# Extensions 1→N→G→Q→1 with N=C15×M4(2) and Q=C2

Direct product G=N×Q with N=C15×M4(2) and Q=C2
dρLabelID
M4(2)×C30240M4(2)xC30480,935

Semidirect products G=N:Q with N=C15×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C15×M4(2))⋊1C2 = C8⋊D30φ: C2/C1C2 ⊆ Out C15×M4(2)1204+(C15xM4(2)):1C2480,873
(C15×M4(2))⋊2C2 = C8.D30φ: C2/C1C2 ⊆ Out C15×M4(2)2404-(C15xM4(2)):2C2480,874
(C15×M4(2))⋊3C2 = C3×C8⋊D10φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):3C2480,701
(C15×M4(2))⋊4C2 = C3×C8.D10φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)):4C2480,702
(C15×M4(2))⋊5C2 = M4(2)×D15φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):5C2480,871
(C15×M4(2))⋊6C2 = D60.3C4φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)):6C2480,872
(C15×M4(2))⋊7C2 = C5×C8⋊D6φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):7C2480,787
(C15×M4(2))⋊8C2 = C5×C8.D6φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)):8C2480,788
(C15×M4(2))⋊9C2 = C3×D5×M4(2)φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):9C2480,699
(C15×M4(2))⋊10C2 = C3×D20.2C4φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)):10C2480,700
(C15×M4(2))⋊11C2 = C15×C8⋊C22φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):11C2480,941
(C15×M4(2))⋊12C2 = C15×C8.C22φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)):12C2480,942
(C15×M4(2))⋊13C2 = C5×S3×M4(2)φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):13C2480,785
(C15×M4(2))⋊14C2 = C5×D12.C4φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)):14C2480,786
(C15×M4(2))⋊15C2 = C3×C20.46D4φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):15C2480,101
(C15×M4(2))⋊16C2 = C3×D207C4φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):16C2480,103
(C15×M4(2))⋊17C2 = C5×C12.46D4φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):17C2480,142
(C15×M4(2))⋊18C2 = C5×D12⋊C4φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):18C2480,144
(C15×M4(2))⋊19C2 = M4(2)⋊D15φ: C2/C1C2 ⊆ Out C15×M4(2)1204+(C15xM4(2)):19C2480,183
(C15×M4(2))⋊20C2 = D6010C4φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):20C2480,185
(C15×M4(2))⋊21C2 = C15×C4.D4φ: C2/C1C2 ⊆ Out C15×M4(2)1204(C15xM4(2)):21C2480,203
(C15×M4(2))⋊22C2 = C15×C4≀C2φ: C2/C1C2 ⊆ Out C15×M4(2)1202(C15xM4(2)):22C2480,207
(C15×M4(2))⋊23C2 = C15×C8○D4φ: trivial image2402(C15xM4(2)):23C2480,936

Non-split extensions G=N.Q with N=C15×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C15×M4(2)).1C2 = C3×C20.53D4φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)).1C2480,100
(C15×M4(2)).2C2 = C3×C4.12D20φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)).2C2480,102
(C15×M4(2)).3C2 = C5×C12.53D4φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)).3C2480,141
(C15×M4(2)).4C2 = C5×C12.47D4φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)).4C2480,143
(C15×M4(2)).5C2 = C60.210D4φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)).5C2480,182
(C15×M4(2)).6C2 = C4.D60φ: C2/C1C2 ⊆ Out C15×M4(2)2404-(C15xM4(2)).6C2480,184
(C15×M4(2)).7C2 = C15×C4.10D4φ: C2/C1C2 ⊆ Out C15×M4(2)2404(C15xM4(2)).7C2480,204
(C15×M4(2)).8C2 = C15×C8.C4φ: C2/C1C2 ⊆ Out C15×M4(2)2402(C15xM4(2)).8C2480,211

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