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18i5−i500000000000000000000000
χ724-4-4444-4-4−4i4i4i−4i0-1-11100-1−55−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ191-1100000i−i−ii0−55−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ190000000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18i5−i500000000000000000000000
χ738888-4-4-4-400008-2-2-2-28-41-2-2-2-2-2-2111000000000-4111111000000000000000000000000000000000000000000
χ748888-4-4-4-400008-2-2-2-2-8-41-2-22222111000000000411-1-1-1-1000000000000000000000000000000000000000000
χ758888-4-4-4-40000-8-2-2-2-2041222525−25−251110000000000-1-1−5−555000000000000000000000000000000000000000000
χ768888-4-4-4-40000-8-2-2-2-204122−25−2525251110000000000-1-155−5−5000000000000000000000000000000000000000000
χ7788-8-88-88-888-8-80-222-200-200000022-200000-2-2220000000000000000000000000000000000000000000000000
χ7888-8-88-88-8-8-8880-222-200-200000022-20000022-2-20000000000000000000000000000000000000000000000000
χ798-88-88-8-888i−8i8i−8i0-22-2200-2000000-22200000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ808-88-88-8-88−8i8i−8i8i0-22-2200-2000000-222000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ818-8-88-4-4440000088-8-800-40000004-440000000000000000000000000000000000000000000000000000000000
χ828-8-88-4-44400000-2-22200125−25−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19-11-10000000000−55ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000000000000000000000000000000000000
χ838-8-88-4-44400000-2-22200125−252ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19-11-10000000000−55−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000000000000000000000000000000000000
χ848-8-88-4-44400000-2-222001−25252ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ19-11-100000000005−5−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000000000000000000000000000000000000
χ858-8-88-4-44400000-2-222001−2525−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19-11-100000000005−5ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000000000000000000000000000000000000
χ861616-16-16-88-8800000-444-4002000000-2-220000000000000000000000000000000000000000000000000000000000
χ8716-1616-16-888-800000-44-440020000002-2-20000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.