Extensions 1→N→G→Q→1 with N=Dic9⋊C4 and Q=C2

Direct product G=N×Q with N=Dic9⋊C4 and Q=C2
dρLabelID
C2×Dic9⋊C4288C2xDic9:C4288,133

Semidirect products G=N:Q with N=Dic9⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic9⋊C41C2 = C423D9φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:1C2288,86
Dic9⋊C42C2 = C36.49D4φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:2C2288,134
Dic9⋊C43C2 = C23.28D18φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:3C2288,139
Dic9⋊C44C2 = C222Dic18φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:4C2288,88
Dic9⋊C45C2 = D18⋊D4φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:5C2288,94
Dic9⋊C46C2 = D18.D4φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:6C2288,104
Dic9⋊C47C2 = C23.16D18φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:7C2288,87
Dic9⋊C48C2 = C23.8D18φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:8C2288,89
Dic9⋊C49C2 = Dic94D4φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:9C2288,91
Dic9⋊C410C2 = C23.9D18φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:10C2288,93
Dic9⋊C411C2 = C4⋊C4×D9φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:11C2288,101
Dic9⋊C412C2 = D18⋊Q8φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:12C2288,106
Dic9⋊C413C2 = C4⋊C4⋊D9φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:13C2288,108
Dic9⋊C414C2 = C23.23D18φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:14C2288,145
Dic9⋊C415C2 = Dic9⋊D4φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:15C2288,149
Dic9⋊C416C2 = D183Q8φ: C2/C1C2 ⊆ Out Dic9⋊C4144Dic9:C4:16C2288,156
Dic9⋊C417C2 = C422D9φ: trivial image144Dic9:C4:17C2288,82
Dic9⋊C418C2 = C4×C9⋊D4φ: trivial image144Dic9:C4:18C2288,138

Non-split extensions G=N.Q with N=Dic9⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic9⋊C4.1C2 = C36.6Q8φ: C2/C1C2 ⊆ Out Dic9⋊C4288Dic9:C4.1C2288,80
Dic9⋊C4.2C2 = C36⋊Q8φ: C2/C1C2 ⊆ Out Dic9⋊C4288Dic9:C4.2C2288,98
Dic9⋊C4.3C2 = Dic9.Q8φ: C2/C1C2 ⊆ Out Dic9⋊C4288Dic9:C4.3C2288,99
Dic9⋊C4.4C2 = C36.3Q8φ: C2/C1C2 ⊆ Out Dic9⋊C4288Dic9:C4.4C2288,100
Dic9⋊C4.5C2 = Dic93Q8φ: C2/C1C2 ⊆ Out Dic9⋊C4288Dic9:C4.5C2288,97
Dic9⋊C4.6C2 = Dic9⋊Q8φ: C2/C1C2 ⊆ Out Dic9⋊C4288Dic9:C4.6C2288,154
Dic9⋊C4.7C2 = C4×Dic18φ: trivial image288Dic9:C4.7C2288,78

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