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Extensions 1→N→G→Q→1 with N=C7 and Q=C22.31C24

Direct product G=N×Q with N=C7 and Q=C22.31C24
dρLabelID
C7×C22.31C24224C7xC2^2.31C2^4448,1320

Semidirect products G=N:Q with N=C7 and Q=C22.31C24
extensionφ:Q→Aut NdρLabelID
C7⋊1(C22.31C24) = C14.2+ (1+4)φ: C22.31C24/C2×C4⋊C4 → C2 ⊆ Aut C7224C7:1(C2^2.31C2^4)448,963
C7⋊2(C22.31C24) = C14.322+ (1+4)φ: C22.31C24/C4⋊D4 → C2 ⊆ Aut C7224C7:2(C2^2.31C2^4)448,1050
C7⋊3(C22.31C24) = C14.722- (1+4)φ: C22.31C24/C4⋊D4 → C2 ⊆ Aut C7224C7:3(C2^2.31C2^4)448,1061
C7⋊4(C22.31C24) = C14.172- (1+4)φ: C22.31C24/C22⋊Q8 → C2 ⊆ Aut C7224C7:4(C2^2.31C2^4)448,1082
C7⋊5(C22.31C24) = C14.1082- (1+4)φ: C22.31C24/C2×C4○D4 → C2 ⊆ Aut C7224C7:5(C2^2.31C2^4)448,1286


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