# Extensions 1→N→G→Q→1 with N=C36 and Q=C6

Direct product G=N×Q with N=C36 and Q=C6
dρLabelID
C6×C36216C6xC36216,73

Semidirect products G=N:Q with N=C36 and Q=C6
extensionφ:Q→Aut NdρLabelID
C361C6 = D36⋊C3φ: C6/C1C6 ⊆ Aut C36366+C36:1C6216,54
C362C6 = C4×C9⋊C6φ: C6/C1C6 ⊆ Aut C36366C36:2C6216,53
C363C6 = D4×3- 1+2φ: C6/C1C6 ⊆ Aut C36366C36:3C6216,78
C364C6 = C2×C4×3- 1+2φ: C6/C2C3 ⊆ Aut C3672C36:4C6216,75
C365C6 = C3×D36φ: C6/C3C2 ⊆ Aut C36722C36:5C6216,46
C366C6 = C12×D9φ: C6/C3C2 ⊆ Aut C36722C36:6C6216,45
C367C6 = D4×C3×C9φ: C6/C3C2 ⊆ Aut C36108C36:7C6216,76

Non-split extensions G=N.Q with N=C36 and Q=C6
extensionφ:Q→Aut NdρLabelID
C36.1C6 = C36.C6φ: C6/C1C6 ⊆ Aut C36726-C36.1C6216,52
C36.2C6 = C9⋊C24φ: C6/C1C6 ⊆ Aut C36726C36.2C6216,15
C36.3C6 = Q8×3- 1+2φ: C6/C1C6 ⊆ Aut C36726C36.3C6216,81
C36.4C6 = C8×3- 1+2φ: C6/C2C3 ⊆ Aut C36723C36.4C6216,20
C36.5C6 = C3×Dic18φ: C6/C3C2 ⊆ Aut C36722C36.5C6216,43
C36.6C6 = C3×C9⋊C8φ: C6/C3C2 ⊆ Aut C36722C36.6C6216,12
C36.7C6 = D4×C27φ: C6/C3C2 ⊆ Aut C361082C36.7C6216,10
C36.8C6 = Q8×C27φ: C6/C3C2 ⊆ Aut C362162C36.8C6216,11
C36.9C6 = Q8×C3×C9φ: C6/C3C2 ⊆ Aut C36216C36.9C6216,79

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