# Extensions 1→N→G→Q→1 with N=D30.C2 and Q=C22

Direct product G=N×Q with N=D30.C2 and Q=C22
dρLabelID
C22×D30.C2240C2^2xD30.C2480,1117

Semidirect products G=N:Q with N=D30.C2 and Q=C22
extensionφ:Q→Out NdρLabelID
D30.C21C22 = D2029D6φ: C22/C1C22 ⊆ Out D30.C21204+D30.C2:1C2^2480,1095
D30.C22C22 = D2014D6φ: C22/C1C22 ⊆ Out D30.C21208+D30.C2:2C2^2480,1102
D30.C23C22 = D1214D10φ: C22/C1C22 ⊆ Out D30.C21208+D30.C2:3C2^2480,1103
D30.C24C22 = C15⋊2+ 1+4φ: C22/C1C22 ⊆ Out D30.C21204D30.C2:4C2^2480,1125
D30.C25C22 = C2×D60⋊C2φ: C22/C2C2 ⊆ Out D30.C2240D30.C2:5C2^2480,1081
D30.C26C22 = C2×C12.28D10φ: C22/C2C2 ⊆ Out D30.C2240D30.C2:6C2^2480,1085
D30.C27C22 = D5×C4○D12φ: C22/C2C2 ⊆ Out D30.C21204D30.C2:7C2^2480,1090
D30.C28C22 = S3×C4○D20φ: C22/C2C2 ⊆ Out D30.C21204D30.C2:8C2^2480,1091
D30.C29C22 = S3×D4×D5φ: C22/C2C2 ⊆ Out D30.C2608+D30.C2:9C2^2480,1097
D30.C210C22 = D5×D42S3φ: C22/C2C2 ⊆ Out D30.C21208-D30.C2:10C2^2480,1098
D30.C211C22 = S3×D42D5φ: C22/C2C2 ⊆ Out D30.C21208-D30.C2:11C2^2480,1099
D30.C212C22 = D30.C23φ: C22/C2C2 ⊆ Out D30.C21208+D30.C2:12C2^2480,1100
D30.C213C22 = D5×Q83S3φ: C22/C2C2 ⊆ Out D30.C21208+D30.C2:13C2^2480,1108
D30.C214C22 = S3×Q82D5φ: C22/C2C2 ⊆ Out D30.C21208+D30.C2:14C2^2480,1109
D30.C215C22 = C2×Dic5.D6φ: C22/C2C2 ⊆ Out D30.C2240D30.C2:15C2^2480,1113
D30.C216C22 = C2×Dic3.D10φ: C22/C2C2 ⊆ Out D30.C2240D30.C2:16C2^2480,1116
D30.C217C22 = C2×D10⋊D6φ: C22/C2C2 ⊆ Out D30.C2120D30.C2:17C2^2480,1124
D30.C218C22 = S3×C2×C4×D5φ: trivial image120D30.C2:18C2^2480,1086

Non-split extensions G=N.Q with N=D30.C2 and Q=C22
extensionφ:Q→Out NdρLabelID
D30.C2.1C22 = D20.38D6φ: C22/C1C22 ⊆ Out D30.C22404D30.C2.1C2^2480,1076
D30.C2.2C22 = C30.C24φ: C22/C1C22 ⊆ Out D30.C22404D30.C2.2C2^2480,1080
D30.C2.3C22 = C15⋊2- 1+4φ: C22/C1C22 ⊆ Out D30.C22408-D30.C2.3C2^2480,1096
D30.C2.4C22 = C30.33C24φ: C22/C1C22 ⊆ Out D30.C22408+D30.C2.4C2^2480,1105
D30.C2.5C22 = D60.C4φ: C22/C1C22 ⊆ Out D30.C22408+D30.C2.5C2^2480,990
D30.C2.6C22 = Dic6.F5φ: C22/C1C22 ⊆ Out D30.C22408+D30.C2.6C2^2480,992
D30.C2.7C22 = C5⋊C8.D6φ: C22/C1C22 ⊆ Out D30.C22408D30.C2.7C2^2480,1003
D30.C2.8C22 = D15⋊C8⋊C2φ: C22/C1C22 ⊆ Out D30.C22408D30.C2.8C2^2480,1005
D30.C2.9C22 = C2×D15⋊Q8φ: C22/C2C2 ⊆ Out D30.C2240D30.C2.9C2^2480,1082
D30.C2.10C22 = D2024D6φ: C22/C2C2 ⊆ Out D30.C21204D30.C2.10C2^2480,1092
D30.C2.11C22 = S3×Q8×D5φ: C22/C2C2 ⊆ Out D30.C21208-D30.C2.11C2^2480,1107
D30.C2.12C22 = S3×D5⋊C8φ: C22/C2C2 ⊆ Out D30.C21208D30.C2.12C2^2480,986
D30.C2.13C22 = S3×C4.F5φ: C22/C2C2 ⊆ Out D30.C21208D30.C2.13C2^2480,988
D30.C2.14C22 = D15⋊M4(2)φ: C22/C2C2 ⊆ Out D30.C21208D30.C2.14C2^2480,991
D30.C2.15C22 = C5⋊C8⋊D6φ: C22/C2C2 ⊆ Out D30.C21208D30.C2.15C2^2480,993
D30.C2.16C22 = C2×D15⋊C8φ: C22/C2C2 ⊆ Out D30.C2240D30.C2.16C2^2480,1006
D30.C2.17C22 = D152M4(2)φ: C22/C2C2 ⊆ Out D30.C21208+D30.C2.17C2^2480,1007
D30.C2.18C22 = C2×Dic3.F5φ: C22/C2C2 ⊆ Out D30.C2240D30.C2.18C2^2480,1009
D30.C2.19C22 = D2016D6φ: trivial image1208-D30.C2.19C2^2480,1110

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