Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C4×Q8

Direct product G=N×Q with N=C7 and Q=C2×C4×Q8
dρLabelID
Q8×C2×C28448Q8xC2xC28448,1299

Semidirect products G=N:Q with N=C7 and Q=C2×C4×Q8
extensionφ:Q→Aut NdρLabelID
C71(C2×C4×Q8) = C2×C4×Dic14φ: C2×C4×Q8/C2×C42C2 ⊆ Aut C7448C7:1(C2xC4xQ8)448,920
C72(C2×C4×Q8) = C2×Dic73Q8φ: C2×C4×Q8/C2×C4⋊C4C2 ⊆ Aut C7448C7:2(C2xC4xQ8)448,949
C73(C2×C4×Q8) = C4×Q8×D7φ: C2×C4×Q8/C4×Q8C2 ⊆ Aut C7224C7:3(C2xC4xQ8)448,1024
C74(C2×C4×Q8) = C2×Q8×Dic7φ: C2×C4×Q8/C22×Q8C2 ⊆ Aut C7448C7:4(C2xC4xQ8)448,1264


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