Extensions 1→N→G→Q→1 with N=C2×C80 and Q=C2

Direct product G=N×Q with N=C2×C80 and Q=C2
dρLabelID
C22×C80320C2^2xC80320,1003

Semidirect products G=N:Q with N=C2×C80 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C80)⋊1C2 = D101C16φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):1C2320,65
(C2×C80)⋊2C2 = D20.3C8φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80):2C2320,66
(C2×C80)⋊3C2 = D407C4φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):3C2320,67
(C2×C80)⋊4C2 = D40.3C4φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80):4C2320,68
(C2×C80)⋊5C2 = C5×C22⋊C16φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):5C2320,153
(C2×C80)⋊6C2 = C5×D4.C8φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80):6C2320,155
(C2×C80)⋊7C2 = C5×C2.D16φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):7C2320,162
(C2×C80)⋊8C2 = C5×D8.C4φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80):8C2320,164
(C2×C80)⋊9C2 = C2×D80φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):9C2320,529
(C2×C80)⋊10C2 = D807C2φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80):10C2320,531
(C2×C80)⋊11C2 = C2×C16⋊D5φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):11C2320,530
(C2×C80)⋊12C2 = C10×D16φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):12C2320,1006
(C2×C80)⋊13C2 = C5×C4○D16φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80):13C2320,1009
(C2×C80)⋊14C2 = D5×C2×C16φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):14C2320,526
(C2×C80)⋊15C2 = C2×C80⋊C2φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):15C2320,527
(C2×C80)⋊16C2 = D20.6C8φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80):16C2320,528
(C2×C80)⋊17C2 = C10×SD32φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):17C2320,1007
(C2×C80)⋊18C2 = C10×M5(2)φ: C2/C1C2 ⊆ Aut C2×C80160(C2xC80):18C2320,1004
(C2×C80)⋊19C2 = C5×D4○C16φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80):19C2320,1005

Non-split extensions G=N.Q with N=C2×C80 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C80).1C2 = C40.88D4φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).1C2320,59
(C2×C80).2C2 = C40.78D4φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).2C2320,61
(C2×C80).3C2 = C5×C2.Q32φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).3C2320,163
(C2×C80).4C2 = C5×C4⋊C16φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).4C2320,168
(C2×C80).5C2 = C8013C4φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).5C2320,62
(C2×C80).6C2 = C2×Dic40φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).6C2320,532
(C2×C80).7C2 = C80.6C4φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80).7C2320,64
(C2×C80).8C2 = C8014C4φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).8C2320,63
(C2×C80).9C2 = C5×C163C4φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).9C2320,171
(C2×C80).10C2 = C10×Q32φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).10C2320,1008
(C2×C80).11C2 = C5×C8.4Q8φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80).11C2320,173
(C2×C80).12C2 = C2×C52C32φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).12C2320,56
(C2×C80).13C2 = C80.9C4φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80).13C2320,57
(C2×C80).14C2 = C16×Dic5φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).14C2320,58
(C2×C80).15C2 = C8017C4φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).15C2320,60
(C2×C80).16C2 = C5×C164C4φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).16C2320,172
(C2×C80).17C2 = C5×C165C4φ: C2/C1C2 ⊆ Aut C2×C80320(C2xC80).17C2320,151
(C2×C80).18C2 = C5×M6(2)φ: C2/C1C2 ⊆ Aut C2×C801602(C2xC80).18C2320,175

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