# Extensions 1→N→G→Q→1 with N=C24.S3 and Q=C2

Direct product G=N×Q with N=C24.S3 and Q=C2
dρLabelID
C2×C24.S3288C2xC24.S3288,286

Semidirect products G=N:Q with N=C24.S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C24.S31C2 = C322D16φ: C2/C1C2 ⊆ Out C24.S3964C24.S3:1C2288,193
C24.S32C2 = D24.S3φ: C2/C1C2 ⊆ Out C24.S3964C24.S3:2C2288,195
C24.S33C2 = C327D16φ: C2/C1C2 ⊆ Out C24.S3144C24.S3:3C2288,301
C24.S34C2 = C328SD32φ: C2/C1C2 ⊆ Out C24.S3144C24.S3:4C2288,302
C24.S35C2 = C3210SD32φ: C2/C1C2 ⊆ Out C24.S3144C24.S3:5C2288,303
C24.S36C2 = S3×C3⋊C16φ: C2/C1C2 ⊆ Out C24.S3964C24.S3:6C2288,189
C24.S37C2 = C24.61D6φ: C2/C1C2 ⊆ Out C24.S3964C24.S3:7C2288,191
C24.S38C2 = C48⋊S3φ: C2/C1C2 ⊆ Out C24.S3144C24.S3:8C2288,273
C24.S39C2 = C24.94D6φ: C2/C1C2 ⊆ Out C24.S3144C24.S3:9C2288,287
C24.S310C2 = C16×C3⋊S3φ: trivial image144C24.S3:10C2288,272

Non-split extensions G=N.Q with N=C24.S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C24.S3.1C2 = C322Q32φ: C2/C1C2 ⊆ Out C24.S3964C24.S3.1C2288,198
C24.S3.2C2 = C327Q32φ: C2/C1C2 ⊆ Out C24.S3288C24.S3.2C2288,304
C24.S3.3C2 = C322C32φ: C2/C1C2 ⊆ Out C24.S3964C24.S3.3C2288,188

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