Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×D₅

Direct product G=N×Q with N=C₂² and Q=C₂²×D₅

		d	ρ	Label	ID
D₅×C₂⁴		80		D5xC2^4	160,237

Semidirect products G=N:Q with N=C₂² and Q=C₂²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂²×D₅) = C₂×D₄×D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₂²	40		C2^2:1(C2^2xD5)	160,217
C₂²⋊₂(C₂²×D₅) = C₂²×C₅⋊D₄	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₂²	80		C2^2:2(C2^2xD5)	160,227

Non-split extensions G=N.Q with N=C₂² and Q=C₂²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²×D₅) = C₂×D₄⋊₂D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.1(C2^2xD5)	160,218
C₂².₂(C₂²×D₅) = D₅×C₄○D₄	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.2(C2^2xD5)	160,223
C₂².₃(C₂²×D₅) = D₄⋊₈D₁₀	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₂²	40	4+	C2^2.3(C2^2xD5)	160,224
C₂².₄(C₂²×D₅) = D₄.₁₀D₁₀	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₂²	80	4-	C2^2.4(C2^2xD5)	160,225
C₂².₅(C₂²×D₅) = C₂×C₄○D₂₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.5(C2^2xD5)	160,216
C₂².₆(C₂²×D₅) = D₄⋊₆D₁₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.6(C2^2xD5)	160,219
C₂².₇(C₂²×D₅) = Q₈.₁₀D₁₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.7(C2^2xD5)	160,222
C₂².₈(C₂²×D₅) = C₄×Dic₁₀	central extension (φ=1)	160		C2^2.8(C2^2xD5)	160,89
C₂².₉(C₂²×D₅) = D₅×C₄²	central extension (φ=1)	80		C2^2.9(C2^2xD5)	160,92
C₂².₁₀(C₂²×D₅) = C₄²⋊D₅	central extension (φ=1)	80		C2^2.10(C2^2xD5)	160,93
C₂².₁₁(C₂²×D₅) = C₄×D₂₀	central extension (φ=1)	80		C2^2.11(C2^2xD5)	160,94
C₂².₁₂(C₂²×D₅) = C₂³.₁₁D₁₀	central extension (φ=1)	80		C2^2.12(C2^2xD5)	160,98
C₂².₁₃(C₂²×D₅) = D₅×C₂²⋊C₄	central extension (φ=1)	40		C2^2.13(C2^2xD5)	160,101
C₂².₁₄(C₂²×D₅) = Dic₅⋊₄D₄	central extension (φ=1)	80		C2^2.14(C2^2xD5)	160,102
C₂².₁₅(C₂²×D₅) = Dic₅⋊₃Q₈	central extension (φ=1)	160		C2^2.15(C2^2xD5)	160,108
C₂².₁₆(C₂²×D₅) = D₅×C₄⋊C₄	central extension (φ=1)	80		C2^2.16(C2^2xD5)	160,112
C₂².₁₇(C₂²×D₅) = C₄⋊C₄⋊₇D₅	central extension (φ=1)	80		C2^2.17(C2^2xD5)	160,113
C₂².₁₈(C₂²×D₅) = D₂₀⋊₈C₄	central extension (φ=1)	80		C2^2.18(C2^2xD5)	160,114
C₂².₁₉(C₂²×D₅) = C₂×C₄×Dic₅	central extension (φ=1)	160		C2^2.19(C2^2xD5)	160,143
C₂².₂₀(C₂²×D₅) = C₂×C₁₀.D₄	central extension (φ=1)	160		C2^2.20(C2^2xD5)	160,144
C₂².₂₁(C₂²×D₅) = C₂×C₄⋊Dic₅	central extension (φ=1)	160		C2^2.21(C2^2xD5)	160,146
C₂².₂₂(C₂²×D₅) = C₂³.₂₁D₁₀	central extension (φ=1)	80		C2^2.22(C2^2xD5)	160,147
C₂².₂₃(C₂²×D₅) = C₂×D₁₀⋊C₄	central extension (φ=1)	80		C2^2.23(C2^2xD5)	160,148
C₂².₂₄(C₂²×D₅) = C₄×C₅⋊D₄	central extension (φ=1)	80		C2^2.24(C2^2xD5)	160,149
C₂².₂₅(C₂²×D₅) = D₄×Dic₅	central extension (φ=1)	80		C2^2.25(C2^2xD5)	160,155
C₂².₂₆(C₂²×D₅) = Q₈×Dic₅	central extension (φ=1)	160		C2^2.26(C2^2xD5)	160,166
C₂².₂₇(C₂²×D₅) = C₂×C₂³.D₅	central extension (φ=1)	80		C2^2.27(C2^2xD5)	160,173
C₂².₂₈(C₂²×D₅) = C₂²×Dic₁₀	central extension (φ=1)	160		C2^2.28(C2^2xD5)	160,213
C₂².₂₉(C₂²×D₅) = D₅×C₂²×C₄	central extension (φ=1)	80		C2^2.29(C2^2xD5)	160,214
C₂².₃₀(C₂²×D₅) = C₂²×D₂₀	central extension (φ=1)	80		C2^2.30(C2^2xD5)	160,215
