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Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C36

Direct product G=N×Q with N=C6 and Q=C2×C36
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C6 and Q=C2×C36
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C36) = S3×C2×C36φ: C2×C36/C36 → C2 ⊆ Aut C6144C6:1(C2xC36)432,345
C6⋊2(C2×C36) = Dic3×C2×C18φ: C2×C36/C2×C18 → C2 ⊆ Aut C6144C6:2(C2xC36)432,373

Non-split extensions G=N.Q with N=C6 and Q=C2×C36
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C36) = S3×C72φ: C2×C36/C36 → C2 ⊆ Aut C61442C6.1(C2xC36)432,109
C6.2(C2×C36) = C9×C8⋊S3φ: C2×C36/C36 → C2 ⊆ Aut C61442C6.2(C2xC36)432,110
C6.3(C2×C36) = C9×Dic3⋊C4φ: C2×C36/C36 → C2 ⊆ Aut C6144C6.3(C2xC36)432,132
C6.4(C2×C36) = C9×D6⋊C4φ: C2×C36/C36 → C2 ⊆ Aut C6144C6.4(C2xC36)432,135
C6.5(C2×C36) = C18×C3⋊C8φ: C2×C36/C2×C18 → C2 ⊆ Aut C6144C6.5(C2xC36)432,126
C6.6(C2×C36) = C9×C4.Dic3φ: C2×C36/C2×C18 → C2 ⊆ Aut C6722C6.6(C2xC36)432,127
C6.7(C2×C36) = Dic3×C36φ: C2×C36/C2×C18 → C2 ⊆ Aut C6144C6.7(C2xC36)432,131
C6.8(C2×C36) = C9×C4⋊Dic3φ: C2×C36/C2×C18 → C2 ⊆ Aut C6144C6.8(C2xC36)432,133
C6.9(C2×C36) = C9×C6.D4φ: C2×C36/C2×C18 → C2 ⊆ Aut C672C6.9(C2xC36)432,165
C6.10(C2×C36) = C22⋊C4×C27central extension (φ=1)216C6.10(C2xC36)432,21
C6.11(C2×C36) = C4⋊C4×C27central extension (φ=1)432C6.11(C2xC36)432,22
C6.12(C2×C36) = M4(2)×C27central extension (φ=1)2162C6.12(C2xC36)432,24
C6.13(C2×C36) = C22⋊C4×C3×C9central extension (φ=1)216C6.13(C2xC36)432,203
C6.14(C2×C36) = C4⋊C4×C3×C9central extension (φ=1)432C6.14(C2xC36)432,206
C6.15(C2×C36) = M4(2)×C3×C9central extension (φ=1)216C6.15(C2xC36)432,212

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