Extensions 1→N→G→Q→1 with N=C2xC90 and Q=C2

Direct product G=NxQ with N=C2xC90 and Q=C2
dρLabelID
C22xC90360C2^2xC90360,50

Semidirect products G=N:Q with N=C2xC90 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC90):1C2 = D4xC45φ: C2/C1C2 ⊆ Aut C2xC901802(C2xC90):1C2360,31
(C2xC90):2C2 = C45:7D4φ: C2/C1C2 ⊆ Aut C2xC901802(C2xC90):2C2360,29
(C2xC90):3C2 = C22xD45φ: C2/C1C2 ⊆ Aut C2xC90180(C2xC90):3C2360,49
(C2xC90):4C2 = C5xC9:D4φ: C2/C1C2 ⊆ Aut C2xC901802(C2xC90):4C2360,24
(C2xC90):5C2 = D9xC2xC10φ: C2/C1C2 ⊆ Aut C2xC90180(C2xC90):5C2360,48
(C2xC90):6C2 = C9xC5:D4φ: C2/C1C2 ⊆ Aut C2xC901802(C2xC90):6C2360,19
(C2xC90):7C2 = D5xC2xC18φ: C2/C1C2 ⊆ Aut C2xC90180(C2xC90):7C2360,47

Non-split extensions G=N.Q with N=C2xC90 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC90).1C2 = C2xDic45φ: C2/C1C2 ⊆ Aut C2xC90360(C2xC90).1C2360,28
(C2xC90).2C2 = C10xDic9φ: C2/C1C2 ⊆ Aut C2xC90360(C2xC90).2C2360,23
(C2xC90).3C2 = C18xDic5φ: C2/C1C2 ⊆ Aut C2xC90360(C2xC90).3C2360,18

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