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Extensions 1→N→G→Q→1 with N=C22×Dic15 and Q=C2

Direct product G=N×Q with N=C22×Dic15 and Q=C2
dρLabelID
C23×Dic15480C2^3xDic15480,1178

Semidirect products G=N:Q with N=C22×Dic15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×Dic15)⋊1C2 = Dic15⋊19D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):1C2480,846
(C22×Dic15)⋊2C2 = C22.D60φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):2C2480,851
(C22×Dic15)⋊3C2 = C2×D30⋊3C4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):3C2480,892
(C22×Dic15)⋊4C2 = D4×Dic15φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):4C2480,899
(C22×Dic15)⋊5C2 = C23.22D30φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):5C2480,900
(C22×Dic15)⋊6C2 = Dic15⋊12D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):6C2480,904
(C22×Dic15)⋊7C2 = C2×C30.38D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):7C2480,917
(C22×Dic15)⋊8C2 = C2×D4⋊2D15φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):8C2480,1170
(C22×Dic15)⋊9C2 = C22×C15⋊7D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):9C2480,1179
(C22×Dic15)⋊10C2 = C2×D10⋊Dic3φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):10C2480,611
(C22×Dic15)⋊11C2 = C6.(C2×D20)φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):11C2480,613
(C22×Dic15)⋊12C2 = C2×D6⋊Dic5φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):12C2480,614
(C22×Dic15)⋊13C2 = (C2×C10).D12φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):13C2480,619
(C22×Dic15)⋊14C2 = Dic15⋊16D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):14C2480,635
(C22×Dic15)⋊15C2 = Dic15⋊17D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):15C2480,636
(C22×Dic15)⋊16C2 = Dic15⋊18D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):16C2480,647
(C22×Dic15)⋊17C2 = C22×D5×Dic3φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):17C2480,1112
(C22×Dic15)⋊18C2 = C2×C30.C23φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):18C2480,1114
(C22×Dic15)⋊19C2 = C22×S3×Dic5φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):19C2480,1115
(C22×Dic15)⋊20C2 = C22×C15⋊D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15):20C2480,1118
(C22×Dic15)⋊21C2 = C22×C4×D15φ: trivial image240(C2^2xDic15):21C2480,1166

Non-split extensions G=N.Q with N=C22×Dic15 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×Dic15).1C2 = C30.29C42φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).1C2480,191
(C22×Dic15).2C2 = C23.15D30φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15).2C2480,842
(C22×Dic15).3C2 = C22⋊2Dic30φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15).3C2480,843
(C22×Dic15).4C2 = C2×C30.4Q8φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).4C2480,888
(C22×Dic15).5C2 = C2×C60⋊5C4φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).5C2480,890
(C22×Dic15).6C2 = C22×Dic30φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).6C2480,1165
(C22×Dic15).7C2 = C30.24C42φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).7C2480,70
(C22×Dic15).8C2 = C2×Dic3×Dic5φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).8C2480,603
(C22×Dic15).9C2 = C23.48(S3×D5)φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15).9C2480,608
(C22×Dic15).10C2 = C2×C30.Q8φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).10C2480,617
(C22×Dic15).11C2 = C2×Dic15⋊5C4φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).11C2480,620
(C22×Dic15).12C2 = C2×C6.Dic10φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).12C2480,621
(C22×Dic15).13C2 = Dic15.48D4φ: C2/C1 → C2 ⊆ Out C22×Dic15240(C2^2xDic15).13C2480,652
(C22×Dic15).14C2 = C22×C15⋊Q8φ: C2/C1 → C2 ⊆ Out C22×Dic15480(C2^2xDic15).14C2480,1121
(C22×Dic15).15C2 = C2×C4×Dic15φ: trivial image480(C2^2xDic15).15C2480,887

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