Finite Group Databasebeta

← Group #14297120

Character table — Group #14297120

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222444444444444444555588888888888888888888101010101010101012121212202020202020202424242424242424404040404040404040404040606060606060606060606060
order12222234466645661010101010101012121212444415202020203030303030303060606060606060602244121212122222266661212101010101010101088882424242424242424444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ6111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ7111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111iiii−i−i−i−i
χ91111-1-1111111-11-1-111-1-1-1-1111-1-11111111-1-111-1-1-1-111111-1-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1111111-11-1-111-1-1-1-1111-1-11111111-1-111-1-1-1-111111-1-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-111
χ111111-1-1111111-11-1-111-1-1-1-1111-1-11111111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-111-1-111
χ121111-1-1111111-11-1-111-1-1-1-1111-1-11111111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1111111-11-1-111-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111ii−i−i−i−iii
χ141111-1-1111111-11-1-111-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−i−iiiii−i−i
χ151111-1-1111111-11-1-111-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1−i−iiiii−i−i
χ161111-1-1111111-11-1-111-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ172222222-2-2222-22222222222-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222220000-2-2-2-2-22200000000000000000000000000000000
χ182222222-2-2222-22222222222-2-2-2-2-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2000022222-2-200000000000000000000000000000000
χ19222222-122-1-1-122-1-12222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ20222222-122-1-1-122-1-12222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ21222222-122-1-1-122-1-12222222-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2111111000000002i2i−2i−2i−i−i−i−iiiii000000000000
χ22222222-122-1-1-122-1-12222222-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-211111100000000−2i−2i2i2iiiii−i−i−i−i000000000000
χ23222222-1-2-2-1-1-1-22-1-1222222211112222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-10000-21111-1-1000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ24222222-1-2-2-1-1-1-22-1-1222222211112222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-10000-21111-1-1000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ25222222-1-2-2-1-1-1-22-1-122222221111-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2111100002-1-1-1-1110000000000003−33−3−33−33000000000000
χ26222222-1-2-2-1-1-1-22-1-122222221111-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2111100002-1-1-1-111000000000000−33−333−33−3000000000000
χ272222-2-22-2-222222-2-222-2-2-2-22-2-22222222-2-22222-2-2-2-22-2-2-2-22222-2-2-2-2222200002-2-222-2-200000000000000000000000000000000
χ282222-2-22-2-222222-2-222-2-2-2-22-2-222-2-2-2-22-2-22222-2-2-2-22-2-2-2-222222222-2-2-2-20000-222-2-22200000000000000000000000000000000
χ292222-2-2-122-1-1-1-221122-2-2-2-22-1-1112222-122-2-2-1-11111-1-1-1-1-1111122-2-2-1-1-1-10000-2-1-11111000000002-22-2-1-111-1-111000000000000
χ302222-2-2-122-1-1-1-221122-2-2-2-22-1-1112222-122-2-2-1-11111-1-1-1-1-1111122-2-2-1-1-1-10000-2-1-1111100000000-22-2211-1-111-1-1000000000000
χ312222-2-2-122-1-1-1-221122-2-2-2-22-1-111-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-22211110000211-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i000000000000
χ322222-2-2-122-1-1-1-221122-2-2-2-22-1-111-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-22211110000211-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii000000000000
χ332222-2-2-1-2-2-1-1-1221122-2-2-2-2211-1-12222-1-2-222-1-11111-11111-1-1-1-1-2-2-2-2-1-1-1-10000211-1-111000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ342222-2-2-1-2-2-1-1-1221122-2-2-2-2211-1-12222-1-2-222-1-11111-11111-1-1-1-1-2-2-2-2-1-1-1-10000211-1-111000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ352222-2-2-1-2-2-1-1-1221122-2-2-2-2211-1-1-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1222211110000-2-1-111-1-10000000000003−3−33−333−3000000000000
χ362222-2-2-1-2-2-1-1-1221122-2-2-2-2211-1-1-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1222211110000-2-1-111-1-1000000000000−333−33−3−33000000000000
