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Extensions 1→N→G→Q→1 with N=C22×C7⋊C3 and Q=C22

Direct product G=N×Q with N=C22×C7⋊C3 and Q=C22
dρLabelID
C24×C7⋊C3112C2^4xC7:C3336,220

Semidirect products G=N:Q with N=C22×C7⋊C3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22×C7⋊C3)⋊C22 = D4×F7φ: C22/C1 → C22 ⊆ Out C22×C7⋊C32812+(C2^2xC7:C3):C2^2336,125
(C22×C7⋊C3)⋊2C22 = C2×Dic7⋊C6φ: C22/C2 → C2 ⊆ Out C22×C7⋊C356(C2^2xC7:C3):2C2^2336,130
(C22×C7⋊C3)⋊3C22 = C23×F7φ: C22/C2 → C2 ⊆ Out C22×C7⋊C356(C2^2xC7:C3):3C2^2336,216
(C22×C7⋊C3)⋊4C22 = C2×D4×C7⋊C3φ: C22/C2 → C2 ⊆ Out C22×C7⋊C356(C2^2xC7:C3):4C2^2336,165

Non-split extensions G=N.Q with N=C22×C7⋊C3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22×C7⋊C3).C22 = D4⋊2F7φ: C22/C1 → C22 ⊆ Out C22×C7⋊C35612-(C2^2xC7:C3).C2^2336,126
(C22×C7⋊C3).2C22 = C4×C7⋊C12φ: C22/C2 → C2 ⊆ Out C22×C7⋊C3112(C2^2xC7:C3).2C2^2336,14
(C22×C7⋊C3).3C22 = Dic7⋊C12φ: C22/C2 → C2 ⊆ Out C22×C7⋊C3112(C2^2xC7:C3).3C2^2336,15
(C22×C7⋊C3).4C22 = C28⋊C12φ: C22/C2 → C2 ⊆ Out C22×C7⋊C3112(C2^2xC7:C3).4C2^2336,16
(C22×C7⋊C3).5C22 = D14⋊C12φ: C22/C2 → C2 ⊆ Out C22×C7⋊C356(C2^2xC7:C3).5C2^2336,17
(C22×C7⋊C3).6C22 = C23.2F7φ: C22/C2 → C2 ⊆ Out C22×C7⋊C356(C2^2xC7:C3).6C2^2336,22
(C22×C7⋊C3).7C22 = C2×C4.F7φ: C22/C2 → C2 ⊆ Out C22×C7⋊C3112(C2^2xC7:C3).7C2^2336,121
(C22×C7⋊C3).8C22 = C2×C4×F7φ: C22/C2 → C2 ⊆ Out C22×C7⋊C356(C2^2xC7:C3).8C2^2336,122
(C22×C7⋊C3).9C22 = C2×C4⋊F7φ: C22/C2 → C2 ⊆ Out C22×C7⋊C356(C2^2xC7:C3).9C2^2336,123
(C22×C7⋊C3).10C22 = D28⋊6C6φ: C22/C2 → C2 ⊆ Out C22×C7⋊C3566(C2^2xC7:C3).10C2^2336,124
(C22×C7⋊C3).11C22 = C22×C7⋊C12φ: C22/C2 → C2 ⊆ Out C22×C7⋊C3112(C2^2xC7:C3).11C2^2336,129
(C22×C7⋊C3).12C22 = C4○D4×C7⋊C3φ: C22/C2 → C2 ⊆ Out C22×C7⋊C3566(C2^2xC7:C3).12C2^2336,167
(C22×C7⋊C3).13C22 = C42×C7⋊C3φ: trivial image112(C2^2xC7:C3).13C2^2336,48
(C22×C7⋊C3).14C22 = C22⋊C4×C7⋊C3φ: trivial image56(C2^2xC7:C3).14C2^2336,49
(C22×C7⋊C3).15C22 = C4⋊C4×C7⋊C3φ: trivial image112(C2^2xC7:C3).15C2^2336,50
(C22×C7⋊C3).16C22 = C22×C4×C7⋊C3φ: trivial image112(C2^2xC7:C3).16C2^2336,164
(C22×C7⋊C3).17C22 = C2×Q8×C7⋊C3φ: trivial image112(C2^2xC7:C3).17C2^2336,166

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