# Extensions 1→N→G→Q→1 with N=C62 and Q=A4

Direct product G=N×Q with N=C62 and Q=A4
dρLabelID
A4×C62108A4xC6^2432,770

Semidirect products G=N:Q with N=C62 and Q=A4
extensionφ:Q→Aut NdρLabelID
C621A4 = C22×C32⋊A4φ: A4/C22C3 ⊆ Aut C6236C6^2:1A4432,550
C622A4 = C62⋊A4φ: A4/C22C3 ⊆ Aut C6236C6^2:2A4432,555
C623A4 = C32×C22⋊A4φ: A4/C22C3 ⊆ Aut C62108C6^2:3A4432,771

Non-split extensions G=N.Q with N=C62 and Q=A4
extensionφ:Q→Aut NdρLabelID
C62.1A4 = C3×C42⋊C9φ: A4/C22C3 ⊆ Aut C62108C6^2.1A4432,101
C62.2A4 = C122.C3φ: A4/C22C3 ⊆ Aut C62363C6^2.2A4432,102
C62.3A4 = C42⋊He3φ: A4/C22C3 ⊆ Aut C62363C6^2.3A4432,103
C62.4A4 = C2×Q8⋊3- 1+2φ: A4/C22C3 ⊆ Aut C62144C6^2.4A4432,335
C62.5A4 = C2×Q8⋊He3φ: A4/C22C3 ⊆ Aut C62144C6^2.5A4432,336
C62.6A4 = C32×C42⋊C3φ: A4/C22C3 ⊆ Aut C62108C6^2.6A4432,463
C62.7A4 = C22×C32.A4φ: A4/C22C3 ⊆ Aut C6236C6^2.7A4432,549
C62.8A4 = C3×C24⋊C9φ: A4/C22C3 ⊆ Aut C62108C6^2.8A4432,553
C62.9A4 = C62.A4φ: A4/C22C3 ⊆ Aut C6236C6^2.9A4432,554
C62.10A4 = C6×Q8⋊C9central extension (φ=1)432C6^2.10A4432,334
C62.11A4 = C2×C6×C3.A4central extension (φ=1)108C6^2.11A4432,548
C62.12A4 = C3×C6×SL2(𝔽3)central extension (φ=1)144C6^2.12A4432,698

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