Finite Group Databasebeta

← Group #14283880

Character table — Group #14283880

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11114444488888881010101020202020202020204022228888816161616161616202020204040404040404040803333121212121224242424242424303030306060606060606060120
order1222451010104202020202020444488888888236661215303030126060606060601212121224242424242424246222241010101042020202020204444888888882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11
χ31111111111111111-1-1-1-1iiii−i−i−i−i-11111111111111111-1-1-1-1iiii−i−i−i−i-11111111111111111-1-1-1-1iiii−i−i−i−i-1
χ41111111111111111-1-1-1-1−i−i−i−iiiii-11111111111111111-1-1-1-1−i−i−i−iiiii-11111111111111111-1-1-1-1−i−i−i−iiiii-1
χ5111111111-111-1-1-1-1111111-1-111-1-1-1111111111-111-1-1-1-1111111-1-111-1-1-1111111111-111-1-1-1-1111111-1-111-1-1-1
χ6111111111-111-1-1-1-11111-1-111-1-111-1111111111-111-1-1-1-11111-1-111-1-111-1111111111-111-1-1-1-11111-1-111-1-111-1
χ7111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1
χ8111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1
χ92222-222220-2-2000022-2-20000000002222-222220-2-2000022-2-20000000002222-222220-2-2000022-2-2000000000
χ102222-222220-2-20000-2-2220000000002222-222220-2-20000-2-2220000000002222-222220-2-20000-2-222000000000
χ112-22-2022-2-20000000002i−2i1+i−1−i001−i−1+i0002-22-2022-2-20000000002i−2i1+i−1−i001−i−1+i0002-22-2022-2-20000000002i−2i1+i−1−i001−i−1+i000
χ122-22-2022-2-20000000002i−2i−1−i1+i00−1+i1−i0002-22-2022-2-20000000002i−2i−1−i1+i00−1+i1−i0002-22-2022-2-20000000002i−2i−1−i1+i00−1+i1−i000
χ132-22-2022-2-2000000000−2i2i1−i−1+i001+i−1−i0002-22-2022-2-2000000000−2i2i1−i−1+i001+i−1−i0002-22-2022-2-2000000000−2i2i1−i−1+i001+i−1−i000
χ142-22-2022-2-2000000000−2i2i−1+i1−i00−1−i1+i0002-22-2022-2-2000000000−2i2i−1+i1−i00−1−i1+i0002-22-2022-2-2000000000−2i2i−1+i1−i00−1−i1+i000
χ152-2-2202-22-200000002i−2i00001−i−1+i001+i−1−i02-2-2202-22-200000002i−2i00001−i−1+i001+i−1−i02-2-2202-22-200000002i−2i00001−i−1+i001+i−1−i0
χ162-2-2202-22-200000002i−2i0000−1+i1−i00−1−i1+i02-2-2202-22-200000002i−2i0000−1+i1−i00−1−i1+i02-2-2202-22-200000002i−2i0000−1+i1−i00−1−i1+i0
χ172-2-2202-22-20000000−2i2i00001+i−1−i001−i−1+i02-2-2202-22-20000000−2i2i00001+i−1−i001−i−1+i02-2-2202-22-20000000−2i2i00001+i−1−i001−i−1+i0
χ182-2-2202-22-20000000−2i2i0000−1−i1+i00−1+i1−i02-2-2202-22-20000000−2i2i0000−1−i1+i00−1+i1−i02-2-2202-22-20000000−2i2i0000−1−i1+i00−1+i1−i0
χ1944444-1-1-1-14-1-1-1-1-1-1000000000000044444-1-1-1-14-1-1-1-1-1-1000000000000044444-1-1-1-14-1-1-1-1-1-10000000000000
χ2044444-1-1-1-1-4-1-11111000000000000044444-1-1-1-1-4-1-11111000000000000044444-1-1-1-1-4-1-111110000000000000
χ214444-4-1-1-1-101155−5−500000000000004444-4-1-1-1-101155−5−500000000000004444-4-1-1-1-101155−5−50000000000000
χ224444-4-1-1-1-1011−5−55500000000000004444-4-1-1-1-1011−5−55500000000000004444-4-1-1-1-1011−5−5550000000000000
χ2344-4-404-4-440000000000000000000044-4-404-4-440000000000000000000044-4-404-4-4400000000000000000000
χ2444-4-40-111-105−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000044-4-40-111-105−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000044-4-40-111-105−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000000000000
χ2544-4-40-111-105−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000044-4-40-111-105−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000044-4-40-111-105−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000000000000
χ2644-4-40-111-10−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000044-4-40-111-10−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000044-4-40-111-10−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000
χ2744-4-40-111-10−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000044-4-40-111-10−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000044-4-40-111-10−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000
