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Extensions 1→N→G→Q→1 with N=C4 and Q=C8.C4

Direct product G=N×Q with N=C4 and Q=C8.C4
dρLabelID
C4×C8.C464C4xC8.C4128,509

Semidirect products G=N:Q with N=C4 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C8.C4) = C42.324D4φ: C8.C4/C2×C8 → C2 ⊆ Aut C464C4:1(C8.C4)128,580
C4⋊2(C8.C4) = C42.430D4φ: C8.C4/M4(2) → C2 ⊆ Aut C464C4:2(C8.C4)128,682

Non-split extensions G=N.Q with N=C4 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C4.1(C8.C4) = C42.23D4φ: C8.C4/C2×C8 → C2 ⊆ Aut C464C4.1(C8.C4)128,19
C4.2(C8.C4) = C16⋊1C8φ: C8.C4/C2×C8 → C2 ⊆ Aut C4128C4.2(C8.C4)128,100
C4.3(C8.C4) = C16⋊3C8φ: C8.C4/C2×C8 → C2 ⊆ Aut C4128C4.3(C8.C4)128,103
C4.4(C8.C4) = C16⋊4C8φ: C8.C4/C2×C8 → C2 ⊆ Aut C4128C4.4(C8.C4)128,104
C4.5(C8.C4) = C8⋊8M4(2)φ: C8.C4/C2×C8 → C2 ⊆ Aut C464C4.5(C8.C4)128,298
C4.6(C8.C4) = C8⋊7M4(2)φ: C8.C4/C2×C8 → C2 ⊆ Aut C464C4.6(C8.C4)128,299
C4.7(C8.C4) = C42.322D4φ: C8.C4/C2×C8 → C2 ⊆ Aut C464C4.7(C8.C4)128,569
C4.8(C8.C4) = C42.388D4φ: C8.C4/M4(2) → C2 ⊆ Aut C464C4.8(C8.C4)128,31
C4.9(C8.C4) = C42.389D4φ: C8.C4/M4(2) → C2 ⊆ Aut C464C4.9(C8.C4)128,33
C4.10(C8.C4) = C42.21Q8φ: C8.C4/M4(2) → C2 ⊆ Aut C464C4.10(C8.C4)128,306
C4.11(C8.C4) = M4(2)⋊C8central extension (φ=1)64C4.11(C8.C4)128,10
C4.12(C8.C4) = C8⋊2C16central extension (φ=1)128C4.12(C8.C4)128,99
C4.13(C8.C4) = C8.36D8central extension (φ=1)128C4.13(C8.C4)128,102
C4.14(C8.C4) = C42.42Q8central extension (φ=1)64C4.14(C8.C4)128,296

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