Finite Group Databasebeta

← Group #92049

Character table — Group #92049

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222222222222222444444444444444444444466661010101012121212121212122020202030303030
order122223556661010101010106610101010151530303030303030303030303030302244224410101010202020206612122244
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-1111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1
χ6111-1-1111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-111-11-11
χ7111-1-1111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1-11-11
χ8111-1-1111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1111-11-1
χ911-11-1111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-11111-1-1-1-11-11-11-1-11
χ1011-11-1111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-111111-1-1-1-1-11-11-111-1
χ1111-11-1111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-111111-11-1-111-1
χ1211-11-1111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-11111-11-111-1-11
χ1311-1-11111-1-11-1-1-1-111-11-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1111-1-1111-1-1
χ1411-1-11111-1-11-1-1-1-111-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-111-1-1-1-111-111-1-1-111
χ1511-1-11111-1-11-1-1-1-111-11-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-11-1-11111-1-11-1-11-1-111
χ1611-1-11111-1-11-1-1-1-111-11-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-111-111-1-1
χ17222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ18222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+5200000000
χ19222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ20222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-200001+521−521+521−521+521−521+521−5200000000
χ2122222-122-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-10000
χ2222222-122-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011110000
χ23222-2-22−1+52−1−522221−521−521+521+52−1+52−1−52-2-2−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ24222-2-22−1+52−1−522221−521−521+521+52−1+52−1−52-2-2−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ25222-2-22−1−52−1+522221+521+521−521−52−1−52−1+52-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ26222-2-22−1−52−1+522221+521+521−521−52−1−52−1+52-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ27222-2-2-122-1-1-1-2-2-2-2221122-2-2-1-1-1-1-1-1-1-111111111000022-2-200000000-1-1110000
χ28222-2-2-122-1-1-1-2-2-2-2221122-2-2-1-1-1-1-1-1-1-1111111110000-2-2220000000011-1-10000
χ2922-22-22−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ3022-22-22−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ3122-22-22−1−52−1+52-2-22−1−52−1−52−1+52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ3222-22-22−1−52−1+52-2-22−1−52−1−52−1+52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ3322-22-2-12211-1222222-11-2-2-2-2-1-1-1-11111-1-1-1-1111100002-22-200000000-11-110000
χ3422-22-2-12211-1222222-11-2-2-2-2-1-1-1-11111-1-1-1-111110000-22-22000000001-11-10000
χ3522-2-222−1+52−1−52-2-221−521−521+521+52−1+52−1−52-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-220000−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ3622-2-222−1+52−1−52-2-221−521−521+521+52−1+52−1−52-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-200001−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ3722-2-222−1−52−1+52-2-221+521+521−521−52−1−52−1+52-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-220000−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ3822-2-222−1−52−1+52-2-221+521+521−521−52−1−52−1+52-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-200001+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ3922-2-22-12211-1-2-2-2-2221-1-2-222-1-1-1-111111111-1-1-1-100002-2-2200000000-111-10000
χ4022-2-22-12211-1-2-2-2-2221-1-2-222-1-1-1-111111111-1-1-1-10000-222-2000000001-1-110000
χ4144444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000
χ4244444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000
χ43444-4-4-2−1+5−1−5-2-2-21−51−51+51+5−1+5−1−522−1+5−1−51−51+51−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ44444-4-4-2−1−5−1+5-2-2-21+51+51−51−5−1−5−1+522−1−5−1+51+51−51+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000
χ4544-44-4-2−1+5−1−522-2−1+5−1+5−1−5−1−5−1+5−1−5-221−51+51−51+51−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000
χ4644-44-4-2−1−5−1+522-2−1−5−1−5−1+5−1+5−1−5−1+5-221+51−51+51−51+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000
χ4744-4-44-2−1+5−1−522-21−51−51+51+5−1+5−1−52-21−51+5−1+5−1−51−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000
χ4844-4-44-2−1−5−1+522-21+51+51−51−5−1−5−1+52-21+51−5−1−5−1+51+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000
χ494-400044400-40000-4-400000044-4-4000000000000000000000000000000000000
χ504-40004−1+5−1−500-42ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ141−51+5000000−1+5−1−51−51+500002ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ140000000000000000000000000000
χ514-40004−1+5−1−500-4−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ141−51+5000000−1+5−1−51−51+50000−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ140000000000000000000000000000
χ524-40004−1−5−1+500-4−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ131+51−5000000−1−5−1+51+51−50000−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ130000000000000000000000000000
χ534-40004−1−5−1+500-42ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ131+51−5000000−1−5−1+51+51−500002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ130000000000000000000000000000
χ544-4000-2442i3−2i320000-4-4000000-2-2222i3−2i32i3−2i300000000000000000000000000000000
χ554-4000-244−2i32i320000-4-4000000-2-222−2i32i3−2i32i300000000000000000000000000000000
χ564-4000-2−1+5−1−52i3−2i322ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ141−51+50000001−521+52−1+52−1−52ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14000000000000000000000000
χ574-4000-2−1+5−1−52i3−2i32−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ141−51+50000001−521+52−1+52−1−52ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14000000000000000000000000
χ584-4000-2−1+5−1−5−2i32i322ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ141−51+50000001−521+52−1+52−1−52−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14000000000000000000000000
χ594-4000-2−1+5−1−5−2i32i32−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ141−51+50000001−521+52−1+52−1−52−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14000000000000000000000000
χ604-4000-2−1−5−1+52i3−2i32−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ131+51−50000001+521−52−1−52−1+52−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13000000000000000000000000
χ614-4000-2−1−5−1+52i3−2i322ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ131+51−50000001+521−52−1−52−1+52−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13000000000000000000000000
χ624-4000-2−1−5−1+5−2i32i32−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ131+51−50000001+521−52−1−52−1+52ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13000000000000000000000000
χ634-4000-2−1−5−1+5−2i32i322ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ131+51−50000001+521−52−1−52−1+52ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.