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Extensions 1→N→G→Q→1 with N=C2×C44 and Q=C4

Direct product G=N×Q with N=C2×C44 and Q=C4
dρLabelID
C2×C4×C44352C2xC4xC44352,149

Semidirect products G=N:Q with N=C2×C44 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C44)⋊1C4 = C23⋊Dic11φ: C4/C1 → C4 ⊆ Aut C2×C44884(C2xC44):1C4352,40
(C2×C44)⋊2C4 = C11×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C44884(C2xC44):2C4352,48
(C2×C44)⋊3C4 = C22.C42φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44):3C4352,37
(C2×C44)⋊4C4 = C11×C2.C42φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44):4C4352,44
(C2×C44)⋊5C4 = C2×C44⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44):5C4352,120
(C2×C44)⋊6C4 = C23.21D22φ: C4/C2 → C2 ⊆ Aut C2×C44176(C2xC44):6C4352,121
(C2×C44)⋊7C4 = C2×C4×Dic11φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44):7C4352,117
(C2×C44)⋊8C4 = C4⋊C4×C22φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44):8C4352,151
(C2×C44)⋊9C4 = C11×C42⋊C2φ: C4/C2 → C2 ⊆ Aut C2×C44176(C2xC44):9C4352,152

Non-split extensions G=N.Q with N=C2×C44 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C44).1C4 = C44.10D4φ: C4/C1 → C4 ⊆ Aut C2×C441764(C2xC44).1C4352,42
(C2×C44).2C4 = C11×C4.10D4φ: C4/C1 → C4 ⊆ Aut C2×C441764(C2xC44).2C4352,50
(C2×C44).3C4 = C42.D11φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44).3C4352,9
(C2×C44).4C4 = C44.55D4φ: C4/C2 → C2 ⊆ Aut C2×C44176(C2xC44).4C4352,36
(C2×C44).5C4 = C11×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44).5C4352,46
(C2×C44).6C4 = C11×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C44176(C2xC44).6C4352,47
(C2×C44).7C4 = C44⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44).7C4352,10
(C2×C44).8C4 = C44.C8φ: C4/C2 → C2 ⊆ Aut C2×C441762(C2xC44).8C4352,18
(C2×C44).9C4 = C2×C44.C4φ: C4/C2 → C2 ⊆ Aut C2×C44176(C2xC44).9C4352,116
(C2×C44).10C4 = C4×C11⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44).10C4352,8
(C2×C44).11C4 = C2×C11⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44).11C4352,17
(C2×C44).12C4 = C22×C11⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44).12C4352,115
(C2×C44).13C4 = C11×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C44352(C2xC44).13C4352,54
(C2×C44).14C4 = C11×M5(2)φ: C4/C2 → C2 ⊆ Aut C2×C441762(C2xC44).14C4352,59
(C2×C44).15C4 = M4(2)×C22φ: C4/C2 → C2 ⊆ Aut C2×C44176(C2xC44).15C4352,165

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