Extensions 1→N→G→Q→1 with N=C22.56C24 and Q=C2

Direct product G=N×Q with N=C22.56C24 and Q=C2
dρLabelID
C2×C22.56C2464C2xC2^2.56C2^4128,2259

Semidirect products G=N:Q with N=C22.56C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.56C241C2 = C42.2C23φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4:1C2128,388
C22.56C242C2 = C22.122C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:2C2128,2265
C22.56C243C2 = C22.123C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:3C2128,2266
C22.56C244C2 = C22.124C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:4C2128,2267
C22.56C245C2 = C22.125C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:5C2128,2268
C22.56C246C2 = C22.130C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:6C2128,2273
C22.56C247C2 = C22.131C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:7C2128,2274
C22.56C248C2 = C22.134C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:8C2128,2277
C22.56C249C2 = C22.136C25φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4:9C2128,2279
C22.56C2410C2 = C22.137C25φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4:10C2128,2280
C22.56C2411C2 = C22.142C25φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4:11C2128,2285
C22.56C2412C2 = C22.143C25φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4:12C2128,2286
C22.56C2413C2 = C22.147C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:13C2128,2290
C22.56C2414C2 = C22.148C25φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4:14C2128,2291
C22.56C2415C2 = C22.150C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:15C2128,2293
C22.56C2416C2 = C22.151C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:16C2128,2294
C22.56C2417C2 = C22.154C25φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4:17C2128,2297
C22.56C2418C2 = C22.155C25φ: C2/C1C2 ⊆ Out C22.56C2432C2^2.56C2^4:18C2128,2298
C22.56C2419C2 = C22.156C25φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4:19C2128,2299
C22.56C2420C2 = C22.118C25φ: trivial image32C2^2.56C2^4:20C2128,2261
C22.56C2421C2 = C22.120C25φ: trivial image64C2^2.56C2^4:21C2128,2263

Non-split extensions G=N.Q with N=C22.56C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.56C24.1C2 = C42.7C23φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4.1C2128,393
C22.56C24.2C2 = C42.8C23φ: C2/C1C2 ⊆ Out C22.56C2464C2^2.56C2^4.2C2128,394

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