Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×D5

Direct product G=N×Q with N=C22 and Q=Q8×D5
dρLabelID
C22×Q8×D5160C2^2xQ8xD5320,1615

Semidirect products G=N:Q with N=C22 and Q=Q8×D5
extensionφ:Q→Aut NdρLabelID
C221(Q8×D5) = Dic1021D4φ: Q8×D5/Dic10C2 ⊆ Aut C22160C2^2:1(Q8xD5)320,1304
C222(Q8×D5) = D5×C22⋊Q8φ: Q8×D5/C4×D5C2 ⊆ Aut C2280C2^2:2(Q8xD5)320,1298
C223(Q8×D5) = Q8×C5⋊D4φ: Q8×D5/C5×Q8C2 ⊆ Aut C22160C2^2:3(Q8xD5)320,1487

Non-split extensions G=N.Q with N=C22 and Q=Q8×D5
extensionφ:Q→Aut NdρLabelID
C22.1(Q8×D5) = C10.1182+ 1+4φ: Q8×D5/Dic10C2 ⊆ Aut C22160C2^2.1(Q8xD5)320,1307
C22.2(Q8×D5) = C10.522+ 1+4φ: Q8×D5/Dic10C2 ⊆ Aut C22160C2^2.2(Q8xD5)320,1308
C22.3(Q8×D5) = D5×C8.C4φ: Q8×D5/C4×D5C2 ⊆ Aut C22804C2^2.3(Q8xD5)320,519
C22.4(Q8×D5) = M4(2).25D10φ: Q8×D5/C4×D5C2 ⊆ Aut C22804C2^2.4(Q8xD5)320,520
C22.5(Q8×D5) = (Q8×Dic5)⋊C2φ: Q8×D5/C4×D5C2 ⊆ Aut C22160C2^2.5(Q8xD5)320,1294
C22.6(Q8×D5) = C10.502+ 1+4φ: Q8×D5/C4×D5C2 ⊆ Aut C22160C2^2.6(Q8xD5)320,1295
C22.7(Q8×D5) = C10.512+ 1+4φ: Q8×D5/C4×D5C2 ⊆ Aut C2280C2^2.7(Q8xD5)320,1306
C22.8(Q8×D5) = C10.102+ 1+4φ: Q8×D5/C5×Q8C2 ⊆ Aut C22160C2^2.8(Q8xD5)320,1183
C22.9(Q8×D5) = (C2×C20)⋊Q8central extension (φ=1)320C2^2.9(Q8xD5)320,273
C22.10(Q8×D5) = C10.49(C4×D4)central extension (φ=1)320C2^2.10(Q8xD5)320,274
C22.11(Q8×D5) = Dic52C42central extension (φ=1)320C2^2.11(Q8xD5)320,276
C22.12(Q8×D5) = C52(C428C4)central extension (φ=1)320C2^2.12(Q8xD5)320,277
C22.13(Q8×D5) = C10.51(C4×D4)central extension (φ=1)320C2^2.13(Q8xD5)320,279
C22.14(Q8×D5) = C2.(C4×D20)central extension (φ=1)320C2^2.14(Q8xD5)320,280
C22.15(Q8×D5) = D5×C2.C42central extension (φ=1)160C2^2.15(Q8xD5)320,290
C22.16(Q8×D5) = D102(C4⋊C4)central extension (φ=1)160C2^2.16(Q8xD5)320,294
C22.17(Q8×D5) = D103(C4⋊C4)central extension (φ=1)160C2^2.17(Q8xD5)320,295
C22.18(Q8×D5) = C10.96(C4×D4)central extension (φ=1)320C2^2.18(Q8xD5)320,599
C22.19(Q8×D5) = C204(C4⋊C4)central extension (φ=1)320C2^2.19(Q8xD5)320,600
C22.20(Q8×D5) = (C2×Dic5)⋊6Q8central extension (φ=1)320C2^2.20(Q8xD5)320,601
C22.21(Q8×D5) = C4⋊C4×Dic5central extension (φ=1)320C2^2.21(Q8xD5)320,602
C22.22(Q8×D5) = C205(C4⋊C4)central extension (φ=1)320C2^2.22(Q8xD5)320,603
C22.23(Q8×D5) = C10.97(C4×D4)central extension (φ=1)320C2^2.23(Q8xD5)320,605
C22.24(Q8×D5) = C4⋊C45Dic5central extension (φ=1)320C2^2.24(Q8xD5)320,608
