Maximal subgroup of a product of groups?

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Let G and H be finite groups. The maximal subgroups of GxH are of the form GxM where M is maximal subgroup of H or NxG where N is a maximal subgroup of G. Is this true?
 

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Is it true in [itex]\mathbb{Z}_2\times \mathbb{Z}_2[/itex]??
 
  • #3
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not true as {(0,0),(1,1)} is a maximal subgroup of Z_2xZ_2 which is not of that form.
Thank you very much.
 

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