χ288-88-80-2-222000000000000000000008-88-80-2-222000000000000000000008-88-80-2-22200000000000000000000
χ298-8-880-22-22000000000000000000008-8-880-22-22000000000000000000008-8-880-22-2200000000000000000000
χ301111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ321111111111111111-1-1-1-1iiii−i−i−i−i-11111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1
χ331111111111111111-1-1-1-1−i−i−i−iiiii-11111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1
χ34111111111-111-1-1-1-1111111-1-111-1-1-1111111111-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1111
χ35111111111-111-1-1-1-11111-1-111-1-111-1111111111-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-11
χ36111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1-1-1-1-1-1-1-1-1-11-1-111111111−i−iiiii−i−i-1
χ37111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1-1-1-1-1-1-1-1-1-11-1-111111111ii−i−i−i−iii-1
χ382222-222220-2-2000022-2-20000000002222-222220-2-2000022-2-2000000000-2-2-2-22-2-2-2-20220000-2-222000000000
χ392222-222220-2-20000-2-2220000000002222-222220-2-20000-2-222000000000-2-2-2-22-2-2-2-2022000022-2-2000000000
χ402-22-2022-2-20000000002i−2i1+i−1−i001−i−1+i0002-22-2022-2-20000000002i−2i1+i−1−i001−i−1+i000-22-220-2-222000000000−2i2i−1−i1+i00−1+i1−i000
χ412-22-2022-2-20000000002i−2i−1−i1+i00−1+i1−i0002-22-2022-2-20000000002i−2i−1−i1+i00−1+i1−i000-22-220-2-222000000000−2i2i1+i−1−i001−i−1+i000
χ422-22-2022-2-2000000000−2i2i1−i−1+i001+i−1−i0002-22-2022-2-2000000000−2i2i1−i−1+i001+i−1−i000-22-220-2-2220000000002i−2i−1+i1−i00−1−i1+i000
χ432-22-2022-2-2000000000−2i2i−1+i1−i00−1−i1+i0002-22-2022-2-2000000000−2i2i−1+i1−i00−1−i1+i000-22-220-2-2220000000002i−2i1−i−1+i001+i−1−i000
χ442-2-2202-22-200000002i−2i00001−i−1+i001+i−1−i02-2-2202-22-200000002i−2i00001−i−1+i001+i−1−i0-222-20-22-220000000−2i2i0000−1+i1−i00−1−i1+i0
χ452-2-2202-22-200000002i−2i0000−1+i1−i00−1−i1+i02-2-2202-22-200000002i−2i0000−1+i1−i00−1−i1+i0-222-20-22-220000000−2i2i00001−i−1+i001+i−1−i0
χ462-2-2202-22-20000000−2i2i00001+i−1−i001−i−1+i02-2-2202-22-20000000−2i2i00001+i−1−i001−i−1+i0-222-20-22-2200000002i−2i0000−1−i1+i00−1+i1−i0
χ472-2-2202-22-20000000−2i2i0000−1−i1+i00−1+i1−i02-2-2202-22-20000000−2i2i0000−1−i1+i00−1+i1−i0-222-20-22-2200000002i−2i00001+i−1−i001−i−1+i0
χ4844444-1-1-1-14-1-1-1-1-1-1000000000000044444-1-1-1-14-1-1-1-1-1-10000000000000-4-4-4-4-41111-41111110000000000000
χ4944444-1-1-1-1-4-1-11111000000000000044444-1-1-1-1-4-1-111110000000000000-4-4-4-4-41111411-1-1-1-10000000000000
χ504444-4-1-1-1-101155−5−500000000000004444-4-1-1-1-101155−5−50000000000000-4-4-4-4411110-1-1−5−5550000000000000
χ514444-4-1-1-1-1011−5−55500000000000004444-4-1-1-1-1011−5−5550000000000000-4-4-4-4411110-1-155−5−50000000000000
χ5244-4-404-4-440000000000000000000044-4-404-4-4400000000000000000000-4-4440-444-400000000000000000000
χ5344-4-40-111-105−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000044-4-40-111-105−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000000000000-4-44401-1-110−55ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000000000000
χ5444-4-40-111-105−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000044-4-40-111-105−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000000000000-4-44401-1-110−55−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000000000000
χ5544-4-40-111-10−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000044-4-40-111-10−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000-4-44401-1-1105−5ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000
χ5644-4-40-111-10−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000044-4-40-111-10−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000-4-44401-1-1105−5−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000
χ578-88-80-2-222000000000000000000008-88-80-2-22200000000000000000000-88-88022-2-200000000000000000000