χ3722-2-22-22002-2-2022-22-222-2-2-200002i2i−2i−2i200002-222-2-2-200000000002i−2i2i2i−2i−2i0000000002i−2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i
χ3822-2-22-22002-2-2022-22-222-2-2-200002i2i−2i−2i200002-222-2-2-200000000002i−2i2i2i−2i−2i0000000002i−2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i
χ3922-2-22-22002-2-2022-22-222-2-2-20000−2i−2i2i2i200002-222-2-2-20000000000−2i2i−2i−2i2i2i000000000−2i2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i
χ4022-2-22-22002-2-2022-22-222-2-2-20000−2i−2i2i2i200002-222-2-2-20000000000−2i2i−2i−2i2i2i000000000−2i2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i
χ4122-2-2-222002-2-202-222-2-2-222-200002i2i−2i−2i200002-2-2-222-20000000000−2i2i2i2i−2i−2i000000000−2i2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i
χ4222-2-2-222002-2-202-222-2-2-222-200002i2i−2i−2i200002-2-2-222-20000000000−2i2i2i2i−2i−2i000000000−2i2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i
χ4322-2-2-222002-2-202-222-2-2-222-20000−2i−2i2i2i200002-2-2-222-200000000002i−2i−2i−2i2i2i0000000002i−2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i
χ4422-2-2-222002-2-202-222-2-2-222-20000−2i−2i2i2i200002-2-2-222-200000000002i−2i−2i−2i2i2i0000000002i−2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i
χ452-2-220022-2-2-220200-2-2000022-2002-22-222-200-2-20000222-2-200002-2002-22-2002-202-20000000022-2-2000000000000002-200000000
χ462-2-220022-2-2-220200-2-2000022-2002-22-222-200-2-20000222-2-200002-2002-22-200-2202-200000000-2-22200000000000000-2200000000
χ472-2-220022-2-2-220200-2-2000022-200-22-2222-200-2-20000222-2-20000-2200-22-22002-20-220000000022-2-200000000000000-2200000000
χ482-2-220022-2-2-220200-2-2000022-200-22-2222-200-2-20000222-2-20000-2200-22-2200-220-2200000000-2-222000000000000002-200000000
χ492-2-22002-22-2-220200-2-200002-22002-22-22-2200-2-200002-2-2220000-22002-22-22-2000-22000022-2-200000000000000002-20000000000
χ502-2-22002-22-2-220200-2-200002-22002-22-22-2200-2-200002-2-2220000-22002-22-2-22000-220000-2-2220000000000000000-220000000000
χ512-2-22002-22-2-220200-2-200002-2200-22-222-2200-2-200002-2-22200002-200-22-222-20002-2000022-2-20000000000000000-220000000000
χ522-2-22002-22-2-220200-2-200002-2200-22-222-2200-2-200002-2-22200002-200-22-22-220002-20000-2-22200000000000000002-20000000000
χ534444444444444-144-1-1-1-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000044440000000-1-1-1-1-1-1-1-1000000000000000000000000
χ544444444444444-144-1-1-1-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-4-4-4000000011111111000000000000000000000000
χ554444444-4-4444-4-144-1-1-1-1-1-1-1-4-4-4-40000-11111-1-1-1-1-1-1-1111111110000000000000000000−55−55−55−55000000000000000000000000
χ564444444-4-4444-4-144-1-1-1-1-1-1-1-4-4-4-40000-11111-1-1-1-1-1-1-11111111100000000000000000005−55−55−55−5000000000000000000000000
χ574444-4-4444444-4-1-4-4-1-11111-144-4-40000-1-1-111-1-11111-1-1-1-1-111110000000044-4-40000000-1-1-1-11111000000000000000000000000
χ584444-4-4444444-4-1-4-4-1-11111-144-4-40000-1-1-111-1-11111-1-1-1-1-1111100000000-4-44400000001111-1-1-1-1000000000000000000000000
χ594444-4-44-4-44444-1-4-4-1-11111-1-4-4440000-111-1-1-1-11111-11111-1-1-1-10000000000000000000−55−555−55−5000000000000000000000000
χ604444-4-44-4-44444-1-4-4-1-11111-1-4-4440000-111-1-1-1-11111-11111-1-1-1-100000000000000000005−55−5−55−55000000000000000000000000
χ6144-4-44-4-200-22204-224-444-4-4-400004i4i−4i−4i-20000-22-2-222200000000004i−4i−2i−2i2i2i000000000−2i2i00000000000000000000000000000000
χ6244-4-44-4-200-22204-224-444-4-4-40000−4i−4i4i4i-20000-22-2-22220000000000−4i4i2i2i−2i−2i0000000002i−2i00000000000000000000000000000000
χ6344-4-4-44-200-222042-24-4-4-444-400004i4i−4i−4i-20000-2222-2-220000000000−4i4i−2i−2i2i2i0000000002i−2i00000000000000000000000000000000
χ6444-4-4-44-200-222042-24-4-4-444-40000−4i−4i4i4i-20000-2222-2-2200000000004i−4i2i2i−2i−2i000000000−2i2i00000000000000000000000000000000
χ654-44-400400-44-40400-440000-400004i−4i−4i4i40000-440000-40000000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ664-44-400400-44-40400-440000-40000−4i4i4i−4i40000-440000-4000000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ674-44-400-2002-220400-440000-40023−234i−4i−4i4i-200002-20000200002323−23−230000−2i2i2i−2i0000000−2i32i30000000000000000000000000000000000
χ684-44-400-2002-220400-440000-40023−23−4i4i4i−4i-200002-20000200002323−23−2300002i−2i−2i2i00000002i3−2i30000000000000000000000000000000000
