# Extensions 1→N→G→Q→1 with N=C42 and Q=F5

Direct product G=N×Q with N=C42 and Q=F5
dρLabelID
C42×F580C4^2xF5320,1023

Semidirect products G=N:Q with N=C42 and Q=F5
extensionφ:Q→Aut NdρLabelID
C421F5 = C42⋊F5φ: F5/C5C4 ⊆ Aut C42404+C4^2:1F5320,191
C422F5 = C422F5φ: F5/C5C4 ⊆ Aut C42804C4^2:2F5320,192
C423F5 = C423F5φ: F5/C5C4 ⊆ Aut C42804C4^2:3F5320,201
C424F5 = C424F5φ: F5/D5C2 ⊆ Aut C4280C4^2:4F5320,1024
C425F5 = C425F5φ: F5/D5C2 ⊆ Aut C4280C4^2:5F5320,1028
C426F5 = C426F5φ: F5/D5C2 ⊆ Aut C42404C4^2:6F5320,200
C427F5 = C4×C4⋊F5φ: F5/D5C2 ⊆ Aut C4280C4^2:7F5320,1025
C428F5 = C428F5φ: F5/D5C2 ⊆ Aut C4280C4^2:8F5320,1026
C429F5 = C429F5φ: F5/D5C2 ⊆ Aut C4280C4^2:9F5320,1027

Non-split extensions G=N.Q with N=C42 and Q=F5
extensionφ:Q→Aut NdρLabelID
C42.1F5 = C42.F5φ: F5/C5C4 ⊆ Aut C42804-C4^2.1F5320,193
C42.2F5 = C42.2F5φ: F5/C5C4 ⊆ Aut C42804C4^2.2F5320,194
C42.3F5 = C42.3F5φ: F5/C5C4 ⊆ Aut C42804C4^2.3F5320,198
C42.4F5 = C42.4F5φ: F5/D5C2 ⊆ Aut C42320C4^2.4F5320,197
C42.5F5 = C42.5F5φ: F5/D5C2 ⊆ Aut C42160C4^2.5F5320,1014
C42.6F5 = C42.6F5φ: F5/D5C2 ⊆ Aut C42160C4^2.6F5320,1016
C42.7F5 = C42.7F5φ: F5/D5C2 ⊆ Aut C42160C4^2.7F5320,1022
C42.8F5 = C20⋊C16φ: F5/D5C2 ⊆ Aut C42320C4^2.8F5320,196
C42.9F5 = C42.9F5φ: F5/D5C2 ⊆ Aut C42804C4^2.9F5320,199
C42.10F5 = C4×C4.F5φ: F5/D5C2 ⊆ Aut C42160C4^2.10F5320,1015
C42.11F5 = C42.11F5φ: F5/D5C2 ⊆ Aut C42160C4^2.11F5320,1017
C42.12F5 = C42.12F5φ: F5/D5C2 ⊆ Aut C42160C4^2.12F5320,1018
C42.13F5 = C203M4(2)φ: F5/D5C2 ⊆ Aut C42160C4^2.13F5320,1019
C42.14F5 = C42.14F5φ: F5/D5C2 ⊆ Aut C42160C4^2.14F5320,1020
C42.15F5 = C42.15F5φ: F5/D5C2 ⊆ Aut C42160C4^2.15F5320,1021
C42.16F5 = C4×C5⋊C16central extension (φ=1)320C4^2.16F5320,195
C42.17F5 = C4×D5⋊C8central extension (φ=1)160C4^2.17F5320,1013

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