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Extensions 1→N→G→Q→1 with N=D14 and Q=C4⋊C4

Direct product G=N×Q with N=D14 and Q=C4⋊C4
dρLabelID
C2×D7×C4⋊C4224C2xD7xC4:C4448,954

Semidirect products G=N:Q with N=D14 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
D14⋊1(C4⋊C4) = D14⋊(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14:1(C4:C4)448,201
D14⋊2(C4⋊C4) = D14⋊C4⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14:2(C4:C4)448,202
D14⋊3(C4⋊C4) = C4⋊(D14⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14:3(C4:C4)448,521
D14⋊4(C4⋊C4) = D14⋊C4⋊6C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14:4(C4:C4)448,523

Non-split extensions G=N.Q with N=D14 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
D14.1(C4⋊C4) = C28⋊M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14.1(C4:C4)448,371
D14.2(C4⋊C4) = C42.30D14φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14.2(C4:C4)448,373
D14.3(C4⋊C4) = (C8×D7)⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14.3(C4:C4)448,394
D14.4(C4⋊C4) = C8⋊(C4×D7)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14.4(C4:C4)448,395
D14.5(C4⋊C4) = C8.27(C4×D7)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14.5(C4:C4)448,414
D14.6(C4⋊C4) = C56⋊(C2×C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D14224D14.6(C4:C4)448,415
D14.7(C4⋊C4) = M4(2).25D14φ: C4⋊C4/C2×C4 → C2 ⊆ Out D141124D14.7(C4:C4)448,427
D14.8(C4⋊C4) = D7×C2.C42φ: trivial image224D14.8(C4:C4)448,197
D14.9(C4⋊C4) = D7×C4⋊C8φ: trivial image224D14.9(C4:C4)448,366
D14.10(C4⋊C4) = D7×C4.Q8φ: trivial image224D14.10(C4:C4)448,393
D14.11(C4⋊C4) = D7×C2.D8φ: trivial image224D14.11(C4:C4)448,413
D14.12(C4⋊C4) = D7×C8.C4φ: trivial image1124D14.12(C4:C4)448,426

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