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Extensions 1→N→G→Q→1 with N=C15⋊C8 and Q=C22

Direct product G=N×Q with N=C15⋊C8 and Q=C22
dρLabelID
C22×C15⋊C8480C2^2xC15:C8480,1070

Semidirect products G=N:Q with N=C15⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C15⋊C8⋊1C22 = S3×C4.F5φ: C22/C1 → C22 ⊆ Out C15⋊C81208C15:C8:1C2^2480,988
C15⋊C8⋊2C22 = D15⋊M4(2)φ: C22/C1 → C22 ⊆ Out C15⋊C81208C15:C8:2C2^2480,991
C15⋊C8⋊3C22 = S3×C22.F5φ: C22/C1 → C22 ⊆ Out C15⋊C81208-C15:C8:3C2^2480,1004
C15⋊C8⋊4C22 = D15⋊2M4(2)φ: C22/C1 → C22 ⊆ Out C15⋊C81208+C15:C8:4C2^2480,1007
C15⋊C8⋊5C22 = S3×D5⋊C8φ: C22/C2 → C2 ⊆ Out C15⋊C81208C15:C8:5C2^2480,986
C15⋊C8⋊6C22 = C5⋊C8⋊D6φ: C22/C2 → C2 ⊆ Out C15⋊C81208C15:C8:6C2^2480,993
C15⋊C8⋊7C22 = C2×S3×C5⋊C8φ: C22/C2 → C2 ⊆ Out C15⋊C8240C15:C8:7C2^2480,1002
C15⋊C8⋊8C22 = C2×D15⋊C8φ: C22/C2 → C2 ⊆ Out C15⋊C8240C15:C8:8C2^2480,1006
C15⋊C8⋊9C22 = C2×D6.F5φ: C22/C2 → C2 ⊆ Out C15⋊C8240C15:C8:9C2^2480,1008
C15⋊C8⋊10C22 = C2×Dic3.F5φ: C22/C2 → C2 ⊆ Out C15⋊C8240C15:C8:10C2^2480,1009
C15⋊C8⋊11C22 = C2×C12.F5φ: C22/C2 → C2 ⊆ Out C15⋊C8240C15:C8:11C2^2480,1061
C15⋊C8⋊12C22 = C60.59(C2×C4)φ: C22/C2 → C2 ⊆ Out C15⋊C81204C15:C8:12C2^2480,1062
C15⋊C8⋊13C22 = C2×C15⋊8M4(2)φ: C22/C2 → C2 ⊆ Out C15⋊C8240C15:C8:13C2^2480,1071
C15⋊C8⋊14C22 = C2×C60.C4φ: trivial image240C15:C8:14C2^2480,1060

Non-split extensions G=N.Q with N=C15⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C15⋊C8.1C22 = D12.2F5φ: C22/C1 → C22 ⊆ Out C15⋊C82408-C15:C8.1C2^2480,987
C15⋊C8.2C22 = D60.C4φ: C22/C1 → C22 ⊆ Out C15⋊C82408+C15:C8.2C2^2480,990
C15⋊C8.3C22 = C5⋊C8.D6φ: C22/C1 → C22 ⊆ Out C15⋊C82408C15:C8.3C2^2480,1003
C15⋊C8.4C22 = D12.F5φ: C22/C2 → C2 ⊆ Out C15⋊C82408-C15:C8.4C2^2480,989
C15⋊C8.5C22 = Dic6.F5φ: C22/C2 → C2 ⊆ Out C15⋊C82408+C15:C8.5C2^2480,992
C15⋊C8.6C22 = D15⋊C8⋊C2φ: C22/C2 → C2 ⊆ Out C15⋊C82408C15:C8.6C2^2480,1005
C15⋊C8.7C22 = Dic10.Dic3φ: C22/C2 → C2 ⊆ Out C15⋊C82408C15:C8.7C2^2480,1066
C15⋊C8.8C22 = D20.Dic3φ: C22/C2 → C2 ⊆ Out C15⋊C82408C15:C8.8C2^2480,1068

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