# Extensions 1→N→G→Q→1 with N=Q8×C23 and Q=C2

Direct product G=N×Q with N=Q8×C23 and Q=C2
dρLabelID
Q8×C24128Q8xC2^4128,2321

Semidirect products G=N:Q with N=Q8×C23 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C23)⋊1C2 = C2×C23⋊Q8φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):1C2128,1117
(Q8×C23)⋊2C2 = C23.309C24φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):2C2128,1141
(Q8×C23)⋊3C2 = C24.565C23φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):3C2128,1168
(Q8×C23)⋊4C2 = C23.514C24φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):4C2128,1346
(Q8×C23)⋊5C2 = C2×Q8⋊D4φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):5C2128,1730
(Q8×C23)⋊6C2 = C24.178D4φ: C2/C1C2 ⊆ Out Q8×C2332(Q8xC2^3):6C2128,1736
(Q8×C23)⋊7C2 = C22×C22⋊Q8φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):7C2128,2165
(Q8×C23)⋊8C2 = C22×C4.4D4φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):8C2128,2168
(Q8×C23)⋊9C2 = C2×C23.38C23φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):9C2128,2179
(Q8×C23)⋊10C2 = C2×Q85D4φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):10C2128,2197
(Q8×C23)⋊11C2 = C2×D4×Q8φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):11C2128,2198
(Q8×C23)⋊12C2 = C22.75C25φ: C2/C1C2 ⊆ Out Q8×C2332(Q8xC2^3):12C2128,2218
(Q8×C23)⋊13C2 = C23×SD16φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):13C2128,2307
(Q8×C23)⋊14C2 = C22×C8.C22φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):14C2128,2311
(Q8×C23)⋊15C2 = C22×2- 1+4φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3):15C2128,2324
(Q8×C23)⋊16C2 = C23×C4○D4φ: trivial image64(Q8xC2^3):16C2128,2322

Non-split extensions G=N.Q with N=Q8×C23 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C23).1C2 = C24.636C23φ: C2/C1C2 ⊆ Out Q8×C23128(Q8xC2^3).1C2128,178
(Q8×C23).2C2 = C4.C22≀C2φ: C2/C1C2 ⊆ Out Q8×C2332(Q8xC2^3).2C2128,516
(Q8×C23).3C2 = C24.155D4φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3).3C2128,519
(Q8×C23).4C2 = C2×C23.67C23φ: C2/C1C2 ⊆ Out Q8×C23128(Q8xC2^3).4C2128,1026
(Q8×C23).5C2 = C23.192C24φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3).5C2128,1042
(Q8×C23).6C2 = Q8×C22⋊C4φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3).6C2128,1072
(Q8×C23).7C2 = C2×C23.78C23φ: C2/C1C2 ⊆ Out Q8×C23128(Q8xC2^3).7C2128,1119
(Q8×C23).8C2 = C23.334C24φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3).8C2128,1166
(Q8×C23).9C2 = C22×C4.10D4φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3).9C2128,1618
(Q8×C23).10C2 = C22×Q8⋊C4φ: C2/C1C2 ⊆ Out Q8×C23128(Q8xC2^3).10C2128,1623
(Q8×C23).11C2 = C2×C23.38D4φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3).11C2128,1626
(Q8×C23).12C2 = C2×C22⋊Q16φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3).12C2128,1731
(Q8×C23).13C2 = C2×C23.32C23φ: C2/C1C2 ⊆ Out Q8×C2364(Q8xC2^3).13C2128,2158
(Q8×C23).14C2 = C22×C4⋊Q8φ: C2/C1C2 ⊆ Out Q8×C23128(Q8xC2^3).14C2128,2173
(Q8×C23).15C2 = C23×Q16φ: C2/C1C2 ⊆ Out Q8×C23128(Q8xC2^3).15C2128,2308
(Q8×C23).16C2 = Q8×C22×C4φ: trivial image128(Q8xC2^3).16C2128,2155

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