# Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C62

Direct product G=N×Q with N=C4 and Q=C2×C62
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C4 and Q=C2×C62
extensionφ:Q→Aut NdρLabelID
C4⋊(C2×C62) = D4×C62φ: C2×C62/C62C2 ⊆ Aut C4144C4:(C2xC6^2)288,1019

Non-split extensions G=N.Q with N=C4 and Q=C2×C62
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C62) = D8×C3×C6φ: C2×C62/C62C2 ⊆ Aut C4144C4.1(C2xC6^2)288,829
C4.2(C2×C62) = SD16×C3×C6φ: C2×C62/C62C2 ⊆ Aut C4144C4.2(C2xC6^2)288,830
C4.3(C2×C62) = Q16×C3×C6φ: C2×C62/C62C2 ⊆ Aut C4288C4.3(C2xC6^2)288,831
C4.4(C2×C62) = C32×C4○D8φ: C2×C62/C62C2 ⊆ Aut C4144C4.4(C2xC6^2)288,832
C4.5(C2×C62) = C32×C8⋊C22φ: C2×C62/C62C2 ⊆ Aut C472C4.5(C2xC6^2)288,833
C4.6(C2×C62) = C32×C8.C22φ: C2×C62/C62C2 ⊆ Aut C4144C4.6(C2xC6^2)288,834
C4.7(C2×C62) = Q8×C62φ: C2×C62/C62C2 ⊆ Aut C4288C4.7(C2xC6^2)288,1020
C4.8(C2×C62) = C4○D4×C3×C6φ: C2×C62/C62C2 ⊆ Aut C4144C4.8(C2xC6^2)288,1021
C4.9(C2×C62) = C32×2+ 1+4φ: C2×C62/C62C2 ⊆ Aut C472C4.9(C2xC6^2)288,1022
C4.10(C2×C62) = C32×2- 1+4φ: C2×C62/C62C2 ⊆ Aut C4144C4.10(C2xC6^2)288,1023
C4.11(C2×C62) = M4(2)×C3×C6central extension (φ=1)144C4.11(C2xC6^2)288,827
C4.12(C2×C62) = C32×C8○D4central extension (φ=1)144C4.12(C2xC6^2)288,828

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