Extensions 1→N→G→Q→1 with N=C22 and Q=C22×3- 1+2

Direct product G=N×Q with N=C22 and Q=C22×3- 1+2
dρLabelID
C24×3- 1+2144C2^4xES-(3,1)432,564

Semidirect products G=N:Q with N=C22 and Q=C22×3- 1+2
extensionφ:Q→Aut NdρLabelID
C221(C22×3- 1+2) = C22×C9⋊A4φ: C22×3- 1+2/C2×C18C3 ⊆ Aut C22108C2^2:1(C2^2xES-(3,1))432,547
C222(C22×3- 1+2) = C22×C32.A4φ: C22×3- 1+2/C62C3 ⊆ Aut C2236C2^2:2(C2^2xES-(3,1))432,549
C223(C22×3- 1+2) = C2×D4×3- 1+2φ: C22×3- 1+2/C2×3- 1+2C2 ⊆ Aut C2272C2^2:3(C2^2xES-(3,1))432,405

Non-split extensions G=N.Q with N=C22 and Q=C22×3- 1+2
extensionφ:Q→Aut NdρLabelID
C22.(C22×3- 1+2) = C4○D4×3- 1+2φ: C22×3- 1+2/C2×3- 1+2C2 ⊆ Aut C22726C2^2.(C2^2xES-(3,1))432,411
C22.2(C22×3- 1+2) = C42×3- 1+2central extension (φ=1)144C2^2.2(C2^2xES-(3,1))432,202
C22.3(C22×3- 1+2) = C22⋊C4×3- 1+2central extension (φ=1)72C2^2.3(C2^2xES-(3,1))432,205
C22.4(C22×3- 1+2) = C4⋊C4×3- 1+2central extension (φ=1)144C2^2.4(C2^2xES-(3,1))432,208
C22.5(C22×3- 1+2) = C22×C4×3- 1+2central extension (φ=1)144C2^2.5(C2^2xES-(3,1))432,402
C22.6(C22×3- 1+2) = C2×Q8×3- 1+2central extension (φ=1)144C2^2.6(C2^2xES-(3,1))432,408

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