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Extensions 1→N→G→Q→1 with N=C3×D5⋊C8 and Q=C2

Direct product G=N×Q with N=C3×D5⋊C8 and Q=C2
dρLabelID
C6×D5⋊C8240C6xD5:C8480,1047

Semidirect products G=N:Q with N=C3×D5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D5⋊C8)⋊1C2 = D12⋊F5φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81208+(C3xD5:C8):1C2480,228
(C3×D5⋊C8)⋊2C2 = D12.2F5φ: C2/C1 → C2 ⊆ Out C3×D5⋊C82408-(C3xD5:C8):2C2480,987
(C3×D5⋊C8)⋊3C2 = D60.C4φ: C2/C1 → C2 ⊆ Out C3×D5⋊C82408+(C3xD5:C8):3C2480,990
(C3×D5⋊C8)⋊4C2 = S3×D5⋊C8φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81208(C3xD5:C8):4C2480,986
(C3×D5⋊C8)⋊5C2 = C5⋊C8⋊D6φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81208(C3xD5:C8):5C2480,993
(C3×D5⋊C8)⋊6C2 = C3×D20⋊C4φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81208(C3xD5:C8):6C2480,287
(C3×D5⋊C8)⋊7C2 = C3×D4.F5φ: C2/C1 → C2 ⊆ Out C3×D5⋊C82408(C3xD5:C8):7C2480,1053
(C3×D5⋊C8)⋊8C2 = C3×Q8.F5φ: C2/C1 → C2 ⊆ Out C3×D5⋊C82408(C3xD5:C8):8C2480,1055
(C3×D5⋊C8)⋊9C2 = C3×D5⋊M4(2)φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81204(C3xD5:C8):9C2480,1049

Non-split extensions G=N.Q with N=C3×D5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D5⋊C8).1C2 = Dic30⋊C4φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81208-(C3xD5:C8).1C2480,230
(C3×D5⋊C8).2C2 = C30.C42φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81208(C3xD5:C8).2C2480,224
(C3×D5⋊C8).3C2 = C30.4C42φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81208(C3xD5:C8).3C2480,226
(C3×D5⋊C8).4C2 = C3×Q8⋊F5φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81208(C3xD5:C8).4C2480,289
(C3×D5⋊C8).5C2 = C3×C8⋊F5φ: C2/C1 → C2 ⊆ Out C3×D5⋊C81204(C3xD5:C8).5C2480,272
(C3×D5⋊C8).6C2 = F5×C24φ: trivial image1204(C3xD5:C8).6C2480,271

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