Finite Group Databasebeta

← Group #14283997

Character table — Group #14283997

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222333344444888888888888101010101212121212161616161616162020202020202020202020202424242424242430303030404040404040404040606060606060606080120
order1222366644444510101021010101012152020303030444422020202063030303060608888888812121212410102020202044444242424242424242488888888122
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
χ511111111111111111-1-1-1-1-11111111111111111-1-1-1-1-11111-1-111-1-11111-111-1-1-1-11111-111-1-111-1-111-1-111-1-1-1-1
χ611111111111111111-1-1-1-1-11111111111111111-1-1-1-1-111-1-111-1-1111111-111-1-1-1-11111-1-1-111-1-111-1-111-1-111-1-1
χ711111111111111111-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii11
χ811111111111111111-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-111-1-1-1-1-1-1-1-11−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
χ1311111111-1-1-1-111111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-111-11
χ1411111111-1-1-1-111111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111-1-11111-1-1-1-1-1-1-111-1-11111-1-111-1-1-11
χ1511111111-1-1-1-111111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11-1-1111111111ii−i−i−i−iii−i−iiiii−i−i1-1
χ1611111111-1-1-1-111111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11-1-1111111111−i−iiiii−i−iii−i−i−i−iii1-1
χ17222222222222-2222200000-22-2-222222-2-2-2222200000-2-20000000022-2-20-2-2000022-2-20000000000000000000
χ18222222222222-2222200000-22-2-2222-2-222-2222200000-2-200000000-2-2220-2-20000-2-2220000000000000000000
χ1922222222-2-2-2-2-2222200000-22-2-222222-2-22-2-2-2-200000-2-20000000022-2-20220000-2-2220000000000000000000
χ2022222222-2-2-2-2-2222200000-22-2-2222-2-2222-2-2-2-200000-2-200000000-2-222022000022-2-20000000000000000000
χ212222-1-1-1-100002222222222-1-122-1-1-1222200000-1-1-1-1-1-1-122222222-1-1-1-1000000000002-1-1-1-1-1-1-1-100000000-10
χ222222-1-1-1-100002222222222-1-122-1-1-1222200000-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-10000000000021111111100000000-10
χ232222-1-1-1-100002222222222-1-122-1-1-1-2-2-2-200000-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i111100000000000-2−i−i−i−iiiii0000000010
χ242222-1-1-1-100002222222222-1-122-1-1-1-2-2-2-200000-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i111100000000000-2iiii−i−i−i−i0000000010
χ252222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-122220000011111-1-122-2-222-2-2-1-1-1-100000000000-2-1-111-1-1110000000010
χ262222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-122220000011111-1-1-2-222-2-222-1-1-1-100000000000-211-1-111-1-10000000010
χ272222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-1-2-2-2-20000011111-1-12i2i−2i−2i−2i−2i2i2i1111000000000002−i−iiiii−i−i00000000-10
χ282222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-1-2-2-2-20000011111-1-1−2i−2i2i2i2i2i−2i−2i1111000000000002ii−i−i−i−iii00000000-10
χ2922-2-222-2-22i2i−2i−2i022-2-20000002002-2-2002i−2i02i2i−2i−2i00000001+i−1−i001−i−1+i00002i−2i0000000002-201+i−1−i001−i−1+i001−i−1+i001+i−1−i0000
χ3022-2-222-2-22i2i−2i−2i022-2-20000002002-2-2002i−2i02i2i−2i−2i0000000−1−i1+i00−1+i1−i00002i−2i0000000002-20−1−i1+i00−1+i1−i00−1+i1−i00−1−i1+i0000
χ3122-2-222-2-22i2i−2i−2i022-2-20000002002-2-200−2i2i02i2i−2i−2i00000001−i−1+i001+i−1−i0000−2i2i000000000-2201−i−1+i001+i−1−i00−1−i1+i00−1+i1−i0000
χ3222-2-222-2-22i2i−2i−2i022-2-20000002002-2-200−2i2i02i2i−2i−2i0000000−1+i1−i00−1−i1+i0000−2i2i000000000-220−1+i1−i00−1−i1+i001+i−1−i001−i−1+i0000
χ3322-2-222-2-2−2i−2i2i2i022-2-20000002002-2-2002i−2i0−2i−2i2i2i00000001+i−1−i001−i−1+i00002i−2i000000000-2201+i−1−i001−i−1+i00−1+i1−i00−1−i1+i0000
χ3422-2-222-2-2−2i−2i2i2i022-2-20000002002-2-2002i−2i0−2i−2i2i2i0000000−1−i1+i00−1+i1−i00002i−2i000000000-220−1−i1+i00−1+i1−i001−i−1+i001+i−1−i0000
χ3522-2-222-2-2−2i−2i2i2i022-2-20000002002-2-200−2i2i0−2i−2i2i2i00000001−i−1+i001+i−1−i0000−2i2i0000000002-201−i−1+i001+i−1−i001+i−1−i001−i−1+i0000