C22.25(Q8×D5) = C206(C4⋊C4)central extension (φ=1)320C2^2.25(Q8xD5)320,612
C22.26(Q8×D5) = D104(C4⋊C4)central extension (φ=1)160C2^2.26(Q8xD5)320,614
C22.27(Q8×D5) = D105(C4⋊C4)central extension (φ=1)160C2^2.27(Q8xD5)320,616
C22.28(Q8×D5) = (Q8×C10)⋊17C4central extension (φ=1)320C2^2.28(Q8xD5)320,857
C22.29(Q8×D5) = C2×Dic53Q8central extension (φ=1)320C2^2.29(Q8xD5)320,1168
C22.30(Q8×D5) = C2×C20⋊Q8central extension (φ=1)320C2^2.30(Q8xD5)320,1169
C22.31(Q8×D5) = C2×Dic5.Q8central extension (φ=1)320C2^2.31(Q8xD5)320,1170
C22.32(Q8×D5) = C2×D5×C4⋊C4central extension (φ=1)160C2^2.32(Q8xD5)320,1173
C22.33(Q8×D5) = C2×D10⋊Q8central extension (φ=1)160C2^2.33(Q8xD5)320,1180
C22.34(Q8×D5) = C2×D102Q8central extension (φ=1)160C2^2.34(Q8xD5)320,1181
C22.35(Q8×D5) = C2×Dic5⋊Q8central extension (φ=1)320C2^2.35(Q8xD5)320,1482
C22.36(Q8×D5) = C2×Q8×Dic5central extension (φ=1)320C2^2.36(Q8xD5)320,1483
C22.37(Q8×D5) = C2×D103Q8central extension (φ=1)160C2^2.37(Q8xD5)320,1485
C22.38(Q8×D5) = (C2×Dic5)⋊Q8central stem extension (φ=1)320C2^2.38(Q8xD5)320,283
C22.39(Q8×D5) = C2.(C20⋊Q8)central stem extension (φ=1)320C2^2.39(Q8xD5)320,284
C22.40(Q8×D5) = (C2×Dic5).Q8central stem extension (φ=1)320C2^2.40(Q8xD5)320,285
C22.41(Q8×D5) = (C2×C20).28D4central stem extension (φ=1)320C2^2.41(Q8xD5)320,286
C22.42(Q8×D5) = (C2×C4).20D20central stem extension (φ=1)160C2^2.42(Q8xD5)320,300
C22.43(Q8×D5) = (C22×D5).Q8central stem extension (φ=1)160C2^2.43(Q8xD5)320,303
C22.44(Q8×D5) = (C2×C20).33D4central stem extension (φ=1)160C2^2.44(Q8xD5)320,304
C22.45(Q8×D5) = (C2×C4)⋊Dic10central stem extension (φ=1)320C2^2.45(Q8xD5)320,606
C22.46(Q8×D5) = (C2×C20).287D4central stem extension (φ=1)320C2^2.46(Q8xD5)320,607
C22.47(Q8×D5) = (C2×C20).288D4central stem extension (φ=1)320C2^2.47(Q8xD5)320,609
C22.48(Q8×D5) = (C2×C20).53D4central stem extension (φ=1)320C2^2.48(Q8xD5)320,610
C22.49(Q8×D5) = (C2×C20).54D4central stem extension (φ=1)320C2^2.49(Q8xD5)320,611
C22.50(Q8×D5) = (C2×C20).289D4central stem extension (φ=1)160C2^2.50(Q8xD5)320,619
C22.51(Q8×D5) = (C2×C20).56D4central stem extension (φ=1)160C2^2.51(Q8xD5)320,621
C22.52(Q8×D5) = C10.C22≀C2central stem extension (φ=1)320C2^2.52(Q8xD5)320,856
C22.53(Q8×D5) = (C22×D5)⋊Q8central stem extension (φ=1)160C2^2.53(Q8xD5)320,858

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