Finite Group Databasebeta

← Group #14285012

Character table — Group #14285012

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222244444668888888810101010121616161616161616162020202020202020242424242430303030404040404040404040404048486060606080120120120
order12223666451010102241215202030303044444122020606060606060888812121212410102020444448824242424242424242020888812488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ311111111111111111111111-1-1-1-11111111111ii−i−i-1-1-1-111111-1-1-1-1-1i−iiiii−i−i−i−i11ii−i−i-1-1i−i
χ411111111111111111111111-1-1-1-11111111111−i−iii-1-1-1-111111-1-1-1-1-1−ii−i−i−i−iiiii11−i−iii-1-1−ii
χ5111111111111111-1111111111111-1-1-111-1-1-1-111111111-111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111-1111111111111-1-1-111-1-1-1-1-1-1-1-11111-111111111-111-1-111-1-111-1-1-1-1-1-1-1-111
χ7111111111111111-11111111-1-1-1-11-1-1-111-1-1-1-1ii−i−i-1-1-1-1-11111-1-1-1-11−iiii−i−i−i−iii-1-1ii−i−i11−ii
χ8111111111111111-11111111-1-1-1-11-1-1-111-1-1-1-1−i−iii-1-1-1-1-11111-1-1-1-11i−i−i−iiiii−i−i-1-1−i−iii11i−i
χ91111111111111-1-1111111111111-111111111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1-1-1
χ101111111111111-1-1111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111-111
χ111111111111111-1-111111111-1-1-1-1-1111111111ii−i−i-1-1-1-1-1-1-1-1-11111-1i−iiiii−i−i−i−i-1-1−i−iii-11−ii
χ121111111111111-1-111111111-1-1-1-1-1111111111−i−iii-1-1-1-1-1-1-1-1-11111-1−ii−i−i−i−iiiii-1-1ii−i−i-11i−i
χ131111111111111-1-1-111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1111
χ141111111111111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-111111111-11-1-1
χ151111111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i-1-1-1-11-1-1-1-111111−iiii−i−i−i−iii11−i−iii1-1i−i
χ161111111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1−i−iii-1-1-1-11-1-1-1-111111i−i−i−iiiii−i−i11ii−i−i1-1−ii
χ1722222222-22222220-22-2-22222-22-2-2000-2-2000000002-22-2022-2-222-2-2000000000000000000000
χ1822222222-22222220-22-2-2222-22-22-2000-2-200000000-22-22022-2-2-2-222000000000000000000000
χ1922222222-22222-2-20-22-2-22222-22-22000-2-2000000002-22-20-2-222-2-222000000000000000000000
χ2022222222-22222-2-20-22-2-2222-22-222000-2-200000000-22-220-2-22222-2-2000000000000000000000
χ212222-1-1-1-122222002-1-122-1-1-122220-122-1-1-1-1-1-12222-1-1-1-1000000000222-1-1-1-1-1-1-1-1000000-1000
χ222222-1-1-1-122222002-1-122-1-1-122220-122-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000002-2-211111111000000-1000
χ232222-1-1-1-122222002-1-122-1-1-1-2-2-2-20-122-1-1-1-1-1-12i2i−2i−2i1111000000000-22i−2i−i−i−i−iiiii0000001000
χ242222-1-1-1-122222002-1-122-1-1-1-2-2-2-20-122-1-1-1-1-1-1−2i−2i2i2i1111000000000-2−2i2iiiii−i−i−i−i0000001000
