# Extensions 1→N→G→Q→1 with N=C3×M4(2) and Q=C4

Direct product G=N×Q with N=C3×M4(2) and Q=C4
dρLabelID
C12×M4(2)96C12xM4(2)192,837

Semidirect products G=N:Q with N=C3×M4(2) and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×M4(2))⋊1C4 = C23.52D12φ: C4/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):1C4192,680
(C3×M4(2))⋊2C4 = C3×M4(2)⋊C4φ: C4/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):2C4192,861
(C3×M4(2))⋊3C4 = Dic3×M4(2)φ: C4/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):3C4192,676
(C3×M4(2))⋊4C4 = C12.7C42φ: C4/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):4C4192,681
(C3×M4(2))⋊5C4 = M4(2)⋊Dic3φ: C4/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):5C4192,113
(C3×M4(2))⋊6C4 = C12.3C42φ: C4/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):6C4192,114
(C3×M4(2))⋊7C4 = M4(2)⋊4Dic3φ: C4/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):7C4192,118
(C3×M4(2))⋊8C4 = C3×C426C4φ: C4/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):8C4192,145
(C3×M4(2))⋊9C4 = C3×C22.C42φ: C4/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):9C4192,149
(C3×M4(2))⋊10C4 = C3×M4(2)⋊4C4φ: C4/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):10C4192,150
(C3×M4(2))⋊11C4 = C3×C82M4(2)φ: trivial image96(C3xM4(2)):11C4192,838

Non-split extensions G=N.Q with N=C3×M4(2) and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×M4(2)).1C4 = C23.9Dic6φ: C4/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).1C4192,684
(C3×M4(2)).2C4 = C3×M4(2).C4φ: C4/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).2C4192,863
(C3×M4(2)).3C4 = C24.78C23φ: C4/C2C2 ⊆ Out C3×M4(2)964(C3xM4(2)).3C4192,699
(C3×M4(2)).4C4 = C12.4C42φ: C4/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)).4C4192,117
(C3×M4(2)).5C4 = C24.99D4φ: C4/C2C2 ⊆ Out C3×M4(2)964(C3xM4(2)).5C4192,120
(C3×M4(2)).6C4 = C3×C4.C42φ: C4/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)).6C4192,147
(C3×M4(2)).7C4 = C3×D4.C8φ: C4/C2C2 ⊆ Out C3×M4(2)962(C3xM4(2)).7C4192,156
(C3×M4(2)).8C4 = C3×D4○C16φ: trivial image962(C3xM4(2)).8C4192,937

׿
×
𝔽