Finite Group DatabasebetaFinite Group Databasebeta119 groups of order 540.
| SmallGroups | group |
|---|---|
| (540, 1) | C5×Dic27 #10587341 |
| (540, 2) | Dic5×C27 #10587342 |
| (540, 3) | Dic135 #10587343 |
| (540, 4) | C4×C5×C27 #10587344 |
| (540, 5) | AGL(1,𝔽5)×C27 #10587345 |
| (540, 6) | C27⋊AGL(1,𝔽5) #10587346 |
| (540, 7) | D5×D27 #10587347 |
| (540, 8) | C5×C22⋊C27 #10587348 |
| (540, 9) | C2×D5×C27 #10587349 |
| (540, 10) | C2×C5×D27 #10587350 |
| (540, 11) | C2×D135 #10587351 |
| (540, 12) | C22×C5×C27 #10587352 |
| (540, 13) | C3×C9×Dic5 #10587353 |
| (540, 14) | Dic5×H(3,𝔽3) #10587354 |
| (540, 15) | Dic5×3−1+2 #10587355 |
| (540, 16) | C3×C5×Dic9 #10587356 |
| (540, 17) | C5×C9×Dic3 #10587357 |
| (540, 18) | C5×(C3⋊Dic3)⋊C3 #10587358 |
| (540, 19) | C5×3−1+2⋊C4 #10587359 |
| (540, 20) | C3×Dic45 #10587360 |
| (540, 21) | C9×Dic15 #10587361 |
| (540, 22) | (C3⋊Dic15)⋊C3 #10587362 |
| (540, 23) | 3−1+2⋊Dic5 #10587363 |
| (540, 24) | C5×C3⋊Dic9 #10587364 |
| (540, 25) | C5×#1084 #10587365 |
| (540, 26) | C3⋊Dic45 #10587366 |
| (540, 27) | #10587367 |
| (540, 28) | C3×C4×C5×C9 #10587368 |
| (540, 29) | C4×C5×H(3,𝔽3) #10587369 |
| (540, 30) | C4×C5×3−1+2 #10587370 |
| (540, 31) | C9×A5 #10587371 |
| (540, 32) | C3×C9×AGL(1,𝔽5) #10587372 |
| (540, 33) | AGL(1,𝔽5)×H(3,𝔽3) #10587373 |
| (540, 34) | AGL(1,𝔽5)×3−1+2 #10587374 |
| (540, 35) | C3×C9⋊AGL(1,𝔽5) #10587375 |
| (540, 36) | C9×ΓL(1,𝔽16) #10587376 |
| (540, 37) | (C3⋊ΓL(1,𝔽16))⋊C3 #10587377 |
| (540, 38) | 3−1+2⋊AGL(1,𝔽5) #10587378 |
| (540, 39) | C3⋊(C9⋊AGL(1,𝔽5)) #10587379 |
| (540, 40) | #10587380 |
| (540, 41) | C5×#1088 #10587381 |
| (540, 42) | #10587382 |
| (540, 43) | #10587383 |
| (540, 44) | C3×D5×D9 #10587384 |
| (540, 45) | D3×C9×D5 #10587385 |
| (540, 46) | D5×(C3⋊D3)⋊C3 #10587386 |
| (540, 47) | D5×AGL(1,ℤ/9) #10587387 |
| (540, 48) | D5×C3⋊D9 #10587388 |
| (540, 49) | D5×#272 #10587389 |
| (540, 50) | C5×D3×D9 #10587390 |
| (540, 51) | C5×((C3⋊D3)⋊C3)⋊C2 #10587391 |
| (540, 52) | D3×D45 #10587392 |
| (540, 53) | D9×D15 #10587393 |
| (540, 54) | ((C3⋊D3)⋊C3)⋊D5 #10587394 |
| (540, 55) | D15⋊D9 #10587395 |
| (540, 56) | #272⋊D5 #10587396 |
| (540, 57) | C5×C9×A4 #10587397 |
| (540, 58) | C5×C9⋊A4 #10587398 |
| (540, 59) | C3×C5×C22⋊C9 #10587399 |
| (540, 60) | C5×#1094 #10587400 |
| (540, 61) | C5×C22⋊H(3,𝔽3) #10587401 |
| (540, 62) | C2×C3×C9×D5 #10587402 |
| (540, 63) | C2×D5×H(3,𝔽3) #10587403 |
| (540, 64) | C2×D5×3−1+2 #10587404 |
| (540, 65) | C2×C3×C5×D9 #10587405 |
| (540, 66) | C2×C5×D3×C9 #10587406 |
| (540, 67) | C2×C5×(C3⋊D3)⋊C3 #10587407 |
| (540, 68) | C2×C5×AGL(1,ℤ/9) #10587408 |
| (540, 69) | C2×C3×D45 #10587409 |
| (540, 70) | C2×C9×D15 #10587410 |
| (540, 71) | C2×C5⋊((C3⋊D3)⋊C3) #10587411 |
| (540, 72) | C2×C5⋊AGL(1,ℤ/9) #10587412 |
| (540, 73) | C2×C5×C3⋊D9 #10587413 |
| (540, 74) | C2×C5×#272 #10587414 |
| (540, 75) | C2×C3⋊D45 #10587415 |
| (540, 76) | C2×C5⋊#272 #10587416 |
| (540, 77) | C22×C3×C5×C9 #10587417 |
| (540, 78) | C22×C5×H(3,𝔽3) #10587418 |
| (540, 79) | C22×C5×3−1+2 #10587419 |
| (540, 80) | C33×Dic5 #10587420 |
| (540, 81) | C32×C5×Dic3 #10587421 |
| (540, 82) | C32×Dic15 #10587422 |
| (540, 83) | C3×C5×C3⋊Dic3 #10587423 |
| (540, 84) | C3×C3⋊Dic15 #10587424 |
| (540, 85) | C5×C3⋊(C3⋊Dic3) #10587425 |
| (540, 86) | C3⋊(C3⋊Dic15) #10587426 |
| (540, 87) | C33×C4×C5 #10587427 |
| (540, 88) | C32×A5 #10587428 |
| (540, 89) | C33×AGL(1,𝔽5) #10587429 |
| (540, 90) | C32×ΓL(1,𝔽16) #10587430 |
| (540, 91) | C3×C3⋊ΓL(1,𝔽16) #10587431 |
| (540, 92) | C3⋊(C3⋊ΓL(1,𝔽16)) #10587432 |
| (540, 93) | C3×C5×#157 #10587433 |
| (540, 94) | C3×#4380 #10587434 |
| (540, 95) | C3×#4379 #10587435 |
| (540, 96) | C5×C3⋊#157 #10587436 |
| (540, 97) | C3⋊#4380 #10587437 |
| (540, 98) | C3⋊#4379 #10587438 |
| (540, 99) | C32×D3×D5 #10587439 |
| (540, 100) | C3×D5×C3⋊D3 #10587440 |