# Extensions 1→N→G→Q→1 with N=C2×M4(2) and Q=C2

Direct product G=N×Q with N=C2×M4(2) and Q=C2
dρLabelID
C22×M4(2)32C2^2xM4(2)64,247

Semidirect products G=N:Q with N=C2×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×M4(2))⋊1C2 = C8⋊D4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)):1C264,149
(C2×M4(2))⋊2C2 = C82D4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)):2C264,150
(C2×M4(2))⋊3C2 = C2×C8⋊C22φ: C2/C1C2 ⊆ Out C2×M4(2)16(C2xM4(2)):3C264,254
(C2×M4(2))⋊4C2 = C2×C8.C22φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)):4C264,255
(C2×M4(2))⋊5C2 = D8⋊C22φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)):5C264,256
(C2×M4(2))⋊6C2 = C24.4C4φ: C2/C1C2 ⊆ Out C2×M4(2)16(C2xM4(2)):6C264,88
(C2×M4(2))⋊7C2 = (C22×C8)⋊C2φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)):7C264,89
(C2×M4(2))⋊8C2 = C2×C4.D4φ: C2/C1C2 ⊆ Out C2×M4(2)16(C2xM4(2)):8C264,92
(C2×M4(2))⋊9C2 = M4(2).8C22φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)):9C264,94
(C2×M4(2))⋊10C2 = C23.36D4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)):10C264,98
(C2×M4(2))⋊11C2 = C23.37D4φ: C2/C1C2 ⊆ Out C2×M4(2)16(C2xM4(2)):11C264,99
(C2×M4(2))⋊12C2 = C2×C4≀C2φ: C2/C1C2 ⊆ Out C2×M4(2)16(C2xM4(2)):12C264,101
(C2×M4(2))⋊13C2 = C42⋊C22φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)):13C264,102
(C2×M4(2))⋊14C2 = C89D4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)):14C264,116
(C2×M4(2))⋊15C2 = C86D4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)):15C264,117
(C2×M4(2))⋊16C2 = Q8○M4(2)φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)):16C264,249
(C2×M4(2))⋊17C2 = C2×C8○D4φ: trivial image32(C2xM4(2)):17C264,248

Non-split extensions G=N.Q with N=C2×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×M4(2)).1C2 = M4(2)⋊C4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).1C264,109
(C2×M4(2)).2C2 = M4(2).C4φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)).2C264,111
(C2×M4(2)).3C2 = C8.D4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).3C264,151
(C2×M4(2)).4C2 = C4.9C42φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)).4C264,18
(C2×M4(2)).5C2 = C4.10C42φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)).5C264,19
(C2×M4(2)).6C2 = C426C4φ: C2/C1C2 ⊆ Out C2×M4(2)16(C2xM4(2)).6C264,20
(C2×M4(2)).7C2 = C4.C42φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).7C264,22
(C2×M4(2)).8C2 = C22.C42φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).8C264,24
(C2×M4(2)).9C2 = M4(2)⋊4C4φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)).9C264,25
(C2×M4(2)).10C2 = C23.C8φ: C2/C1C2 ⊆ Out C2×M4(2)164(C2xM4(2)).10C264,30
(C2×M4(2)).11C2 = C2×C4.10D4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).11C264,93
(C2×M4(2)).12C2 = C23.38D4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).12C264,100
(C2×M4(2)).13C2 = C4⋊M4(2)φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).13C264,104
(C2×M4(2)).14C2 = C42.6C22φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).14C264,105
(C2×M4(2)).15C2 = C2×C8.C4φ: C2/C1C2 ⊆ Out C2×M4(2)32(C2xM4(2)).15C264,110
(C2×M4(2)).16C2 = C4×M4(2)φ: trivial image32(C2xM4(2)).16C264,85
(C2×M4(2)).17C2 = C82M4(2)φ: trivial image32(C2xM4(2)).17C264,86

׿
×
𝔽