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Extensions 1→N→G→Q→1 with N=C3xM5(2) and Q=C2

Direct product G=NxQ with N=C3xM5(2) and Q=C2
dρLabelID
C6xM5(2)96C6xM5(2)192,936

Semidirect products G=N:Q with N=C3xM5(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C3xM5(2)):1C2 = C16:D6φ: C2/C1 → C2 ⊆ Out C3xM5(2)484+(C3xM5(2)):1C2192,467
(C3xM5(2)):2C2 = C16.D6φ: C2/C1 → C2 ⊆ Out C3xM5(2)964-(C3xM5(2)):2C2192,468
(C3xM5(2)):3C2 = C3xC16:C22φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)):3C2192,942
(C3xM5(2)):4C2 = C3xQ32:C2φ: C2/C1 → C2 ⊆ Out C3xM5(2)964(C3xM5(2)):4C2192,943
(C3xM5(2)):5C2 = S3xM5(2)φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)):5C2192,465
(C3xM5(2)):6C2 = C16.12D6φ: C2/C1 → C2 ⊆ Out C3xM5(2)964(C3xM5(2)):6C2192,466
(C3xM5(2)):7C2 = C8.25D12φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)):7C2192,73
(C3xM5(2)):8C2 = Dic6.C8φ: C2/C1 → C2 ⊆ Out C3xM5(2)964(C3xM5(2)):8C2192,74
(C3xM5(2)):9C2 = M5(2):S3φ: C2/C1 → C2 ⊆ Out C3xM5(2)484+(C3xM5(2)):9C2192,75
(C3xM5(2)):10C2 = D24:2C4φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)):10C2192,77
(C3xM5(2)):11C2 = C3xC23.C8φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)):11C2192,155
(C3xM5(2)):12C2 = C3xD4.C8φ: C2/C1 → C2 ⊆ Out C3xM5(2)962(C3xM5(2)):12C2192,156
(C3xM5(2)):13C2 = C3xD8:2C4φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)):13C2192,166
(C3xM5(2)):14C2 = C3xM5(2):C2φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)):14C2192,167
(C3xM5(2)):15C2 = C3xD4oC16φ: trivial image962(C3xM5(2)):15C2192,937

Non-split extensions G=N.Q with N=C3xM5(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C3xM5(2)).1C2 = C24.Q8φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)).1C2192,72
(C3xM5(2)).2C2 = C48:C4φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)).2C2192,71
(C3xM5(2)).3C2 = C3xC8.Q8φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)).3C2192,171
(C3xM5(2)).4C2 = C24.97D4φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)).4C2192,70
(C3xM5(2)).5C2 = C12.4D8φ: C2/C1 → C2 ⊆ Out C3xM5(2)964-(C3xM5(2)).5C2192,76
(C3xM5(2)).6C2 = C3xC16:C4φ: C2/C1 → C2 ⊆ Out C3xM5(2)484(C3xM5(2)).6C2192,153
(C3xM5(2)).7C2 = C3xC8.17D4φ: C2/C1 → C2 ⊆ Out C3xM5(2)964(C3xM5(2)).7C2192,168
(C3xM5(2)).8C2 = C3xC8.C8φ: C2/C1 → C2 ⊆ Out C3xM5(2)482(C3xM5(2)).8C2192,170

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