Finite Group Databasebeta

← Group #14285332

Character table — Group #14285332

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222444444444444488888888888888888888881010101010101010101020202020202020242440404040404040404040404048484848120120120120120120
order122236662445661010101212121210101520202020303030303030306060606060606060444444121212124121212121212248888242424242424242410102020248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iiiii−i−i−i−i1111-1-1ii−i−i
χ61111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−i−i−iiiii1111-1-1−i−iii
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-111−i−iii
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-111ii−i−i
χ911111111-11-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11-1-11111111-111-1-1-1-11-11-11-111-1-111-1-111-1-11-11-11-1
χ1011111111-11-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11-1-11111111-111-1-1-1-11-1-11-11-1-111-1-11111-1-11-1-11-11
χ1111111111-11-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11-1-11111111-111-1-1-1-1-111-11-111-1-111-1-1-1-111-11-11-11
χ1211111111-11-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11-1-11111111-111-1-1-1-1-11-11-11-1-111-1-111-1-111-111-11-1
χ1311111111-11-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1i−i−iiii−i−i−i−iii11-1-1-11i−i−ii
χ1411111111-11-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1−iii−i−i−iiiii−i−i11-1-1-11−iii−i
χ1511111111-11-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-11i−i−iiii−i−i−i−iii-1-1111-1−iii−i
χ1611111111-11-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-11−iii−i−i−iiiii−i−i-1-1111-1i−i−ii
χ17222222222-2-2222222-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-222222-2-2000000000000000000000000
χ18222222222-2-2222222-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-2-22222-22222-2-2-2-2-222000000000000000000000000
χ1922222222-2-222-2-2222-2-222-2-22-2-22222-2-2-2-22-2-2-2-22222222-2-22-2-2-2-2-222-2-222000000000000000000000000
χ2022222222-2-222-2-2222-2-222-2-22-2-22222-2-2-2-22-2-2-2-22222-2-2-222-222222-2-222-2-2000000000000000000000000
χ212222-1-1-1-12222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-1002222-1-1-1-1-1-1-1-10000000000
χ222222-1-1-1-12222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-100-2-2-2-2111111110000000000
χ232222-1-1-1-12222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2111111002i2i−2i−2i−i−i−i−iiiii0000000000
χ242222-1-1-1-12222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-211111100−2i−2i2i2iiiii−i−i−i−i0000000000
χ252222-1-1-1-12-2-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-1111111112-2-2-2-2211112-1-1-1-1110000003−33−33−33−30000000000
χ262222-1-1-1-12-2-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-1111111112-2-2-2-2211112-1-1-1-111000000−33−33−33−330000000000
χ272222-1-1-1-12-2-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-111111111-22222-2-1-1-1-1-21111-1-1000000−i3i3−i3i3i3−i3i3−i30000000000
χ282222-1-1-1-12-2-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-111111111-22222-2-1-1-1-1-21111-1-1000000i3−i3i3−i3−i3i3−i3i30000000000
χ292222-1-1-1-1-22-2211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-111112-2-2222-1-1-1-1-2-1-11111002-22-2-1-111-1-1110000000000
χ302222-1-1-1-1-22-2211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-111112-2-2222-1-1-1-1-2-1-1111100-22-2211-1-111-1-10000000000
χ312222-1-1-1-1-22-2211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-11111-222-2-2-21111211-1-1-1-1002i−2i−2i2i−i−iiiii−i−i0000000000
χ322222-1-1-1-1-22-2211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-11111-222-2-2-21111211-1-1-1-100−2i2i2i−2iii−i−i−i−iii0000000000
χ332222-1-1-1-1-2-2221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-1222-2-221111-2-1-111-1-10000003−3−333−3−330000000000
χ342222-1-1-1-1-2-2221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-1222-2-221111-2-1-111-1-1000000−333−3−333−30000000000
χ352222-1-1-1-1-2-2221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2-222-2-1-1-1-1211-1-111000000−i3i3i3−i3i3−i3−i3i30000000000
χ362222-1-1-1-1-2-2221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2-222-2-1-1-1-1211-1-111000000i3−i3−i3i3−i3i3i3−i30000000000
χ3744444444444-144-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000044000000000000-1-1-1-1000000
χ3844444444444-144-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-4-40000000000001111000000
χ39444444444-4-4-144-1-1-1-4-4-4-4-1-1-11111-1-1-1-1-1-1-1111111110000000000000000000000000000000−55−55000000
χ40444444444-4-4-144-1-1-1-4-4-4-4-1-1-11111-1-1-1-1-1-1-11111111100000000000000000000000000000005−55−5000000
χ4144444444-44-4-1-4-4-1-1-144-4-411-1-1-111-1-11111-1-1-1-1-11111000000000000000004-4000000000000-1-111000000
χ4244444444-44-4-1-4-4-1-1-144-4-411-1-1-111-1-11111-1-1-1-1-1111100000000000000000-4400000000000011-1-1000000
