Extensions 1→N→G→Q→1 with N=C72 and Q=C4

Direct product G=NxQ with N=C72 and Q=C4
dρLabelID
C4xC72288C4xC72288,46

Semidirect products G=N:Q with N=C72 and Q=C4
extensionφ:Q→Aut NdρLabelID
C72:1C4 = C72:1C4φ: C4/C2C2 ⊆ Aut C72288C72:1C4288,26
C72:2C4 = C8:Dic9φ: C4/C2C2 ⊆ Aut C72288C72:2C4288,25
C72:3C4 = C8xDic9φ: C4/C2C2 ⊆ Aut C72288C72:3C4288,21
C72:4C4 = C72:C4φ: C4/C2C2 ⊆ Aut C72288C72:4C4288,23
C72:5C4 = C9xC2.D8φ: C4/C2C2 ⊆ Aut C72288C72:5C4288,57
C72:6C4 = C9xC4.Q8φ: C4/C2C2 ⊆ Aut C72288C72:6C4288,56
C72:7C4 = C9xC8:C4φ: C4/C2C2 ⊆ Aut C72288C72:7C4288,47

Non-split extensions G=N.Q with N=C72 and Q=C4
extensionφ:Q→Aut NdρLabelID
C72.1C4 = C72.C4φ: C4/C2C2 ⊆ Aut C721442C72.1C4288,20
C72.2C4 = C9:C32φ: C4/C2C2 ⊆ Aut C722882C72.2C4288,1
C72.3C4 = C2xC9:C16φ: C4/C2C2 ⊆ Aut C72288C72.3C4288,18
C72.4C4 = C36.C8φ: C4/C2C2 ⊆ Aut C721442C72.4C4288,19
C72.5C4 = C9xC8.C4φ: C4/C2C2 ⊆ Aut C721442C72.5C4288,58
C72.6C4 = C9xM5(2)φ: C4/C2C2 ⊆ Aut C721442C72.6C4288,60

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