Extensions 1→N→G→Q→1 with N=C15⋊D4 and Q=C4

Direct product G=N×Q with N=C15⋊D4 and Q=C4
dρLabelID
C4×C15⋊D4240C4xC15:D4480,515

Semidirect products G=N:Q with N=C15⋊D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C15⋊D41C4 = F5×C3⋊D4φ: C4/C1C4 ⊆ Out C15⋊D4608C15:D4:1C4480,1010
C15⋊D42C4 = C3⋊D4⋊F5φ: C4/C1C4 ⊆ Out C15⋊D4608C15:D4:2C4480,1012
C15⋊D43C4 = D6⋊(C4×D5)φ: C4/C2C2 ⊆ Out C15⋊D4240C15:D4:3C4480,516
C15⋊D44C4 = C1517(C4×D4)φ: C4/C2C2 ⊆ Out C15⋊D4240C15:D4:4C4480,517
C15⋊D45C4 = Dic159D4φ: C4/C2C2 ⊆ Out C15⋊D4240C15:D4:5C4480,518

Non-split extensions G=N.Q with N=C15⋊D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C15⋊D4.1C4 = D12.2F5φ: C4/C1C4 ⊆ Out C15⋊D42408-C15:D4.1C4480,987
C15⋊D4.2C4 = D12.F5φ: C4/C1C4 ⊆ Out C15⋊D42408-C15:D4.2C4480,989
C15⋊D4.3C4 = C40.34D6φ: C4/C2C2 ⊆ Out C15⋊D42404C15:D4.3C4480,342
C15⋊D4.4C4 = C40.55D6φ: C4/C2C2 ⊆ Out C15⋊D42404C15:D4.4C4480,343
C15⋊D4.5C4 = C40.35D6φ: C4/C2C2 ⊆ Out C15⋊D42404C15:D4.5C4480,344
C15⋊D4.6C4 = C40.54D6φ: trivial image2404C15:D4.6C4480,341

׿
×
𝔽