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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8⋊2D7

Direct product G=N×Q with N=C22 and Q=Q8⋊2D7
dρLabelID
C22×Q8⋊2D7224C2^2xQ8:2D7448,1373

Semidirect products G=N:Q with N=C22 and Q=Q8⋊2D7
extensionφ:Q→Aut NdρLabelID
C22⋊1(Q8⋊2D7) = C4⋊C4⋊26D14φ: Q8⋊2D7/C4×D7 → C2 ⊆ Aut C22112C2^2:1(Q8:2D7)448,1080
C22⋊2(Q8⋊2D7) = D28⋊21D4φ: Q8⋊2D7/D28 → C2 ⊆ Aut C22112C2^2:2(Q8:2D7)448,1083
C22⋊3(Q8⋊2D7) = C14.452- 1+4φ: Q8⋊2D7/C7×Q8 → C2 ⊆ Aut C22224C2^2:3(Q8:2D7)448,1270

Non-split extensions G=N.Q with N=C22 and Q=Q8⋊2D7
extensionφ:Q→Aut NdρLabelID
C22.1(Q8⋊2D7) = D56⋊10C4φ: Q8⋊2D7/C4×D7 → C2 ⊆ Aut C221124C2^2.1(Q8:2D7)448,428
C22.2(Q8⋊2D7) = D56⋊7C4φ: Q8⋊2D7/C4×D7 → C2 ⊆ Aut C221124C2^2.2(Q8:2D7)448,429
C22.3(Q8⋊2D7) = C22⋊Q8⋊25D7φ: Q8⋊2D7/C4×D7 → C2 ⊆ Aut C22224C2^2.3(Q8:2D7)448,1077
C22.4(Q8⋊2D7) = C14.562+ 1+4φ: Q8⋊2D7/C4×D7 → C2 ⊆ Aut C22112C2^2.4(Q8:2D7)448,1097
C22.5(Q8⋊2D7) = C14.572+ 1+4φ: Q8⋊2D7/C4×D7 → C2 ⊆ Aut C22224C2^2.5(Q8:2D7)448,1098
C22.6(Q8⋊2D7) = C8.20D28φ: Q8⋊2D7/D28 → C2 ⊆ Aut C222244-C2^2.6(Q8:2D7)448,430
C22.7(Q8⋊2D7) = C8.21D28φ: Q8⋊2D7/D28 → C2 ⊆ Aut C221124+C2^2.7(Q8:2D7)448,431
C22.8(Q8⋊2D7) = C8.24D28φ: Q8⋊2D7/D28 → C2 ⊆ Aut C221124C2^2.8(Q8:2D7)448,432
C22.9(Q8⋊2D7) = C14.532+ 1+4φ: Q8⋊2D7/D28 → C2 ⊆ Aut C22112C2^2.9(Q8:2D7)448,1090
C22.10(Q8⋊2D7) = C14.772- 1+4φ: Q8⋊2D7/D28 → C2 ⊆ Aut C22224C2^2.10(Q8:2D7)448,1095
C22.11(Q8⋊2D7) = C14.112+ 1+4φ: Q8⋊2D7/C7×Q8 → C2 ⊆ Aut C22224C2^2.11(Q8:2D7)448,967
C22.12(Q8⋊2D7) = Dic7.5C42central extension (φ=1)448C2^2.12(Q8:2D7)448,182
C22.13(Q8⋊2D7) = C7⋊(C42⋊5C4)central extension (φ=1)448C2^2.13(Q8:2D7)448,185
C22.14(Q8⋊2D7) = C4⋊Dic7⋊8C4central extension (φ=1)448C2^2.14(Q8:2D7)448,188
C22.15(Q8⋊2D7) = C14.(C4×D4)central extension (φ=1)448C2^2.15(Q8:2D7)448,189
C22.16(Q8⋊2D7) = C22.58(D4×D7)central extension (φ=1)224C2^2.16(Q8:2D7)448,198
C22.17(Q8⋊2D7) = (C2×C4)⋊9D28central extension (φ=1)224C2^2.17(Q8:2D7)448,199
C22.18(Q8⋊2D7) = D14⋊C42central extension (φ=1)224C2^2.18(Q8:2D7)448,200
C22.19(Q8⋊2D7) = D14⋊C4⋊5C4central extension (φ=1)224C2^2.19(Q8:2D7)448,203
C22.20(Q8⋊2D7) = C2.(C4×D28)central extension (φ=1)224C2^2.20(Q8:2D7)448,204
C22.21(Q8⋊2D7) = C28⋊(C4⋊C4)central extension (φ=1)448C2^2.21(Q8:2D7)448,507
C22.22(Q8⋊2D7) = C4⋊C4×Dic7central extension (φ=1)448C2^2.22(Q8:2D7)448,509
C22.23(Q8⋊2D7) = (C4×Dic7)⋊9C4central extension (φ=1)448C2^2.23(Q8:2D7)448,511
C22.24(Q8⋊2D7) = C22.23(Q8×D7)central extension (φ=1)448C2^2.24(Q8:2D7)448,512
C22.25(Q8⋊2D7) = C4⋊C4⋊5Dic7central extension (φ=1)448C2^2.25(Q8:2D7)448,515