χ3622-2-222-2-2−2i−2i2i2i022-2-20000002002-2-200−2i2i0−2i−2i2i2i0000000−1+i1−i00−1−i1+i0000−2i2i0000000002-20−1+i1−i00−1−i1+i00−1−i1+i00−1+i1−i0000
χ372-22-22-22-22i−2i2i−2i02-22-2000000200-22-22i−2i0002i−2i2i−2i0000000001+i−1−i001−i−1+i2i−2i0000000002-2000001+i−1−i001−i−1+i001−i−1+i001+i−1−i00
χ382-22-22-22-22i−2i2i−2i02-22-2000000200-22-22i−2i0002i−2i2i−2i000000000−1−i1+i00−1+i1−i2i−2i0000000002-200000−1−i1+i00−1+i1−i00−1+i1−i00−1−i1+i00
χ392-22-22-22-22i−2i2i−2i02-22-2000000200-22-2−2i2i0002i−2i2i−2i0000000001−i−1+i001+i−1−i−2i2i000000000-22000001−i−1+i001+i−1−i00−1−i1+i00−1+i1−i00
χ402-22-22-22-22i−2i2i−2i02-22-2000000200-22-2−2i2i0002i−2i2i−2i000000000−1+i1−i00−1−i1+i−2i2i000000000-2200000−1+i1−i00−1−i1+i001+i−1−i001−i−1+i00
χ412-22-22-22-2−2i2i−2i2i02-22-2000000200-22-22i−2i000−2i2i−2i2i0000000001+i−1−i001−i−1+i2i−2i000000000-22000001+i−1−i001−i−1+i00−1+i1−i00−1−i1+i00
χ422-22-22-22-2−2i2i−2i2i02-22-2000000200-22-22i−2i000−2i2i−2i2i000000000−1−i1+i00−1+i1−i2i−2i000000000-2200000−1−i1+i00−1+i1−i001−i−1+i001+i−1−i00
χ432-22-22-22-2−2i2i−2i2i02-22-2000000200-22-2−2i2i000−2i2i−2i2i0000000001−i−1+i001+i−1−i−2i2i0000000002-2000001−i−1+i001+i−1−i001+i−1−i001−i−1+i00
χ442-22-22-22-2−2i2i−2i2i02-22-2000000200-22-2−2i2i000−2i2i−2i2i000000000−1+i1−i00−1−i1+i−2i2i0000000002-200000−1+i1−i00−1−i1+i00−1−i1+i00−1+i1−i00
χ454444444444444-1-1-1-14-1-1-1-14-1-1-1-1-1-100004-1-1-1-14-1-1-1-1-1-10000000000004-1-1-1-1-1-100000000000000000000000
χ464444444444444-1-1-1-1-411114-1-1-1-1-1-100004-1-1-1-1-41111-1-1000000000000-4-1-1111100000000000000000000000
χ47444444444444-4-1-1-1-1055−5−5-4-111-1-1-10000-4-1-1-1-1055−5−51100000000000001155−5−500000000000000000000000
χ48444444444444-4-1-1-1-10−5−555-4-111-1-1-10000-4-1-1-1-10−5−55511000000000000011−5−55500000000000000000000000
χ4944444444-4-4-4-44-1-1-1-14-1-1-1-14-1-1-1-1-1-10000-411114-1-1-1-1-1-1000000000000-411111100000000000000000000000
χ5044444444-4-4-4-44-1-1-1-1-411114-1-1-1-1-1-10000-41111-41111-1-1000000000000411-1-1-1-100000000000000000000000
χ5144444444-4-4-4-4-4-1-1-1-1055−5−5-4-111-1-1-1000041111055−5−5110000000000000-1-1−5−55500000000000000000000000
χ5244444444-4-4-4-4-4-1-1-1-10−5−555-4-111-1-1-10000411110−5−555110000000000000-1-155−5−500000000000000000000000
χ534444-2-2-2-20000-44444000002-2-4-4-2-2-244-4-400000000002200000000-2-222000000000000000000000000000000
χ544444-2-2-2-20000-44444000002-2-4-4-2-2-2-4-4440000000000220000000022-2-2000000000000000000000000000000
χ5544-4-4-2-2220000044-4-4000000-200-222004i−4i0000000000002+2i−2−2i002−2i−2+2i0000−2i2i000000000000−1−i1+i00−1+i1−i000000000000
χ5644-4-4-2-2220000044-4-4000000-200-222004i−4i000000000000−2−2i2+2i00−2+2i2−2i0000−2i2i0000000000001+i−1−i001−i−1+i000000000000
χ5744-4-4-2-2220000044-4-4000000-200-22200−4i4i0000000000002−2i−2+2i002+2i−2−2i00002i−2i000000000000−1+i1−i00−1−i1+i000000000000
χ5844-4-4-2-2220000044-4-4000000-200-22200−4i4i000000000000−2+2i2−2i00−2−2i2+2i00002i−2i0000000000001−i−1+i001+i−1−i000000000000
χ594-44-4-22-22000004-44-4000000-2002-224i−4i00000000000000002+2i−2−2i002−2i−2+2i−2i2i0000000000000000−1−i1+i00−1+i1−i0000000000
χ604-44-4-22-22000004-44-4000000-2002-224i−4i0000000000000000−2−2i2+2i00−2+2i2−2i−2i2i00000000000000001+i−1−i001−i−1+i0000000000
χ614-44-4-22-22000004-44-4000000-2002-22−4i4i00000000000000002−2i−2+2i002+2i−2−2i2i−2i0000000000000000−1+i1−i00−1−i1+i0000000000
χ624-44-4-22-22000004-44-4000000-2002-22−4i4i0000000000000000−2+2i2−2i00−2−2i2+2i2i−2i00000000000000001−i−1+i001+i−1−i0000000000
χ634-4-444-4-444-4-4404-4-44000000400-4-44000004-4-440000000000000000000000000000000000000000000000000
χ644-4-444-4-444-4-440-111-10−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180-15−511-100000-111-10−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ185−500000000000005−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ1800000000000000000000000
