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Extensions 1→N→G→Q→1 with N=C7 and Q=C24.C22

Direct product G=N×Q with N=C7 and Q=C24.C22
dρLabelID
C7×C24.C22224C7xC2^4.C2^2448,796

Semidirect products G=N:Q with N=C7 and Q=C24.C22
extensionφ:Q→Aut NdρLabelID
C7⋊1(C24.C22) = D14⋊C4⋊5C4φ: C24.C22/C2.C42 → C2 ⊆ Aut C7224C7:1(C2^4.C2^2)448,203
C7⋊2(C24.C22) = C2.(C4×D28)φ: C24.C22/C2.C42 → C2 ⊆ Aut C7224C7:2(C2^4.C2^2)448,204
C7⋊3(C24.C22) = (C2×C42)⋊D7φ: C24.C22/C2×C42 → C2 ⊆ Aut C7224C7:3(C2^4.C2^2)448,474
C7⋊4(C24.C22) = C24.3D14φ: C24.C22/C2×C22⋊C4 → C2 ⊆ Aut C7224C7:4(C2^4.C2^2)448,478
C7⋊5(C24.C22) = C24.4D14φ: C24.C22/C2×C22⋊C4 → C2 ⊆ Aut C7224C7:5(C2^4.C2^2)448,479
C7⋊6(C24.C22) = C24.8D14φ: C24.C22/C2×C22⋊C4 → C2 ⊆ Aut C7224C7:6(C2^4.C2^2)448,485
C7⋊7(C24.C22) = D14⋊C4⋊7C4φ: C24.C22/C2×C4⋊C4 → C2 ⊆ Aut C7224C7:7(C2^4.C2^2)448,524


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