Extensions 1→N→G→Q→1 with N=C2xC88 and Q=C2

Direct product G=NxQ with N=C2xC88 and Q=C2
dρLabelID
C22xC88352C2^2xC88352,164

Semidirect products G=N:Q with N=C2xC88 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC88):1C2 = D22:C8φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):1C2352,26
(C2xC88):2C2 = C2.D88φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):2C2352,27
(C2xC88):3C2 = C11xC22:C8φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):3C2352,47
(C2xC88):4C2 = C11xD4:C4φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):4C2352,51
(C2xC88):5C2 = C2xD88φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):5C2352,98
(C2xC88):6C2 = D88:7C2φ: C2/C1C2 ⊆ Aut C2xC881762(C2xC88):6C2352,99
(C2xC88):7C2 = C2xC8:D11φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):7C2352,97
(C2xC88):8C2 = C2xC8xD11φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):8C2352,94
(C2xC88):9C2 = C2xC88:C2φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):9C2352,95
(C2xC88):10C2 = D44.2C4φ: C2/C1C2 ⊆ Aut C2xC881762(C2xC88):10C2352,96
(C2xC88):11C2 = D8xC22φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):11C2352,167
(C2xC88):12C2 = C11xC4oD8φ: C2/C1C2 ⊆ Aut C2xC881762(C2xC88):12C2352,170
(C2xC88):13C2 = SD16xC22φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):13C2352,168
(C2xC88):14C2 = M4(2)xC22φ: C2/C1C2 ⊆ Aut C2xC88176(C2xC88):14C2352,165
(C2xC88):15C2 = C11xC8oD4φ: C2/C1C2 ⊆ Aut C2xC881762(C2xC88):15C2352,166

Non-split extensions G=N.Q with N=C2xC88 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC88).1C2 = Dic11:C8φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).1C2352,20
(C2xC88).2C2 = C44.44D4φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).2C2352,22
(C2xC88).3C2 = C11xQ8:C4φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).3C2352,52
(C2xC88).4C2 = C11xC4:C8φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).4C2352,54
(C2xC88).5C2 = C44.5Q8φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).5C2352,24
(C2xC88).6C2 = C2xDic44φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).6C2352,100
(C2xC88).7C2 = C88.C4φ: C2/C1C2 ⊆ Aut C2xC881762(C2xC88).7C2352,25
(C2xC88).8C2 = C44.4Q8φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).8C2352,23
(C2xC88).9C2 = C2xC11:C16φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).9C2352,17
(C2xC88).10C2 = C44.C8φ: C2/C1C2 ⊆ Aut C2xC881762(C2xC88).10C2352,18
(C2xC88).11C2 = C8xDic11φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).11C2352,19
(C2xC88).12C2 = C88:C4φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).12C2352,21
(C2xC88).13C2 = C11xC2.D8φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).13C2352,56
(C2xC88).14C2 = Q16xC22φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).14C2352,169
(C2xC88).15C2 = C11xC8.C4φ: C2/C1C2 ⊆ Aut C2xC881762(C2xC88).15C2352,57
(C2xC88).16C2 = C11xC4.Q8φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).16C2352,55
(C2xC88).17C2 = C11xC8:C4φ: C2/C1C2 ⊆ Aut C2xC88352(C2xC88).17C2352,46
(C2xC88).18C2 = C11xM5(2)φ: C2/C1C2 ⊆ Aut C2xC881762(C2xC88).18C2352,59

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