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Extensions 1→N→G→Q→1 with N=C7 and Q=D4⋊3Q8

Direct product G=N×Q with N=C7 and Q=D4⋊3Q8
dρLabelID
C7×D4⋊3Q8224C7xD4:3Q8448,1337

Semidirect products G=N:Q with N=C7 and Q=D4⋊3Q8
extensionφ:Q→Aut NdρLabelID
C7⋊1(D4⋊3Q8) = C14.102+ 1+4φ: D4⋊3Q8/C2×C4⋊C4 → C2 ⊆ Aut C7224C7:1(D4:3Q8)448,964
C7⋊2(D4⋊3Q8) = D4⋊5Dic14φ: D4⋊3Q8/C4×D4 → C2 ⊆ Aut C7224C7:2(D4:3Q8)448,992
C7⋊3(D4⋊3Q8) = D4⋊6Dic14φ: D4⋊3Q8/C4×D4 → C2 ⊆ Aut C7224C7:3(D4:3Q8)448,996
C7⋊4(D4⋊3Q8) = D28⋊10Q8φ: D4⋊3Q8/C4×Q8 → C2 ⊆ Aut C7224C7:4(D4:3Q8)448,1032
C7⋊5(D4⋊3Q8) = C14.1182+ 1+4φ: D4⋊3Q8/C22⋊Q8 → C2 ⊆ Aut C7224C7:5(D4:3Q8)448,1088
C7⋊6(D4⋊3Q8) = C14.522+ 1+4φ: D4⋊3Q8/C22⋊Q8 → C2 ⊆ Aut C7224C7:6(D4:3Q8)448,1089
C7⋊7(D4⋊3Q8) = D28⋊7Q8φ: D4⋊3Q8/C42.C2 → C2 ⊆ Aut C7224C7:7(D4:3Q8)448,1143
C7⋊8(D4⋊3Q8) = D28⋊9Q8φ: D4⋊3Q8/C4⋊Q8 → C2 ⊆ Aut C7224C7:8(D4:3Q8)448,1183


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