# Extensions 1→N→G→Q→1 with N=C8×D7 and Q=C4

Direct product G=N×Q with N=C8×D7 and Q=C4
dρLabelID
D7×C4×C8224D7xC4xC8448,218

Semidirect products G=N:Q with N=C8×D7 and Q=C4
extensionφ:Q→Out NdρLabelID
(C8×D7)⋊1C4 = D7×C2.D8φ: C4/C2C2 ⊆ Out C8×D7224(C8xD7):1C4448,413
(C8×D7)⋊2C4 = C8.27(C4×D7)φ: C4/C2C2 ⊆ Out C8×D7224(C8xD7):2C4448,414
(C8×D7)⋊3C4 = D7×C4.Q8φ: C4/C2C2 ⊆ Out C8×D7224(C8xD7):3C4448,393
(C8×D7)⋊4C4 = (C8×D7)⋊C4φ: C4/C2C2 ⊆ Out C8×D7224(C8xD7):4C4448,394
(C8×D7)⋊5C4 = D14.C42φ: C4/C2C2 ⊆ Out C8×D7224(C8xD7):5C4448,223
(C8×D7)⋊6C4 = D7×C8⋊C4φ: C4/C2C2 ⊆ Out C8×D7224(C8xD7):6C4448,238
(C8×D7)⋊7C4 = D14.4C42φ: C4/C2C2 ⊆ Out C8×D7224(C8xD7):7C4448,242

Non-split extensions G=N.Q with N=C8×D7 and Q=C4
extensionφ:Q→Out NdρLabelID
(C8×D7).1C4 = D7×C8.C4φ: C4/C2C2 ⊆ Out C8×D71124(C8xD7).1C4448,426
(C8×D7).2C4 = C32⋊D7φ: C4/C2C2 ⊆ Out C8×D72242(C8xD7).2C4448,4
(C8×D7).3C4 = C2×C16⋊D7φ: C4/C2C2 ⊆ Out C8×D7224(C8xD7).3C4448,434
(C8×D7).4C4 = D7×M5(2)φ: C4/C2C2 ⊆ Out C8×D71124(C8xD7).4C4448,440
(C8×D7).5C4 = D7×C32φ: trivial image2242(C8xD7).5C4448,3
(C8×D7).6C4 = D7×C2×C16φ: trivial image224(C8xD7).6C4448,433

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