Let G be the subgroup of GL3(Z2) defined by the set 100 a 10 b C 1 that a, b, c Z₂. Show that G is isomorphic to a known group of order 8. such

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100
Let G be the subgroup of GL3(Z2) defined by the set
a 1 0
such
1
that a, b, c e Z2. Show that G is isomorphic to a known group of order 8.
Transcribed Image Text:100 Let G be the subgroup of GL3(Z2) defined by the set a 1 0 such 1 that a, b, c e Z2. Show that G is isomorphic to a known group of order 8.
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