# Extensions 1→N→G→Q→1 with N=C3×M5(2) and Q=C2

Direct product G=N×Q with N=C3×M5(2) and Q=C2
dρLabelID
C6×M5(2)96C6xM5(2)192,936

Semidirect products G=N:Q with N=C3×M5(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×M5(2))⋊1C2 = C16⋊D6φ: C2/C1C2 ⊆ Out C3×M5(2)484+(C3xM5(2)):1C2192,467
(C3×M5(2))⋊2C2 = C16.D6φ: C2/C1C2 ⊆ Out C3×M5(2)964-(C3xM5(2)):2C2192,468
(C3×M5(2))⋊3C2 = C3×C16⋊C22φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)):3C2192,942
(C3×M5(2))⋊4C2 = C3×Q32⋊C2φ: C2/C1C2 ⊆ Out C3×M5(2)964(C3xM5(2)):4C2192,943
(C3×M5(2))⋊5C2 = S3×M5(2)φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)):5C2192,465
(C3×M5(2))⋊6C2 = C16.12D6φ: C2/C1C2 ⊆ Out C3×M5(2)964(C3xM5(2)):6C2192,466
(C3×M5(2))⋊7C2 = C8.25D12φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)):7C2192,73
(C3×M5(2))⋊8C2 = Dic6.C8φ: C2/C1C2 ⊆ Out C3×M5(2)964(C3xM5(2)):8C2192,74
(C3×M5(2))⋊9C2 = M5(2)⋊S3φ: C2/C1C2 ⊆ Out C3×M5(2)484+(C3xM5(2)):9C2192,75
(C3×M5(2))⋊10C2 = D242C4φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)):10C2192,77
(C3×M5(2))⋊11C2 = C3×C23.C8φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)):11C2192,155
(C3×M5(2))⋊12C2 = C3×D4.C8φ: C2/C1C2 ⊆ Out C3×M5(2)962(C3xM5(2)):12C2192,156
(C3×M5(2))⋊13C2 = C3×D82C4φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)):13C2192,166
(C3×M5(2))⋊14C2 = C3×M5(2)⋊C2φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)):14C2192,167
(C3×M5(2))⋊15C2 = C3×D4○C16φ: trivial image962(C3xM5(2)):15C2192,937

Non-split extensions G=N.Q with N=C3×M5(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×M5(2)).1C2 = C24.Q8φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)).1C2192,72
(C3×M5(2)).2C2 = C48⋊C4φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)).2C2192,71
(C3×M5(2)).3C2 = C3×C8.Q8φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)).3C2192,171
(C3×M5(2)).4C2 = C24.97D4φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)).4C2192,70
(C3×M5(2)).5C2 = C12.4D8φ: C2/C1C2 ⊆ Out C3×M5(2)964-(C3xM5(2)).5C2192,76
(C3×M5(2)).6C2 = C3×C16⋊C4φ: C2/C1C2 ⊆ Out C3×M5(2)484(C3xM5(2)).6C2192,153
(C3×M5(2)).7C2 = C3×C8.17D4φ: C2/C1C2 ⊆ Out C3×M5(2)964(C3xM5(2)).7C2192,168
(C3×M5(2)).8C2 = C3×C8.C8φ: C2/C1C2 ⊆ Out C3×M5(2)482(C3xM5(2)).8C2192,170

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