# Extensions 1→N→G→Q→1 with N=C7×Dic3 and Q=C22

Direct product G=N×Q with N=C7×Dic3 and Q=C22
dρLabelID
Dic3×C2×C14336Dic3xC2xC14336,192

Semidirect products G=N:Q with N=C7×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C7×Dic3)⋊1C22 = D7×C3⋊D4φ: C22/C1C22 ⊆ Out C7×Dic3844(C7xDic3):1C2^2336,161
(C7×Dic3)⋊2C22 = D6⋊D14φ: C22/C1C22 ⊆ Out C7×Dic3844+(C7xDic3):2C2^2336,163
(C7×Dic3)⋊3C22 = C4×S3×D7φ: C22/C2C2 ⊆ Out C7×Dic3844(C7xDic3):3C2^2336,147
(C7×Dic3)⋊4C22 = S3×D28φ: C22/C2C2 ⊆ Out C7×Dic3844+(C7xDic3):4C2^2336,149
(C7×Dic3)⋊5C22 = C2×Dic3×D7φ: C22/C2C2 ⊆ Out C7×Dic3168(C7xDic3):5C2^2336,151
(C7×Dic3)⋊6C22 = C2×D21⋊C4φ: C22/C2C2 ⊆ Out C7×Dic3168(C7xDic3):6C2^2336,156
(C7×Dic3)⋊7C22 = C2×C3⋊D28φ: C22/C2C2 ⊆ Out C7×Dic3168(C7xDic3):7C2^2336,158
(C7×Dic3)⋊8C22 = S3×C7×D4φ: C22/C2C2 ⊆ Out C7×Dic3844(C7xDic3):8C2^2336,188
(C7×Dic3)⋊9C22 = C14×C3⋊D4φ: C22/C2C2 ⊆ Out C7×Dic3168(C7xDic3):9C2^2336,193
(C7×Dic3)⋊10C22 = S3×C2×C28φ: trivial image168(C7xDic3):10C2^2336,185

Non-split extensions G=N.Q with N=C7×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C7×Dic3).1C22 = D7×Dic6φ: C22/C1C22 ⊆ Out C7×Dic31684-(C7xDic3).1C2^2336,137
(C7×Dic3).2C22 = D28⋊S3φ: C22/C1C22 ⊆ Out C7×Dic31684(C7xDic3).2C2^2336,139
(C7×Dic3).3C22 = D21⋊Q8φ: C22/C1C22 ⊆ Out C7×Dic31684(C7xDic3).3C2^2336,143
(C7×Dic3).4C22 = D14.D6φ: C22/C1C22 ⊆ Out C7×Dic31684+(C7xDic3).4C2^2336,146
(C7×Dic3).5C22 = C42.C23φ: C22/C1C22 ⊆ Out C7×Dic31684-(C7xDic3).5C2^2336,153
(C7×Dic3).6C22 = Dic3.D14φ: C22/C1C22 ⊆ Out C7×Dic31684(C7xDic3).6C2^2336,155
(C7×Dic3).7C22 = D285S3φ: C22/C2C2 ⊆ Out C7×Dic31684-(C7xDic3).7C2^2336,138
(C7×Dic3).8C22 = S3×Dic14φ: C22/C2C2 ⊆ Out C7×Dic31684-(C7xDic3).8C2^2336,140
(C7×Dic3).9C22 = D84⋊C2φ: C22/C2C2 ⊆ Out C7×Dic31684+(C7xDic3).9C2^2336,142
(C7×Dic3).10C22 = D6.D14φ: C22/C2C2 ⊆ Out C7×Dic31684(C7xDic3).10C2^2336,144
(C7×Dic3).11C22 = Dic7.D6φ: C22/C2C2 ⊆ Out C7×Dic31684(C7xDic3).11C2^2336,152
(C7×Dic3).12C22 = C2×C21⋊Q8φ: C22/C2C2 ⊆ Out C7×Dic3336(C7xDic3).12C2^2336,160
(C7×Dic3).13C22 = C14×Dic6φ: C22/C2C2 ⊆ Out C7×Dic3336(C7xDic3).13C2^2336,184
(C7×Dic3).14C22 = C7×C4○D12φ: C22/C2C2 ⊆ Out C7×Dic31682(C7xDic3).14C2^2336,187
(C7×Dic3).15C22 = S3×C7×Q8φ: C22/C2C2 ⊆ Out C7×Dic31684(C7xDic3).15C2^2336,190
(C7×Dic3).16C22 = C7×D42S3φ: trivial image1684(C7xDic3).16C2^2336,189
(C7×Dic3).17C22 = C7×Q83S3φ: trivial image1684(C7xDic3).17C2^2336,191

׿
×
𝔽