Finite Group Databasebeta

← Group #14284614

Character table — Group #14284614

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222333344444888888888888101010101212121212161616161616162020202020202020202020202424242424242430303030404040404040404040606060606060606080120
order122236664444451010102101010101215202030303044444202020206303030306060888888881212121242020202020202244224242424242424248888888864
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
χ311111111111111111111111111111-1-1-1-1111111111111ii−i−iii−i−i-1-1-1-11111111-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−i-1-1
χ411111111111111111111111111111-1-1-1-1111111111111−i−iii−i−iii-1-1-1-11111111-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii-1-1
χ511111111111111111-1-1-1-1-11111111111111111-1-1-1-1-1111111-1-1-1-11111-111-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-111111111-111-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1
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
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111111ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-11111-1iiii−i−i−i−i−i−iii−i−iii-11
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111111−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-11111-1−i−i−i−iiiiiii−i−iii−i−i-11
χ1311111111-1-1-1-111111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-11111-11
χ1411111111-1-1-1-111111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11
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−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
χ17222222222222-2222200000-22-2-22222-2-22-2222200000-2-2000000002-22-20-2-2000022-2-20000000000000000000
χ18222222222222-2222200000-22-2-2222-222-2-2222200000-2-200000000-22-220-2-20000-2-2220000000000000000000
χ1922222222-2-2-2-2-2222200000-22-2-22222-2-222-2-2-2-200000-2-2000000002-22-20220000-2-2220000000000000000000
χ2022222222-2-2-2-2-2222200000-22-2-2222-222-22-2-2-2-200000-2-200000000-22-22022000022-2-20000000000000000000
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
χ232222-1-1-1-100002222222222-1-122-1-1-1-2-2-2-200000-1-1-1-1-1-1-12i2i−2i−2i2i2i−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−2i2i2i−2i−2i2i2i111100000000000-2iiii−i−i−i−i0000000010
χ252222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-122220000011111-1-12222-2-2-2-2-1-1-1-100000000000-2-1-111-1-1110000000010
χ262222-1-1-1-1000022222-2-2-2-2-2-1-122-1-1-122220000011111-1-1-2-2-2-22222-1-1-1-100000000000-211-1-111-1-10000000010
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
χ2922-2-22-22-22i2i−2i−2i02-22-20000002002-2-202-2002i2i−2i−2i000000000002−22−20-2020000000002i−2i0002−2002−20000i2−i2i2−i200
χ3022-2-22-22-22i2i−2i−2i02-22-20000002002-2-202-2002i2i−2i−2i00000000000−22−220-2020000000002i−2i000−2200−220000−i2i2−i2i200
χ3122-2-22-22-22i2i−2i−2i02-22-20000002002-2-20-22002i2i−2i−2i00000000000i2−i2−i2i2020-2000000000−2i2i000i2−i200−i2i20000−222−200
χ3222-2-22-22-22i2i−2i−2i02-22-20000002002-2-20-22002i2i−2i−2i00000000000−i2i2i2−i2020-2000000000−2i2i000−i2i200i2−i200002−2−2200
χ3322-2-22-22-2−2i−2i2i2i02-22-20000002002-2-202-200−2i−2i2i2i000000000002−22−20-202000000000−2i2i0002−2002−20000−i2i2−i2i200
χ3422-2-22-22-2−2i−2i2i2i02-22-20000002002-2-202-200−2i−2i2i2i00000000000−22−220-202000000000−2i2i000−2200−220000i2−i2i2−i200
χ3522-2-22-22-2−2i−2i2i2i02-22-20000002002-2-20-2200−2i−2i2i2i00000000000i2−i2−i2i2020-20000000002i−2i000i2−i200−i2i200002−2−2200
χ3622-2-22-22-2−2i−2i2i2i02-22-20000002002-2-20-2200−2i−2i2i2i00000000000−i2i2i2−i2020-20000000002i−2i000−i2i200i2−i20000−222−200
χ372-2-222-2-222-22-202-2-22000000200-22-2200-202-22-20000000i2−i2i2−i2000020-2000000002-2000i2−i200i2−i200i2−i2i2−i2000000
χ382-2-222-2-222-22-202-2-22000000200-22-2200-202-22-20000000−i2i2−i2i2000020-2000000002-2000−i2i200−i2i200−i2i2−i2i2000000
