# Extensions 1→N→G→Q→1 with N=C32⋊4C8 and Q=C4

Direct product G=N×Q with N=C324C8 and Q=C4
dρLabelID
C4×C324C8288C4xC3^2:4C8288,277

Semidirect products G=N:Q with N=C324C8 and Q=C4
extensionφ:Q→Out NdρLabelID
C324C81C4 = C12.6Dic6φ: C4/C2C2 ⊆ Out C324C896C3^2:4C8:1C4288,222
C324C82C4 = C12.8Dic6φ: C4/C2C2 ⊆ Out C324C896C3^2:4C8:2C4288,224
C324C83C4 = C12.9Dic6φ: C4/C2C2 ⊆ Out C324C8288C3^2:4C8:3C4288,282
C324C84C4 = C12.10Dic6φ: C4/C2C2 ⊆ Out C324C8288C3^2:4C8:4C4288,283
C324C85C4 = Dic3×C3⋊C8φ: C4/C2C2 ⊆ Out C324C896C3^2:4C8:5C4288,200
C324C86C4 = C3⋊C8⋊Dic3φ: C4/C2C2 ⊆ Out C324C896C3^2:4C8:6C4288,202
C324C87C4 = C122.C2φ: C4/C2C2 ⊆ Out C324C8288C3^2:4C8:7C4288,278
C324C88C4 = C24⋊Dic3φ: C4/C2C2 ⊆ Out C324C8288C3^2:4C8:8C4288,290
C324C89C4 = C8×C32⋊C4φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8:9C4288,414
C324C810C4 = (C3×C24)⋊C4φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8:10C4288,415
C324C811C4 = C8⋊(C32⋊C4)φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8:11C4288,416
C324C812C4 = C3⋊S3.4D8φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8:12C4288,417
C324C813C4 = C8×C3⋊Dic3φ: trivial image288C3^2:4C8:13C4288,288

Non-split extensions G=N.Q with N=C324C8 and Q=C4
extensionφ:Q→Out NdρLabelID
C324C8.C4 = C32⋊C32φ: C4/C1C4 ⊆ Out C324C8968C3^2:4C8.C4288,373
C324C8.2C4 = C62.5Q8φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8.2C4288,226
C324C8.3C4 = C62.8Q8φ: C4/C2C2 ⊆ Out C324C8144C3^2:4C8.3C4288,297
C324C8.4C4 = C24.60D6φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8.4C4288,190
C324C8.5C4 = C24.62D6φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8.5C4288,192
C324C8.6C4 = C48⋊S3φ: C4/C2C2 ⊆ Out C324C8144C3^2:4C8.6C4288,273
C324C8.7C4 = (C3×C24).C4φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8.7C4288,418
C324C8.8C4 = C8.(C32⋊C4)φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8.8C4288,419
C324C8.9C4 = C2×C322C16φ: C4/C2C2 ⊆ Out C324C896C3^2:4C8.9C4288,420
C324C8.10C4 = C62.4C8φ: C4/C2C2 ⊆ Out C324C8484C3^2:4C8.10C4288,421
C324C8.11C4 = C16×C3⋊S3φ: trivial image144C3^2:4C8.11C4288,272

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