χ588-8-880-22-22000000000000000000008-8-880-22-2200000000000000000000-888-802-22-200000000000000000000
χ5922222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
χ6022222222222222222222-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-100000000000000000000000000000
χ612222222222222222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii100000000000000000000000000000
χ622222222222222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i100000000000000000000000000000
χ63222222222-222-2-2-2-2222222-2-222-2-2-2-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-111100000000000000000000000000000
χ64222222222-222-2-2-2-22222-2-222-2-222-2-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-1100000000000000000000000000000
χ65222222222-222-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i2-1-1-1-1-1-1-1-1-11-1-111111111−i−iiiii−i−i-100000000000000000000000000000
χ66222222222-222-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i2-1-1-1-1-1-1-1-1-11-1-111111111ii−i−i−i−iii-100000000000000000000000000000
χ674444-444440-4-4000044-4-4000000000-2-2-2-22-2-2-2-20220000-2-22200000000000000000000000000000000000000
χ684444-444440-4-40000-4-444000000000-2-2-2-22-2-2-2-2022000022-2-200000000000000000000000000000000000000
χ694-44-4044-4-40000000004i−4i2+2i−2−2i002−2i−2+2i000-22-220-2-222000000000−2i2i−1−i1+i00−1+i1−i00000000000000000000000000000000
χ704-44-4044-4-40000000004i−4i−2−2i2+2i00−2+2i2−2i000-22-220-2-222000000000−2i2i1+i−1−i001−i−1+i00000000000000000000000000000000
χ714-44-4044-4-4000000000−4i4i2−2i−2+2i002+2i−2−2i000-22-220-2-2220000000002i−2i−1+i1−i00−1−i1+i00000000000000000000000000000000
χ724-44-4044-4-4000000000−4i4i−2+2i2−2i00−2−2i2+2i000-22-220-2-2220000000002i−2i1−i−1+i001+i−1−i00000000000000000000000000000000
χ734-4-4404-44-400000004i−4i00002−2i−2+2i002+2i−2−2i0-222-20-22-220000000−2i2i0000−1+i1−i00−1−i1+i000000000000000000000000000000
χ744-4-4404-44-400000004i−4i0000−2+2i2−2i00−2−2i2+2i0-222-20-22-220000000−2i2i00001−i−1+i001+i−1−i000000000000000000000000000000
χ754-4-4404-44-40000000−4i4i00002+2i−2−2i002−2i−2+2i0-222-20-22-2200000002i−2i0000−1−i1+i00−1+i1−i000000000000000000000000000000
χ764-4-4404-44-40000000−4i4i0000−2−2i2+2i00−2+2i2−2i0-222-20-22-2200000002i−2i00001+i−1−i001−i−1+i000000000000000000000000000000
χ7788888-2-2-2-28-2-2-2-2-2-20000000000000-4-4-4-4-41111-4111111000000000000000000000000000000000000000000
χ7888888-2-2-2-2-8-2-222220000000000000-4-4-4-4-41111411-1-1-1-1000000000000000000000000000000000000000000
χ798888-8-2-2-2-20222525−25−250000000000000-4-4-4-4411110-1-1−5−555000000000000000000000000000000000000000000
χ808888-8-2-2-2-2022−25−2525250000000000000-4-4-4-4411110-1-155−5−5000000000000000000000000000000000000000000
χ8188-8-808-8-8800000000000000000000-4-4440-444-40000000000000000000000000000000000000000000000000
χ8288-8-80-222-2025−25−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ180000000000000-4-44401-1-110−55ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000000000000000000000000000000000
χ8388-8-80-222-2025−252ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ180000000000000-4-44401-1-110−55−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000000000000000000000000000000000
χ8488-8-80-222-20−2525−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ180000000000000-4-44401-1-1105−5ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000000000000000000000000000000000
χ8588-8-80-222-20−25252ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ180000000000000-4-44401-1-1105−5−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000000000000000000000000000000000
χ8616-1616-160-4-44400000000000000000000-88-88022-2-20000000000000000000000000000000000000000000000000
χ8716-16-16160-44-4400000000000000000000-888-802-22-20000000000000000000000000000000000000000000000000

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