Finite Group Databasebeta

← Group #14284730

Character table — Group #14284730

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222333344444888888888888101010101212121212161616161616162020202020202020202020202424242424242430303030404040404040404040606060606060606080120
order122236664444451010102101010101215202030303044442202020206303030306060888888881212121241010202020204444224242424242424248888888864
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
χ17222222222222-2222200000-22-2-22222-22-2-2222200000-2-2000000002-22-20-2-2000022-2-20000000000000000000
χ18222222222222-2222200000-22-2-2222-22-22-2222200000-2-200000000-22-220-2-20000-2-2220000000000000000000
χ1922222222-2-2-2-2-2222200000-22-2-22222-22-22-2-2-2-200000-2-2000000002-22-20220000-2-2220000000000000000000
χ2022222222-2-2-2-2-2222200000-22-2-2222-22-222-2-2-2-200000-2-200000000-22-22022000022-2-20000000000000000000
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
χ232222-1-1-1-100002222222222-1-122-1-1-1-2-2-2-200000-1-1-1-1-1-1-12i2i2i2i−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
χ2922-2-22-22-22i2i−2i−2i022-2-20000002002-2-2020-202i2i−2i−2i00000002−2002−2000-2020000000002i−2i02−2002−200i2−i200i2−i20000
χ3022-2-22-22-22i2i−2i−2i022-2-20000002002-2-2020-202i2i−2i−2i0000000−2200−22000-2020000000002i−2i0−2200−2200−i2i200−i2i20000
χ3122-2-22-22-22i2i−2i−2i022-2-20000002002-2-20-20202i2i−2i−2i0000000i2−i200−i2i200020-2000000000−2i2i0i2−i200−i2i200−22002−20000
χ3222-2-22-22-22i2i−2i−2i022-2-20000002002-2-20-20202i2i−2i−2i0000000−i2i200i2−i200020-2000000000−2i2i0−i2i200i2−i2002−200−220000
χ3322-2-22-22-2−2i−2i2i2i022-2-20000002002-2-2020-20−2i−2i2i2i00000002−2002−2000-202000000000−2i2i02−2002−200−i2i200−i2i20000
χ3422-2-22-22-2−2i−2i2i2i022-2-20000002002-2-2020-20−2i−2i2i2i0000000−2200−22000-202000000000−2i2i0−2200−2200i2−i200i2−i20000
χ3522-2-22-22-2−2i−2i2i2i022-2-20000002002-2-20-2020−2i−2i2i2i0000000i2−i200−i2i200020-20000000002i−2i0i2−i200−i2i2002−200−220000
χ3622-2-22-22-2−2i−2i2i2i022-2-20000002002-2-20-2020−2i−2i2i2i0000000−i2i200i2−i200020-20000000002i−2i0−i2i200i2−i200−22002−20000
χ372-22-22-2-222i−2i2i−2i02-22-2000000200-22-220-2002i−2i2i−2i0000000002−2002−2-202000000002i−2i000002−2002−200i2−i200i2−i200
χ382-22-22-2-222i−2i2i−2i02-22-2000000200-22-220-2002i−2i2i−2i000000000−2200−22-202000000002i−2i00000−2200−2200−i2i200−i2i200
χ392-22-22-2-222i−2i2i−2i02-22-2000000200-22-2-202002i−2i2i−2i000000000i2−i200−i2i220-200000000−2i2i00000i2−i200−i2i200−22002−200
χ402-22-22-2-222i−2i2i−2i02-22-2000000200-22-2-202002i−2i2i−2i000000000−i2i200i2−i220-200000000−2i2i00000−i2i200i2−i2002−200−2200
χ412-22-22-2-22−2i2i−2i2i02-22-2000000200-22-220-200−2i2i−2i2i0000000002−2002−2-20200000000−2i2i000002−2002−200−i2i200−i2i200
χ422-22-22-2-22−2i2i−2i2i02-22-2000000200-22-220-200−2i2i−2i2i000000000−2200−22-20200000000−2i2i00000−2200−2200i2−i200i2−i200
χ432-22-22-2-22−2i2i−2i2i02-22-2000000200-22-2-20200−2i2i−2i2i000000000i2−i200−i2i220-2000000002i−2i00000i2−i200−i2i2002−200−2200
χ442-22-22-2-22−2i2i−2i2i02-22-2000000200-22-2-20200−2i2i−2i2i000000000−i2i200i2−i220-2000000002i−2i00000−i2i200i2−i200−22002−200
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
χ534444-2-2-2-20000-44444000002-2-4-4-2-2-24-44-400000000002200000000-22-22000000000000000000000000000000
χ544444-2-2-2-20000-44444000002-2-4-4-2-2-2-44-44000000000022000000002-22-2000000000000000000000000000000
χ5544-4-4-22-220000044-4-4000000-200-222040-400000000000022−220022−2200020-2000000000000−2200−22000000000000
χ5644-4-4-22-220000044-4-4000000-200-222040-4000000000000−222200−222200020-20000000000002−2002−2000000000000
χ5744-4-4-22-220000044-4-4000000-200-2220-4040000000000002i2−2i200−2i22i2000-202000000000000−i2i200i2−i2000000000000
