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Extensions 1→N→G→Q→1 with N=C22×C3⋊F5 and Q=C2

Direct product G=N×Q with N=C22×C3⋊F5 and Q=C2
dρLabelID
C23×C3⋊F5120C2^3xC3:F5480,1206

Semidirect products G=N:Q with N=C22×C3⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C3⋊F5)⋊1C2 = C2×D6⋊F5φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5120(C2^2xC3:F5):1C2480,1000
(C22×C3⋊F5)⋊2C2 = C3⋊D4⋊F5φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5608(C2^2xC3:F5):2C2480,1012
(C22×C3⋊F5)⋊3C2 = C22×S3×F5φ: C2/C1 → C2 ⊆ Out C22×C3⋊F560(C2^2xC3:F5):3C2480,1197
(C22×C3⋊F5)⋊4C2 = D4×C3⋊F5φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5608(C2^2xC3:F5):4C2480,1067
(C22×C3⋊F5)⋊5C2 = C2×D10.D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5120(C2^2xC3:F5):5C2480,1072

Non-split extensions G=N.Q with N=C22×C3⋊F5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C3⋊F5).1C2 = D10.20D12φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5120(C2^2xC3:F5).1C2480,243
(C22×C3⋊F5).2C2 = C2×Dic3×F5φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5120(C2^2xC3:F5).2C2480,998
(C22×C3⋊F5).3C2 = C2×Dic3⋊F5φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5120(C2^2xC3:F5).3C2480,1001
(C22×C3⋊F5).4C2 = D10.10D12φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5120(C2^2xC3:F5).4C2480,311
(C22×C3⋊F5).5C2 = C2×C60⋊C4φ: C2/C1 → C2 ⊆ Out C22×C3⋊F5120(C2^2xC3:F5).5C2480,1064
(C22×C3⋊F5).6C2 = C2×C4×C3⋊F5φ: trivial image120(C2^2xC3:F5).6C2480,1063

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