Extensions 1→N→G→Q→1 with N=C2×C9⋊S3 and Q=C4

Direct product G=N×Q with N=C2×C9⋊S3 and Q=C4
dρLabelID
C2×C4×C9⋊S3216C2xC4xC9:S3432,381

Semidirect products G=N:Q with N=C2×C9⋊S3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C9⋊S3)⋊1C4 = C6.18D36φ: C4/C2C2 ⊆ Out C2×C9⋊S372(C2xC9:S3):1C4432,92
(C2×C9⋊S3)⋊2C4 = C6.11D36φ: C4/C2C2 ⊆ Out C2×C9⋊S3216(C2xC9:S3):2C4432,183
(C2×C9⋊S3)⋊3C4 = C2×C18.D6φ: C4/C2C2 ⊆ Out C2×C9⋊S372(C2xC9:S3):3C4432,306

Non-split extensions G=N.Q with N=C2×C9⋊S3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C9⋊S3).1C4 = C36.38D6φ: C4/C2C2 ⊆ Out C2×C9⋊S3724(C2xC9:S3).1C4432,59
(C2×C9⋊S3).2C4 = C36.40D6φ: C4/C2C2 ⊆ Out C2×C9⋊S3724(C2xC9:S3).2C4432,61
(C2×C9⋊S3).3C4 = C72⋊S3φ: C4/C2C2 ⊆ Out C2×C9⋊S3216(C2xC9:S3).3C4432,170
(C2×C9⋊S3).4C4 = C8×C9⋊S3φ: trivial image216(C2xC9:S3).4C4432,169

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