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Extensions 1→N→G→Q→1 with N=C7 and Q=C42.78C22

Direct product G=N×Q with N=C7 and Q=C42.78C22
dρLabelID
C7×C42.78C22224C7xC4^2.78C2^2448,896

Semidirect products G=N:Q with N=C7 and Q=C42.78C22
extensionφ:Q→Aut NdρLabelID
C7⋊1(C42.78C22) = C42.264D14φ: C42.78C22/C4×C8 → C2 ⊆ Aut C7224C7:1(C4^2.78C2^2)448,231
C7⋊2(C42.78C22) = (C8×Dic7)⋊C2φ: C42.78C22/D4⋊C4 → C2 ⊆ Aut C7224C7:2(C4^2.78C2^2)448,302
C7⋊3(C42.78C22) = Q8⋊Dic7⋊C2φ: C42.78C22/Q8⋊C4 → C2 ⊆ Aut C7224C7:3(C4^2.78C2^2)448,334
C7⋊4(C42.78C22) = C42.213D14φ: C42.78C22/C4.4D4 → C2 ⊆ Aut C7224C7:4(C4^2.78C2^2)448,590
C7⋊5(C42.78C22) = C42.216D14φ: C42.78C22/C42.C2 → C2 ⊆ Aut C7224C7:5(C4^2.78C2^2)448,602


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