# Extensions 1→N→G→Q→1 with N=C6×D5 and Q=C22

Direct product G=N×Q with N=C6×D5 and Q=C22
dρLabelID
D5×C22×C6120D5xC2^2xC6240,205

Semidirect products G=N:Q with N=C6×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C6×D5)⋊1C22 = S3×D20φ: C22/C1C22 ⊆ Out C6×D5604+(C6xD5):1C2^2240,137
(C6×D5)⋊2C22 = C20⋊D6φ: C22/C1C22 ⊆ Out C6×D5604(C6xD5):2C2^2240,138
(C6×D5)⋊3C22 = S3×C5⋊D4φ: C22/C1C22 ⊆ Out C6×D5604(C6xD5):3C2^2240,150
(C6×D5)⋊4C22 = D10⋊D6φ: C22/C1C22 ⊆ Out C6×D5604+(C6xD5):4C2^2240,151
(C6×D5)⋊5C22 = C2×C15⋊D4φ: C22/C2C2 ⊆ Out C6×D5120(C6xD5):5C2^2240,145
(C6×D5)⋊6C22 = C2×C3⋊D20φ: C22/C2C2 ⊆ Out C6×D5120(C6xD5):6C2^2240,146
(C6×D5)⋊7C22 = D5×C3⋊D4φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5):7C2^2240,149
(C6×D5)⋊8C22 = C22×S3×D5φ: C22/C2C2 ⊆ Out C6×D560(C6xD5):8C2^2240,202
(C6×D5)⋊9C22 = C6×D20φ: C22/C2C2 ⊆ Out C6×D5120(C6xD5):9C2^2240,157
(C6×D5)⋊10C22 = C3×D4×D5φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5):10C2^2240,159
(C6×D5)⋊11C22 = C6×C5⋊D4φ: C22/C2C2 ⊆ Out C6×D5120(C6xD5):11C2^2240,164

Non-split extensions G=N.Q with N=C6×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C6×D5).1C22 = D205S3φ: C22/C1C22 ⊆ Out C6×D51204-(C6xD5).1C2^2240,126
(C6×D5).2C22 = D20⋊S3φ: C22/C1C22 ⊆ Out C6×D51204(C6xD5).2C2^2240,127
(C6×D5).3C22 = Dic5.D6φ: C22/C1C22 ⊆ Out C6×D51204(C6xD5).3C2^2240,140
(C6×D5).4C22 = C30.C23φ: C22/C1C22 ⊆ Out C6×D51204-(C6xD5).4C2^2240,141
(C6×D5).5C22 = Dic3×F5φ: C22/C1C22 ⊆ Out C6×D5608-(C6xD5).5C2^2240,95
(C6×D5).6C22 = D6⋊F5φ: C22/C1C22 ⊆ Out C6×D5608+(C6xD5).6C2^2240,96
(C6×D5).7C22 = Dic3⋊F5φ: C22/C1C22 ⊆ Out C6×D5608-(C6xD5).7C2^2240,97
(C6×D5).8C22 = C2×S3×F5φ: C22/C1C22 ⊆ Out C6×D5308+(C6xD5).8C2^2240,195
(C6×D5).9C22 = D5×Dic6φ: C22/C2C2 ⊆ Out C6×D51204-(C6xD5).9C2^2240,125
(C6×D5).10C22 = D6.D10φ: C22/C2C2 ⊆ Out C6×D51204(C6xD5).10C2^2240,132
(C6×D5).11C22 = D125D5φ: C22/C2C2 ⊆ Out C6×D51204-(C6xD5).11C2^2240,133
(C6×D5).12C22 = C12.28D10φ: C22/C2C2 ⊆ Out C6×D51204+(C6xD5).12C2^2240,134
(C6×D5).13C22 = C4×S3×D5φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5).13C2^2240,135
(C6×D5).14C22 = D5×D12φ: C22/C2C2 ⊆ Out C6×D5604+(C6xD5).14C2^2240,136
(C6×D5).15C22 = C2×D5×Dic3φ: C22/C2C2 ⊆ Out C6×D5120(C6xD5).15C2^2240,139
(C6×D5).16C22 = C3×C4○D20φ: C22/C2C2 ⊆ Out C6×D51202(C6xD5).16C2^2240,158
(C6×D5).17C22 = C3×D42D5φ: C22/C2C2 ⊆ Out C6×D51204(C6xD5).17C2^2240,160
(C6×D5).18C22 = C3×Q82D5φ: C22/C2C2 ⊆ Out C6×D51204(C6xD5).18C2^2240,162
(C6×D5).19C22 = C4×C3⋊F5φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5).19C2^2240,120
(C6×D5).20C22 = C60⋊C4φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5).20C2^2240,121
(C6×D5).21C22 = D10.D6φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5).21C2^2240,124
(C6×D5).22C22 = C22×C3⋊F5φ: C22/C2C2 ⊆ Out C6×D560(C6xD5).22C2^2240,201
(C6×D5).23C22 = C12×F5φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5).23C2^2240,113
(C6×D5).24C22 = C3×C4⋊F5φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5).24C2^2240,114
(C6×D5).25C22 = C3×C22⋊F5φ: C22/C2C2 ⊆ Out C6×D5604(C6xD5).25C2^2240,117
(C6×D5).26C22 = C2×C6×F5φ: C22/C2C2 ⊆ Out C6×D560(C6xD5).26C2^2240,200
(C6×D5).27C22 = D5×C2×C12φ: trivial image120(C6xD5).27C2^2240,156
(C6×D5).28C22 = C3×Q8×D5φ: trivial image1204(C6xD5).28C2^2240,161

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