# Extensions 1→N→G→Q→1 with N=C22 and Q=C22×Dic7

Direct product G=N×Q with N=C22 and Q=C22×Dic7
dρLabelID
C24×Dic7448C2^4xDic7448,1383

Semidirect products G=N:Q with N=C22 and Q=C22×Dic7
extensionφ:Q→Aut NdρLabelID
C221(C22×Dic7) = C2×D4×Dic7φ: C22×Dic7/C2×Dic7C2 ⊆ Aut C22224C2^2:1(C2^2xDic7)448,1248
C222(C22×Dic7) = C22×C23.D7φ: C22×Dic7/C22×C14C2 ⊆ Aut C22224C2^2:2(C2^2xDic7)448,1292

Non-split extensions G=N.Q with N=C22 and Q=C22×Dic7
extensionφ:Q→Aut NdρLabelID
C22.1(C22×Dic7) = C24.38D14φ: C22×Dic7/C2×Dic7C2 ⊆ Aut C22112C2^2.1(C2^2xDic7)448,1251
C22.2(C22×Dic7) = C28.76C24φ: C22×Dic7/C2×Dic7C2 ⊆ Aut C221124C2^2.2(C2^2xDic7)448,1272
C22.3(C22×Dic7) = C4○D4×Dic7φ: C22×Dic7/C2×Dic7C2 ⊆ Aut C22224C2^2.3(C2^2xDic7)448,1279
C22.4(C22×Dic7) = C14.1062- 1+4φ: C22×Dic7/C2×Dic7C2 ⊆ Aut C22224C2^2.4(C2^2xDic7)448,1280
C22.5(C22×Dic7) = C2×C28.D4φ: C22×Dic7/C22×C14C2 ⊆ Aut C22112C2^2.5(C2^2xDic7)448,750
C22.6(C22×Dic7) = C2×C23⋊Dic7φ: C22×Dic7/C22×C14C2 ⊆ Aut C22112C2^2.6(C2^2xDic7)448,753
C22.7(C22×Dic7) = C2×C28.10D4φ: C22×Dic7/C22×C14C2 ⊆ Aut C22224C2^2.7(C2^2xDic7)448,760
C22.8(C22×Dic7) = (D4×C14).16C4φ: C22×Dic7/C22×C14C2 ⊆ Aut C221124C2^2.8(C2^2xDic7)448,771
C22.9(C22×Dic7) = (D4×C14)⋊10C4φ: C22×Dic7/C22×C14C2 ⊆ Aut C221124C2^2.9(C2^2xDic7)448,774
C22.10(C22×Dic7) = C14.422- 1+4φ: C22×Dic7/C22×C14C2 ⊆ Aut C22224C2^2.10(C2^2xDic7)448,1265
C22.11(C22×Dic7) = C2×C4×C7⋊C8central extension (φ=1)448C2^2.11(C2^2xDic7)448,454
C22.12(C22×Dic7) = C2×C42.D7central extension (φ=1)448C2^2.12(C2^2xDic7)448,455
C22.13(C22×Dic7) = C4×C4.Dic7central extension (φ=1)224C2^2.13(C2^2xDic7)448,456
C22.14(C22×Dic7) = C2×C28⋊C8central extension (φ=1)448C2^2.14(C2^2xDic7)448,457
C22.15(C22×Dic7) = C42.6Dic7central extension (φ=1)224C2^2.15(C2^2xDic7)448,459
C22.16(C22×Dic7) = C42×Dic7central extension (φ=1)448C2^2.16(C2^2xDic7)448,464
C22.17(C22×Dic7) = C424Dic7central extension (φ=1)448C2^2.17(C2^2xDic7)448,466
C22.18(C22×Dic7) = C4×C4⋊Dic7central extension (φ=1)448C2^2.18(C2^2xDic7)448,468
C22.19(C22×Dic7) = C22⋊C4×Dic7central extension (φ=1)224C2^2.19(C2^2xDic7)448,475
C22.20(C22×Dic7) = C4⋊C4×Dic7central extension (φ=1)448C2^2.20(C2^2xDic7)448,509
C22.21(C22×Dic7) = C28.5C42central extension (φ=1)224C2^2.21(C2^2xDic7)448,531
C22.22(C22×Dic7) = D4×C7⋊C8central extension (φ=1)224C2^2.22(C2^2xDic7)448,544
C22.23(C22×Dic7) = Q8×C7⋊C8central extension (φ=1)448C2^2.23(C2^2xDic7)448,557
C22.24(C22×Dic7) = C2×C28.55D4central extension (φ=1)224C2^2.24(C2^2xDic7)448,740
C22.25(C22×Dic7) = C2×C14.C42central extension (φ=1)448C2^2.25(C2^2xDic7)448,742
