Extensions 1→N→G→Q→1 with N=C112 and Q=C4

Direct product G=NxQ with N=C112 and Q=C4
dρLabelID
C4xC112448C4xC112448,149

Semidirect products G=N:Q with N=C112 and Q=C4
extensionφ:Q→Aut NdρLabelID
C112:1C4 = C16:Dic7φ: C4/C1C4 ⊆ Aut C1121124C112:1C4448,70
C112:2C4 = C112:C4φ: C4/C1C4 ⊆ Aut C1121124C112:2C4448,69
C112:3C4 = C7xC8.Q8φ: C4/C1C4 ⊆ Aut C1121124C112:3C4448,169
C112:4C4 = C7xC16:C4φ: C4/C1C4 ⊆ Aut C1121124C112:4C4448,151
C112:5C4 = C112:5C4φ: C4/C2C2 ⊆ Aut C112448C112:5C4448,61
C112:6C4 = C112:6C4φ: C4/C2C2 ⊆ Aut C112448C112:6C4448,62
C112:7C4 = C7xC16:3C4φ: C4/C2C2 ⊆ Aut C112448C112:7C4448,170
C112:8C4 = C16xDic7φ: C4/C2C2 ⊆ Aut C112448C112:8C4448,57
C112:9C4 = C112:9C4φ: C4/C2C2 ⊆ Aut C112448C112:9C4448,59
C112:10C4 = C7xC16:4C4φ: C4/C2C2 ⊆ Aut C112448C112:10C4448,171
C112:11C4 = C7xC16:5C4φ: C4/C2C2 ⊆ Aut C112448C112:11C4448,150

Non-split extensions G=N.Q with N=C112 and Q=C4
extensionφ:Q→Aut NdρLabelID
C112.1C4 = C112.C4φ: C4/C2C2 ⊆ Aut C1122242C112.1C4448,63
C112.2C4 = C7:C64φ: C4/C2C2 ⊆ Aut C1124482C112.2C4448,1
C112.3C4 = C2xC7:C32φ: C4/C2C2 ⊆ Aut C112448C112.3C4448,55
C112.4C4 = C7:M6(2)φ: C4/C2C2 ⊆ Aut C1122242C112.4C4448,56
C112.5C4 = C7xC8.4Q8φ: C4/C2C2 ⊆ Aut C1122242C112.5C4448,172
C112.6C4 = C7xM6(2)φ: C4/C2C2 ⊆ Aut C1122242C112.6C4448,174

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