# Extensions 1→N→G→Q→1 with N=C22 and Q=C23.D5

Direct product G=N×Q with N=C22 and Q=C23.D5
dρLabelID
C22×C23.D5160C2^2xC2^3.D5320,1511

Semidirect products G=N:Q with N=C22 and Q=C23.D5
extensionφ:Q→Aut NdρLabelID
C221(C23.D5) = C24.18D10φ: C23.D5/C2×Dic5C2 ⊆ Aut C22160C2^2:1(C2^3.D5)320,847
C222(C23.D5) = C25.2D5φ: C23.D5/C22×C10C2 ⊆ Aut C2280C2^2:2(C2^3.D5)320,874

Non-split extensions G=N.Q with N=C22 and Q=C23.D5
extensionφ:Q→Aut NdρLabelID
C22.1(C23.D5) = C2×C23⋊Dic5φ: C23.D5/C2×Dic5C2 ⊆ Aut C2280C2^2.1(C2^3.D5)320,846
C22.2(C23.D5) = C4○D4⋊Dic5φ: C23.D5/C2×Dic5C2 ⊆ Aut C22160C2^2.2(C2^3.D5)320,859
C22.3(C23.D5) = C20.(C2×D4)φ: C23.D5/C2×Dic5C2 ⊆ Aut C22160C2^2.3(C2^3.D5)320,860
C22.4(C23.D5) = (D4×C10).24C4φ: C23.D5/C2×Dic5C2 ⊆ Aut C22160C2^2.4(C2^3.D5)320,861
C22.5(C23.D5) = C2×D42Dic5φ: C23.D5/C2×Dic5C2 ⊆ Aut C2280C2^2.5(C2^3.D5)320,862
C22.6(C23.D5) = (D4×C10)⋊21C4φ: C23.D5/C2×Dic5C2 ⊆ Aut C22804C2^2.6(C2^3.D5)320,863
C22.7(C23.D5) = (D4×C10).29C4φ: C23.D5/C2×Dic5C2 ⊆ Aut C22804C2^2.7(C2^3.D5)320,864
C22.8(C23.D5) = C426Dic5φ: C23.D5/C22×C10C2 ⊆ Aut C2280C2^2.8(C2^3.D5)320,81
C22.9(C23.D5) = C24.2D10φ: C23.D5/C22×C10C2 ⊆ Aut C2280C2^2.9(C2^3.D5)320,85
C22.10(C23.D5) = C421Dic5φ: C23.D5/C22×C10C2 ⊆ Aut C22804C2^2.10(C2^3.D5)320,89
C22.11(C23.D5) = C20.60(C4⋊C4)φ: C23.D5/C22×C10C2 ⊆ Aut C22804C2^2.11(C2^3.D5)320,91
C22.12(C23.D5) = C242Dic5φ: C23.D5/C22×C10C2 ⊆ Aut C22404C2^2.12(C2^3.D5)320,94
C22.13(C23.D5) = (C22×C20)⋊C4φ: C23.D5/C22×C10C2 ⊆ Aut C22804C2^2.13(C2^3.D5)320,97
C22.14(C23.D5) = C42⋊Dic5φ: C23.D5/C22×C10C2 ⊆ Aut C22804C2^2.14(C2^3.D5)320,99
C22.15(C23.D5) = C42.Dic5φ: C23.D5/C22×C10C2 ⊆ Aut C22804C2^2.15(C2^3.D5)320,100
C22.16(C23.D5) = C423Dic5φ: C23.D5/C22×C10C2 ⊆ Aut C22404C2^2.16(C2^3.D5)320,103
C22.17(C23.D5) = C42.3Dic5φ: C23.D5/C22×C10C2 ⊆ Aut C22804C2^2.17(C2^3.D5)320,106
C22.18(C23.D5) = C24.4Dic5φ: C23.D5/C22×C10C2 ⊆ Aut C2280C2^2.18(C2^3.D5)320,834
C22.19(C23.D5) = C24.63D10φ: C23.D5/C22×C10C2 ⊆ Aut C22160C2^2.19(C2^3.D5)320,838
C22.20(C23.D5) = (D4×C10)⋊18C4φ: C23.D5/C22×C10C2 ⊆ Aut C2280C2^2.20(C2^3.D5)320,842
C22.21(C23.D5) = (Q8×C10)⋊16C4φ: C23.D5/C22×C10C2 ⊆ Aut C22160C2^2.21(C2^3.D5)320,852
C22.22(C23.D5) = (C2×C20)⋊8C8central extension (φ=1)320C2^2.22(C2^3.D5)320,82
C22.23(C23.D5) = C24.Dic5central extension (φ=1)80C2^2.23(C2^3.D5)320,83
C22.24(C23.D5) = C24.D10central extension (φ=1)80C2^2.24(C2^3.D5)320,84
C22.25(C23.D5) = (C2×C20)⋊C8central extension (φ=1)160C2^2.25(C2^3.D5)320,86
C22.26(C23.D5) = C20.31C42central extension (φ=1)320C2^2.26(C2^3.D5)320,87
C22.27(C23.D5) = (C2×C20).Q8central extension (φ=1)160C2^2.27(C2^3.D5)320,88
C22.28(C23.D5) = C20.32C42central extension (φ=1)80C2^2.28(C2^3.D5)320,90
C22.29(C23.D5) = C20.57D8central extension (φ=1)160C2^2.29(C2^3.D5)320,92
C22.30(C23.D5) = C20.26Q16central extension (φ=1)320C2^2.30(C2^3.D5)320,93
C22.31(C23.D5) = C2×C20.55D4central extension (φ=1)160C2^2.31(C2^3.D5)320,833
C22.32(C23.D5) = C2×C10.10C42central extension (φ=1)320C2^2.32(C2^3.D5)320,835
C22.33(C23.D5) = C2×D4⋊Dic5central extension (φ=1)160C2^2.33(C2^3.D5)320,841
C22.34(C23.D5) = C2×C20.D4central extension (φ=1)80C2^2.34(C2^3.D5)320,843
C22.35(C23.D5) = C2×Q8⋊Dic5central extension (φ=1)320C2^2.35(C2^3.D5)320,851
C22.36(C23.D5) = C2×C20.10D4central extension (φ=1)160C2^2.36(C2^3.D5)320,853
C22.37(C23.D5) = C4⋊C4⋊Dic5central stem extension (φ=1)80C2^2.37(C2^3.D5)320,95
C22.38(C23.D5) = C10.29C4≀C2central stem extension (φ=1)80C2^2.38(C2^3.D5)320,96
C22.39(C23.D5) = C42.7D10central stem extension (φ=1)160C2^2.39(C2^3.D5)320,98
C22.40(C23.D5) = C42.8D10central stem extension (φ=1)320C2^2.40(C2^3.D5)320,101
C22.41(C23.D5) = C20.9D8central stem extension (φ=1)160C2^2.41(C2^3.D5)320,102
C22.42(C23.D5) = C20.5Q16central stem extension (φ=1)320C2^2.42(C2^3.D5)320,104
C22.43(C23.D5) = C20.10D8central stem extension (φ=1)320C2^2.43(C2^3.D5)320,105

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