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

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

Semidirect products G=N:Q with N=C2×D30.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D30.C2)⋊1C2 = D30.D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):1C2480,432
(C2×D30.C2)⋊2C2 = Dic3⋊4D20φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):2C2480,471
(C2×D30.C2)⋊3C2 = Dic5⋊4D12φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):3C2480,481
(C2×D30.C2)⋊4C2 = D60⋊17C4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):4C2480,494
(C2×D30.C2)⋊5C2 = D30⋊D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):5C2480,496
(C2×D30.C2)⋊6C2 = D60⋊14C4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):6C2480,504
(C2×D30.C2)⋊7C2 = D30.6D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):7C2480,509
(C2×D30.C2)⋊8C2 = D30.7D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):8C2480,514
(C2×D30.C2)⋊9C2 = C15⋊20(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):9C2480,520
(C2×D30.C2)⋊10C2 = C15⋊22(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):10C2480,522
(C2×D30.C2)⋊11C2 = D30⋊2D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):11C2480,535
(C2×D30.C2)⋊12C2 = D30.27D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2120(C2xD30.C2):12C2480,549
(C2×D30.C2)⋊13C2 = D30⋊6D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):13C2480,609
(C2×D30.C2)⋊14C2 = C15⋊26(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):14C2480,628
(C2×D30.C2)⋊15C2 = C15⋊28(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):15C2480,632
(C2×D30.C2)⋊16C2 = D30⋊7D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):16C2480,633
(C2×D30.C2)⋊17C2 = D30.45D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2120(C2xD30.C2):17C2480,637
(C2×D30.C2)⋊18C2 = D30.16D4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):18C2480,638
(C2×D30.C2)⋊19C2 = C2×D60⋊C2φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):19C2480,1081
(C2×D30.C2)⋊20C2 = C2×C12.28D10φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):20C2480,1085
(C2×D30.C2)⋊21C2 = D30.C23φ: C2/C1 → C2 ⊆ Out C2×D30.C21208+(C2xD30.C2):21C2480,1100
(C2×D30.C2)⋊22C2 = C2×Dic5.D6φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):22C2480,1113
(C2×D30.C2)⋊23C2 = C2×Dic3.D10φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2):23C2480,1116
(C2×D30.C2)⋊24C2 = C2×D10⋊D6φ: C2/C1 → C2 ⊆ Out C2×D30.C2120(C2xD30.C2):24C2480,1124
(C2×D30.C2)⋊25C2 = S3×C2×C4×D5φ: trivial image120(C2xD30.C2):25C2480,1086

Non-split extensions G=N.Q with N=C2×D30.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D30.C2).1C2 = D30.C2⋊C4φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).1C2480,478
(C2×D30.C2).2C2 = D30.23(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).2C2480,479
(C2×D30.C2).3C2 = D30.Q8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).3C2480,480
(C2×D30.C2).4C2 = D30⋊Q8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).4C2480,487
(C2×D30.C2).5C2 = D30⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).5C2480,495
(C2×D30.C2).6C2 = D30⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).6C2480,500
(C2×D30.C2).7C2 = D30⋊4Q8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).7C2480,505
(C2×D30.C2).8C2 = D30.2Q8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).8C2480,513
(C2×D30.C2).9C2 = C2×D15⋊Q8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).9C2480,1082
(C2×D30.C2).10C2 = D30⋊C8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).10C2480,247
(C2×D30.C2).11C2 = C2×D15⋊C8φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).11C2480,1006
(C2×D30.C2).12C2 = D15⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C2×D30.C21208+(C2xD30.C2).12C2480,1007
(C2×D30.C2).13C2 = C2×Dic3.F5φ: C2/C1 → C2 ⊆ Out C2×D30.C2240(C2xD30.C2).13C2480,1009
(C2×D30.C2).14C2 = C4×D30.C2φ: trivial image240(C2xD30.C2).14C2480,477

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