Extensions 1→N→G→Q→1 with N=D5⋊C8 and Q=C4

Direct product G=N×Q with N=D5⋊C8 and Q=C4
dρLabelID
C4×D5⋊C8160C4xD5:C8320,1013

Semidirect products G=N:Q with N=D5⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
D5⋊C8⋊C4 = C423F5φ: C4/C1C4 ⊆ Out D5⋊C8804D5:C8:C4320,201
D5⋊C82C4 = D10.18D8φ: C4/C2C2 ⊆ Out D5⋊C880D5:C8:2C4320,212
D5⋊C83C4 = D10.C42φ: C4/C2C2 ⊆ Out D5⋊C8160D5:C8:3C4320,1039
D5⋊C84C4 = M4(2)⋊5F5φ: C4/C2C2 ⊆ Out D5⋊C8808D5:C8:4C4320,1066
D5⋊C85C4 = C42.5F5φ: C4/C2C2 ⊆ Out D5⋊C8160D5:C8:5C4320,1014
D5⋊C86C4 = C2×C8⋊F5φ: C4/C2C2 ⊆ Out D5⋊C880D5:C8:6C4320,1055
D5⋊C87C4 = C2×C8×F5φ: trivial image80D5:C8:7C4320,1054

Non-split extensions G=N.Q with N=D5⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
D5⋊C8.1C4 = C16⋊F5φ: C4/C1C4 ⊆ Out D5⋊C8804D5:C8.1C4320,183
D5⋊C8.2C4 = C164F5φ: C4/C1C4 ⊆ Out D5⋊C8804D5:C8.2C4320,184
D5⋊C8.3C4 = C20.25C42φ: C4/C1C4 ⊆ Out D5⋊C8804D5:C8.3C4320,235
D5⋊C8.4C4 = M4(2).F5φ: C4/C2C2 ⊆ Out D5⋊C8808D5:C8.4C4320,239
D5⋊C8.5C4 = C167F5φ: C4/C2C2 ⊆ Out D5⋊C8804D5:C8.5C4320,182
D5⋊C8.6C4 = C16×F5φ: trivial image804D5:C8.6C4320,181

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