# Extensions 1→N→G→Q→1 with N=C23.D7 and Q=C4

Direct product G=N×Q with N=C23.D7 and Q=C4
dρLabelID
C4×C23.D7224C4xC2^3.D7448,743

Semidirect products G=N:Q with N=C23.D7 and Q=C4
extensionφ:Q→Out NdρLabelID
C23.D71C4 = C7⋊C2≀C4φ: C4/C1C4 ⊆ Out C23.D7568+C2^3.D7:1C4448,28
C23.D72C4 = (C2×C28).D4φ: C4/C1C4 ⊆ Out C23.D71128-C2^3.D7:2C4448,29
C23.D73C4 = C23.3D28φ: C4/C1C4 ⊆ Out C23.D7568+C2^3.D7:3C4448,32
C23.D74C4 = C23.4D28φ: C4/C1C4 ⊆ Out C23.D71128-C2^3.D7:4C4448,33
C23.D75C4 = C24.D14φ: C4/C2C2 ⊆ Out C23.D7112C2^3.D7:5C4448,83
C23.D76C4 = C24.2D14φ: C4/C2C2 ⊆ Out C23.D7112C2^3.D7:6C4448,84
C23.D77C4 = C22⋊C4×Dic7φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7:7C4448,475
C23.D78C4 = C24.3D14φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7:8C4448,478
C23.D79C4 = C24.4D14φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7:9C4448,479
C23.D710C4 = C24.46D14φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7:10C4448,480
C23.D711C4 = C24.62D14φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7:11C4448,744

Non-split extensions G=N.Q with N=C23.D7 and Q=C4
extensionφ:Q→Out NdρLabelID
C23.D7.1C4 = (C2×C56)⋊C4φ: C4/C2C2 ⊆ Out C23.D71124C2^3.D7.1C4448,113
C23.D7.2C4 = M4(2)⋊4Dic7φ: C4/C2C2 ⊆ Out C23.D71124C2^3.D7.2C4448,116
C23.D7.3C4 = C56⋊C4⋊C2φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.3C4448,254
C23.D7.4C4 = C7⋊D4⋊C8φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.4C4448,259
C23.D7.5C4 = D142M4(2)φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.5C4448,262
C23.D7.6C4 = Dic7⋊M4(2)φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.6C4448,263
C23.D7.7C4 = C7⋊C826D4φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.7C4448,264
C23.D7.8C4 = Dic7⋊C8⋊C2φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.8C4448,636
C23.D7.9C4 = C5632D4φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.9C4448,645
C23.D7.10C4 = C28.439(C2×D4)φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.10C4448,653
C23.D7.11C4 = C28.7C42φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.11C4448,656
C23.D7.12C4 = C56⋊D4φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.12C4448,661
C23.D7.13C4 = C5618D4φ: C4/C2C2 ⊆ Out C23.D7224C2^3.D7.13C4448,662
C23.D7.14C4 = C28.12C42φ: trivial image224C2^3.D7.14C4448,635
C23.D7.15C4 = C8×C7⋊D4φ: trivial image224C2^3.D7.15C4448,643

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