# Extensions 1→N→G→Q→1 with N=C22 and Q=C23.D7

Direct product G=N×Q with N=C22 and Q=C23.D7
dρLabelID
C22×C23.D7224C2^2xC2^3.D7448,1292

Semidirect products G=N:Q with N=C22 and Q=C23.D7
extensionφ:Q→Aut NdρLabelID
C221(C23.D7) = C24.18D14φ: C23.D7/C2×Dic7C2 ⊆ Aut C22224C2^2:1(C2^3.D7)448,754
C222(C23.D7) = C25.D7φ: C23.D7/C22×C14C2 ⊆ Aut C22112C2^2:2(C2^3.D7)448,781

Non-split extensions G=N.Q with N=C22 and Q=C23.D7
extensionφ:Q→Aut NdρLabelID
C22.1(C23.D7) = C2×C23⋊Dic7φ: C23.D7/C2×Dic7C2 ⊆ Aut C22112C2^2.1(C2^3.D7)448,753
C22.2(C23.D7) = C4○D4⋊Dic7φ: C23.D7/C2×Dic7C2 ⊆ Aut C22224C2^2.2(C2^3.D7)448,766
C22.3(C23.D7) = C28.(C2×D4)φ: C23.D7/C2×Dic7C2 ⊆ Aut C22224C2^2.3(C2^3.D7)448,767
C22.4(C23.D7) = (D4×C14).11C4φ: C23.D7/C2×Dic7C2 ⊆ Aut C22224C2^2.4(C2^3.D7)448,768
C22.5(C23.D7) = C2×D42Dic7φ: C23.D7/C2×Dic7C2 ⊆ Aut C22112C2^2.5(C2^3.D7)448,769
C22.6(C23.D7) = (D4×C14)⋊9C4φ: C23.D7/C2×Dic7C2 ⊆ Aut C221124C2^2.6(C2^3.D7)448,770
C22.7(C23.D7) = (D4×C14).16C4φ: C23.D7/C2×Dic7C2 ⊆ Aut C221124C2^2.7(C2^3.D7)448,771
C22.8(C23.D7) = C28.8C42φ: C23.D7/C22×C14C2 ⊆ Aut C22112C2^2.8(C2^3.D7)448,80
C22.9(C23.D7) = C24.2D14φ: C23.D7/C22×C14C2 ⊆ Aut C22112C2^2.9(C2^3.D7)448,84
C22.10(C23.D7) = C42⋊Dic7φ: C23.D7/C22×C14C2 ⊆ Aut C221124C2^2.10(C2^3.D7)448,88
C22.11(C23.D7) = (C2×C28).Q8φ: C23.D7/C22×C14C2 ⊆ Aut C221124C2^2.11(C2^3.D7)448,90
C22.12(C23.D7) = C24⋊Dic7φ: C23.D7/C22×C14C2 ⊆ Aut C22564C2^2.12(C2^3.D7)448,93
C22.13(C23.D7) = (C22×C28)⋊C4φ: C23.D7/C22×C14C2 ⊆ Aut C221124C2^2.13(C2^3.D7)448,96
C22.14(C23.D7) = C422Dic7φ: C23.D7/C22×C14C2 ⊆ Aut C221124C2^2.14(C2^3.D7)448,98
C22.15(C23.D7) = C42.Dic7φ: C23.D7/C22×C14C2 ⊆ Aut C221124C2^2.15(C2^3.D7)448,99
C22.16(C23.D7) = C423Dic7φ: C23.D7/C22×C14C2 ⊆ Aut C22564C2^2.16(C2^3.D7)448,102
C22.17(C23.D7) = C42.3Dic7φ: C23.D7/C22×C14C2 ⊆ Aut C221124C2^2.17(C2^3.D7)448,105
C22.18(C23.D7) = C24.4Dic7φ: C23.D7/C22×C14C2 ⊆ Aut C22112C2^2.18(C2^3.D7)448,741
C22.19(C23.D7) = C24.63D14φ: C23.D7/C22×C14C2 ⊆ Aut C22224C2^2.19(C2^3.D7)448,745
C22.20(C23.D7) = (D4×C14)⋊6C4φ: C23.D7/C22×C14C2 ⊆ Aut C22112C2^2.20(C2^3.D7)448,749
C22.21(C23.D7) = (Q8×C14)⋊6C4φ: C23.D7/C22×C14C2 ⊆ Aut C22224C2^2.21(C2^3.D7)448,759
C22.22(C23.D7) = (C2×C28)⋊3C8central extension (φ=1)448C2^2.22(C2^3.D7)448,81
C22.23(C23.D7) = C24.Dic7central extension (φ=1)112C2^2.23(C2^3.D7)448,82
C22.24(C23.D7) = C24.D14central extension (φ=1)112C2^2.24(C2^3.D7)448,83
C22.25(C23.D7) = (C2×C28)⋊C8central extension (φ=1)224C2^2.25(C2^3.D7)448,85
C22.26(C23.D7) = C28.C42central extension (φ=1)448C2^2.26(C2^3.D7)448,86
C22.27(C23.D7) = C28.(C4⋊C4)central extension (φ=1)224C2^2.27(C2^3.D7)448,87
C22.28(C23.D7) = C28.2C42central extension (φ=1)112C2^2.28(C2^3.D7)448,89
C22.29(C23.D7) = C28.57D8central extension (φ=1)224C2^2.29(C2^3.D7)448,91
C22.30(C23.D7) = C28.26Q16central extension (φ=1)448C2^2.30(C2^3.D7)448,92
C22.31(C23.D7) = C2×C28.55D4central extension (φ=1)224C2^2.31(C2^3.D7)448,740
C22.32(C23.D7) = C2×C14.C42central extension (φ=1)448C2^2.32(C2^3.D7)448,742
C22.33(C23.D7) = C2×D4⋊Dic7central extension (φ=1)224C2^2.33(C2^3.D7)448,748
C22.34(C23.D7) = C2×C28.D4central extension (φ=1)112C2^2.34(C2^3.D7)448,750
C22.35(C23.D7) = C2×Q8⋊Dic7central extension (φ=1)448C2^2.35(C2^3.D7)448,758
C22.36(C23.D7) = C2×C28.10D4central extension (φ=1)224C2^2.36(C2^3.D7)448,760
C22.37(C23.D7) = (D4×C14)⋊C4central stem extension (φ=1)112C2^2.37(C2^3.D7)448,94
C22.38(C23.D7) = C4⋊C4⋊Dic7central stem extension (φ=1)112C2^2.38(C2^3.D7)448,95
C22.39(C23.D7) = C42.7D14central stem extension (φ=1)224C2^2.39(C2^3.D7)448,97
C22.40(C23.D7) = C42.8D14central stem extension (φ=1)448C2^2.40(C2^3.D7)448,100
C22.41(C23.D7) = C28.9D8central stem extension (φ=1)224C2^2.41(C2^3.D7)448,101
C22.42(C23.D7) = C28.5Q16central stem extension (φ=1)448C2^2.42(C2^3.D7)448,103
C22.43(C23.D7) = C28.10D8central stem extension (φ=1)448C2^2.43(C2^3.D7)448,104

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