Extensions 1→N→G→Q→1 with N=C2xC22 and Q=Q8

Direct product G=NxQ with N=C2xC22 and Q=Q8
dρLabelID
Q8xC2xC22352Q8xC2xC22352,190

Semidirect products G=N:Q with N=C2xC22 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2xC22):Q8 = C22:Dic22φ: Q8/C2C22 ⊆ Aut C2xC22176(C2xC22):Q8352,73
(C2xC22):2Q8 = C11xC22:Q8φ: Q8/C4C2 ⊆ Aut C2xC22176(C2xC22):2Q8352,157
(C2xC22):3Q8 = C44.48D4φ: Q8/C4C2 ⊆ Aut C2xC22176(C2xC22):3Q8352,119
(C2xC22):4Q8 = C22xDic22φ: Q8/C4C2 ⊆ Aut C2xC22352(C2xC22):4Q8352,173

Non-split extensions G=N.Q with N=C2xC22 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2xC22).Q8 = C44.53D4φ: Q8/C2C22 ⊆ Aut C2xC221764(C2xC22).Q8352,28
(C2xC22).2Q8 = C11xC8.C4φ: Q8/C4C2 ⊆ Aut C2xC221762(C2xC22).2Q8352,57
(C2xC22).3Q8 = C88.C4φ: Q8/C4C2 ⊆ Aut C2xC221762(C2xC22).3Q8352,25
(C2xC22).4Q8 = C22.C42φ: Q8/C4C2 ⊆ Aut C2xC22352(C2xC22).4Q8352,37
(C2xC22).5Q8 = C2xDic11:C4φ: Q8/C4C2 ⊆ Aut C2xC22352(C2xC22).5Q8352,118
(C2xC22).6Q8 = C2xC44:C4φ: Q8/C4C2 ⊆ Aut C2xC22352(C2xC22).6Q8352,120
(C2xC22).7Q8 = C11xC2.C42central extension (φ=1)352(C2xC22).7Q8352,44
(C2xC22).8Q8 = C4:C4xC22central extension (φ=1)352(C2xC22).8Q8352,151

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