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Extensions 1→N→G→Q→1 with N=C2×C3⋊C16 and Q=C2

Direct product G=N×Q with N=C2×C3⋊C16 and Q=C2
dρLabelID
C22×C3⋊C16192C2^2xC3:C16192,655

Semidirect products G=N:Q with N=C2×C3⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C16)⋊1C2 = Dic12.C4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16964(C2xC3:C16):1C2192,56
(C2×C3⋊C16)⋊2C2 = C24.41D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16964(C2xC3:C16):2C2192,126
(C2×C3⋊C16)⋊3C2 = Q16.D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16964(C2xC3:C16):3C2192,753
(C2×C3⋊C16)⋊4C2 = C6.D16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):4C2192,50
(C2×C3⋊C16)⋊5C2 = D8⋊1Dic3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):5C2192,121
(C2×C3⋊C16)⋊6C2 = C2×C3⋊D16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):6C2192,705
(C2×C3⋊C16)⋊7C2 = C2×D8.S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):7C2192,707
(C2×C3⋊C16)⋊8C2 = C2×C8.6D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):8C2192,737
(C2×C3⋊C16)⋊9C2 = D6⋊C16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):9C2192,66
(C2×C3⋊C16)⋊10C2 = C24.98D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):10C2192,108
(C2×C3⋊C16)⋊11C2 = C2×D6.C8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):11C2192,459
(C2×C3⋊C16)⋊12C2 = C2×C12.C8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C1696(C2xC3:C16):12C2192,656
(C2×C3⋊C16)⋊13C2 = Dic6.C8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16964(C2xC3:C16):13C2192,74
(C2×C3⋊C16)⋊14C2 = C24.99D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16964(C2xC3:C16):14C2192,120
(C2×C3⋊C16)⋊15C2 = C16.12D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16964(C2xC3:C16):15C2192,466
(C2×C3⋊C16)⋊16C2 = C24.78C23φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16964(C2xC3:C16):16C2192,699
(C2×C3⋊C16)⋊17C2 = S3×C2×C16φ: trivial image96(C2xC3:C16):17C2192,458

Non-split extensions G=N.Q with N=C2×C3⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C16).1C2 = C24.7Q8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16964(C2xC3:C16).1C2192,52
(C2×C3⋊C16).2C2 = C6.6D16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).2C2192,48
(C2×C3⋊C16).3C2 = C6.SD32φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).3C2192,49
(C2×C3⋊C16).4C2 = C6.Q32φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).4C2192,51
(C2×C3⋊C16).5C2 = C6.5Q32φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).5C2192,123
(C2×C3⋊C16).6C2 = C2×C3⋊Q32φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).6C2192,739
(C2×C3⋊C16).7C2 = C24.C8φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).7C2192,20
(C2×C3⋊C16).8C2 = C12⋊C16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).8C2192,21
(C2×C3⋊C16).9C2 = Dic3⋊C16φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).9C2192,60
(C2×C3⋊C16).10C2 = C48⋊10C4φ: C2/C1 → C2 ⊆ Out C2×C3⋊C16192(C2xC3:C16).10C2192,61
(C2×C3⋊C16).11C2 = C4×C3⋊C16φ: trivial image192(C2xC3:C16).11C2192,19
(C2×C3⋊C16).12C2 = Dic3×C16φ: trivial image192(C2xC3:C16).12C2192,59

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