χ694-44-400-2002-220400-440000-400−23234i−4i−4i4i-200002-2000020000−23−2323230000−2i2i2i−2i00000002i3−2i30000000000000000000000000000000000
χ704-44-400-2002-220400-440000-400−2323−4i4i4i−4i-200002-2000020000−23−23232300002i−2i−2i2i0000000−2i32i30000000000000000000000000000000000
χ714-4-440044-4-4-440-10011−55−55-14-4000000-1-11−5511−55−55-1-1-111−55−5500000000004-40000000−555−5-1-111000000000000000000000000
χ724-4-440044-4-4-440-10011−55−55-14-4000000-1-11−5511−55−55-1-1-111−55−550000000000-4400000005−5−5511-1-1000000000000000000000000
χ734-4-440044-4-4-440-100115−55−5-14-4000000-1-115−5115−55−5-1-1-1115−55−500000000004-400000005−5−55-1-111000000000000000000000000
χ744-4-440044-4-4-440-100115−55−5-14-4000000-1-115−5115−55−5-1-1-1115−55−50000000000-440000000−555−511-1-1000000000000000000000000
χ754-4-44004-44-4-440-10011−55−55-1-44000000-11-15−511−55−55-111-1-15−55−5000000004-4000000000-1-111−555−5000000000000000000000000
χ764-4-44004-44-4-440-10011−55−55-1-44000000-11-15−511−55−55-111-1-15−55−500000000-4400000000011-1-15−5−55000000000000000000000000
χ774-4-44004-44-4-440-100115−55−5-1-44000000-11-1−55115−55−5-111-1-1−55−55000000004-4000000000-1-1115−5−55000000000000000000000000
χ784-4-44004-44-4-440-100115−55−5-1-44000000-11-1−55115−55−5-111-1-1−55−5500000000-4400000000011-1-1−555−5000000000000000000000000
χ794-4-4400-24-422-20400-4-400004-22004-44-4-24-400220000-2-2-22200004-400-22-2200000-22000000000000000000000000000000000000
χ804-4-4400-24-422-20400-4-400004-2200-44-44-24-400220000-2-2-2220000-44002-22-2000002-2000000000000000000000000000000000000
χ814-4-4400-2-4422-20400-4-4000042-2004-44-4-2-4400220000-222-2-20000-4400-22-22000002-2000000000000000000000000000000000000
χ824-4-4400-2-4422-20400-4-4000042-200-44-44-2-4400220000-222-2-200004-4002-22-200000-22000000000000000000000000000000000000
χ83888888-488-4-4-48-2-4-4-2-2-2-2-2-2-2-4-4-4-400001-2-2-2-2111111111111111000000000000000000000000000000000000000000000000000
χ84888888-4-8-8-4-4-4-8-2-4-4-2-2-2-2-2-2-244440000122221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000
χ858888-8-8-488-4-4-4-8-244-2-22222-2-4-44400001-2-22211-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000000000000
χ868888-8-8-4-8-8-4-4-48-244-2-22222-244-4-40000122-2-211-1-1-1-11-1-1-1-11111000000000000000000000000000000000000000000000000000
χ8788-8-88-88008-8-80-28-8-22-2-222200000000-20000-22-2-222200000000000000000000000000000000000000000000000000000000000
χ8888-8-88-8-400-4440-2-44-22-2-222200000000100001-111-1-1-1−1515−1515−151515−15000000000000000000000000000000000000000000000000000
χ8988-8-88-8-400-4440-2-44-22-2-222200000000100001-111-1-1-115−1515−1515−15−1515000000000000000000000000000000000000000000000000000
χ9088-8-8-888008-8-80-2-88-2222-2-2200000000-20000-2222-2-2200000000000000000000000000000000000000000000000000000000000
χ9188-8-8-88-400-4440-24-4-2222-2-2200000000100001-1-1-111-1−1515−151515−15−1515000000000000000000000000000000000000000000000000000
χ9288-8-8-88-400-4440-24-4-2222-2-2200000000100001-1-1-111-115−1515−15−151515−15000000000000000000000000000000000000000000000000000
χ938-88-800800-88-80-2002-2−252525−25200000000-200002-2−252525−25200000000000000000000000000000000000000000000000000000000000
χ948-88-800800-88-80-2002-225−25−2525200000000-200002-225−25−2525200000000000000000000000000000000000000000000000000000000000
χ958-88-800-4004-440-2002-2−252525−2520043−43000010000-115−5−55-1−151515−15−3−333000000000000000000000000000000000000000000000000000
χ968-88-800-4004-440-2002-2−252525−25200−4343000010000-115−5−55-115−15−151533−3−3000000000000000000000000000000000000000000000000000
χ978-88-800-4004-440-2002-225−25−252520043−43000010000-11−555−5-115−15−1515−3−333000000000000000000000000000000000000000000000000000
χ988-88-800-4004-440-2002-225−25−2525200−4343000010000-11−555−5-1−151515−1533−3−3000000000000000000000000000000000000000000000000000
χ998-8-8800-48-844-40-20022−2525−2525-2-440000001-22−2525-1-15−55−5111-1-15−55−5000000000000000000000000000000000000000000000000000
χ1008-8-8800-48-844-40-2002225−2525−25-2-440000001-2225−25-1-1−55−55111-1-1−55−55000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-8844-40-20022−2525−2525-24-400000012-225−25-1-15−55−51-1-111−55−55000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-8844-40-2002225−2525−25-24-400000012-2−2525-1-1−55−551-1-1115−55−5000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).