# Extensions 1→N→G→Q→1 with N=C3×C5⋊C8 and Q=C22

Direct product G=N×Q with N=C3×C5⋊C8 and Q=C22
dρLabelID
C2×C6×C5⋊C8480C2xC6xC5:C8480,1057

Semidirect products G=N:Q with N=C3×C5⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×C5⋊C8)⋊1C22 = S3×C4.F5φ: C22/C1C22 ⊆ Out C3×C5⋊C81208(C3xC5:C8):1C2^2480,988
(C3×C5⋊C8)⋊2C22 = D15⋊M4(2)φ: C22/C1C22 ⊆ Out C3×C5⋊C81208(C3xC5:C8):2C2^2480,991
(C3×C5⋊C8)⋊3C22 = S3×C22.F5φ: C22/C1C22 ⊆ Out C3×C5⋊C81208-(C3xC5:C8):3C2^2480,1004
(C3×C5⋊C8)⋊4C22 = D152M4(2)φ: C22/C1C22 ⊆ Out C3×C5⋊C81208+(C3xC5:C8):4C2^2480,1007
(C3×C5⋊C8)⋊5C22 = S3×D5⋊C8φ: C22/C2C2 ⊆ Out C3×C5⋊C81208(C3xC5:C8):5C2^2480,986
(C3×C5⋊C8)⋊6C22 = C5⋊C8⋊D6φ: C22/C2C2 ⊆ Out C3×C5⋊C81208(C3xC5:C8):6C2^2480,993
(C3×C5⋊C8)⋊7C22 = C2×S3×C5⋊C8φ: C22/C2C2 ⊆ Out C3×C5⋊C8240(C3xC5:C8):7C2^2480,1002
(C3×C5⋊C8)⋊8C22 = C2×D15⋊C8φ: C22/C2C2 ⊆ Out C3×C5⋊C8240(C3xC5:C8):8C2^2480,1006
(C3×C5⋊C8)⋊9C22 = C2×D6.F5φ: C22/C2C2 ⊆ Out C3×C5⋊C8240(C3xC5:C8):9C2^2480,1008
(C3×C5⋊C8)⋊10C22 = C2×Dic3.F5φ: C22/C2C2 ⊆ Out C3×C5⋊C8240(C3xC5:C8):10C2^2480,1009
(C3×C5⋊C8)⋊11C22 = C6×C4.F5φ: C22/C2C2 ⊆ Out C3×C5⋊C8240(C3xC5:C8):11C2^2480,1048
(C3×C5⋊C8)⋊12C22 = C3×D5⋊M4(2)φ: C22/C2C2 ⊆ Out C3×C5⋊C81204(C3xC5:C8):12C2^2480,1049
(C3×C5⋊C8)⋊13C22 = C6×C22.F5φ: C22/C2C2 ⊆ Out C3×C5⋊C8240(C3xC5:C8):13C2^2480,1058
(C3×C5⋊C8)⋊14C22 = C6×D5⋊C8φ: trivial image240(C3xC5:C8):14C2^2480,1047

Non-split extensions G=N.Q with N=C3×C5⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×C5⋊C8).1C22 = D12.F5φ: C22/C1C22 ⊆ Out C3×C5⋊C82408-(C3xC5:C8).1C2^2480,989
(C3×C5⋊C8).2C22 = Dic6.F5φ: C22/C1C22 ⊆ Out C3×C5⋊C82408+(C3xC5:C8).2C2^2480,992
(C3×C5⋊C8).3C22 = D15⋊C8⋊C2φ: C22/C1C22 ⊆ Out C3×C5⋊C82408(C3xC5:C8).3C2^2480,1005
(C3×C5⋊C8).4C22 = D12.2F5φ: C22/C2C2 ⊆ Out C3×C5⋊C82408-(C3xC5:C8).4C2^2480,987
(C3×C5⋊C8).5C22 = D60.C4φ: C22/C2C2 ⊆ Out C3×C5⋊C82408+(C3xC5:C8).5C2^2480,990
(C3×C5⋊C8).6C22 = C5⋊C8.D6φ: C22/C2C2 ⊆ Out C3×C5⋊C82408(C3xC5:C8).6C2^2480,1003
(C3×C5⋊C8).7C22 = C3×D4.F5φ: C22/C2C2 ⊆ Out C3×C5⋊C82408(C3xC5:C8).7C2^2480,1053
(C3×C5⋊C8).8C22 = C3×Q8.F5φ: C22/C2C2 ⊆ Out C3×C5⋊C82408(C3xC5:C8).8C2^2480,1055

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