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Extensions 1→N→G→Q→1 with N=C22×C22 and Q=C4

Direct product G=N×Q with N=C22×C22 and Q=C4
dρLabelID
C23×C44352C2^3xC44352,188

Semidirect products G=N:Q with N=C22×C22 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C22)⋊1C4 = C11×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C22×C22884(C2^2xC22):1C4352,48
(C22×C22)⋊2C4 = C23⋊Dic11φ: C4/C1 → C4 ⊆ Aut C22×C22884(C2^2xC22):2C4352,40
(C22×C22)⋊3C4 = C22⋊C4×C22φ: C4/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22):3C4352,150
(C22×C22)⋊4C4 = C2×C23.D11φ: C4/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22):4C4352,147
(C22×C22)⋊5C4 = C23×Dic11φ: C4/C2 → C2 ⊆ Aut C22×C22352(C2^2xC22):5C4352,186

Non-split extensions G=N.Q with N=C22×C22 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C22).1C4 = C11×C4.D4φ: C4/C1 → C4 ⊆ Aut C22×C22884(C2^2xC22).1C4352,49
(C22×C22).2C4 = C44.D4φ: C4/C1 → C4 ⊆ Aut C22×C22884(C2^2xC22).2C4352,39
(C22×C22).3C4 = C11×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).3C4352,47
(C22×C22).4C4 = M4(2)×C22φ: C4/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).4C4352,165
(C22×C22).5C4 = C44.55D4φ: C4/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).5C4352,36
(C22×C22).6C4 = C22×C11⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C22352(C2^2xC22).6C4352,115
(C22×C22).7C4 = C2×C44.C4φ: C4/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).7C4352,116

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