# Extensions 1→N→G→Q→1 with N=C28.10D4 and Q=C2

Direct product G=N×Q with N=C28.10D4 and Q=C2
dρLabelID
C2×C28.10D4224C2xC28.10D4448,760

Semidirect products G=N:Q with N=C28.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.10D41C2 = (C2×C4).D28φ: C2/C1C2 ⊆ Out C28.10D41128+C28.10D4:1C2448,34
C28.10D42C2 = C42.Dic7φ: C2/C1C2 ⊆ Out C28.10D41124C28.10D4:2C2448,99
C28.10D43C2 = D7×C4.10D4φ: C2/C1C2 ⊆ Out C28.10D41128-C28.10D4:3C2448,284
C28.10D44C2 = M4(2).21D14φ: C2/C1C2 ⊆ Out C28.10D41128+C28.10D4:4C2448,285
C28.10D45C2 = D28.14D4φ: C2/C1C2 ⊆ Out C28.10D41124C28.10D4:5C2448,596
C28.10D46C2 = D28.15D4φ: C2/C1C2 ⊆ Out C28.10D41124C28.10D4:6C2448,629
C28.10D47C2 = C56.44D4φ: C2/C1C2 ⊆ Out C28.10D41124C28.10D4:7C2448,711
C28.10D48C2 = C56.29D4φ: C2/C1C2 ⊆ Out C28.10D42244C28.10D4:8C2448,726
C28.10D49C2 = M4(2).15D14φ: C2/C1C2 ⊆ Out C28.10D41128+C28.10D4:9C2448,737
C28.10D410C2 = M4(2).16D14φ: C2/C1C2 ⊆ Out C28.10D42248-C28.10D4:10C2448,738
C28.10D411C2 = 2- 1+4⋊D7φ: C2/C1C2 ⊆ Out C28.10D41128+C28.10D4:11C2448,779
C28.10D412C2 = 2- 1+4.D7φ: C2/C1C2 ⊆ Out C28.10D41128-C28.10D4:12C2448,780
C28.10D413C2 = (D4×C14).16C4φ: trivial image1124C28.10D4:13C2448,771

Non-split extensions G=N.Q with N=C28.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.10D4.1C2 = (C2×Q8).D14φ: C2/C1C2 ⊆ Out C28.10D41128-C28.10D4.1C2448,35
C28.10D4.2C2 = C42.3Dic7φ: C2/C1C2 ⊆ Out C28.10D41124C28.10D4.2C2448,105

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