C22.26(C22×Dic7) = C4×C23.D7central extension (φ=1)224C2^2.26(C2^2xDic7)448,743
C22.27(C22×Dic7) = C23×C7⋊C8central extension (φ=1)448C2^2.27(C2^2xDic7)448,1233
C22.28(C22×Dic7) = C22×C4.Dic7central extension (φ=1)224C2^2.28(C2^2xDic7)448,1234
C22.29(C22×Dic7) = C22×C4×Dic7central extension (φ=1)448C2^2.29(C2^2xDic7)448,1235
C22.30(C22×Dic7) = C22×C4⋊Dic7central extension (φ=1)448C2^2.30(C2^2xDic7)448,1238
C22.31(C22×Dic7) = C2×C23.21D14central extension (φ=1)224C2^2.31(C2^2xDic7)448,1239
C22.32(C22×Dic7) = C2×Q8×Dic7central extension (φ=1)448C2^2.32(C2^2xDic7)448,1264
C22.33(C22×Dic7) = C2×Q8.Dic7central extension (φ=1)224C2^2.33(C2^2xDic7)448,1271
C22.34(C22×Dic7) = C287M4(2)central stem extension (φ=1)224C2^2.34(C2^2xDic7)448,458
C22.35(C22×Dic7) = C42.7Dic7central stem extension (φ=1)224C2^2.35(C2^2xDic7)448,460
C22.36(C22×Dic7) = C428Dic7central stem extension (φ=1)448C2^2.36(C2^2xDic7)448,469
C22.37(C22×Dic7) = C429Dic7central stem extension (φ=1)448C2^2.37(C2^2xDic7)448,470
C22.38(C22×Dic7) = C425Dic7central stem extension (φ=1)448C2^2.38(C2^2xDic7)448,471
C22.39(C22×Dic7) = C24.47D14central stem extension (φ=1)224C2^2.39(C2^2xDic7)448,484
C22.40(C22×Dic7) = C24.8D14central stem extension (φ=1)224C2^2.40(C2^2xDic7)448,485
C22.41(C22×Dic7) = C4⋊C45Dic7central stem extension (φ=1)448C2^2.41(C2^2xDic7)448,515
C22.42(C22×Dic7) = C4⋊(C4⋊Dic7)central stem extension (φ=1)448C2^2.42(C2^2xDic7)448,519
C22.43(C22×Dic7) = C42.43D14central stem extension (φ=1)224C2^2.43(C2^2xDic7)448,533
C22.44(C22×Dic7) = C42.187D14central stem extension (φ=1)224C2^2.44(C2^2xDic7)448,534
C22.45(C22×Dic7) = C42.47D14central stem extension (φ=1)224C2^2.45(C2^2xDic7)448,545
C22.46(C22×Dic7) = C283M4(2)central stem extension (φ=1)224C2^2.46(C2^2xDic7)448,546
C22.47(C22×Dic7) = C42.210D14central stem extension (φ=1)448C2^2.47(C2^2xDic7)448,558
C22.48(C22×Dic7) = C24.4Dic7central stem extension (φ=1)112C2^2.48(C2^2xDic7)448,741
C22.49(C22×Dic7) = C24.63D14central stem extension (φ=1)224C2^2.49(C2^2xDic7)448,745
C22.50(C22×Dic7) = C23.27D28central stem extension (φ=1)224C2^2.50(C2^2xDic7)448,746
C22.51(C22×Dic7) = C24.18D14central stem extension (φ=1)224C2^2.51(C2^2xDic7)448,754
C22.52(C22×Dic7) = C24.19D14central stem extension (φ=1)224C2^2.52(C2^2xDic7)448,755
C22.53(C22×Dic7) = (Q8×C14)⋊7C4central stem extension (φ=1)448C2^2.53(C2^2xDic7)448,764
C22.54(C22×Dic7) = (D4×C14).11C4central stem extension (φ=1)224C2^2.54(C2^2xDic7)448,768
C22.55(C22×Dic7) = C25.D7central stem extension (φ=1)112C2^2.55(C2^2xDic7)448,781

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