# Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C8

Direct product G=N×Q with N=C22⋊C4 and Q=C8
dρLabelID
C8×C22⋊C464C8xC2^2:C4128,483

Semidirect products G=N:Q with N=C22⋊C4 and Q=C8
extensionφ:Q→Out NdρLabelID
C22⋊C4⋊C8 = C23.2M4(2)φ: C8/C2C4 ⊆ Out C22⋊C432C2^2:C4:C8128,58
C22⋊C42C8 = C23.21C42φ: C8/C4C2 ⊆ Out C22⋊C432C2^2:C4:2C8128,14
C22⋊C43C8 = C23.21M4(2)φ: C8/C4C2 ⊆ Out C22⋊C464C2^2:C4:3C8128,582
C22⋊C44C8 = C22⋊C44C8φ: C8/C4C2 ⊆ Out C22⋊C464C2^2:C4:4C8128,655

Non-split extensions G=N.Q with N=C22⋊C4 and Q=C8
extensionφ:Q→Out NdρLabelID
C22⋊C4.C8 = C22⋊C4.C8φ: C8/C2C4 ⊆ Out C22⋊C4324C2^2:C4.C8128,60
C22⋊C4.2C8 = M4(2).C8φ: C8/C4C2 ⊆ Out C22⋊C4324C2^2:C4.2C8128,110
C22⋊C4.3C8 = C4⋊C4.7C8φ: C8/C4C2 ⊆ Out C22⋊C464C2^2:C4.3C8128,883
C22⋊C4.4C8 = C8.12M4(2)φ: C8/C4C2 ⊆ Out C22⋊C464C2^2:C4.4C8128,896
C22⋊C4.5C8 = C169D4φ: C8/C4C2 ⊆ Out C22⋊C464C2^2:C4.5C8128,900
C22⋊C4.6C8 = C166D4φ: C8/C4C2 ⊆ Out C22⋊C464C2^2:C4.6C8128,901
C22⋊C4.7C8 = C162M5(2)φ: trivial image64C2^2:C4.7C8128,840
C22⋊C4.8C8 = D4×C16φ: trivial image64C2^2:C4.8C8128,899

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