# Extensions 1→N→G→Q→1 with N=C22 and Q=C6×F5

Direct product G=N×Q with N=C22 and Q=C6×F5
dρLabelID
F5×C22×C6120F5xC2^2xC6480,1205

Semidirect products G=N:Q with N=C22 and Q=C6×F5
extensionφ:Q→Aut NdρLabelID
C22⋊(C6×F5) = C2×A4×F5φ: C6×F5/C2×F5C3 ⊆ Aut C223012+C2^2:(C6xF5)480,1192
C222(C6×F5) = C3×D4×F5φ: C6×F5/C3×F5C2 ⊆ Aut C22608C2^2:2(C6xF5)480,1054
C223(C6×F5) = C6×C22⋊F5φ: C6×F5/C6×D5C2 ⊆ Aut C22120C2^2:3(C6xF5)480,1059

Non-split extensions G=N.Q with N=C22 and Q=C6×F5
extensionφ:Q→Aut NdρLabelID
C22.1(C6×F5) = C3×D4.F5φ: C6×F5/C3×F5C2 ⊆ Aut C222408C2^2.1(C6xF5)480,1053
C22.2(C6×F5) = C3×D10.D4φ: C6×F5/C6×D5C2 ⊆ Aut C221204C2^2.2(C6xF5)480,279
C22.3(C6×F5) = C3×Dic5.D4φ: C6×F5/C6×D5C2 ⊆ Aut C222404C2^2.3(C6xF5)480,285
C22.4(C6×F5) = C3×C23⋊F5φ: C6×F5/C6×D5C2 ⊆ Aut C221204C2^2.4(C6xF5)480,291
C22.5(C6×F5) = C3×C23.F5φ: C6×F5/C6×D5C2 ⊆ Aut C221204C2^2.5(C6xF5)480,293
C22.6(C6×F5) = C3×D5⋊M4(2)φ: C6×F5/C6×D5C2 ⊆ Aut C221204C2^2.6(C6xF5)480,1049
C22.7(C6×F5) = C3×D10.C23φ: C6×F5/C6×D5C2 ⊆ Aut C221204C2^2.7(C6xF5)480,1052
C22.8(C6×F5) = C12×C5⋊C8central extension (φ=1)480C2^2.8(C6xF5)480,280
C22.9(C6×F5) = C3×C20⋊C8central extension (φ=1)480C2^2.9(C6xF5)480,281
C22.10(C6×F5) = C3×C10.C42central extension (φ=1)480C2^2.10(C6xF5)480,282
C22.11(C6×F5) = C3×D10⋊C8central extension (φ=1)240C2^2.11(C6xF5)480,283
C22.12(C6×F5) = C3×Dic5⋊C8central extension (φ=1)480C2^2.12(C6xF5)480,284
C22.13(C6×F5) = C3×D10.3Q8central extension (φ=1)120C2^2.13(C6xF5)480,286
C22.14(C6×F5) = C3×C23.2F5central extension (φ=1)240C2^2.14(C6xF5)480,292
C22.15(C6×F5) = C6×D5⋊C8central extension (φ=1)240C2^2.15(C6xF5)480,1047
C22.16(C6×F5) = C6×C4.F5central extension (φ=1)240C2^2.16(C6xF5)480,1048
C22.17(C6×F5) = F5×C2×C12central extension (φ=1)120C2^2.17(C6xF5)480,1050
C22.18(C6×F5) = C6×C4⋊F5central extension (φ=1)120C2^2.18(C6xF5)480,1051
C22.19(C6×F5) = C2×C6×C5⋊C8central extension (φ=1)480C2^2.19(C6xF5)480,1057
C22.20(C6×F5) = C6×C22.F5central extension (φ=1)240C2^2.20(C6xF5)480,1058

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