Extensions 1→N→G→Q→1 with N=C2.C25 and Q=C2

Direct product G=N×Q with N=C2.C25 and Q=C2
dρLabelID
C2×C2.C2532C2xC2.C2^5128,2325

Semidirect products G=N:Q with N=C2.C25 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.C251C2 = C42.313C23φ: C2/C1C2 ⊆ Out C2.C25164C2.C2^5:1C2128,1750
C2.C252C2 = C42.12C23φ: C2/C1C2 ⊆ Out C2.C25168+C2.C2^5:2C2128,1753
C2.C253C2 = C23.7C24φ: C2/C1C2 ⊆ Out C2.C25164C2.C2^5:3C2128,1757
C2.C254C2 = C23.9C24φ: C2/C1C2 ⊆ Out C2.C25168+C2.C2^5:4C2128,1759
C2.C255C2 = C8.C24φ: C2/C1C2 ⊆ Out C2.C25324C2.C2^5:5C2128,2316
C2.C256C2 = D8⋊C23φ: C2/C1C2 ⊆ Out C2.C25168+C2.C2^5:6C2128,2317
C2.C257C2 = C4.C25φ: C2/C1C2 ⊆ Out C2.C25328-C2.C2^5:7C2128,2318
C2.C258C2 = 2+ 1+6φ: C2/C1C2 ⊆ Out C2.C25168+C2.C2^5:8C2128,2326
C2.C259C2 = 2- 1+6φ: C2/C1C2 ⊆ Out C2.C25328-C2.C2^5:9C2128,2327

Non-split extensions G=N.Q with N=C2.C25 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.C25.1C2 = 2+ 1+4.2C4φ: C2/C1C2 ⊆ Out C2.C25324C2.C2^5.1C2128,523
C2.C25.2C2 = 2+ 1+44C4φ: C2/C1C2 ⊆ Out C2.C25324C2.C2^5.2C2128,526
C2.C25.3C2 = 2- 1+45C4φ: C2/C1C2 ⊆ Out C2.C25164C2.C2^5.3C2128,1633
C2.C25.4C2 = C42.13C23φ: C2/C1C2 ⊆ Out C2.C25328-C2.C2^5.4C2128,1754
C2.C25.5C2 = C23.10C24φ: C2/C1C2 ⊆ Out C2.C25328-C2.C2^5.5C2128,1760
C2.C25.6C2 = C4.22C25φ: trivial image324C2.C2^5.6C2128,2305

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