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Extensions 1→N→G→Q→1 with N=C2×C7⋊C16 and Q=C2

Direct product G=N×Q with N=C2×C7⋊C16 and Q=C2
dρLabelID
C22×C7⋊C16448C2^2xC7:C16448,630

Semidirect products G=N:Q with N=C2×C7⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C16)⋊1C2 = Dic28.C4φ: C2/C1 → C2 ⊆ Out C2×C7⋊C162244(C2xC7:C16):1C2448,54
(C2×C7⋊C16)⋊2C2 = C28.58D8φ: C2/C1 → C2 ⊆ Out C2×C7⋊C162244(C2xC7:C16):2C2448,124
(C2×C7⋊C16)⋊3C2 = C56.30C23φ: C2/C1 → C2 ⊆ Out C2×C7⋊C162244(C2xC7:C16):3C2448,728
(C2×C7⋊C16)⋊4C2 = C14.D16φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):4C2448,48
(C2×C7⋊C16)⋊5C2 = C14.SD32φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):5C2448,119
(C2×C7⋊C16)⋊6C2 = C2×C7⋊D16φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):6C2448,680
(C2×C7⋊C16)⋊7C2 = C2×D8.D7φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):7C2448,682
(C2×C7⋊C16)⋊8C2 = C2×C7⋊SD32φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):8C2448,712
(C2×C7⋊C16)⋊9C2 = D14⋊C16φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):9C2448,64
(C2×C7⋊C16)⋊10C2 = C56.91D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):10C2448,106
(C2×C7⋊C16)⋊11C2 = C2×C16⋊D7φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):11C2448,434
(C2×C7⋊C16)⋊12C2 = C2×C28.C8φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16224(C2xC7:C16):12C2448,631
(C2×C7⋊C16)⋊13C2 = Dic14.C8φ: C2/C1 → C2 ⊆ Out C2×C7⋊C162244(C2xC7:C16):13C2448,72
(C2×C7⋊C16)⋊14C2 = C56.92D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊C162244(C2xC7:C16):14C2448,118
(C2×C7⋊C16)⋊15C2 = C16.12D14φ: C2/C1 → C2 ⊆ Out C2×C7⋊C162244(C2xC7:C16):15C2448,441
(C2×C7⋊C16)⋊16C2 = C56.70C23φ: C2/C1 → C2 ⊆ Out C2×C7⋊C162244(C2xC7:C16):16C2448,674
(C2×C7⋊C16)⋊17C2 = D7×C2×C16φ: trivial image224(C2xC7:C16):17C2448,433

Non-split extensions G=N.Q with N=C2×C7⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C16).1C2 = C8.7Dic14φ: C2/C1 → C2 ⊆ Out C2×C7⋊C162244(C2xC7:C16).1C2448,50
(C2×C7⋊C16).2C2 = C8.4Dic14φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).2C2448,46
(C2×C7⋊C16).3C2 = C8.5Dic14φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).3C2448,47
(C2×C7⋊C16).4C2 = C56.6D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).4C2448,49
(C2×C7⋊C16).5C2 = C14.Q32φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).5C2448,121
(C2×C7⋊C16).6C2 = C2×C7⋊Q32φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).6C2448,714
(C2×C7⋊C16).7C2 = C56.C8φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).7C2448,18
(C2×C7⋊C16).8C2 = C28⋊C16φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).8C2448,19
(C2×C7⋊C16).9C2 = Dic7⋊C16φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).9C2448,58
(C2×C7⋊C16).10C2 = C112⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C7⋊C16448(C2xC7:C16).10C2448,59
(C2×C7⋊C16).11C2 = C4×C7⋊C16φ: trivial image448(C2xC7:C16).11C2448,17
(C2×C7⋊C16).12C2 = C16×Dic7φ: trivial image448(C2xC7:C16).12C2448,57

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