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Extensions 1→N→G→Q→1 with N=C22 and Q=D30.C2

Direct product G=N×Q with N=C22 and Q=D30.C2
dρLabelID
C22×D30.C2240C2^2xD30.C2480,1117

Semidirect products G=N:Q with N=C22 and Q=D30.C2
extensionφ:Q→Aut NdρLabelID
C22⋊(D30.C2) = Dic5⋊2S4φ: D30.C2/Dic5 → S3 ⊆ Aut C22606C2^2:(D30.C2)480,977
C22⋊2(D30.C2) = C15⋊28(C4×D4)φ: D30.C2/C5×Dic3 → C2 ⊆ Aut C22240C2^2:2(D30.C2)480,632
C22⋊3(D30.C2) = C15⋊26(C4×D4)φ: D30.C2/C3×Dic5 → C2 ⊆ Aut C22240C2^2:3(D30.C2)480,628
C22⋊4(D30.C2) = D30.45D4φ: D30.C2/D30 → C2 ⊆ Aut C22120C2^2:4(D30.C2)480,637

Non-split extensions G=N.Q with N=C22 and Q=D30.C2
extensionφ:Q→Aut NdρLabelID
C22.1(D30.C2) = D60.4C4φ: D30.C2/C5×Dic3 → C2 ⊆ Aut C222404C2^2.1(D30.C2)480,367
C22.2(D30.C2) = D60.5C4φ: D30.C2/C3×Dic5 → C2 ⊆ Aut C222404C2^2.2(D30.C2)480,366
C22.3(D30.C2) = C60.29D4φ: D30.C2/D30 → C2 ⊆ Aut C221204+C2^2.3(D30.C2)480,36
C22.4(D30.C2) = C60.31D4φ: D30.C2/D30 → C2 ⊆ Aut C222404-C2^2.4(D30.C2)480,39
C22.5(D30.C2) = C15⋊9(C23⋊C4)φ: D30.C2/D30 → C2 ⊆ Aut C221204C2^2.5(D30.C2)480,73
C22.6(D30.C2) = D15⋊4M4(2)φ: D30.C2/D30 → C2 ⊆ Aut C221204C2^2.6(D30.C2)480,368
C22.7(D30.C2) = C23.48(S3×D5)φ: D30.C2/D30 → C2 ⊆ Aut C22240C2^2.7(D30.C2)480,608
C22.8(D30.C2) = Dic15⋊4C8central extension (φ=1)480C2^2.8(D30.C2)480,27
C22.9(D30.C2) = C30.23C42central extension (φ=1)480C2^2.9(D30.C2)480,30
C22.10(D30.C2) = D30⋊4C8central extension (φ=1)240C2^2.10(D30.C2)480,33
C22.11(D30.C2) = C60.14Q8central extension (φ=1)480C2^2.11(D30.C2)480,59
C22.12(D30.C2) = C30.24C42central extension (φ=1)480C2^2.12(D30.C2)480,70
C22.13(D30.C2) = C2×D15⋊2C8central extension (φ=1)240C2^2.13(D30.C2)480,365
C22.14(D30.C2) = C2×D30.5C4central extension (φ=1)240C2^2.14(D30.C2)480,371
C22.15(D30.C2) = C2×Dic3×Dic5central extension (φ=1)480C2^2.15(D30.C2)480,603
C22.16(D30.C2) = C2×D30⋊4C4central extension (φ=1)240C2^2.16(D30.C2)480,616
C22.17(D30.C2) = C2×Dic15⋊5C4central extension (φ=1)480C2^2.17(D30.C2)480,620

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