χ252222-1-1-1-12222200-2-1-122-1-1-1222201-2-2-1-111112222-1-1-1-1000000000-2-2-2-1-111-1-1110000001000
χ262222-1-1-1-12222200-2-1-122-1-1-1222201-2-2-1-11111-2-2-2-2-1-1-1-1000000000-22211-1-111-1-10000001000
χ272222-1-1-1-12222200-2-1-122-1-1-1-2-2-2-201-2-2-1-111112i2i−2i−2i11110000000002−2i2i−i−iiiii−i−i000000-1000
χ282222-1-1-1-12222200-2-1-122-1-1-1-2-2-2-201-2-2-1-11111−2i−2i2i2i111100000000022i−2iii−i−i−i−iii000000-1000
χ2922-2-22-22-2022-2-22-2002002-2-220-2000000000002−22−220-2002-2002-2000002−2002−200002−22−20000
χ3022-2-22-22-2022-2-22-2002002-2-220-200000000000−22−2220-2002-2002-200000−2200−220000−22−220000
χ3122-2-22-22-2022-2-22-2002002-2-2-20200000000000−i2i2i2−i2-202002-200-2200000−i2i200i2−i20000−i2i2i2−i20000
χ3222-2-22-22-2022-2-22-2002002-2-2-20200000000000i2−i2−i2i2-202002-200-2200000i2−i200−i2i20000i2−i2−i2i20000
χ3322-2-22-22-2022-2-2-22002002-2-220-2000000000002−22−220-200-2200-22000002−2002−20000−22−220000
χ3422-2-22-22-2022-2-2-22002002-2-220-200000000000−22−2220-200-2200-2200000−2200−2200002−22−20000
χ3522-2-22-22-2022-2-2-22002002-2-2-20200000000000−i2i2i2−i2-20200-22002-200000−i2i200i2−i20000i2−i2−i2i20000
χ3622-2-22-22-2022-2-2-22002002-2-2-20200000000000i2−i2−i2i2-20200-22002-200000i2−i200−i2i20000−i2i2i2−i20000
χ37444444444-1-1-1-14444-1-1-1-1-1-1000044-1-1-1-1-1-1-1-1000000004-1-1-1-1000000000000000-1-100000000
χ38444444444-1-1-1-144-44-1-1-1-1-1-100004-411-1-1111100000000-4-1-1-1-10000000000000001100000000
χ39444444444-1-1-1-1-4-444-1-1-1-1-1-10000-44-1-1-1-1-1-1-1-100000000-411110000000000000001100000000
χ40444444444-1-1-1-1-4-4-44-1-1-1-1-1-10000-4-411-1-111110000000041111000000000000000-1-100000000
χ4144444444-4-1-1-1-1440-4-111-1-1-10000-40−5511−5−555000000000-1-111000000000000000−5500000000
χ4244444444-4-1-1-1-1440-4-111-1-1-10000-405−51155−5−5000000000-1-1110000000000000005−500000000
χ4344444444-4-1-1-1-1-4-40-4-111-1-1-1000040−5511−5−55500000000011-1-10000000000000005−500000000
χ4444444444-4-1-1-1-1-4-40-4-111-1-1-10000405−51155−5−500000000011-1-1000000000000000−5500000000
χ454444-2-2-2-2-444440002-2-4-4-2-2-24-44-400002200000000-22-22000000000000000000000000000000
χ464444-2-2-2-2-444440002-2-4-4-2-2-2-44-44000022000000002-22-2000000000000000000000000000000
χ4744-4-4-22-22044-4-40000-200-22240-40000000000022−2222−22-2020000000000000−2200−22000000000000
χ4844-4-4-22-22044-4-40000-200-22240-400000000000−2222−2222-20200000000000002−2002−2000000000000
χ4944-4-4-22-22044-4-40000-200-222-40400000000000−2i22i22i2−2i220-20000000000000i2−i200−i2i2000000000000
χ5044-4-4-22-22044-4-40000-200-222-404000000000002i2−2i2−2i22i220-20000000000000−i2i200i2−i2000000000000
χ514-44-44-4-4404-44-40000400-4-44040-400000000000000040-4000000000000000000000000000000
