Extensions 1→N→G→Q→1 with N=C10 and Q=C2xC18

Direct product G=NxQ with N=C10 and Q=C2xC18
dρLabelID
C22xC90360C2^2xC90360,50

Semidirect products G=N:Q with N=C10 and Q=C2xC18
extensionφ:Q→Aut NdρLabelID
C10:(C2xC18) = D5xC2xC18φ: C2xC18/C18C2 ⊆ Aut C10180C10:(C2xC18)360,47

Non-split extensions G=N.Q with N=C10 and Q=C2xC18
extensionφ:Q→Aut NdρLabelID
C10.1(C2xC18) = C9xDic10φ: C2xC18/C18C2 ⊆ Aut C103602C10.1(C2xC18)360,15
C10.2(C2xC18) = D5xC36φ: C2xC18/C18C2 ⊆ Aut C101802C10.2(C2xC18)360,16
C10.3(C2xC18) = C9xD20φ: C2xC18/C18C2 ⊆ Aut C101802C10.3(C2xC18)360,17
C10.4(C2xC18) = C18xDic5φ: C2xC18/C18C2 ⊆ Aut C10360C10.4(C2xC18)360,18
C10.5(C2xC18) = C9xC5:D4φ: C2xC18/C18C2 ⊆ Aut C101802C10.5(C2xC18)360,19
C10.6(C2xC18) = D4xC45central extension (φ=1)1802C10.6(C2xC18)360,31
C10.7(C2xC18) = Q8xC45central extension (φ=1)3602C10.7(C2xC18)360,32

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