Extensions 1→N→G→Q→1 with N=C2 and Q=D5×C24

Direct product G=N×Q with N=C2 and Q=D5×C24
dρLabelID
D5×C25160D5xC2^5320,1639


Non-split extensions G=N.Q with N=C2 and Q=D5×C24
extensionφ:Q→Aut NdρLabelID
C2.1(D5×C24) = D5×C23×C4central extension (φ=1)160C2.1(D5xC2^4)320,1609
C2.2(D5×C24) = C24×Dic5central extension (φ=1)320C2.2(D5xC2^4)320,1626
C2.3(D5×C24) = C23×Dic10central stem extension (φ=1)320C2.3(D5xC2^4)320,1608
C2.4(D5×C24) = C23×D20central stem extension (φ=1)160C2.4(D5xC2^4)320,1610
C2.5(D5×C24) = C22×C4○D20central stem extension (φ=1)160C2.5(D5xC2^4)320,1611
C2.6(D5×C24) = C22×D4×D5central stem extension (φ=1)80C2.6(D5xC2^4)320,1612
C2.7(D5×C24) = C22×D42D5central stem extension (φ=1)160C2.7(D5xC2^4)320,1613
C2.8(D5×C24) = C2×D46D10central stem extension (φ=1)80C2.8(D5xC2^4)320,1614
C2.9(D5×C24) = C22×Q8×D5central stem extension (φ=1)160C2.9(D5xC2^4)320,1615
C2.10(D5×C24) = C22×Q82D5central stem extension (φ=1)160C2.10(D5xC2^4)320,1616
C2.11(D5×C24) = C2×Q8.10D10central stem extension (φ=1)160C2.11(D5xC2^4)320,1617
C2.12(D5×C24) = C2×D5×C4○D4central stem extension (φ=1)80C2.12(D5xC2^4)320,1618
C2.13(D5×C24) = C2×D48D10central stem extension (φ=1)80C2.13(D5xC2^4)320,1619
C2.14(D5×C24) = C2×D4.10D10central stem extension (φ=1)160C2.14(D5xC2^4)320,1620
C2.15(D5×C24) = C10.C25central stem extension (φ=1)804C2.15(D5xC2^4)320,1621
C2.16(D5×C24) = D5×2+ 1+4central stem extension (φ=1)408+C2.16(D5xC2^4)320,1622
C2.17(D5×C24) = D20.37C23central stem extension (φ=1)808-C2.17(D5xC2^4)320,1623
C2.18(D5×C24) = D5×2- 1+4central stem extension (φ=1)808-C2.18(D5xC2^4)320,1624
C2.19(D5×C24) = D20.39C23central stem extension (φ=1)808+C2.19(D5xC2^4)320,1625
C2.20(D5×C24) = C23×C5⋊D4central stem extension (φ=1)160C2.20(D5xC2^4)320,1627

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