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Extensions 1→N→G→Q→1 with N=C7⋊D4 and Q=C2×C4

Direct product G=N×Q with N=C7⋊D4 and Q=C2×C4
dρLabelID
C2×C4×C7⋊D4224C2xC4xC7:D4448,1241

Semidirect products G=N:Q with N=C7⋊D4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C7⋊D4⋊1(C2×C4) = C4×D4⋊2D7φ: C2×C4/C4 → C2 ⊆ Out C7⋊D4224C7:D4:1(C2xC4)448,989
C7⋊D4⋊2(C2×C4) = C4×D4×D7φ: C2×C4/C4 → C2 ⊆ Out C7⋊D4112C7:D4:2(C2xC4)448,997
C7⋊D4⋊3(C2×C4) = C42⋊11D14φ: C2×C4/C4 → C2 ⊆ Out C7⋊D4112C7:D4:3(C2xC4)448,998
C7⋊D4⋊4(C2×C4) = C42.108D14φ: C2×C4/C4 → C2 ⊆ Out C7⋊D4224C7:D4:4(C2xC4)448,999
C7⋊D4⋊5(C2×C4) = C2×Dic7⋊4D4φ: C2×C4/C22 → C2 ⊆ Out C7⋊D4224C7:D4:5(C2xC4)448,938
C7⋊D4⋊6(C2×C4) = C42.188D14φ: C2×C4/C22 → C2 ⊆ Out C7⋊D4224C7:D4:6(C2xC4)448,975
C7⋊D4⋊7(C2×C4) = C42.91D14φ: C2×C4/C22 → C2 ⊆ Out C7⋊D4224C7:D4:7(C2xC4)448,976
C7⋊D4⋊8(C2×C4) = C4×C4○D28φ: trivial image224C7:D4:8(C2xC4)448,927
C7⋊D4⋊9(C2×C4) = C24.24D14φ: trivial image112C7:D4:9(C2xC4)448,939
C7⋊D4⋊10(C2×C4) = C14.82+ 1+4φ: trivial image224C7:D4:10(C2xC4)448,957

Non-split extensions G=N.Q with N=C7⋊D4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C7⋊D4.1(C2×C4) = D7×C8○D4φ: C2×C4/C4 → C2 ⊆ Out C7⋊D41124C7:D4.1(C2xC4)448,1202
C7⋊D4.2(C2×C4) = C56.49C23φ: C2×C4/C4 → C2 ⊆ Out C7⋊D41124C7:D4.2(C2xC4)448,1203
C7⋊D4.3(C2×C4) = C2×D28.C4φ: C2×C4/C22 → C2 ⊆ Out C7⋊D4224C7:D4.3(C2xC4)448,1197
C7⋊D4.4(C2×C4) = C28.70C24φ: C2×C4/C22 → C2 ⊆ Out C7⋊D41124C7:D4.4(C2xC4)448,1198
C7⋊D4.5(C2×C4) = C2×D28.2C4φ: trivial image224C7:D4.5(C2xC4)448,1191

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