χ654-4-444-4-444-4-440-111-10−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180-1−5511-100000-111-10−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−550000000000000−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ1800000000000000000000000
χ664-4-444-4-444-4-440-111-10ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180-15−511-100000-111-10ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ185−500000000000005−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ1800000000000000000000000
χ674-4-444-4-444-4-440-111-10ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180-1−5511-100000-111-10ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−550000000000000−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ1800000000000000000000000
χ684-4-444-4-44-444-404-4-44000000400-4-4400000-444-40000000000000000000000000000000000000000000000000
χ694-4-444-4-44-444-40-111-10−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180-15−511-1000001-1-110−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ185−50000000000000−55ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ1800000000000000000000000
χ704-4-444-4-44-444-40-111-10−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180-1−5511-1000001-1-110−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−5500000000000005−5ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ1800000000000000000000000
χ714-4-444-4-44-444-40-111-10ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180-15−511-1000001-1-110ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ185−50000000000000−55−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ1800000000000000000000000
χ724-4-444-4-44-444-40-111-10ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180-1−5511-1000001-1-110ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−5500000000000005−5−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ1800000000000000000000000
χ738888-4-4-4-400008-2-2-2-28-2-2-2-2-41-2-2111000000000-4111111000000000000000000000000000000000000000000
χ748888-4-4-4-400008-2-2-2-2-82222-41-2-21110000000004-1-1-1-111000000000000000000000000000000000000000000
χ758888-4-4-4-40000-8-2-2-2-202525−25−2541221110000000000−5−555-1-1000000000000000000000000000000000000000000
χ768888-4-4-4-40000-8-2-2-2-20−25−2525254122111000000000055−5−5-1-1000000000000000000000000000000000000000000
χ7788-8-888-8-88i8i−8i−8i0-2-222000000-200-22200000−2i−2i2i2i0000000000000000000000000000000000000000000000000
χ7888-8-888-8-8−8i−8i8i8i0-2-222000000-200-222000002i2i−2i−2i0000000000000000000000000000000000000000000000000
χ798-88-88-88-88i−8i8i−8i0-22-22000000-2002-2200000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ808-88-88-88-8−8i8i−8i8i0-22-22000000-2002-22000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ818-8-88-444-4000008-8-88000000-40044-40000000000000000000000000000000000000000000000000000000000
χ828-8-88-444-400000-222-20−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ180125−25-1-110000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−55000000000000000000000000000000000000000000
χ838-8-88-444-400000-222-20−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ1801−2525-1-110000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ185−5000000000000000000000000000000000000000000
χ848-8-88-444-400000-222-202ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ180125−25-1-110000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−55000000000000000000000000000000000000000000
χ858-8-88-444-400000-222-202ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ1801−2525-1-110000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ185−5000000000000000000000000000000000000000000
χ861616-16-16-8-88800000-4-4440000002002-2-20000000000000000000000000000000000000000000000000000000000
χ8716-1616-16-88-8800000-44-44000000200-22-20000000000000000000000000000000000000000000000000000000000

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