χ524-44-44-4-4404-44-40000400-4-440-404000000000000000-404000000000000000000000000000000
χ534-44-4-222-204-44-40000-20022-2040-4000000000000000-202000000000000006−6006−60000000000
χ544-44-4-222-204-44-40000-20022-2040-4000000000000000-20200000000000000−6600−660000000000
χ554-44-4-222-204-44-40000-20022-20-40400000000000000020-200000000000000−i6i600i6−i60000000000
χ564-44-4-222-204-44-40000-20022-20-40400000000000000020-200000000000000i6−i600−i6i60000000000
χ574-4-4444-4-404-4-440000400-44-4000000000000000000000000000004i−4i000000000000000000000
χ584-4-4444-4-404-4-440000400-44-400000000000000000000000000000−4i4i000000000000000000000
χ598888-4-4-4-48-2-2-2-2008-41-2-211100000-4-2-211111100000000000000000000000000000000000000
χ608888-4-4-4-48-2-2-2-200-8-41-2-21110000042211-1-1-1-100000000000000000000000000000000000000
χ618888-4-4-4-4-8-2-2-2-20004122111000000−2525-1-155−5−500000000000000000000000000000000000000
χ628888-4-4-4-4-8-2-2-2-2000412211100000025−25-1-1−5−55500000000000000000000000000000000000000
χ6388-8-88-88-80-2-2228-800-200-22200000000000000000000000-22000000000000000000000000000
χ6488-8-88-88-80-2-222-8800-200-222000000000000000000000002-2000000000000000000000000000
χ658-88-88-8-880-22-220000-20022-20000000000000000000000000−2i52i50000000000000000000000000
χ668-88-88-8-880-22-220000-20022-200000000000000000000000002i5−2i50000000000000000000000000
χ678-8-8888-8-80-222-20000-2−25252-2200000000−2525000000000000000000000000000000000000000000
χ688-8-8888-8-80-222-20000-225−252-220000000025−25000000000000000000000000000000000000000000
χ698-8-88-4-44408-8-880000-4004-440000000000000000000000000000000000000000000000000000
χ708-8-88-4-4440-222-200001−2525-11-1000000005−5ζ14+ζ22+ζ38+ζ46−ζ62−ζ86−ζ94−ζ118−ζ14−ζ22−ζ38−ζ46+ζ62+ζ86+ζ94+ζ118−ζ14+ζ22+ζ38−ζ46−ζ62+ζ86+ζ94−ζ118ζ14−ζ22−ζ38+ζ46+ζ62−ζ86−ζ94+ζ11800000000000000000000000000000000000000
χ718-8-88-4-4440-222-200001−2525-11-1000000005−5−ζ14−ζ22−ζ38−ζ46+ζ62+ζ86+ζ94+ζ118ζ14+ζ22+ζ38+ζ46−ζ62−ζ86−ζ94−ζ118ζ14−ζ22−ζ38+ζ46+ζ62−ζ86−ζ94+ζ118−ζ14+ζ22+ζ38−ζ46−ζ62+ζ86+ζ94−ζ11800000000000000000000000000000000000000
χ728-8-88-4-4440-222-20000125−25-11-100000000−55−ζ14+ζ22+ζ38−ζ46−ζ62+ζ86+ζ94−ζ118ζ14−ζ22−ζ38+ζ46+ζ62−ζ86−ζ94+ζ118−ζ14−ζ22−ζ38−ζ46+ζ62+ζ86+ζ94+ζ118ζ14+ζ22+ζ38+ζ46−ζ62−ζ86−ζ94−ζ11800000000000000000000000000000000000000
χ738-8-88-4-4440-222-20000125−25-11-100000000−55ζ14−ζ22−ζ38+ζ46+ζ62−ζ86−ζ94+ζ118−ζ14+ζ22+ζ38−ζ46−ζ62+ζ86+ζ94−ζ118ζ14+ζ22+ζ38+ζ46−ζ62−ζ86−ζ94−ζ118−ζ14−ζ22−ζ38−ζ46+ζ62+ζ86+ζ94+ζ11800000000000000000000000000000000000000
χ741616-16-16-88-880-4-44400002002-2-20000000000000000000000000000000000000000000000000000
χ7516-1616-16-888-80-44-440000200-2-220000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.