Finite Group Databasebeta

← Group #14282793

Character table — Group #14282793

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222333344444888888888888101010101212121212161616161616162020202020202020202020202424242424242430303030404040404040404040606060606060606080120
order12223666444445101010210101010121520203030302244420202020630303030606044446688881212420202020202044444121212122424242444448888124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111-1-1-1-1111111111111ii−i−i-1-1ii−i−i-1-11111111-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-1
χ411111111111111111111111111111-1-1-1-1111111111111−i−iii-1-1−i−iii-1-11111111-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1
χ511111111111111111-1-1-1-1-11111111111111111-1-1-1-1-111111111-1-1-1-111-111-1-1-1-11111-11111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1
χ711111111111111111-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-111ii−i−i-1-1−i−iii-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−iii-1-1ii−i−i-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
χ1011111111-1-1-1-1111111111111111111111-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111111ii−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1-11111-1ii−i−iii−i−i−i−iii−i−iii-11
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111111−i−iii-1-1−i−iii-1-1-1-1-1-1-1-1-11111-1−i−iii−i−iiiii−i−iii−i−i-11
χ1311111111-1-1-1-111111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11
χ1411111111-1-1-1-111111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11
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-1-1−i−iii-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−iii-1-1ii−i−i-1-11-1-1111111111−i−iiiii−i−iii−i−i−i−iii1-1
χ17222222222222-2222200000-22-2-222222-2-2-2222200000-2-20000220000-2-20-2-2000022-2-20000000000000000000
χ18222222222222-2222200000-22-2-2222-2-222-2222200000-2-20000-2-20000220-2-20000-2-2220000000000000000000
χ1922222222-2-2-2-2-2222200000-22-2-222222-2-22-2-2-2-200000-2-20000220000-2-20220000-2-2220000000000000000000
χ2022222222-2-2-2-2-2222200000-22-2-2222-2-2222-2-2-2-200000-2-20000-2-2000022022000022-2-20000000000000000000
χ212222-1-1-1-100002222222222-1-122-1-1-1222200000-1-1-1-1-1-1-12222-1-12222-1-1000000000002-1-1-1-1-1-1-1-100000000-10
χ222222-1-1-1-100002222222222-1-122-1-1-1222200000-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-10000000000021111111100000000-10
χ232222-1-1-1-100002222222222-1-122-1-1-1-2-2-2-200000-1-1-1-1-1-1-12i2i−2i−2i112i2i−2i−2i1100000000000-2−i−iii−i−iii0000000010
χ242222-1-1-1-100002222222222-1-122-1-1-1-2-2-2-200000-1-1-1-1-1-1-1−2i−2i2i2i11−2i−2i2i2i1100000000000-2ii−i−iii−i−i0000000010
χ252222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-122220000011111-1-12222-1-1-2-2-2-2-1-100000000000-2-1-1-1-111110000000010
χ262222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-122220000011111-1-1-2-2-2-2-1-12222-1-100000000000-21111-1-1-1-10000000010
χ272222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-1-2-2-2-20000011111-1-12i2i−2i−2i11−2i−2i2i2i11000000000002−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−2i2i2i112i2i−2i−2i11000000000002ii−i−i−i−iii00000000-10
χ2922-2-222-2-222-2-202-2-220000002002-2-2002i−2i022-2-200000001+i−1−i1−i−1+i0000002i−2i0000000002i−2i01+i−1−i1−i−1+i00001+i−1−i1−i−1+i000000
χ3022-2-222-2-222-2-202-2-220000002002-2-2002i−2i022-2-20000000−1−i1+i−1+i1−i0000002i−2i0000000002i−2i0−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i000000
χ3122-2-222-2-222-2-202-2-220000002002-2-200−2i2i022-2-200000001−i−1+i1+i−1−i000000−2i2i000000000−2i2i01−i−1+i1+i−1−i00001−i−1+i1+i−1−i000000
χ3222-2-222-2-222-2-202-2-220000002002-2-200−2i2i022-2-20000000−1+i1−i−1−i1+i000000−2i2i000000000−2i2i0−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i000000
χ3322-2-222-2-2-2-22202-2-220000002002-2-2002i−2i0-2-22200000001+i−1−i1−i−1+i0000002i−2i000000000−2i2i01+i−1−i1−i−1+i0000−1−i1+i−1+i1−i000000
χ3422-2-222-2-2-2-22202-2-220000002002-2-2002i−2i0-2-2220000000−1−i1+i−1+i1−i0000002i−2i000000000−2i2i0−1−i1+i−1+i1−i00001+i−1−i1−i−1+i000000
χ3522-2-222-2-2-2-22202-2-220000002002-2-200−2i2i0-2-22200000001−i−1+i1+i−1−i000000−2i2i0000000002i−2i01−i−1+i1+i−1−i0000−1+i1−i−1−i1+i000000
χ3622-2-222-2-2-2-22202-2-220000002002-2-200−2i2i0-2-2220000000−1+i1−i−1−i1+i000000−2i2i0000000002i−2i0−1+i1−i−1−i1+i00001−i−1+i1+i−1−i000000
χ372-22-22-2-222i−2i2i−2i02-22-2000000200-22-22-20002i−2i2i−2i00000000000-222−22−20000000002i−2i00000002−22−20000i2−i2i2−i200
χ382-22-22-2-222i−2i2i−2i02-22-2000000200-22-22-20002i−2i2i−2i00000000000-22−22−220000000002i−2i0000000−22−220000−i2i2−i2i200
χ392-22-22-2-222i−2i2i−2i02-22-2000000200-22-2-220002i−2i2i−2i000000000002-2i2−i2−i2i2000000000−2i2i0000000i2−i2−i2i20000−222−200
χ402-22-22-2-222i−2i2i−2i02-22-2000000200-22-2-220002i−2i2i−2i000000000002-2−i2i2i2−i2000000000−2i2i0000000−i2i2i2−i200002−2−2200
χ412-22-22-2-22−2i2i−2i2i02-22-2000000200-22-22-2000−2i2i−2i2i00000000000-222−22−2000000000−2i2i00000002−22−20000−i2i2−i2i200
χ422-22-22-2-22−2i2i−2i2i02-22-2000000200-22-22-2000−2i2i−2i2i00000000000-22−22−22000000000−2i2i0000000−22−220000i2−i2i2−i200
χ432-22-22-2-22−2i2i−2i2i02-22-2000000200-22-2-22000−2i2i−2i2i000000000002-2i2−i2−i2i20000000002i−2i0000000i2−i2−i2i200002−2−2200