C22.26(Q8⋊2D7) = C4⋊(C4⋊Dic7)central extension (φ=1)448C2^2.26(Q8:2D7)448,519
C22.27(Q8⋊2D7) = C4⋊(D14⋊C4)central extension (φ=1)224C2^2.27(Q8:2D7)448,521
C22.28(Q8⋊2D7) = (C2×D28)⋊10C4central extension (φ=1)224C2^2.28(Q8:2D7)448,522
C22.29(Q8⋊2D7) = D14⋊C4⋊6C4central extension (φ=1)224C2^2.29(Q8:2D7)448,523
C22.30(Q8⋊2D7) = D14⋊C4⋊7C4central extension (φ=1)224C2^2.30(Q8:2D7)448,524
C22.31(Q8⋊2D7) = (Q8×C14)⋊7C4central extension (φ=1)448C2^2.31(Q8:2D7)448,764
C22.32(Q8⋊2D7) = C2×C28.3Q8central extension (φ=1)448C2^2.32(Q8:2D7)448,952
C22.33(Q8⋊2D7) = C2×C4⋊C4⋊7D7central extension (φ=1)224C2^2.33(Q8:2D7)448,955
C22.34(Q8⋊2D7) = C2×D28⋊C4central extension (φ=1)224C2^2.34(Q8:2D7)448,956
C22.35(Q8⋊2D7) = C2×D14.5D4central extension (φ=1)224C2^2.35(Q8:2D7)448,958
C22.36(Q8⋊2D7) = C2×C4⋊D28central extension (φ=1)224C2^2.36(Q8:2D7)448,959
C22.37(Q8⋊2D7) = C2×C4⋊C4⋊D7central extension (φ=1)224C2^2.37(Q8:2D7)448,965
C22.38(Q8⋊2D7) = C2×Q8×Dic7central extension (φ=1)448C2^2.38(Q8:2D7)448,1264
C22.39(Q8⋊2D7) = C2×D14⋊3Q8central extension (φ=1)224C2^2.39(Q8:2D7)448,1266
C22.40(Q8⋊2D7) = C2×C28.23D4central extension (φ=1)224C2^2.40(Q8:2D7)448,1267
C22.41(Q8⋊2D7) = (C2×C4).Dic14central stem extension (φ=1)448C2^2.41(Q8:2D7)448,194
C22.42(Q8⋊2D7) = C14.(C4⋊Q8)central stem extension (φ=1)448C2^2.42(Q8:2D7)448,195
C22.43(Q8⋊2D7) = (C22×C4).D14central stem extension (φ=1)448C2^2.43(Q8:2D7)448,196
C22.44(Q8⋊2D7) = (C2×C28)⋊5D4central stem extension (φ=1)224C2^2.44(Q8:2D7)448,205
C22.45(Q8⋊2D7) = (C2×Dic7)⋊3D4central stem extension (φ=1)224C2^2.45(Q8:2D7)448,206
C22.46(Q8⋊2D7) = (C2×C4).21D28central stem extension (φ=1)224C2^2.46(Q8:2D7)448,208
C22.47(Q8⋊2D7) = (C22×D7).9D4central stem extension (φ=1)224C2^2.47(Q8:2D7)448,209
C22.48(Q8⋊2D7) = (C2×C28).288D4central stem extension (φ=1)448C2^2.48(Q8:2D7)448,516
C22.49(Q8⋊2D7) = (C2×C28).54D4central stem extension (φ=1)448C2^2.49(Q8:2D7)448,518
C22.50(Q8⋊2D7) = (C2×C28).55D4central stem extension (φ=1)448C2^2.50(Q8:2D7)448,520
C22.51(Q8⋊2D7) = (C2×C4)⋊3D28central stem extension (φ=1)224C2^2.51(Q8:2D7)448,525
C22.52(Q8⋊2D7) = (C2×C28).289D4central stem extension (φ=1)224C2^2.52(Q8:2D7)448,526
C22.53(Q8⋊2D7) = (C2×C28).290D4central stem extension (φ=1)224C2^2.53(Q8:2D7)448,527
C22.54(Q8⋊2D7) = (C2×C4).45D28central stem extension (φ=1)224C2^2.54(Q8:2D7)448,528
C22.55(Q8⋊2D7) = C14.C22≀C2central stem extension (φ=1)448C2^2.55(Q8:2D7)448,763
C22.56(Q8⋊2D7) = (C22×Q8)⋊D7central stem extension (φ=1)224C2^2.56(Q8:2D7)448,765

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