# Extensions 1→N→G→Q→1 with N=C5×Dic3 and Q=C22

Direct product G=N×Q with N=C5×Dic3 and Q=C22
dρLabelID
Dic3×C2×C10240Dic3xC2xC10240,173

Semidirect products G=N:Q with N=C5×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×Dic3)⋊1C22 = D5×C3⋊D4φ: C22/C1C22 ⊆ Out C5×Dic3604(C5xDic3):1C2^2240,149
(C5×Dic3)⋊2C22 = D10⋊D6φ: C22/C1C22 ⊆ Out C5×Dic3604+(C5xDic3):2C2^2240,151
(C5×Dic3)⋊3C22 = C4×S3×D5φ: C22/C2C2 ⊆ Out C5×Dic3604(C5xDic3):3C2^2240,135
(C5×Dic3)⋊4C22 = S3×D20φ: C22/C2C2 ⊆ Out C5×Dic3604+(C5xDic3):4C2^2240,137
(C5×Dic3)⋊5C22 = C2×D5×Dic3φ: C22/C2C2 ⊆ Out C5×Dic3120(C5xDic3):5C2^2240,139
(C5×Dic3)⋊6C22 = C2×D30.C2φ: C22/C2C2 ⊆ Out C5×Dic3120(C5xDic3):6C2^2240,144
(C5×Dic3)⋊7C22 = C2×C3⋊D20φ: C22/C2C2 ⊆ Out C5×Dic3120(C5xDic3):7C2^2240,146
(C5×Dic3)⋊8C22 = C5×S3×D4φ: C22/C2C2 ⊆ Out C5×Dic3604(C5xDic3):8C2^2240,169
(C5×Dic3)⋊9C22 = C10×C3⋊D4φ: C22/C2C2 ⊆ Out C5×Dic3120(C5xDic3):9C2^2240,174
(C5×Dic3)⋊10C22 = S3×C2×C20φ: trivial image120(C5xDic3):10C2^2240,166

Non-split extensions G=N.Q with N=C5×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×Dic3).1C22 = D5×Dic6φ: C22/C1C22 ⊆ Out C5×Dic31204-(C5xDic3).1C2^2240,125
(C5×Dic3).2C22 = D20⋊S3φ: C22/C1C22 ⊆ Out C5×Dic31204(C5xDic3).2C2^2240,127
(C5×Dic3).3C22 = D15⋊Q8φ: C22/C1C22 ⊆ Out C5×Dic31204(C5xDic3).3C2^2240,131
(C5×Dic3).4C22 = C12.28D10φ: C22/C1C22 ⊆ Out C5×Dic31204+(C5xDic3).4C2^2240,134
(C5×Dic3).5C22 = C30.C23φ: C22/C1C22 ⊆ Out C5×Dic31204-(C5xDic3).5C2^2240,141
(C5×Dic3).6C22 = Dic3.D10φ: C22/C1C22 ⊆ Out C5×Dic31204(C5xDic3).6C2^2240,143
(C5×Dic3).7C22 = D205S3φ: C22/C2C2 ⊆ Out C5×Dic31204-(C5xDic3).7C2^2240,126
(C5×Dic3).8C22 = S3×Dic10φ: C22/C2C2 ⊆ Out C5×Dic31204-(C5xDic3).8C2^2240,128
(C5×Dic3).9C22 = D60⋊C2φ: C22/C2C2 ⊆ Out C5×Dic31204+(C5xDic3).9C2^2240,130
(C5×Dic3).10C22 = D6.D10φ: C22/C2C2 ⊆ Out C5×Dic31204(C5xDic3).10C2^2240,132
(C5×Dic3).11C22 = Dic5.D6φ: C22/C2C2 ⊆ Out C5×Dic31204(C5xDic3).11C2^2240,140
(C5×Dic3).12C22 = C2×C15⋊Q8φ: C22/C2C2 ⊆ Out C5×Dic3240(C5xDic3).12C2^2240,148
(C5×Dic3).13C22 = C10×Dic6φ: C22/C2C2 ⊆ Out C5×Dic3240(C5xDic3).13C2^2240,165
(C5×Dic3).14C22 = C5×C4○D12φ: C22/C2C2 ⊆ Out C5×Dic31202(C5xDic3).14C2^2240,168
(C5×Dic3).15C22 = C5×S3×Q8φ: C22/C2C2 ⊆ Out C5×Dic31204(C5xDic3).15C2^2240,171
(C5×Dic3).16C22 = C5×D42S3φ: trivial image1204(C5xDic3).16C2^2240,170
(C5×Dic3).17C22 = C5×Q83S3φ: trivial image1204(C5xDic3).17C2^2240,172

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