Extensions 1→N→G→Q→1 with N=C112 and Q=C2

Direct product G=NxQ with N=C112 and Q=C2
dρLabelID
C2xC112224C2xC112224,58

Semidirect products G=N:Q with N=C112 and Q=C2
extensionφ:Q→Aut NdρLabelID
C112:1C2 = D112φ: C2/C1C2 ⊆ Aut C1121122+C112:1C2224,5
C112:2C2 = C112:C2φ: C2/C1C2 ⊆ Aut C1121122C112:2C2224,6
C112:3C2 = C7xD16φ: C2/C1C2 ⊆ Aut C1121122C112:3C2224,60
C112:4C2 = D7xC16φ: C2/C1C2 ⊆ Aut C1121122C112:4C2224,3
C112:5C2 = C16:D7φ: C2/C1C2 ⊆ Aut C1121122C112:5C2224,4
C112:6C2 = C7xSD32φ: C2/C1C2 ⊆ Aut C1121122C112:6C2224,61
C112:7C2 = C7xM5(2)φ: C2/C1C2 ⊆ Aut C1121122C112:7C2224,59

Non-split extensions G=N.Q with N=C112 and Q=C2
extensionφ:Q→Aut NdρLabelID
C112.1C2 = Dic56φ: C2/C1C2 ⊆ Aut C1122242-C112.1C2224,7
C112.2C2 = C7xQ32φ: C2/C1C2 ⊆ Aut C1122242C112.2C2224,62
C112.3C2 = C7:C32φ: C2/C1C2 ⊆ Aut C1122242C112.3C2224,1

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