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Extensions 1→N→G→Q→1 with N=C2xM4(2) and Q=C2

Direct product G=NxQ with N=C2xM4(2) and Q=C2
dρLabelID
C22xM4(2)32C2^2xM4(2)64,247

Semidirect products G=N:Q with N=C2xM4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xM4(2)):1C2 = C8:D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)):1C264,149
(C2xM4(2)):2C2 = C8:2D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)):2C264,150
(C2xM4(2)):3C2 = C2xC8:C22φ: C2/C1 → C2 ⊆ Out C2xM4(2)16(C2xM4(2)):3C264,254
(C2xM4(2)):4C2 = C2xC8.C22φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)):4C264,255
(C2xM4(2)):5C2 = D8:C22φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)):5C264,256
(C2xM4(2)):6C2 = C24.4C4φ: C2/C1 → C2 ⊆ Out C2xM4(2)16(C2xM4(2)):6C264,88
(C2xM4(2)):7C2 = (C22xC8):C2φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)):7C264,89
(C2xM4(2)):8C2 = C2xC4.D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)16(C2xM4(2)):8C264,92
(C2xM4(2)):9C2 = M4(2).8C22φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)):9C264,94
(C2xM4(2)):10C2 = C23.36D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)):10C264,98
(C2xM4(2)):11C2 = C23.37D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)16(C2xM4(2)):11C264,99
(C2xM4(2)):12C2 = C2xC4wrC2φ: C2/C1 → C2 ⊆ Out C2xM4(2)16(C2xM4(2)):12C264,101
(C2xM4(2)):13C2 = C42:C22φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)):13C264,102
(C2xM4(2)):14C2 = C8:9D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)):14C264,116
(C2xM4(2)):15C2 = C8:6D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)):15C264,117
(C2xM4(2)):16C2 = Q8oM4(2)φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)):16C264,249
(C2xM4(2)):17C2 = C2xC8oD4φ: trivial image32(C2xM4(2)):17C264,248

Non-split extensions G=N.Q with N=C2xM4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xM4(2)).1C2 = M4(2):C4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).1C264,109
(C2xM4(2)).2C2 = M4(2).C4φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)).2C264,111
(C2xM4(2)).3C2 = C8.D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).3C264,151
(C2xM4(2)).4C2 = C4.9C42φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)).4C264,18
(C2xM4(2)).5C2 = C4.10C42φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)).5C264,19
(C2xM4(2)).6C2 = C42:6C4φ: C2/C1 → C2 ⊆ Out C2xM4(2)16(C2xM4(2)).6C264,20
(C2xM4(2)).7C2 = C4.C42φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).7C264,22
(C2xM4(2)).8C2 = C22.C42φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).8C264,24
(C2xM4(2)).9C2 = M4(2):4C4φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)).9C264,25
(C2xM4(2)).10C2 = C23.C8φ: C2/C1 → C2 ⊆ Out C2xM4(2)164(C2xM4(2)).10C264,30
(C2xM4(2)).11C2 = C2xC4.10D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).11C264,93
(C2xM4(2)).12C2 = C23.38D4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).12C264,100
(C2xM4(2)).13C2 = C4:M4(2)φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).13C264,104
(C2xM4(2)).14C2 = C42.6C22φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).14C264,105
(C2xM4(2)).15C2 = C2xC8.C4φ: C2/C1 → C2 ⊆ Out C2xM4(2)32(C2xM4(2)).15C264,110
(C2xM4(2)).16C2 = C4xM4(2)φ: trivial image32(C2xM4(2)).16C264,85
(C2xM4(2)).17C2 = C8o2M4(2)φ: trivial image32(C2xM4(2)).17C264,86

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