C₂².₃₁(C₂²×D₅) = C₂×Q₈×D₅	central extension (φ=1)	80		C2^2.31(C2^2xD5)	160,220
C₂².₃₂(C₂²×D₅) = C₂×Q₈⋊₂D₅	central extension (φ=1)	80		C2^2.32(C2^2xD5)	160,221
C₂².₃₃(C₂²×D₅) = C₂³×Dic₅	central extension (φ=1)	160		C2^2.33(C2^2xD5)	160,226
C₂².₃₄(C₂²×D₅) = C₂₀⋊₂Q₈	central stem extension (φ=1)	160		C2^2.34(C2^2xD5)	160,90
C₂².₃₅(C₂²×D₅) = C₂₀.₆Q₈	central stem extension (φ=1)	160		C2^2.35(C2^2xD5)	160,91
C₂².₃₆(C₂²×D₅) = C₂₀⋊₄D₄	central stem extension (φ=1)	80		C2^2.36(C2^2xD5)	160,95
C₂².₃₇(C₂²×D₅) = C₄.D₂₀	central stem extension (φ=1)	80		C2^2.37(C2^2xD5)	160,96
C₂².₃₈(C₂²×D₅) = C₄²⋊₂D₅	central stem extension (φ=1)	80		C2^2.38(C2^2xD5)	160,97
C₂².₃₉(C₂²×D₅) = Dic₅.₁₄D₄	central stem extension (φ=1)	80		C2^2.39(C2^2xD5)	160,99
C₂².₄₀(C₂²×D₅) = C₂³.D₁₀	central stem extension (φ=1)	80		C2^2.40(C2^2xD5)	160,100
C₂².₄₁(C₂²×D₅) = C₂²⋊D₂₀	central stem extension (φ=1)	40		C2^2.41(C2^2xD5)	160,103
C₂².₄₂(C₂²×D₅) = D₁₀.₁₂D₄	central stem extension (φ=1)	80		C2^2.42(C2^2xD5)	160,104
C₂².₄₃(C₂²×D₅) = D₁₀⋊D₄	central stem extension (φ=1)	80		C2^2.43(C2^2xD5)	160,105
C₂².₄₄(C₂²×D₅) = Dic₅.₅D₄	central stem extension (φ=1)	80		C2^2.44(C2^2xD5)	160,106
C₂².₄₅(C₂²×D₅) = C₂².D₂₀	central stem extension (φ=1)	80		C2^2.45(C2^2xD5)	160,107
C₂².₄₆(C₂²×D₅) = C₂₀⋊Q₈	central stem extension (φ=1)	160		C2^2.46(C2^2xD5)	160,109
C₂².₄₇(C₂²×D₅) = Dic₅.Q₈	central stem extension (φ=1)	160		C2^2.47(C2^2xD5)	160,110
C₂².₄₈(C₂²×D₅) = C₄.Dic₁₀	central stem extension (φ=1)	160		C2^2.48(C2^2xD5)	160,111
C₂².₄₉(C₂²×D₅) = D₁₀.₁₃D₄	central stem extension (φ=1)	80		C2^2.49(C2^2xD5)	160,115
C₂².₅₀(C₂²×D₅) = C₄⋊D₂₀	central stem extension (φ=1)	80		C2^2.50(C2^2xD5)	160,116
C₂².₅₁(C₂²×D₅) = D₁₀⋊Q₈	central stem extension (φ=1)	80		C2^2.51(C2^2xD5)	160,117
C₂².₅₂(C₂²×D₅) = D₁₀⋊₂Q₈	central stem extension (φ=1)	80		C2^2.52(C2^2xD5)	160,118
C₂².₅₃(C₂²×D₅) = C₄⋊C₄⋊D₅	central stem extension (φ=1)	80		C2^2.53(C2^2xD5)	160,119
C₂².₅₄(C₂²×D₅) = C₂₀.₄₈D₄	central stem extension (φ=1)	80		C2^2.54(C2^2xD5)	160,145
C₂².₅₅(C₂²×D₅) = C₂³.₂₃D₁₀	central stem extension (φ=1)	80		C2^2.55(C2^2xD5)	160,150
C₂².₅₆(C₂²×D₅) = C₂₀⋊₇D₄	central stem extension (φ=1)	80		C2^2.56(C2^2xD5)	160,151
C₂².₅₇(C₂²×D₅) = C₂³.₁₈D₁₀	central stem extension (φ=1)	80		C2^2.57(C2^2xD5)	160,156
C₂².₅₈(C₂²×D₅) = C₂₀.₁₇D₄	central stem extension (φ=1)	80		C2^2.58(C2^2xD5)	160,157
C₂².₅₉(C₂²×D₅) = C₂³⋊D₁₀	central stem extension (φ=1)	40		C2^2.59(C2^2xD5)	160,158
C₂².₆₀(C₂²×D₅) = C₂₀⋊₂D₄	central stem extension (φ=1)	80		C2^2.60(C2^2xD5)	160,159
C₂².₆₁(C₂²×D₅) = Dic₅⋊D₄	central stem extension (φ=1)	80		C2^2.61(C2^2xD5)	160,160
C₂².₆₂(C₂²×D₅) = C₂₀⋊D₄	central stem extension (φ=1)	80		C2^2.62(C2^2xD5)	160,161
C₂².₆₃(C₂²×D₅) = Dic₅⋊Q₈	central stem extension (φ=1)	160		C2^2.63(C2^2xD5)	160,165
C₂².₆₄(C₂²×D₅) = D₁₀⋊₃Q₈	central stem extension (φ=1)	80		C2^2.64(C2^2xD5)	160,167
C₂².₆₅(C₂²×D₅) = C₂₀.₂₃D₄	central stem extension (φ=1)	80		C2^2.65(C2^2xD5)	160,168
C₂².₆₆(C₂²×D₅) = C₂⁴⋊₂D₅	central stem extension (φ=1)	40		C2^2.66(C2^2xD5)	160,174

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C22×D5

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×D₅