# Extensions 1→N→G→Q→1 with N=C4 and Q=C4×D13

Direct product G=N×Q with N=C4 and Q=C4×D13
dρLabelID
C42×D13208C4^2xD13416,92

Semidirect products G=N:Q with N=C4 and Q=C4×D13
extensionφ:Q→Aut NdρLabelID
C41(C4×D13) = D528C4φ: C4×D13/Dic13C2 ⊆ Aut C4208C4:1(C4xD13)416,114
C42(C4×D13) = C4×D52φ: C4×D13/C52C2 ⊆ Aut C4208C4:2(C4xD13)416,94
C43(C4×D13) = C4⋊C4×D13φ: C4×D13/D26C2 ⊆ Aut C4208C4:3(C4xD13)416,112

Non-split extensions G=N.Q with N=C4 and Q=C4×D13
extensionφ:Q→Aut NdρLabelID
C4.1(C4×D13) = D526C4φ: C4×D13/Dic13C2 ⊆ Aut C4208C4.1(C4xD13)416,16
C4.2(C4×D13) = C26.Q16φ: C4×D13/Dic13C2 ⊆ Aut C4416C4.2(C4xD13)416,17
C4.3(C4×D13) = D527C4φ: C4×D13/Dic13C2 ⊆ Aut C41044C4.3(C4xD13)416,32
C4.4(C4×D13) = Dic133Q8φ: C4×D13/Dic13C2 ⊆ Aut C4416C4.4(C4xD13)416,108
C4.5(C4×D13) = D52.2C4φ: C4×D13/Dic13C2 ⊆ Aut C42084C4.5(C4xD13)416,128
C4.6(C4×D13) = D524C4φ: C4×D13/C52C2 ⊆ Aut C41042C4.6(C4xD13)416,12
C4.7(C4×D13) = C52.44D4φ: C4×D13/C52C2 ⊆ Aut C4416C4.7(C4xD13)416,23
C4.8(C4×D13) = D525C4φ: C4×D13/C52C2 ⊆ Aut C4208C4.8(C4xD13)416,28
C4.9(C4×D13) = C4×Dic26φ: C4×D13/C52C2 ⊆ Aut C4416C4.9(C4xD13)416,89
C4.10(C4×D13) = D52.3C4φ: C4×D13/C52C2 ⊆ Aut C42082C4.10(C4xD13)416,122
C4.11(C4×D13) = C26.D8φ: C4×D13/D26C2 ⊆ Aut C4416C4.11(C4xD13)416,14
C4.12(C4×D13) = C52.Q8φ: C4×D13/D26C2 ⊆ Aut C4416C4.12(C4xD13)416,15
C4.13(C4×D13) = C52.53D4φ: C4×D13/D26C2 ⊆ Aut C42084C4.13(C4xD13)416,29
C4.14(C4×D13) = C4⋊C47D13φ: C4×D13/D26C2 ⊆ Aut C4208C4.14(C4xD13)416,113
C4.15(C4×D13) = M4(2)×D13φ: C4×D13/D26C2 ⊆ Aut C41044C4.15(C4xD13)416,127
C4.16(C4×D13) = C16×D13central extension (φ=1)2082C4.16(C4xD13)416,4
C4.17(C4×D13) = C208⋊C2central extension (φ=1)2082C4.17(C4xD13)416,5
C4.18(C4×D13) = C4×C132C8central extension (φ=1)416C4.18(C4xD13)416,9
C4.19(C4×D13) = C26.7C42central extension (φ=1)416C4.19(C4xD13)416,10
C4.20(C4×D13) = C8×Dic13central extension (φ=1)416C4.20(C4xD13)416,20
C4.21(C4×D13) = C1048C4central extension (φ=1)416C4.21(C4xD13)416,22
C4.22(C4×D13) = C42⋊D13central extension (φ=1)208C4.22(C4xD13)416,93
C4.23(C4×D13) = C2×C8×D13central extension (φ=1)208C4.23(C4xD13)416,120
C4.24(C4×D13) = C2×C8⋊D13central extension (φ=1)208C4.24(C4xD13)416,121

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