# Extensions 1→N→G→Q→1 with N=C22.53C24 and Q=C2

Direct product G=N×Q with N=C22.53C24 and Q=C2
dρLabelID
C2×C22.53C2464C2xC2^2.53C2^4128,2211

Semidirect products G=N:Q with N=C22.53C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.53C241C2 = C42.181C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:1C2128,352
C22.53C242C2 = C42.13D4φ: C2/C1C2 ⊆ Out C22.53C24164C2^2.53C2^4:2C2128,930
C22.53C243C2 = C42.502C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:3C2128,2093
C22.53C244C2 = C42.511C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:4C2128,2102
C22.53C245C2 = C42.514C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:5C2128,2105
C22.53C246C2 = C42.528C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:6C2128,2126
C22.53C247C2 = C42.530C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:7C2128,2128
C22.53C248C2 = C42.74C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:8C2128,2131
C22.53C249C2 = C42.531C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:9C2128,2133
C22.53C2410C2 = C42.533C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:10C2128,2135
C22.53C2411C2 = C22.95C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:11C2128,2238
C22.53C2412C2 = C22.96C25φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:12C2128,2239
C22.53C2413C2 = C22.97C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:13C2128,2240
C22.53C2414C2 = C22.99C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:14C2128,2242
C22.53C2415C2 = C22.102C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:15C2128,2245
C22.53C2416C2 = C22.103C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:16C2128,2246
C22.53C2417C2 = C22.111C25φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:17C2128,2254
C22.53C2418C2 = C22.113C25φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:18C2128,2256
C22.53C2419C2 = C22.122C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:19C2128,2265
C22.53C2420C2 = C22.129C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:20C2128,2272
C22.53C2421C2 = C22.132C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:21C2128,2275
C22.53C2422C2 = C22.139C25φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:22C2128,2282
C22.53C2423C2 = C22.143C25φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:23C2128,2286
C22.53C2424C2 = C22.146C25φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4:24C2128,2289
C22.53C2425C2 = C22.147C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:25C2128,2290
C22.53C2426C2 = C22.151C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:26C2128,2294
C22.53C2427C2 = C22.155C25φ: C2/C1C2 ⊆ Out C22.53C2432C2^2.53C2^4:27C2128,2298
C22.53C2428C2 = C22.69C25φ: trivial image64C2^2.53C2^4:28C2128,2212
C22.53C2429C2 = C22.70C25φ: trivial image32C2^2.53C2^4:29C2128,2213

Non-split extensions G=N.Q with N=C22.53C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.53C24.1C2 = C42.191C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4.1C2128,362
C22.53C24.2C2 = C42.201C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4.2C2128,372
C22.53C24.3C2 = C42.506C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4.3C2128,2097
C22.53C24.4C2 = C42.512C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4.4C2128,2103
C22.53C24.5C2 = C42.516C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4.5C2128,2107
C22.53C24.6C2 = C42.75C23φ: C2/C1C2 ⊆ Out C22.53C2464C2^2.53C2^4.6C2128,2132

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