# Extensions 1→N→G→Q→1 with N=C23×Dic7 and Q=C2

Direct product G=N×Q with N=C23×Dic7 and Q=C2
dρLabelID
C24×Dic7448C2^4xDic7448,1383

Semidirect products G=N:Q with N=C23×Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C23×Dic7)⋊1C2 = C23.45D28φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):1C2448,492
(C23×Dic7)⋊2C2 = C24.18D14φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):2C2448,754
(C23×Dic7)⋊3C2 = C2×Dic74D4φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):3C2448,938
(C23×Dic7)⋊4C2 = C2×C22.D28φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):4C2448,945
(C23×Dic7)⋊5C2 = C24.56D14φ: C2/C1C2 ⊆ Out C23×Dic7112(C2^3xDic7):5C2448,1039
(C23×Dic7)⋊6C2 = C22×D14⋊C4φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):6C2448,1240
(C23×Dic7)⋊7C2 = C2×D4×Dic7φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):7C2448,1248
(C23×Dic7)⋊8C2 = C2×C23.18D14φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):8C2448,1249
(C23×Dic7)⋊9C2 = C2×Dic7⋊D4φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):9C2448,1255
(C23×Dic7)⋊10C2 = C22×C23.D7φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):10C2448,1292
(C23×Dic7)⋊11C2 = C22×D42D7φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):11C2448,1370
(C23×Dic7)⋊12C2 = C23×C7⋊D4φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7):12C2448,1384
(C23×Dic7)⋊13C2 = D7×C23×C4φ: trivial image224(C2^3xDic7):13C2448,1366

Non-split extensions G=N.Q with N=C23×Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C23×Dic7).1C2 = C22⋊C4×Dic7φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7).1C2448,475
(C23×Dic7).2C2 = C24.44D14φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7).2C2448,476
(C23×Dic7).3C2 = C23.42D28φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7).3C2448,477
(C23×Dic7).4C2 = C24.46D14φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7).4C2448,480
(C23×Dic7).5C2 = C24.47D14φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7).5C2448,484
(C23×Dic7).6C2 = C2×C14.C42φ: C2/C1C2 ⊆ Out C23×Dic7448(C2^3xDic7).6C2448,742
(C23×Dic7).7C2 = C2×C23.11D14φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7).7C2448,933
(C23×Dic7).8C2 = C2×C22⋊Dic14φ: C2/C1C2 ⊆ Out C23×Dic7224(C2^3xDic7).8C2448,934
(C23×Dic7).9C2 = C22×Dic7⋊C4φ: C2/C1C2 ⊆ Out C23×Dic7448(C2^3xDic7).9C2448,1236
(C23×Dic7).10C2 = C22×C4⋊Dic7φ: C2/C1C2 ⊆ Out C23×Dic7448(C2^3xDic7).10C2448,1238
(C23×Dic7).11C2 = C23×Dic14φ: C2/C1C2 ⊆ Out C23×Dic7448(C2^3xDic7).11C2448,1365
(C23×Dic7).12C2 = C22×C4×Dic7φ: trivial image448(C2^3xDic7).12C2448,1235

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