Extensions 1→N→G→Q→1 with N=C110 and Q=C4

Direct product G=NxQ with N=C110 and Q=C4
dρLabelID
C2xC220440C2xC220440,39

Semidirect products G=N:Q with N=C110 and Q=C4
extensionφ:Q→Aut NdρLabelID
C110:1C4 = C2xC11:F5φ: C4/C1C4 ⊆ Aut C1101104C110:1C4440,46
C110:2C4 = F5xC22φ: C4/C1C4 ⊆ Aut C1101104C110:2C4440,45
C110:3C4 = C2xDic55φ: C4/C2C2 ⊆ Aut C110440C110:3C4440,37
C110:4C4 = C10xDic11φ: C4/C2C2 ⊆ Aut C110440C110:4C4440,27
C110:5C4 = Dic5xC22φ: C4/C2C2 ⊆ Aut C110440C110:5C4440,32

Non-split extensions G=N.Q with N=C110 and Q=C4
extensionφ:Q→Aut NdρLabelID
C110.1C4 = C55:C8φ: C4/C1C4 ⊆ Aut C1104404C110.1C4440,16
C110.2C4 = C11xC5:C8φ: C4/C1C4 ⊆ Aut C1104404C110.2C4440,15
C110.3C4 = C55:3C8φ: C4/C2C2 ⊆ Aut C1104402C110.3C4440,5
C110.4C4 = C5xC11:C8φ: C4/C2C2 ⊆ Aut C1104402C110.4C4440,4
C110.5C4 = C11xC5:2C8φ: C4/C2C2 ⊆ Aut C1104402C110.5C4440,3

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