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Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×Q8

Direct product G=N×Q with N=Q8 and Q=C2×Q8
dρLabelID
C2×Q82128C2xQ8^2128,2209

Semidirect products G=N:Q with N=Q8 and Q=C2×Q8
extensionφ:Q→Out NdρLabelID
Q8⋊1(C2×Q8) = C2×Q8⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Out Q8128Q8:1(C2xQ8)128,1805
Q8⋊2(C2×Q8) = C2×C4.Q16φ: C2×Q8/C2×C4 → C2 ⊆ Out Q8128Q8:2(C2xQ8)128,1806
Q8⋊3(C2×Q8) = C42.448D4φ: C2×Q8/C2×C4 → C2 ⊆ Out Q864Q8:3(C2xQ8)128,1811
Q8⋊4(C2×Q8) = Q8×SD16φ: C2×Q8/Q8 → C2 ⊆ Out Q864Q8:4(C2xQ8)128,2111
Q8⋊5(C2×Q8) = SD16⋊2Q8φ: C2×Q8/Q8 → C2 ⊆ Out Q864Q8:5(C2xQ8)128,2118
Q8⋊6(C2×Q8) = C2×Q8⋊3Q8φ: trivial image128Q8:6(C2xQ8)128,2208
Q8⋊7(C2×Q8) = Q8×C4○D4φ: trivial image64Q8:7(C2xQ8)128,2210
Q8⋊8(C2×Q8) = C22.92C25φ: trivial image64Q8:8(C2xQ8)128,2235

Non-split extensions G=N.Q with N=Q8 and Q=C2×Q8
extensionφ:Q→Out NdρLabelID
Q8.1(C2×Q8) = C2×Q8.Q8φ: C2×Q8/C2×C4 → C2 ⊆ Out Q8128Q8.1(C2xQ8)128,1807
Q8.2(C2×Q8) = C42.447D4φ: C2×Q8/C2×C4 → C2 ⊆ Out Q864Q8.2(C2xQ8)128,1808
Q8.3(C2×Q8) = C42.220D4φ: C2×Q8/C2×C4 → C2 ⊆ Out Q864Q8.3(C2xQ8)128,1810
Q8.4(C2×Q8) = C42.449D4φ: C2×Q8/C2×C4 → C2 ⊆ Out Q864Q8.4(C2xQ8)128,1812
Q8.5(C2×Q8) = C42.21C23φ: C2×Q8/C2×C4 → C2 ⊆ Out Q864Q8.5(C2xQ8)128,1814
Q8.6(C2×Q8) = C42.22C23φ: C2×Q8/C2×C4 → C2 ⊆ Out Q864Q8.6(C2xQ8)128,1815
Q8.7(C2×Q8) = C42.23C23φ: C2×Q8/C2×C4 → C2 ⊆ Out Q864Q8.7(C2xQ8)128,1816
Q8.8(C2×Q8) = SD16⋊4Q8φ: C2×Q8/Q8 → C2 ⊆ Out Q864Q8.8(C2xQ8)128,2113
Q8.9(C2×Q8) = Q8×Q16φ: C2×Q8/Q8 → C2 ⊆ Out Q8128Q8.9(C2xQ8)128,2114
Q8.10(C2×Q8) = Q16⋊6Q8φ: C2×Q8/Q8 → C2 ⊆ Out Q8128Q8.10(C2xQ8)128,2115
Q8.11(C2×Q8) = SD16⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Out Q864Q8.11(C2xQ8)128,2117
Q8.12(C2×Q8) = Q16⋊4Q8φ: C2×Q8/Q8 → C2 ⊆ Out Q8128Q8.12(C2xQ8)128,2119
Q8.13(C2×Q8) = SD16⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Out Q864Q8.13(C2xQ8)128,2120
Q8.14(C2×Q8) = Q16⋊5Q8φ: C2×Q8/Q8 → C2 ⊆ Out Q8128Q8.14(C2xQ8)128,2122
Q8.15(C2×Q8) = C22.91C25φ: trivial image64Q8.15(C2xQ8)128,2234
Q8.16(C2×Q8) = C22.93C25φ: trivial image64Q8.16(C2xQ8)128,2236

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