χ442-22-22-2-22−2i2i−2i2i02-22-2000000200-22-2-22000−2i2i−2i2i000000000002-2−i2i2i2−i20000000002i−2i0000000−i2i2i2−i20000−222−200
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
χ534444-2-2-2-20000-44444000002-2-4-4-2-2-244-4-40000000000220000-2-2000022000000000000000000000000000000
χ544444-2-2-2-20000-44444000002-2-4-4-2-2-2-4-4440000000000220000220000-2-2000000000000000000000000000000
χ5544-4-4-2-222000004-4-44000000-200-222004i−4i0000000000002+2i−2−2i2−2i−2+2i000000−2i2i000000000000−1−i1+i−1+i1−i00000000000000
χ5644-4-4-2-222000004-4-44000000-200-222004i−4i000000000000−2−2i2+2i−2+2i2−2i000000−2i2i0000000000001+i−1−i1−i−1+i00000000000000
χ5744-4-4-2-222000004-4-44000000-200-22200−4i4i0000000000002−2i−2+2i2+2i−2−2i0000002i−2i000000000000−1+i1−i−1−i1+i00000000000000
χ5844-4-4-2-222000004-4-44000000-200-22200−4i4i000000000000−2+2i2−2i−2−2i2+2i0000002i−2i0000000000001−i−1+i1+i−1−i00000000000000
χ594-44-4-222-2000004-44-4000000-2002-224-40000000000000000002-222−2222−22000000000000000000−22−220000000000
χ604-44-4-222-2000004-44-4000000-2002-224-40000000000000000002-2−2222−22220000000000000000002−22−20000000000
χ614-44-4-222-2000004-44-4000000-2002-22-44000000000000000000-222i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000000
χ624-44-4-222-2000004-44-4000000-2002-22-44000000000000000000-22−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000000
χ634-4-444-44-44i−4i−4i4i044-4-4000000400-4-44000004i−4i−4i4i0000000000000000000000000000000000000000000000000
χ644-4-444-44-44i−4i−4i4i0-1-1110−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360-15−511-100000−iii−i0−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−50000000000000i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000
χ654-4-444-44-44i−4i−4i4i0-1-1110−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360-1−5511-100000−iii−i0−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−550000000000000−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000
χ664-4-444-44-44i−4i−4i4i0-1-1110ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360-15−511-100000−iii−i0ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−50000000000000i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000
χ674-4-444-44-44i−4i−4i4i0-1-1110ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360-1−5511-100000−iii−i0ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−550000000000000−i5i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000
χ684-4-444-44-4−4i4i4i−4i044-4-4000000400-4-4400000−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ694-4-444-44-4−4i4i4i−4i0-1-1110−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360-15−511-100000i−i−ii0−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−50000000000000−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000
χ704-4-444-44-4−4i4i4i−4i0-1-1110−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360-1−5511-100000i−i−ii0−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−550000000000000i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000
χ714-4-444-44-4−4i4i4i−4i0-1-1110ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360-15−511-100000i−i−ii0ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−50000000000000−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000
χ724-4-444-44-4−4i4i4i−4i0-1-1110ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360-1−5511-100000i−i−ii0ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−550000000000000i5−i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000
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
χ7788-8-888-8-888-8-80-222-2000000-200-22200000-2-2220000000000000000000000000000000000000000000000000
χ7888-8-888-8-8-8-8880-222-2000000-200-2220000022-2-20000000000000000000000000000000000000000000000000
χ798-88-88-8-888i−8i8i−8i0-22-22000000-2002-2200000−2i2i−2i2i0000000000000000000000000000000000000000000000000
χ808-88-88-8-88−8i8i−8i8i0-22-22000000-2002-22000002i−2i2i−2i0000000000000000000000000000000000000000000000000
χ818-8-88-44-440000088-8-8000000-40044-40000000000000000000000000000000000000000000000000000000000
χ828-8-88-44-4400000-2-2220−2ζ4+2ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ360125−25-1-110000000000ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−55000000000000000000000000000000000000000000
χ838-8-88-44-4400000-2-2220−2ζ4−2ζ12+2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ362ζ4−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28+2ζ3601−2525-1-110000000000ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ365−5000000000000000000000000000000000000000000
χ848-8-88-44-4400000-2-22202ζ4−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ360125−25-1-110000000000−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−55000000000000000000000000000000000000000000
χ858-8-88-44-4400000-2-22202ζ4+2ζ12−2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ36−2ζ4+2ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ3601−2525-1-110000000000−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ365−5000000000000000000000000000000000000000000
χ861616-16-16-8-88800000-444-40000002002-2-20000000000000000000000000000000000000000000000000000000000
χ8716-1616-16-888-800000-44-44000000200-22-20000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.