# Extensions 1→N→G→Q→1 with N=D7×C16 and Q=C2

Direct product G=N×Q with N=D7×C16 and Q=C2
dρLabelID
D7×C2×C16224D7xC2xC16448,433

Semidirect products G=N:Q with N=D7×C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×C16)⋊1C2 = D7×D16φ: C2/C1C2 ⊆ Out D7×C161124+(D7xC16):1C2448,444
(D7×C16)⋊2C2 = D163D7φ: C2/C1C2 ⊆ Out D7×C162244-(D7xC16):2C2448,446
(D7×C16)⋊3C2 = Q323D7φ: C2/C1C2 ⊆ Out D7×C162244+(D7xC16):3C2448,453
(D7×C16)⋊4C2 = D7×SD32φ: C2/C1C2 ⊆ Out D7×C161124(D7xC16):4C2448,447
(D7×C16)⋊5C2 = SD323D7φ: C2/C1C2 ⊆ Out D7×C162244(D7xC16):5C2448,450
(D7×C16)⋊6C2 = D28.4C8φ: C2/C1C2 ⊆ Out D7×C162242(D7xC16):6C2448,435
(D7×C16)⋊7C2 = D7×M5(2)φ: C2/C1C2 ⊆ Out D7×C161124(D7xC16):7C2448,440
(D7×C16)⋊8C2 = C16.12D14φ: C2/C1C2 ⊆ Out D7×C162244(D7xC16):8C2448,441

Non-split extensions G=N.Q with N=D7×C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×C16).1C2 = D7×Q32φ: C2/C1C2 ⊆ Out D7×C162244-(D7xC16).1C2448,451
(D7×C16).2C2 = C32⋊D7φ: C2/C1C2 ⊆ Out D7×C162242(D7xC16).2C2448,4
(D7×C16).3C2 = D7×C32φ: trivial image2242(D7xC16).3C2448,3

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