χ392-2-222-2-222-22-202-2-22000000200-22-2-200202-22-200000002−2−220000-20200000000-220002−200−22002−2−22000000
χ402-2-222-2-222-22-202-2-22000000200-22-2-200202-22-20000000−222−20000-20200000000-22000−22002−200−222−2000000
χ412-2-222-2-22-22-2202-2-22000000200-22-2200-20-22-220000000i2−i2i2−i2000020-200000000-22000i2−i200i2−i200−i2i2−i2i2000000
χ422-2-222-2-22-22-2202-2-22000000200-22-2200-20-22-220000000−i2i2−i2i2000020-200000000-22000−i2i200−i2i200i2−i2i2−i2000000
χ432-2-222-2-22-22-2202-2-22000000200-22-2-20020-22-2200000002−2−220000-202000000002-20002−200−2200−222−2000000
χ442-2-222-2-22-22-2202-2-22000000200-22-2-20020-22-220000000−222−20000-202000000002-2000−22002−2002−2−22000000
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
χ534444-2-2-2-20000-44444000002-2-4-4-2-2-24-4-4400000000002200000000-22-22000000000000000000000000000000
χ544444-2-2-2-20000-44444000002-2-4-4-2-2-2-444-4000000000022000000002-22-2000000000000000000000000000000
χ5544-4-4-22-22000004-44-4000000-200-22204-40000000000000000022−2222−22020-200000000000000−2200−220000000000
χ5644-4-4-22-22000004-44-4000000-200-22204-400000000000000000−2222−2222020-2000000000000002−2002−20000000000
χ5744-4-4-22-22000004-44-4000000-200-2220-44000000000000000002i2−2i2−2i22i20-20200000000000000−i2i200i2−i20000000000
χ5844-4-4-22-22000004-44-4000000-200-2220-4400000000000000000−2i22i22i2−2i20-20200000000000000i2−i200−i2i20000000000
χ594-44-444-4-44i−4i−4i4i044-4-4000000400-4-44000004i−4i−4i4i0000000000000000000000000000000000000000000000000
χ604-44-444-4-44i−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
χ614-44-444-4-44i−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
χ624-44-444-4-44i−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
χ634-44-444-4-44i−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
χ644-44-444-4-4−4i4i4i−4i044-4-4000000400-4-4400000−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ654-44-444-4-4−4i4i4i−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
χ664-44-444-4-4−4i4i4i−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
χ674-44-444-4-4−4i4i4i−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
χ684-44-444-4-4−4i4i4i−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
χ694-4-44-222-2000004-4-44000000-2002-22400-40000000000002i2−2i22i2−2i20000-2020000000000000−i2i200−i2i2000000000000
χ704-4-44-222-2000004-4-44000000-2002-22400-4000000000000−2i22i2−2i22i20000-2020000000000000i2−i200i2−i2000000000000
χ714-4-44-222-2000004-4-44000000-2002-22-400400000000000022−22−2222000020-20000000000000−22002−2000000000000
χ724-4-44-222-2000004-4-44000000-2002-22-4004000000000000−222222−22000020-200000000000002−200−22000000000000
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
χ7788-8-88-88-88i8i−8i−8i0-22-22000000-200-22200000−2i−2i2i2i0000000000000000000000000000000000000000000000000
χ7888-8-88-88-8−8i−8i8i8i0-22-22000000-200-222000002i2i−2i−2i0000000000000000000000000000000000000000000000000
χ798-88-8-4-4440000088-8-8000000-40044-40000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-44400000-2-2220−2ζ4+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
χ818-88-8-4-44400000-2-2220−2ζ4−2ζ12+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
χ828-88-8-4-44400000-2-22202ζ4−2ζ12+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
χ838-88-8-4-44400000-2-22202ζ4+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
χ848-8-888-8-888-88-80-222-2000000-2002-2200000-22-220000000000000000000000000000000000000000000000000
χ858-8-888-8-88-88-880-222-2000000-2002-22000002-22-20000000000000000000000000000000000000000000000000
χ861616-16-16-88-8800000-44-440000002002-2-20000000000000000000000000000000000000000000000000000000000
χ8716-16-1616-888-800000-444-4000000200-22-20000000000000000000000000000000000000000000000000000000000

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