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Extensions 1→N→G→Q→1 with N=C22×C44 and Q=C2

Direct product G=N×Q with N=C22×C44 and Q=C2
dρLabelID
C23×C44352C2^3xC44352,188

Semidirect products G=N:Q with N=C22×C44 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C44)⋊1C2 = C2×D22⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):1C2352,122
(C22×C44)⋊2C2 = C23.23D22φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):2C2352,124
(C22×C44)⋊3C2 = C22⋊C4×C22φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):3C2352,150
(C22×C44)⋊4C2 = D4×C44φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):4C2352,153
(C22×C44)⋊5C2 = C11×C22.D4φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):5C2352,158
(C22×C44)⋊6C2 = C44⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):6C2352,125
(C22×C44)⋊7C2 = C22×D44φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):7C2352,175
(C22×C44)⋊8C2 = C2×D44⋊5C2φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):8C2352,176
(C22×C44)⋊9C2 = C4×C11⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):9C2352,123
(C22×C44)⋊10C2 = C22×C4×D11φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):10C2352,174
(C22×C44)⋊11C2 = C11×C4⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):11C2352,156
(C22×C44)⋊12C2 = D4×C2×C22φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):12C2352,189
(C22×C44)⋊13C2 = C4○D4×C22φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44):13C2352,191

Non-split extensions G=N.Q with N=C22×C44 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C44).1C2 = C22.C42φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).1C2352,37
(C22×C44).2C2 = C11×C2.C42φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).2C2352,44
(C22×C44).3C2 = C11×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44).3C2352,47
(C22×C44).4C2 = C2×Dic11⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).4C2352,118
(C22×C44).5C2 = C4⋊C4×C22φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).5C2352,151
(C22×C44).6C2 = C44.48D4φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44).6C2352,119
(C22×C44).7C2 = C2×C44⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).7C2352,120
(C22×C44).8C2 = C22×Dic22φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).8C2352,173
(C22×C44).9C2 = C2×C44.C4φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44).9C2352,116
(C22×C44).10C2 = C23.21D22φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44).10C2352,121
(C22×C44).11C2 = C44.55D4φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44).11C2352,36
(C22×C44).12C2 = C22×C11⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).12C2352,115
(C22×C44).13C2 = C2×C4×Dic11φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).13C2352,117
(C22×C44).14C2 = C11×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44).14C2352,152
(C22×C44).15C2 = C11×C22⋊Q8φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44).15C2352,157
(C22×C44).16C2 = M4(2)×C22φ: C2/C1 → C2 ⊆ Aut C22×C44176(C2^2xC44).16C2352,165
(C22×C44).17C2 = Q8×C2×C22φ: C2/C1 → C2 ⊆ Aut C22×C44352(C2^2xC44).17C2352,190

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