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Extensions 1→N→G→Q→1 with N=C22×D15 and Q=C4

Direct product G=N×Q with N=C22×D15 and Q=C4
dρLabelID
C22×C4×D15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=C22×D15 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×D15)⋊1C4 = C23.6D30φ: C4/C1 → C4 ⊆ Out C22×D151204(C2^2xD15):1C4480,166
(C22×D15)⋊2C4 = C15⋊9(C23⋊C4)φ: C4/C1 → C4 ⊆ Out C22×D151204(C2^2xD15):2C4480,73
(C22×D15)⋊3C4 = D10.4D12φ: C4/C1 → C4 ⊆ Out C22×D151208+(C2^2xD15):3C4480,249
(C22×D15)⋊4C4 = C2×D6⋊F5φ: C4/C1 → C4 ⊆ Out C22×D15120(C2^2xD15):4C4480,1000
(C22×D15)⋊5C4 = S3×C22⋊F5φ: C4/C1 → C4 ⊆ Out C22×D15608+(C2^2xD15):5C4480,1011
(C22×D15)⋊6C4 = C22×S3×F5φ: C4/C1 → C4 ⊆ Out C22×D1560(C2^2xD15):6C4480,1197
(C22×D15)⋊7C4 = C22⋊C4×D15φ: C4/C2 → C2 ⊆ Out C22×D15120(C2^2xD15):7C4480,845
(C22×D15)⋊8C4 = C2×D30⋊3C4φ: C4/C2 → C2 ⊆ Out C22×D15240(C2^2xD15):8C4480,892
(C22×D15)⋊9C4 = C2×D30⋊4C4φ: C4/C2 → C2 ⊆ Out C22×D15240(C2^2xD15):9C4480,616
(C22×D15)⋊10C4 = D30.45D4φ: C4/C2 → C2 ⊆ Out C22×D15120(C2^2xD15):10C4480,637
(C22×D15)⋊11C4 = C22×D30.C2φ: C4/C2 → C2 ⊆ Out C22×D15240(C2^2xD15):11C4480,1117

Non-split extensions G=N.Q with N=C22×D15 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×D15).1C4 = M4(2)⋊D15φ: C4/C1 → C4 ⊆ Out C22×D151204+(C2^2xD15).1C4480,183
(C22×D15).2C4 = C60.29D4φ: C4/C1 → C4 ⊆ Out C22×D151204+(C2^2xD15).2C4480,36
(C22×D15).3C4 = D30⋊C8φ: C4/C1 → C4 ⊆ Out C22×D15240(C2^2xD15).3C4480,247
(C22×D15).4C4 = Dic5.D12φ: C4/C1 → C4 ⊆ Out C22×D151208+(C2^2xD15).4C4480,250
(C22×D15).5C4 = C2×D15⋊C8φ: C4/C1 → C4 ⊆ Out C22×D15240(C2^2xD15).5C4480,1006
(C22×D15).6C4 = D15⋊2M4(2)φ: C4/C1 → C4 ⊆ Out C22×D151208+(C2^2xD15).6C4480,1007
(C22×D15).7C4 = C2×Dic3.F5φ: C4/C1 → C4 ⊆ Out C22×D15240(C2^2xD15).7C4480,1009
(C22×D15).8C4 = D30⋊3C8φ: C4/C2 → C2 ⊆ Out C22×D15240(C2^2xD15).8C4480,180
(C22×D15).9C4 = C2×C40⋊S3φ: C4/C2 → C2 ⊆ Out C22×D15240(C2^2xD15).9C4480,865
(C22×D15).10C4 = M4(2)×D15φ: C4/C2 → C2 ⊆ Out C22×D151204(C2^2xD15).10C4480,871
(C22×D15).11C4 = D30⋊4C8φ: C4/C2 → C2 ⊆ Out C22×D15240(C2^2xD15).11C4480,33
(C22×D15).12C4 = C2×D15⋊2C8φ: C4/C2 → C2 ⊆ Out C22×D15240(C2^2xD15).12C4480,365
(C22×D15).13C4 = D15⋊4M4(2)φ: C4/C2 → C2 ⊆ Out C22×D151204(C2^2xD15).13C4480,368
(C22×D15).14C4 = C2×D30.5C4φ: C4/C2 → C2 ⊆ Out C22×D15240(C2^2xD15).14C4480,371
(C22×D15).15C4 = C2×C8×D15φ: trivial image240(C2^2xD15).15C4480,864

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