Extensions 1→N→G→Q→1 with N=C8 and Q=Dic9

Direct product G=N×Q with N=C8 and Q=Dic9
dρLabelID
C8×Dic9288C8xDic9288,21

Semidirect products G=N:Q with N=C8 and Q=Dic9
extensionφ:Q→Aut NdρLabelID
C81Dic9 = C721C4φ: Dic9/C18C2 ⊆ Aut C8288C8:1Dic9288,26
C82Dic9 = C8⋊Dic9φ: Dic9/C18C2 ⊆ Aut C8288C8:2Dic9288,25
C83Dic9 = C72⋊C4φ: Dic9/C18C2 ⊆ Aut C8288C8:3Dic9288,23

Non-split extensions G=N.Q with N=C8 and Q=Dic9
extensionφ:Q→Aut NdρLabelID
C8.1Dic9 = C72.C4φ: Dic9/C18C2 ⊆ Aut C81442C8.1Dic9288,20
C8.2Dic9 = C36.C8φ: Dic9/C18C2 ⊆ Aut C81442C8.2Dic9288,19
C8.3Dic9 = C9⋊C32central extension (φ=1)2882C8.3Dic9288,1
C8.4Dic9 = C2×C9⋊C16central extension (φ=1)288C8.4Dic9288,18

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