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Extensions 1→N→G→Q→1 with N=C2×S3×D5 and Q=C22

Direct product G=N×Q with N=C2×S3×D5 and Q=C22
dρLabelID
S3×C23×D5120S3xC2^3xD5480,1207

Semidirect products G=N:Q with N=C2×S3×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×S3×D5)⋊1C22 = D20⋊25D6φ: C22/C1 → C22 ⊆ Out C2×S3×D51204(C2xS3xD5):1C2^2480,1093
(C2×S3×D5)⋊2C22 = D20⋊26D6φ: C22/C1 → C22 ⊆ Out C2×S3×D51204(C2xS3xD5):2C2^2480,1094
(C2×S3×D5)⋊3C22 = D20⋊29D6φ: C22/C1 → C22 ⊆ Out C2×S3×D51204+(C2xS3xD5):3C2^2480,1095
(C2×S3×D5)⋊4C22 = D20⋊13D6φ: C22/C1 → C22 ⊆ Out C2×S3×D51208-(C2xS3xD5):4C2^2480,1101
(C2×S3×D5)⋊5C22 = D20⋊14D6φ: C22/C1 → C22 ⊆ Out C2×S3×D51208+(C2xS3xD5):5C2^2480,1102
(C2×S3×D5)⋊6C22 = D12⋊14D10φ: C22/C1 → C22 ⊆ Out C2×S3×D51208+(C2xS3xD5):6C2^2480,1103
(C2×S3×D5)⋊7C22 = D20⋊17D6φ: C22/C1 → C22 ⊆ Out C2×S3×D51208+(C2xS3xD5):7C2^2480,1111
(C2×S3×D5)⋊8C22 = C15⋊2+ 1+4φ: C22/C1 → C22 ⊆ Out C2×S3×D51204(C2xS3xD5):8C2^2480,1125
(C2×S3×D5)⋊9C22 = C2×D5×D12φ: C22/C2 → C2 ⊆ Out C2×S3×D5120(C2xS3xD5):9C2^2480,1087
(C2×S3×D5)⋊10C22 = C2×S3×D20φ: C22/C2 → C2 ⊆ Out C2×S3×D5120(C2xS3xD5):10C2^2480,1088
(C2×S3×D5)⋊11C22 = C2×C20⋊D6φ: C22/C2 → C2 ⊆ Out C2×S3×D5120(C2xS3xD5):11C2^2480,1089
(C2×S3×D5)⋊12C22 = S3×D4×D5φ: C22/C2 → C2 ⊆ Out C2×S3×D5608+(C2xS3xD5):12C2^2480,1097
(C2×S3×D5)⋊13C22 = C2×D5×C3⋊D4φ: C22/C2 → C2 ⊆ Out C2×S3×D5120(C2xS3xD5):13C2^2480,1122
(C2×S3×D5)⋊14C22 = C2×S3×C5⋊D4φ: C22/C2 → C2 ⊆ Out C2×S3×D5120(C2xS3xD5):14C2^2480,1123
(C2×S3×D5)⋊15C22 = C2×D10⋊D6φ: C22/C2 → C2 ⊆ Out C2×S3×D5120(C2xS3xD5):15C2^2480,1124

Non-split extensions G=N.Q with N=C2×S3×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×S3×D5).1C22 = F5×D12φ: C22/C1 → C22 ⊆ Out C2×S3×D5608+(C2xS3xD5).1C2^2480,995
(C2×S3×D5).2C22 = D60⋊3C4φ: C22/C1 → C22 ⊆ Out C2×S3×D5608+(C2xS3xD5).2C2^2480,997
(C2×S3×D5).3C22 = F5×C3⋊D4φ: C22/C1 → C22 ⊆ Out C2×S3×D5608(C2xS3xD5).3C2^2480,1010
(C2×S3×D5).4C22 = C3⋊D4⋊F5φ: C22/C1 → C22 ⊆ Out C2×S3×D5608(C2xS3xD5).4C2^2480,1012
(C2×S3×D5).5C22 = D5×C4○D12φ: C22/C2 → C2 ⊆ Out C2×S3×D51204(C2xS3xD5).5C2^2480,1090
(C2×S3×D5).6C22 = S3×C4○D20φ: C22/C2 → C2 ⊆ Out C2×S3×D51204(C2xS3xD5).6C2^2480,1091
(C2×S3×D5).7C22 = D20⋊24D6φ: C22/C2 → C2 ⊆ Out C2×S3×D51204(C2xS3xD5).7C2^2480,1092
(C2×S3×D5).8C22 = D5×D4⋊2S3φ: C22/C2 → C2 ⊆ Out C2×S3×D51208-(C2xS3xD5).8C2^2480,1098
(C2×S3×D5).9C22 = S3×D4⋊2D5φ: C22/C2 → C2 ⊆ Out C2×S3×D51208-(C2xS3xD5).9C2^2480,1099
(C2×S3×D5).10C22 = D30.C23φ: C22/C2 → C2 ⊆ Out C2×S3×D51208+(C2xS3xD5).10C2^2480,1100
(C2×S3×D5).11C22 = D5×Q8⋊3S3φ: C22/C2 → C2 ⊆ Out C2×S3×D51208+(C2xS3xD5).11C2^2480,1108
(C2×S3×D5).12C22 = S3×Q8⋊2D5φ: C22/C2 → C2 ⊆ Out C2×S3×D51208+(C2xS3xD5).12C2^2480,1109
(C2×S3×D5).13C22 = D20⋊16D6φ: C22/C2 → C2 ⊆ Out C2×S3×D51208-(C2xS3xD5).13C2^2480,1110
(C2×S3×D5).14C22 = C4⋊F5⋊3S3φ: C22/C2 → C2 ⊆ Out C2×S3×D51208(C2xS3xD5).14C2^2480,983
(C2×S3×D5).15C22 = (C4×S3)⋊F5φ: C22/C2 → C2 ⊆ Out C2×S3×D51208(C2xS3xD5).15C2^2480,985
(C2×S3×D5).16C22 = C4×S3×F5φ: C22/C2 → C2 ⊆ Out C2×S3×D5608(C2xS3xD5).16C2^2480,994
(C2×S3×D5).17C22 = S3×C4⋊F5φ: C22/C2 → C2 ⊆ Out C2×S3×D5608(C2xS3xD5).17C2^2480,996
(C2×S3×D5).18C22 = C2×D6⋊F5φ: C22/C2 → C2 ⊆ Out C2×S3×D5120(C2xS3xD5).18C2^2480,1000
(C2×S3×D5).19C22 = S3×C22⋊F5φ: C22/C2 → C2 ⊆ Out C2×S3×D5608+(C2xS3xD5).19C2^2480,1011
(C2×S3×D5).20C22 = C22×S3×F5φ: C22/C2 → C2 ⊆ Out C2×S3×D560(C2xS3xD5).20C2^2480,1197
(C2×S3×D5).21C22 = S3×C2×C4×D5φ: trivial image120(C2xS3xD5).21C2^2480,1086
(C2×S3×D5).22C22 = S3×Q8×D5φ: trivial image1208-(C2xS3xD5).22C2^2480,1107

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