# Extensions 1→N→G→Q→1 with N=C42 and Q=C4

Direct product G=N×Q with N=C42 and Q=C4
dρLabelID
C4364C4^364,55

Semidirect products G=N:Q with N=C42 and Q=C4
extensionφ:Q→Aut NdρLabelID
C421C4 = C4.9C42φ: C4/C1C4 ⊆ Aut C42164C4^2:1C464,18
C422C4 = C42⋊C4φ: C4/C1C4 ⊆ Aut C4284+C4^2:2C464,34
C423C4 = C423C4φ: C4/C1C4 ⊆ Aut C42164C4^2:3C464,35
C424C4 = C424C4φ: C4/C2C2 ⊆ Aut C4264C4^2:4C464,57
C425C4 = C425C4φ: C4/C2C2 ⊆ Aut C4264C4^2:5C464,64
C426C4 = C426C4φ: C4/C2C2 ⊆ Aut C4216C4^2:6C464,20
C427C4 = C4×C4⋊C4φ: C4/C2C2 ⊆ Aut C4264C4^2:7C464,59
C428C4 = C428C4φ: C4/C2C2 ⊆ Aut C4264C4^2:8C464,63
C429C4 = C429C4φ: C4/C2C2 ⊆ Aut C4264C4^2:9C464,65

Non-split extensions G=N.Q with N=C42 and Q=C4
extensionφ:Q→Aut NdρLabelID
C42.1C4 = C16⋊C4φ: C4/C1C4 ⊆ Aut C42164C4^2.1C464,28
C42.2C4 = C42.C4φ: C4/C1C4 ⊆ Aut C42164C4^2.2C464,36
C42.3C4 = C42.3C4φ: C4/C1C4 ⊆ Aut C42164-C4^2.3C464,37
C42.4C4 = C165C4φ: C4/C2C2 ⊆ Aut C4264C4^2.4C464,27
C42.5C4 = C2×C8⋊C4φ: C4/C2C2 ⊆ Aut C4264C4^2.5C464,84
C42.6C4 = C42.6C4φ: C4/C2C2 ⊆ Aut C4232C4^2.6C464,113
C42.7C4 = C4⋊C16φ: C4/C2C2 ⊆ Aut C4264C4^2.7C464,44
C42.8C4 = C8.C8φ: C4/C2C2 ⊆ Aut C42162C4^2.8C464,45
C42.9C4 = C4×M4(2)φ: C4/C2C2 ⊆ Aut C4232C4^2.9C464,85
C42.10C4 = C2×C4⋊C8φ: C4/C2C2 ⊆ Aut C4264C4^2.10C464,103
C42.11C4 = C4⋊M4(2)φ: C4/C2C2 ⊆ Aut C4232C4^2.11C464,104
C42.12C4 = C42.12C4φ: C4/C2C2 ⊆ Aut C4232C4^2.12C464,112

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