Extensions 1→N→G→Q→1 with N=D5×C3⋊S3 and Q=C2

Direct product G=N×Q with N=D5×C3⋊S3 and Q=C2
dρLabelID
C2×D5×C3⋊S390C2xD5xC3:S3360,152

Semidirect products G=N:Q with N=D5×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C3⋊S3)⋊C2 = S32×D5φ: C2/C1C2 ⊆ Out D5×C3⋊S3308+(D5xC3:S3):C2360,137

Non-split extensions G=N.Q with N=D5×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C3⋊S3).1C2 = D5×C32⋊C4φ: C2/C1C2 ⊆ Out D5×C3⋊S3308+(D5xC3:S3).1C2360,130
(D5×C3⋊S3).2C2 = C32⋊F5⋊C2φ: C2/C1C2 ⊆ Out D5×C3⋊S3308+(D5xC3:S3).2C2360,131
(D5×C3⋊S3).3C2 = C3⋊S3×F5φ: C2/C1C2 ⊆ Out D5×C3⋊S345(D5xC3:S3).3C2360,127
(D5×C3⋊S3).4C2 = C3⋊F5⋊S3φ: C2/C1C2 ⊆ Out D5×C3⋊S3308+(D5xC3:S3).4C2360,129

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