χ4344444444-4-44-1-4-4-1-1-1-4-44411-111-1-1-1-11111-11111-1-1-1-10000000000000000000000000000000−555−5000000
χ4444444444-4-44-1-4-4-1-1-1-4-44411-111-1-1-1-11111-11111-1-1-1-100000000000000000000000000000005−5−55000000
χ4544-4-444-4-4000400-44-400000040000-4-4000040000000004i−4i0000000000004i−4i000000000000000000000000
χ4644-4-444-4-4000400-44-400000040000-4-400004000000000−4i4i000000000000−4i4i000000000000000000000000
χ4744-4-4-2-2220004−2i32i3-44-4000000-2000022−2i3−2i32i32i3-20000000004i−4i0002323−23−2300000−2i2i000000000000000000000000
χ4844-4-4-2-2220004−2i32i3-44-4000000-2000022−2i3−2i32i32i3-2000000000−4i4i000−23−232323000002i−2i000000000000000000000000
χ4944-4-4-2-22200042i3−2i3-44-4000000-20000222i32i3−2i3−2i3-20000000004i−4i000−23−23232300000−2i2i000000000000000000000000
χ5044-4-4-2-22200042i3−2i3-44-4000000-20000222i32i3−2i3−2i3-2000000000−4i4i0002323−23−23000002i−2i000000000000000000000000
χ514-44-44-44-40004004-4-4000000400004-40000-40000000040000-4000004-40000000000000000000000000000
χ524-44-44-44-40004004-4-4000000400004-40000-400000000-40000400000-440000000000000000000000000000
χ534-44-4-22-220004004-4-423−230000-20000-22000022323−23−23000040000-423−2323−230-220000000000000000000000000000
χ544-44-4-22-220004004-4-423−230000-20000-22000022323−23−230000-400004−2323−232302-20000000000000000000000000000
χ554-44-4-22-220004004-4-4−23230000-20000-2200002−23−232323000040000-4−2323−23230-220000000000000000000000000000
χ564-44-4-22-220004004-4-4−23230000-20000-2200002−23−2323230000-40000423−2323−2302-20000000000000000000000000000
χ574-4-444-4-44000400-4-4400000040000-440000-4000000000004-404-4-440000000000000000000000000000000
χ584-4-444-4-44000400-4-4400000040000-440000-400000000000-440-444-40000000000000000000000000000000
χ594-4-44-222-2000400-4-440023−2300-200002-20000200002323−23−230004-40-222-200023−2300000000000000000000000000
χ604-4-44-222-2000400-4-440023−2300-200002-20000200002323−23−23000-4402-2-22000−232300000000000000000000000000
χ614-4-44-222-2000400-4-4400−232300-200002-2000020000−23−2323230004-40-222-2000−232300000000000000000000000000
χ624-4-44-222-2000400-4-4400−232300-200002-2000020000−23−232323000-4402-2-2200023−2300000000000000000000000000
χ638888-4-4-4-4888-2-4-4-2-2-2-4-4-4-4-2-21-2-2-2-211111111111111100000000000000000000000000000000000000000
χ648888-4-4-4-48-8-8-2-4-4-2-2-24444-2-2122221111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ658888-4-4-4-4-88-8-244-2-2-2-4-444221-2-22211-1-1-1-111111-1-1-1-100000000000000000000000000000000000000000
χ668888-4-4-4-4-8-88-244-2-2-244-4-422122-2-211-1-1-1-11-1-1-1-1111100000000000000000000000000000000000000000
χ6788-8-888-8-8000-2002-22000000-2−252500220000-2−2525−2525000000000000000000000000000000000000000000000
χ6888-8-888-8-8000-2002-22000000-225−2500220000-225−2525−25000000000000000000000000000000000000000000000
χ6988-8-8-4-444000-2−4i34i32-220000001−252500-1-1i3i3−i3−i315−55−5−i15i15−i15i1500000000000000000000000000000000000000000
χ7088-8-8-4-444000-2−4i34i32-22000000125−2500-1-1i3i3−i3−i31−55−55i15−i15i15−i1500000000000000000000000000000000000000000
χ7188-8-8-4-444000-24i3−4i32-220000001−252500-1-1−i3−i3i3i315−55−5i15−i15i15−i1500000000000000000000000000000000000000000
χ7288-8-8-4-444000-24i3−4i32-22000000125−2500-1-1−i3−i3i3i31−55−55−i15i15−i15i1500000000000000000000000000000000000000000
χ738-88-88-88-8000-200-222000000-200−2i52i5-22000020000−2i52i52i5−2i500000000000000000000000000000000000000000
χ748-88-88-88-8000-200-222000000-2002i5−2i5-220000200002i5−2i5−2i52i500000000000000000000000000000000000000000
χ758-88-8-44-44000-200-22243−430000100−2i52i51-1−i15i15−i15i15-1−3−333i5−i5−i5i500000000000000000000000000000000000000000
χ768-88-8-44-44000-200-22243−4300001002i5−2i51-1i15−i15i15−i15-1−3−333−i5i5i5−i500000000000000000000000000000000000000000
χ778-88-8-44-44000-200-222−43430000100−2i52i51-1i15−i15i15−i15-133−3−3i5−i5−i5i500000000000000000000000000000000000000000
χ788-88-8-44-44000-200-222−434300001002i5−2i51-1−i15i15−i15i15-133−3−3−i5i5i5−i500000000000000000000000000000000000000000
χ798-8-888-8-88000-20022-20000−2525-200002-2−252525−2520000000000000000000000000000000000000000000000000
χ808-8-888-8-88000-20022-2000025−25-200002-225−25−252520000000000000000000000000000000000000000000000000
χ818-8-88-444-4000-20022-20043−43−252510000-115−5−55-1−151515−15−3−33300000000000000000000000000000000000000000
χ828-8-88-444-4000-20022-20043−4325−2510000-11−555−5-115−15−1515−3−33300000000000000000000000000000000000000000
χ838-8-88-444-4000-20022-200−4343−252510000-115−5−55-115−15−151533−3−300000000000000000000000000000000000000000
χ848-8-88-444-4000-20022-200−434325−2510000-11−555−5-1−151515−1533−3−300000000000000000000000000000000000000000

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