Extensions 1→N→G→Q→1 with N=C4×C8 and Q=C2

Direct product G=N×Q with N=C4×C8 and Q=C2
dρLabelID
C2×C4×C864C2xC4xC864,83

Semidirect products G=N:Q with N=C4×C8 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4×C8)⋊1C2 = D4⋊C8φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):1C264,6
(C4×C8)⋊2C2 = C42.12C4φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):2C264,112
(C4×C8)⋊3C2 = C42.7C22φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):3C264,114
(C4×C8)⋊4C2 = C8×D4φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):4C264,115
(C4×C8)⋊5C2 = C4.4D8φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):5C264,167
(C4×C8)⋊6C2 = C42.78C22φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):6C264,169
(C4×C8)⋊7C2 = C4×D8φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):7C264,118
(C4×C8)⋊8C2 = C84D4φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):8C264,174
(C4×C8)⋊9C2 = C8.12D4φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):9C264,176
(C4×C8)⋊10C2 = C8○D8φ: C2/C1C2 ⊆ Aut C4×C8162(C4xC8):10C264,124
(C4×C8)⋊11C2 = C4×SD16φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):11C264,119
(C4×C8)⋊12C2 = C85D4φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):12C264,173
(C4×C8)⋊13C2 = C4×M4(2)φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):13C264,85
(C4×C8)⋊14C2 = C82M4(2)φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):14C264,86
(C4×C8)⋊15C2 = C86D4φ: C2/C1C2 ⊆ Aut C4×C832(C4xC8):15C264,117

Non-split extensions G=N.Q with N=C4×C8 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4×C8).1C2 = Q8⋊C8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).1C264,7
(C4×C8).2C2 = C4⋊C16φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).2C264,44
(C4×C8).3C2 = C8×Q8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).3C264,126
(C4×C8).4C2 = C4.SD16φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).4C264,168
(C4×C8).5C2 = C81C8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).5C264,16
(C4×C8).6C2 = C4×Q16φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).6C264,120
(C4×C8).7C2 = C4⋊Q16φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).7C264,175
(C4×C8).8C2 = C82Q8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).8C264,181
(C4×C8).9C2 = C8.5Q8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).9C264,180
(C4×C8).10C2 = C8.C8φ: C2/C1C2 ⊆ Aut C4×C8162(C4xC8).10C264,45
(C4×C8).11C2 = C82C8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).11C264,15
(C4×C8).12C2 = C83Q8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).12C264,179
(C4×C8).13C2 = C8⋊C8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).13C264,3
(C4×C8).14C2 = C165C4φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).14C264,27
(C4×C8).15C2 = C84Q8φ: C2/C1C2 ⊆ Aut C4×C864(C4xC8).15C264,127

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