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Extensions 1→N→G→Q→1 with N=C2×C88 and Q=C2

Direct product G=N×Q with N=C2×C88 and Q=C2
dρLabelID
C22×C88352C2^2xC88352,164

Semidirect products G=N:Q with N=C2×C88 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C88)⋊1C2 = D22⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):1C2352,26
(C2×C88)⋊2C2 = C2.D88φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):2C2352,27
(C2×C88)⋊3C2 = C11×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):3C2352,47
(C2×C88)⋊4C2 = C11×D4⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):4C2352,51
(C2×C88)⋊5C2 = C2×D88φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):5C2352,98
(C2×C88)⋊6C2 = D88⋊7C2φ: C2/C1 → C2 ⊆ Aut C2×C881762(C2xC88):6C2352,99
(C2×C88)⋊7C2 = C2×C8⋊D11φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):7C2352,97
(C2×C88)⋊8C2 = C2×C8×D11φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):8C2352,94
(C2×C88)⋊9C2 = C2×C88⋊C2φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):9C2352,95
(C2×C88)⋊10C2 = D44.2C4φ: C2/C1 → C2 ⊆ Aut C2×C881762(C2xC88):10C2352,96
(C2×C88)⋊11C2 = D8×C22φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):11C2352,167
(C2×C88)⋊12C2 = C11×C4○D8φ: C2/C1 → C2 ⊆ Aut C2×C881762(C2xC88):12C2352,170
(C2×C88)⋊13C2 = SD16×C22φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):13C2352,168
(C2×C88)⋊14C2 = M4(2)×C22φ: C2/C1 → C2 ⊆ Aut C2×C88176(C2xC88):14C2352,165
(C2×C88)⋊15C2 = C11×C8○D4φ: C2/C1 → C2 ⊆ Aut C2×C881762(C2xC88):15C2352,166

Non-split extensions G=N.Q with N=C2×C88 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C88).1C2 = Dic11⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).1C2352,20
(C2×C88).2C2 = C44.44D4φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).2C2352,22
(C2×C88).3C2 = C11×Q8⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).3C2352,52
(C2×C88).4C2 = C11×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).4C2352,54
(C2×C88).5C2 = C44.5Q8φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).5C2352,24
(C2×C88).6C2 = C2×Dic44φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).6C2352,100
(C2×C88).7C2 = C88.C4φ: C2/C1 → C2 ⊆ Aut C2×C881762(C2xC88).7C2352,25
(C2×C88).8C2 = C44.4Q8φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).8C2352,23
(C2×C88).9C2 = C2×C11⋊C16φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).9C2352,17
(C2×C88).10C2 = C44.C8φ: C2/C1 → C2 ⊆ Aut C2×C881762(C2xC88).10C2352,18
(C2×C88).11C2 = C8×Dic11φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).11C2352,19
(C2×C88).12C2 = C88⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).12C2352,21
(C2×C88).13C2 = C11×C2.D8φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).13C2352,56
(C2×C88).14C2 = Q16×C22φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).14C2352,169
(C2×C88).15C2 = C11×C8.C4φ: C2/C1 → C2 ⊆ Aut C2×C881762(C2xC88).15C2352,57
(C2×C88).16C2 = C11×C4.Q8φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).16C2352,55
(C2×C88).17C2 = C11×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C88352(C2xC88).17C2352,46
(C2×C88).18C2 = C11×M5(2)φ: C2/C1 → C2 ⊆ Aut C2×C881762(C2xC88).18C2352,59

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