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Extensions 1→N→G→Q→1 with N=C22 and Q=C7xC4:C4

Direct product G=NxQ with N=C22 and Q=C7xC4:C4
dρLabelID
C4:C4xC2xC14448C4:C4xC2xC14448,1296

Semidirect products G=N:Q with N=C22 and Q=C7xC4:C4
extensionφ:Q→Aut NdρLabelID
C22:1(C7xC4:C4) = C7xC23.7Q8φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22224C2^2:1(C7xC4:C4)448,788
C22:2(C7xC4:C4) = C7xC23.8Q8φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22224C2^2:2(C7xC4:C4)448,793

Non-split extensions G=N.Q with N=C22 and Q=C7xC4:C4
extensionφ:Q→Aut NdρLabelID
C22.1(C7xC4:C4) = C7xC4.9C42φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C221124C2^2.1(C7xC4:C4)448,141
C22.2(C7xC4:C4) = C7xC4.10C42φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C221124C2^2.2(C7xC4:C4)448,142
C22.3(C7xC4:C4) = C7xC42:6C4φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22112C2^2.3(C7xC4:C4)448,143
C22.4(C7xC4:C4) = C7xC23.9D4φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22112C2^2.4(C7xC4:C4)448,146
C22.5(C7xC4:C4) = C7xC22.C42φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.5(C7xC4:C4)448,147
C22.6(C7xC4:C4) = C7xM4(2):4C4φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C221124C2^2.6(C7xC4:C4)448,148
C22.7(C7xC4:C4) = C7xC4:M4(2)φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.7(C7xC4:C4)448,831
C22.8(C7xC4:C4) = C7xC42.6C22φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.8(C7xC4:C4)448,832
C22.9(C7xC4:C4) = C7xC23.25D4φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.9(C7xC4:C4)448,835
C22.10(C7xC4:C4) = C7xM4(2):C4φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.10(C7xC4:C4)448,836
C22.11(C7xC4:C4) = C14xC8.C4φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C22224C2^2.11(C7xC4:C4)448,837
C22.12(C7xC4:C4) = C7xM4(2).C4φ: C7xC4:C4/C2xC28 → C2 ⊆ Aut C221124C2^2.12(C7xC4:C4)448,838
C22.13(C7xC4:C4) = C7xC8:2C8central extension (φ=1)448C2^2.13(C7xC4:C4)448,138
C22.14(C7xC4:C4) = C7xC8:1C8central extension (φ=1)448C2^2.14(C7xC4:C4)448,139
C22.15(C7xC4:C4) = C7xC22.7C42central extension (φ=1)448C2^2.15(C7xC4:C4)448,140
C22.16(C7xC4:C4) = C7xC22.4Q16central extension (φ=1)448C2^2.16(C7xC4:C4)448,144
C22.17(C7xC4:C4) = C7xC4.C42central extension (φ=1)224C2^2.17(C7xC4:C4)448,145
C22.18(C7xC4:C4) = C14xC2.C42central extension (φ=1)448C2^2.18(C7xC4:C4)448,783
C22.19(C7xC4:C4) = C14xC4:C8central extension (φ=1)448C2^2.19(C7xC4:C4)448,830
C22.20(C7xC4:C4) = C14xC4.Q8central extension (φ=1)448C2^2.20(C7xC4:C4)448,833
C22.21(C7xC4:C4) = C14xC2.D8central extension (φ=1)448C2^2.21(C7xC4:C4)448,834

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