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Extensions 1→N→G→Q→1 with N=C4×S3×D5 and Q=C2

Direct product G=N×Q with N=C4×S3×D5 and Q=C2
dρLabelID
S3×C2×C4×D5120S3xC2xC4xD5480,1086

Semidirect products G=N:Q with N=C4×S3×D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×S3×D5)⋊1C2 = S3×D4×D5φ: C2/C1 → C2 ⊆ Out C4×S3×D5608+(C4xS3xD5):1C2480,1097
(C4×S3×D5)⋊2C2 = D5×D4⋊2S3φ: C2/C1 → C2 ⊆ Out C4×S3×D51208-(C4xS3xD5):2C2480,1098
(C4×S3×D5)⋊3C2 = S3×D4⋊2D5φ: C2/C1 → C2 ⊆ Out C4×S3×D51208-(C4xS3xD5):3C2480,1099
(C4×S3×D5)⋊4C2 = D30.C23φ: C2/C1 → C2 ⊆ Out C4×S3×D51208+(C4xS3xD5):4C2480,1100
(C4×S3×D5)⋊5C2 = D5×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out C4×S3×D51208+(C4xS3xD5):5C2480,1108
(C4×S3×D5)⋊6C2 = S3×Q8⋊2D5φ: C2/C1 → C2 ⊆ Out C4×S3×D51208+(C4xS3xD5):6C2480,1109
(C4×S3×D5)⋊7C2 = D20⋊16D6φ: C2/C1 → C2 ⊆ Out C4×S3×D51208-(C4xS3xD5):7C2480,1110
(C4×S3×D5)⋊8C2 = D5×C4○D12φ: C2/C1 → C2 ⊆ Out C4×S3×D51204(C4xS3xD5):8C2480,1090
(C4×S3×D5)⋊9C2 = S3×C4○D20φ: C2/C1 → C2 ⊆ Out C4×S3×D51204(C4xS3xD5):9C2480,1091
(C4×S3×D5)⋊10C2 = D20⋊24D6φ: C2/C1 → C2 ⊆ Out C4×S3×D51204(C4xS3xD5):10C2480,1092

Non-split extensions G=N.Q with N=C4×S3×D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×S3×D5).1C2 = S3×Q8×D5φ: C2/C1 → C2 ⊆ Out C4×S3×D51208-(C4xS3xD5).1C2480,1107
(C4×S3×D5).2C2 = C4⋊F5⋊3S3φ: C2/C1 → C2 ⊆ Out C4×S3×D51208(C4xS3xD5).2C2480,983
(C4×S3×D5).3C2 = S3×C4.F5φ: C2/C1 → C2 ⊆ Out C4×S3×D51208(C4xS3xD5).3C2480,988
(C4×S3×D5).4C2 = D15⋊M4(2)φ: C2/C1 → C2 ⊆ Out C4×S3×D51208(C4xS3xD5).4C2480,991
(C4×S3×D5).5C2 = S3×C4⋊F5φ: C2/C1 → C2 ⊆ Out C4×S3×D5608(C4xS3xD5).5C2480,996
(C4×S3×D5).6C2 = D5×C8⋊S3φ: C2/C1 → C2 ⊆ Out C4×S3×D51204(C4xS3xD5).6C2480,320
(C4×S3×D5).7C2 = S3×C8⋊D5φ: C2/C1 → C2 ⊆ Out C4×S3×D51204(C4xS3xD5).7C2480,321
(C4×S3×D5).8C2 = C40⋊D6φ: C2/C1 → C2 ⊆ Out C4×S3×D51204(C4xS3xD5).8C2480,322
(C4×S3×D5).9C2 = (C4×S3)⋊F5φ: C2/C1 → C2 ⊆ Out C4×S3×D51208(C4xS3xD5).9C2480,985
(C4×S3×D5).10C2 = S3×D5⋊C8φ: C2/C1 → C2 ⊆ Out C4×S3×D51208(C4xS3xD5).10C2480,986
(C4×S3×D5).11C2 = C5⋊C8⋊D6φ: C2/C1 → C2 ⊆ Out C4×S3×D51208(C4xS3xD5).11C2480,993
(C4×S3×D5).12C2 = C4×S3×F5φ: C2/C1 → C2 ⊆ Out C4×S3×D5608(C4xS3xD5).12C2480,994
(C4×S3×D5).13C2 = S3×C8×D5φ: trivial image1204(C4xS3xD5).13C2480,319

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