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

Direct product G=N×Q with N=C2×C7⋊D4 and Q=C2
dρLabelID
C22×C7⋊D4112C2^2xC7:D4224,188

Semidirect products G=N:Q with N=C2×C7⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C7⋊D4)⋊1C2 = C22⋊D28φ: C2/C1 → C2 ⊆ Out C2×C7⋊D456(C2xC7:D4):1C2224,77
(C2×C7⋊D4)⋊2C2 = D14⋊D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4):2C2224,79
(C2×C7⋊D4)⋊3C2 = C28⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4):3C2224,125
(C2×C7⋊D4)⋊4C2 = C23⋊D14φ: C2/C1 → C2 ⊆ Out C2×C7⋊D456(C2xC7:D4):4C2224,132
(C2×C7⋊D4)⋊5C2 = C28⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4):5C2224,133
(C2×C7⋊D4)⋊6C2 = Dic7⋊D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4):6C2224,134
(C2×C7⋊D4)⋊7C2 = C28⋊D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4):7C2224,135
(C2×C7⋊D4)⋊8C2 = C24⋊D7φ: C2/C1 → C2 ⊆ Out C2×C7⋊D456(C2xC7:D4):8C2224,148
(C2×C7⋊D4)⋊9C2 = C2×D4×D7φ: C2/C1 → C2 ⊆ Out C2×C7⋊D456(C2xC7:D4):9C2224,178
(C2×C7⋊D4)⋊10C2 = C2×D4⋊2D7φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4):10C2224,179
(C2×C7⋊D4)⋊11C2 = D4⋊6D14φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4564(C2xC7:D4):11C2224,180
(C2×C7⋊D4)⋊12C2 = C2×C4○D28φ: trivial image112(C2xC7:D4):12C2224,177

Non-split extensions G=N.Q with N=C2×C7⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C7⋊D4).1C2 = C23.1D14φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4564(C2xC7:D4).1C2224,12
(C2×C7⋊D4).2C2 = Dic7⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4).2C2224,76
(C2×C7⋊D4).3C2 = D14.D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4).3C2224,78
(C2×C7⋊D4).4C2 = Dic7.D4φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4).4C2224,80
(C2×C7⋊D4).5C2 = C22.D28φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4).5C2224,81
(C2×C7⋊D4).6C2 = C23.23D14φ: C2/C1 → C2 ⊆ Out C2×C7⋊D4112(C2xC7:D4).6C2224,124
(C2×C7⋊D4).7C2 = C4×C7⋊D4φ: trivial image112(C2xC7:D4).7C2224,123

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