53 groups of order 680.
| SmallGroups | group |
|---|---|
| (680, 1) | C17×#168 #10621741 |
| (680, 2) | C5×#3622 #10621742 |
| (680, 3) | #10621743 |
| (680, 4) | C5×C8×C17 #10621744 |
| (680, 5) | C5×#3624 #10621745 |
| (680, 6) | #10621746 |
| (680, 7) | C17×#170 #10621747 |
| (680, 8) | #10621748 |
| (680, 9) | #10621749 |
| (680, 10) | #10621750 |
| (680, 11) | Dic5×D17 #10621751 |
| (680, 12) | D5×Dic17 #10621752 |
| (680, 13) | #10621753 |
| (680, 14) | #10621754 |
| (680, 15) | #10621755 |
| (680, 16) | #10621756 |
| (680, 17) | #10621757 |
| (680, 18) | C5×Dic34 #10621758 |
| (680, 19) | C4×C5×D17 #10621759 |
| (680, 20) | C5×D68 #10621760 |
| (680, 21) | C2×C5×Dic17 #10621761 |
| (680, 22) | C5×C22⋊D17 #10621762 |
| (680, 23) | C17×Dic10 #10621763 |
| (680, 24) | C4×D5×C17 #10621764 |
| (680, 25) | C17×D20 #10621765 |
| (680, 26) | C2×C17×Dic5 #10621766 |
| (680, 27) | C17×C22⋊D5 #10621767 |
| (680, 28) | Dic170 #10621768 |
| (680, 29) | C4×D85 #10621769 |
| (680, 30) | D340 #10621770 |
| (680, 31) | C2×Dic85 #10621771 |
| (680, 32) | C22⋊D85 #10621772 |
| (680, 33) | C2×C4×C5×C17 #10621773 |
| (680, 34) | C5×D4×C17 #10621774 |
| (680, 35) | C5×Q8×C17 #10621775 |
| (680, 36) | C5×#3633 #10621776 |
| (680, 37) | #10621777 |
| (680, 38) | #10621778 |
| (680, 39) | #10621779 |
| (680, 40) | D5⋊#595 #10621780 |
| (680, 41) | AGL(1,𝔽5)×D17 #10621781 |
| (680, 42) | D5×#595 #10621782 |
| (680, 43) | C2×C5×#595 #10621783 |
| (680, 44) | C2×C17×AGL(1,𝔽5) #10621784 |
| (680, 45) | C2×#66775 #10621785 |
| (680, 46) | C2×#66776 #10621786 |
| (680, 47) | C2×#66774 #10621787 |
| (680, 48) | C2×#66772 #10621788 |
| (680, 49) | C2×D5×D17 #10621789 |
| (680, 50) | C22×C5×D17 #10621790 |
| (680, 51) | C22×D5×C17 #10621791 |
| (680, 52) | C22×D85 #10621792 |
| (680, 53) | C23×C5×C17 #10621793 |