χ5844-4-4-22-220000044-4-4000000-200-2220-404000000000000−2i22i2002i2−2i2000-202000000000000i2−i200−i2i2000000000000
χ594-44-4-222-2000004-44-4000000-2002-2240-400000000000000022−220022−2220-2000000000000000−2200−220000000000
χ604-44-4-222-2000004-44-4000000-2002-2240-4000000000000000−222200−222220-20000000000000002−2002−20000000000
χ614-44-4-222-2000004-44-4000000-2002-22-4040000000000000002i2−2i200−2i22i2-202000000000000000−i2i200i2−i20000000000
χ624-44-4-222-2000004-44-4000000-2002-22-404000000000000000−2i22i2002i2−2i2-202000000000000000i2−i200−i2i20000000000
χ634-4-4444-4-44-4-4404-4-44000000400-4-44000004-4-440000000000000000000000000000000000000000000000000
χ644-4-4444-4-44-4-440-111-10−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360-15−511-100000-111-10−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−500000000000005−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ3600000000000000000000000
χ654-4-4444-4-44-4-440-111-10−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360-1−5511-100000-111-10−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−550000000000000−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ3600000000000000000000000
χ664-4-4444-4-44-4-440-111-10ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360-15−511-100000-111-10ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−500000000000005−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ3600000000000000000000000
χ674-4-4444-4-44-4-440-111-10ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360-1−5511-100000-111-10ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−550000000000000−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ3600000000000000000000000
χ684-4-4444-4-4-444-404-4-44000000400-4-4400000-444-40000000000000000000000000000000000000000000000000
χ694-4-4444-4-4-444-40-111-10−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360-15−511-1000001-1-110−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−50000000000000−55ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ3600000000000000000000000
χ704-4-4444-4-4-444-40-111-10−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360-1−5511-1000001-1-110−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−5500000000000005−5ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ3600000000000000000000000
χ714-4-4444-4-4-444-40-111-10ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360-15−511-1000001-1-110ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−50000000000000−55−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ3600000000000000000000000
χ724-4-4444-4-4-444-40-111-10ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360-1−5511-1000001-1-110ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−5500000000000005−5−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ3600000000000000000000000
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−8i0-2-222000000-200-22200000−2i−2i2i2i0000000000000000000000000000000000000000000000000
χ7888-8-88-88-8−8i−8i8i8i0-2-222000000-200-222000002i2i−2i−2i0000000000000000000000000000000000000000000000000
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
χ818-8-88-4-444000008-8-88000000-40044-40000000000000000000000000000000000000000000000000000000000
χ828-8-88-4-44400000-222-20−2ζ4+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
χ838-8-88-4-44400000-222-20−2ζ4−2ζ12+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
χ848-8-88-4-44400000-222-202ζ4−2ζ12+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
χ858-8-88-4-44400000-222-202ζ4+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
χ861616-16-16-88-8800000-4-4440000002002-2-20000000000000000000000000000000000000000000000000000000000
χ8716-1616-16-888-800000-44-44000000200-22-20000000000000000000000000000000000000000000000000000000000

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