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Extensions 1→N→G→Q→1 with N=Q82 and Q=C2

Direct product G=N×Q with N=Q82 and Q=C2
dρLabelID
C2×Q82128C2xQ8^2128,2209

Semidirect products G=N:Q with N=Q82 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q82)⋊1C2 = Q8⋊SD16φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):1C2128,355
(Q82)⋊2C2 = Q8≀C2φ: C2/C1 → C2 ⊆ Out Q82164-(Q8^2):2C2128,937
(Q82)⋊3C2 = Q8⋊8SD16φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):3C2128,2094
(Q82)⋊4C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):4C2128,2101
(Q82)⋊5C2 = C42.516C23φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):5C2128,2107
(Q82)⋊6C2 = Q8×SD16φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):6C2128,2111
(Q82)⋊7C2 = SD16⋊Q8φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):7C2128,2117
(Q82)⋊8C2 = C22.91C25φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):8C2128,2234
(Q82)⋊9C2 = C22.92C25φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):9C2128,2235
(Q82)⋊10C2 = C22.107C25φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):10C2128,2250
(Q82)⋊11C2 = C22.111C25φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):11C2128,2254
(Q82)⋊12C2 = C22.133C25φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):12C2128,2276
(Q82)⋊13C2 = C22.139C25φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):13C2128,2282
(Q82)⋊14C2 = C22.144C25φ: C2/C1 → C2 ⊆ Out Q8264(Q8^2):14C2128,2287
(Q82)⋊15C2 = Q8×C4○D4φ: trivial image64(Q8^2):15C2128,2210
(Q82)⋊16C2 = C22.72C25φ: trivial image64(Q8^2):16C2128,2215

Non-split extensions G=N.Q with N=Q82 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q82).1C2 = Q8⋊Q16φ: C2/C1 → C2 ⊆ Out Q82128(Q8^2).1C2128,365
(Q82).2C2 = Q8⋊3Q16φ: C2/C1 → C2 ⊆ Out Q82128(Q8^2).2C2128,377
(Q82).3C2 = Q8⋊5Q16φ: C2/C1 → C2 ⊆ Out Q82128(Q8^2).3C2128,2095
(Q82).4C2 = Q8×Q16φ: C2/C1 → C2 ⊆ Out Q82128(Q8^2).4C2128,2114
(Q82).5C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out Q82128(Q8^2).5C2128,2119

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