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Please enter a number between 2 and 239 [inclusive].
The isomorphism classes of your number will then be listed.
(You can also simply hit "Find Groups" to have a number chosen at random.)
128 = 2
7
Thus there are fifteen nonisomorphic abelian groups of order 128,
(1) Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
2
(2) Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
4
(3) Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
4
⊕ Z
4
(4) Z
2
⊕ Z
4
⊕ Z
4
⊕ Z
4
(5) Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
8
(6) Z
2
⊕ Z
2
⊕ Z
4
⊕ Z
8
(7) Z
4
⊕ Z
4
⊕ Z
8
(8) Z
2
⊕ Z
8
⊕ Z
8
(9) Z
2
⊕ Z
2
⊕ Z
2
⊕ Z
16
(10) Z
2
⊕ Z
4
⊕ Z
16
(11) Z
8
⊕ Z
16
(12) Z
2
⊕ Z
2
⊕ Z
32
(13) Z
4
⊕ Z
32
(14) Z
2
⊕ Z
64
(15) Z
128
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