Finite Group DatabasebetaFinite Group Databasebeta54 non-abelian indecomposable groups of order 504.
Groups that are neither abelian nor a non-trivial direct product.
| SmallGroups | group |
|---|---|
| (504, 1) | (C7⋊C8)⋊C9 #92575 |
| (504, 5) | C7⋊(C9⋊C8) #92579 |
| (504, 7) | Dic14⋊C9 #92581 |
| (504, 9) | C4⋊(D7⋊C9) #92583 |
| (504, 11) | (C22⋊D7)⋊C9 #92585 |
| (504, 12) | #92586 |
| (504, 14) | D63⋊C4 #92588 |
| (504, 15) | #92589 |
| (504, 17) | #92591 |
| (504, 18) | #92592 |
| (504, 23) | C7⋊(Q8⋊C9) #92597 |
| (504, 34) | Dic126 #92608 |
| (504, 36) | D252 #92610 |
| (504, 38) | #92612 |
| (504, 44) | C3⋊(ΓL(1,𝔽8)⋊C8) #92618 |
| (504, 50) | C3⋊(C3⋊(C7⋊C8)) #92624 |
| (504, 52) | AGL(1,𝔽8)⋊C9 #92626 |
| (504, 55) | C7⋊((C22⋊C9)⋊C2) #92629 |
| (504, 58) | D7⋊(C22⋊C9) #92632 |
| (504, 69) | (C3⋊AGL(1,𝔽7))⋊C4 #92643 |
| (504, 70) | #4245⋊C3 #92644 |
| (504, 71) | #4246⋊C3 #92645 |
| (504, 72) | #4247⋊C3 #92646 |
| (504, 73) | #4248⋊C3 #92647 |
| (504, 85) | Dic42⋊C3 #92659 |
| (504, 87) | C4⋊(C3⋊AGL(1,𝔽7)) #92661 |
| (504, 89) | #4268⋊C3 #92663 |
| (504, 91) | C7⋊#622 #92665 |
| (504, 101) | #92675 |
| (504, 102) | #92676 |
| (504, 103) | #92677 |
| (504, 104) | #92678 |
| (504, 105) | #92679 |
| (504, 113) | #92687 |
| (504, 114) | #92688 |
| (504, 115) | #92689 |
| (504, 116) | #92690 |
| (504, 117) | #92691 |
| (504, 118) | D21⋊Dic3 #92692 |
| (504, 119) | #92693 |
| (504, 120) | #92694 |
| (504, 121) | #92695 |
| (504, 122) | #92696 |
| (504, 148) | #92722 |
| (504, 150) | C4⋊(C3⋊D21) #92724 |
| (504, 152) | #92726 |
| (504, 156) | SL(2,𝔽8) #92730 |
| (504, 160) | A4⋊AGL(1,𝔽7) #92734 |
| (504, 165) | C7⋊AGL(1,𝔽9) #92739 |
| (504, 168) | D32⋊D7 #92742 |
| (504, 169) | #157⋊D7 #92743 |
| (504, 171) | C7⋊PSU(3,𝔽2) #92745 |
| (504, 177) | C3⋊(C7⋊S4) #92751 |
| (504, 186) | C3⋊(D7⋊A4) #92760 |