Extensions 1→N→G→Q→1 with N=C4 and Q=C4×3- 1+2

Direct product G=N×Q with N=C4 and Q=C4×3- 1+2
dρLabelID
C42×3- 1+2144C4^2xES-(3,1)432,202

Semidirect products G=N:Q with N=C4 and Q=C4×3- 1+2
extensionφ:Q→Aut NdρLabelID
C4⋊(C4×3- 1+2) = C4⋊C4×3- 1+2φ: C4×3- 1+2/C2×3- 1+2C2 ⊆ Aut C4144C4:(C4xES-(3,1))432,208

Non-split extensions G=N.Q with N=C4 and Q=C4×3- 1+2
extensionφ:Q→Aut NdρLabelID
C4.(C4×3- 1+2) = M4(2)×3- 1+2φ: C4×3- 1+2/C2×3- 1+2C2 ⊆ Aut C4726C4.(C4xES-(3,1))432,214
C4.2(C4×3- 1+2) = C16×3- 1+2central extension (φ=1)1443C4.2(C4xES-(3,1))432,36
C4.3(C4×3- 1+2) = C2×C8×3- 1+2central extension (φ=1)144C4.3(C4xES-(3,1))432,211

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