# Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×D7

Direct product G=N×Q with N=C22 and Q=Q8×D7
dρLabelID
C22×Q8×D7224C2^2xQ8xD7448,1372

Semidirect products G=N:Q with N=C22 and Q=Q8×D7
extensionφ:Q→Aut NdρLabelID
C221(Q8×D7) = Dic1421D4φ: Q8×D7/Dic14C2 ⊆ Aut C22224C2^2:1(Q8xD7)448,1085
C222(Q8×D7) = D7×C22⋊Q8φ: Q8×D7/C4×D7C2 ⊆ Aut C22112C2^2:2(Q8xD7)448,1079
C223(Q8×D7) = Q8×C7⋊D4φ: Q8×D7/C7×Q8C2 ⊆ Aut C22224C2^2:3(Q8xD7)448,1268

Non-split extensions G=N.Q with N=C22 and Q=Q8×D7
extensionφ:Q→Aut NdρLabelID
C22.1(Q8×D7) = C14.1182+ 1+4φ: Q8×D7/Dic14C2 ⊆ Aut C22224C2^2.1(Q8xD7)448,1088
C22.2(Q8×D7) = C14.522+ 1+4φ: Q8×D7/Dic14C2 ⊆ Aut C22224C2^2.2(Q8xD7)448,1089
C22.3(Q8×D7) = D7×C8.C4φ: Q8×D7/C4×D7C2 ⊆ Aut C221124C2^2.3(Q8xD7)448,426
C22.4(Q8×D7) = M4(2).25D14φ: Q8×D7/C4×D7C2 ⊆ Aut C221124C2^2.4(Q8xD7)448,427
C22.5(Q8×D7) = (Q8×Dic7)⋊C2φ: Q8×D7/C4×D7C2 ⊆ Aut C22224C2^2.5(Q8xD7)448,1075
C22.6(Q8×D7) = C14.752- 1+4φ: Q8×D7/C4×D7C2 ⊆ Aut C22224C2^2.6(Q8xD7)448,1076
C22.7(Q8×D7) = C14.512+ 1+4φ: Q8×D7/C4×D7C2 ⊆ Aut C22112C2^2.7(Q8xD7)448,1087
C22.8(Q8×D7) = C14.102+ 1+4φ: Q8×D7/C7×Q8C2 ⊆ Aut C22224C2^2.8(Q8xD7)448,964
C22.9(Q8×D7) = (C2×C28)⋊Q8central extension (φ=1)448C2^2.9(Q8xD7)448,180
C22.10(Q8×D7) = C14.(C4×Q8)central extension (φ=1)448C2^2.10(Q8xD7)448,181
C22.11(Q8×D7) = Dic7⋊C42central extension (φ=1)448C2^2.11(Q8xD7)448,183
C22.12(Q8×D7) = C7⋊(C428C4)central extension (φ=1)448C2^2.12(Q8xD7)448,184
C22.13(Q8×D7) = Dic7⋊C4⋊C4central extension (φ=1)448C2^2.13(Q8xD7)448,186
C22.14(Q8×D7) = C4⋊Dic77C4central extension (φ=1)448C2^2.14(Q8xD7)448,187
C22.15(Q8×D7) = D7×C2.C42central extension (φ=1)224C2^2.15(Q8xD7)448,197
C22.16(Q8×D7) = D14⋊(C4⋊C4)central extension (φ=1)224C2^2.16(Q8xD7)448,201
C22.17(Q8×D7) = D14⋊C4⋊C4central extension (φ=1)224C2^2.17(Q8xD7)448,202
C22.18(Q8×D7) = Dic7⋊(C4⋊C4)central extension (φ=1)448C2^2.18(Q8xD7)448,506
C22.19(Q8×D7) = C28⋊(C4⋊C4)central extension (φ=1)448C2^2.19(Q8xD7)448,507
C22.20(Q8×D7) = (C2×Dic7)⋊6Q8central extension (φ=1)448C2^2.20(Q8xD7)448,508
C22.21(Q8×D7) = C4⋊C4×Dic7central extension (φ=1)448C2^2.21(Q8xD7)448,509
C22.22(Q8×D7) = (C4×Dic7)⋊8C4central extension (φ=1)448C2^2.22(Q8xD7)448,510
C22.23(Q8×D7) = C22.23(Q8×D7)central extension (φ=1)448C2^2.23(Q8xD7)448,512
C22.24(Q8×D7) = C4⋊C45Dic7central extension (φ=1)448C2^2.24(Q8xD7)448,515
