Extensions 1→N→G→Q→1 with N=C44 and Q=C6

Direct product G=N×Q with N=C44 and Q=C6
dρLabelID
C2×C132264C2xC132264,28

Semidirect products G=N:Q with N=C44 and Q=C6
extensionφ:Q→Aut NdρLabelID
C441C6 = C3×D44φ: C6/C3C2 ⊆ Aut C441322C44:1C6264,15
C442C6 = C12×D11φ: C6/C3C2 ⊆ Aut C441322C44:2C6264,14
C443C6 = D4×C33φ: C6/C3C2 ⊆ Aut C441322C44:3C6264,29

Non-split extensions G=N.Q with N=C44 and Q=C6
extensionφ:Q→Aut NdρLabelID
C44.1C6 = C3×Dic22φ: C6/C3C2 ⊆ Aut C442642C44.1C6264,13
C44.2C6 = C3×C11⋊C8φ: C6/C3C2 ⊆ Aut C442642C44.2C6264,2
C44.3C6 = Q8×C33φ: C6/C3C2 ⊆ Aut C442642C44.3C6264,30

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