# Extensions 1→N→G→Q→1 with N=C4×C7⋊C3 and Q=C22

Direct product G=N×Q with N=C4×C7⋊C3 and Q=C22
dρLabelID
C22×C4×C7⋊C3112C2^2xC4xC7:C3336,164

Semidirect products G=N:Q with N=C4×C7⋊C3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×C7⋊C3)⋊C22 = D4×F7φ: C22/C1C22 ⊆ Out C4×C7⋊C32812+(C4xC7:C3):C2^2336,125
(C4×C7⋊C3)⋊2C22 = C2×C4⋊F7φ: C22/C2C2 ⊆ Out C4×C7⋊C356(C4xC7:C3):2C2^2336,123
(C4×C7⋊C3)⋊3C22 = C2×C4×F7φ: C22/C2C2 ⊆ Out C4×C7⋊C356(C4xC7:C3):3C2^2336,122
(C4×C7⋊C3)⋊4C22 = C2×D4×C7⋊C3φ: C22/C2C2 ⊆ Out C4×C7⋊C356(C4xC7:C3):4C2^2336,165

Non-split extensions G=N.Q with N=C4×C7⋊C3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×C7⋊C3).1C22 = D4⋊F7φ: C22/C1C22 ⊆ Out C4×C7⋊C35612+(C4xC7:C3).1C2^2336,18
(C4×C7⋊C3).2C22 = D4.F7φ: C22/C1C22 ⊆ Out C4×C7⋊C35612-(C4xC7:C3).2C2^2336,19
(C4×C7⋊C3).3C22 = Q82F7φ: C22/C1C22 ⊆ Out C4×C7⋊C35612+(C4xC7:C3).3C2^2336,20
(C4×C7⋊C3).4C22 = Q8.2F7φ: C22/C1C22 ⊆ Out C4×C7⋊C311212-(C4xC7:C3).4C2^2336,21
(C4×C7⋊C3).5C22 = D42F7φ: C22/C1C22 ⊆ Out C4×C7⋊C35612-(C4xC7:C3).5C2^2336,126
(C4×C7⋊C3).6C22 = Q8×F7φ: C22/C1C22 ⊆ Out C4×C7⋊C35612-(C4xC7:C3).6C2^2336,127
(C4×C7⋊C3).7C22 = Q83F7φ: C22/C1C22 ⊆ Out C4×C7⋊C35612+(C4xC7:C3).7C2^2336,128
(C4×C7⋊C3).8C22 = C56⋊C6φ: C22/C2C2 ⊆ Out C4×C7⋊C3566(C4xC7:C3).8C2^2336,9
(C4×C7⋊C3).9C22 = D56⋊C3φ: C22/C2C2 ⊆ Out C4×C7⋊C3566+(C4xC7:C3).9C2^2336,10
(C4×C7⋊C3).10C22 = C8.F7φ: C22/C2C2 ⊆ Out C4×C7⋊C31126-(C4xC7:C3).10C2^2336,11
(C4×C7⋊C3).11C22 = C2×C4.F7φ: C22/C2C2 ⊆ Out C4×C7⋊C3112(C4xC7:C3).11C2^2336,121
(C4×C7⋊C3).12C22 = D286C6φ: C22/C2C2 ⊆ Out C4×C7⋊C3566(C4xC7:C3).12C2^2336,124
(C4×C7⋊C3).13C22 = C8×F7φ: C22/C2C2 ⊆ Out C4×C7⋊C3566(C4xC7:C3).13C2^2336,7
(C4×C7⋊C3).14C22 = C8⋊F7φ: C22/C2C2 ⊆ Out C4×C7⋊C3566(C4xC7:C3).14C2^2336,8
(C4×C7⋊C3).15C22 = C2×C7⋊C24φ: C22/C2C2 ⊆ Out C4×C7⋊C3112(C4xC7:C3).15C2^2336,12
(C4×C7⋊C3).16C22 = C28.C12φ: C22/C2C2 ⊆ Out C4×C7⋊C3566(C4xC7:C3).16C2^2336,13
(C4×C7⋊C3).17C22 = D8×C7⋊C3φ: C22/C2C2 ⊆ Out C4×C7⋊C3566(C4xC7:C3).17C2^2336,53
(C4×C7⋊C3).18C22 = SD16×C7⋊C3φ: C22/C2C2 ⊆ Out C4×C7⋊C3566(C4xC7:C3).18C2^2336,54
(C4×C7⋊C3).19C22 = Q16×C7⋊C3φ: C22/C2C2 ⊆ Out C4×C7⋊C31126(C4xC7:C3).19C2^2336,55
(C4×C7⋊C3).20C22 = C2×Q8×C7⋊C3φ: C22/C2C2 ⊆ Out C4×C7⋊C3112(C4xC7:C3).20C2^2336,166
(C4×C7⋊C3).21C22 = C4○D4×C7⋊C3φ: C22/C2C2 ⊆ Out C4×C7⋊C3566(C4xC7:C3).21C2^2336,167
(C4×C7⋊C3).22C22 = C2×C8×C7⋊C3φ: trivial image112(C4xC7:C3).22C2^2336,51
(C4×C7⋊C3).23C22 = M4(2)×C7⋊C3φ: trivial image566(C4xC7:C3).23C2^2336,52

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