C22.25(Q8×D7) = C4⋊(C4⋊Dic7)central extension (φ=1)448C2^2.25(Q8xD7)448,519
C22.26(Q8×D7) = C4⋊(D14⋊C4)central extension (φ=1)224C2^2.26(Q8xD7)448,521
C22.27(Q8×D7) = D14⋊C46C4central extension (φ=1)224C2^2.27(Q8xD7)448,523
C22.28(Q8×D7) = (Q8×C14)⋊7C4central extension (φ=1)448C2^2.28(Q8xD7)448,764
C22.29(Q8×D7) = C2×Dic73Q8central extension (φ=1)448C2^2.29(Q8xD7)448,949
C22.30(Q8×D7) = C2×C28⋊Q8central extension (φ=1)448C2^2.30(Q8xD7)448,950
C22.31(Q8×D7) = C2×Dic7.Q8central extension (φ=1)448C2^2.31(Q8xD7)448,951
C22.32(Q8×D7) = C2×D7×C4⋊C4central extension (φ=1)224C2^2.32(Q8xD7)448,954
C22.33(Q8×D7) = C2×D14⋊Q8central extension (φ=1)224C2^2.33(Q8xD7)448,961
C22.34(Q8×D7) = C2×D142Q8central extension (φ=1)224C2^2.34(Q8xD7)448,962
C22.35(Q8×D7) = C2×Dic7⋊Q8central extension (φ=1)448C2^2.35(Q8xD7)448,1263
C22.36(Q8×D7) = C2×Q8×Dic7central extension (φ=1)448C2^2.36(Q8xD7)448,1264
C22.37(Q8×D7) = C2×D143Q8central extension (φ=1)224C2^2.37(Q8xD7)448,1266
C22.38(Q8×D7) = (C2×Dic7)⋊Q8central stem extension (φ=1)448C2^2.38(Q8xD7)448,190
C22.39(Q8×D7) = C2.(C28⋊Q8)central stem extension (φ=1)448C2^2.39(Q8xD7)448,191
C22.40(Q8×D7) = (C2×Dic7).Q8central stem extension (φ=1)448C2^2.40(Q8xD7)448,192
C22.41(Q8×D7) = (C2×C28).28D4central stem extension (φ=1)448C2^2.41(Q8xD7)448,193
C22.42(Q8×D7) = (C2×C4).20D28central stem extension (φ=1)224C2^2.42(Q8xD7)448,207
C22.43(Q8×D7) = (C22×D7).Q8central stem extension (φ=1)224C2^2.43(Q8xD7)448,210
C22.44(Q8×D7) = (C2×C28).33D4central stem extension (φ=1)224C2^2.44(Q8xD7)448,211
C22.45(Q8×D7) = (C2×C4)⋊Dic14central stem extension (φ=1)448C2^2.45(Q8xD7)448,513
C22.46(Q8×D7) = (C2×C28).287D4central stem extension (φ=1)448C2^2.46(Q8xD7)448,514
C22.47(Q8×D7) = (C2×C28).288D4central stem extension (φ=1)448C2^2.47(Q8xD7)448,516
C22.48(Q8×D7) = (C2×C4).44D28central stem extension (φ=1)448C2^2.48(Q8xD7)448,517
C22.49(Q8×D7) = (C2×C28).54D4central stem extension (φ=1)448C2^2.49(Q8xD7)448,518
C22.50(Q8×D7) = (C2×C28).289D4central stem extension (φ=1)224C2^2.50(Q8xD7)448,526
C22.51(Q8×D7) = (C2×C4).45D28central stem extension (φ=1)224C2^2.51(Q8xD7)448,528
C22.52(Q8×D7) = C14.C22≀C2central stem extension (φ=1)448C2^2.52(Q8xD7)448,763
C22.53(Q8×D7) = (C22×Q8)⋊D7central stem extension (φ=1)224C2^2.53(Q8xD7)448,765

׿
×
𝔽