Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂×C₁₀

Direct product G=N×Q with N=C₄² and Q=C₂×C₁₀

		d	ρ	Label	ID
C₂²×C₄×C₂₀		320		C2^2xC4xC20	320,1513

Semidirect products G=N:Q with N=C₄² and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁(C₂×C₁₀) = C₅×C₄²⋊C₂²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80	4	C4^2:1(C2xC10)	320,922
C₄²⋊₂(C₂×C₁₀) = C₅×D₄⋊₄D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	40	4	C4^2:2(C2xC10)	320,954
C₄²⋊₃(C₂×C₁₀) = C₅×D₄.₉D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80	4	C4^2:3(C2xC10)	320,956
C₄²⋊₄(C₂×C₁₀) = C₅×C₂².₁₁C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:4(C2xC10)	320,1520
C₄²⋊₅(C₂×C₁₀) = C₅×C₂².₁₉C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:5(C2xC10)	320,1527
C₄²⋊₆(C₂×C₁₀) = C₅×C₂².₂₉C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:6(C2xC10)	320,1537
C₄²⋊₇(C₂×C₁₀) = C₅×C₂².₃₂C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:7(C2xC10)	320,1540
C₄²⋊₈(C₂×C₁₀) = C₅×D₄²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:8(C2xC10)	320,1547
C₄²⋊₉(C₂×C₁₀) = C₅×D₄⋊₅D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:9(C2xC10)	320,1548
C₄²⋊₁₀(C₂×C₁₀) = C₅×C₂².₄₅C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:10(C2xC10)	320,1553
C₄²⋊₁₁(C₂×C₁₀) = C₅×C₂².₅₄C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:11(C2xC10)	320,1562
C₄²⋊₁₂(C₂×C₁₀) = C₅×C₂⁴⋊C₂²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80		C4^2:12(C2xC10)	320,1563
C₄²⋊₁₃(C₂×C₁₀) = C₁₀×C₄²⋊C₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2:13(C2xC10)	320,1516
C₄²⋊₁₄(C₂×C₁₀) = C₁₀×C₄²⋊₂C₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2:14(C2xC10)	320,1530
C₄²⋊₁₅(C₂×C₁₀) = C₁₀×C₄≀C₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	80		C4^2:15(C2xC10)	320,921
C₄²⋊₁₆(C₂×C₁₀) = D₄×C₂×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2:16(C2xC10)	320,1517
C₄²⋊₁₇(C₂×C₁₀) = C₁₀×C₄.₄D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2:17(C2xC10)	320,1528
C₄²⋊₁₈(C₂×C₁₀) = C₁₀×C₄⋊₁D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2:18(C2xC10)	320,1532

Non-split extensions G=N.Q with N=C₄² and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁(C₂×C₁₀) = C₅×C₄².C₂²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.1(C2xC10)	320,134
C₄².₂(C₂×C₁₀) = C₅×C₄².₂C₂²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.2(C2xC10)	320,135
C₄².₃(C₂×C₁₀) = C₅×C₄.D₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.3(C2xC10)	320,136
C₄².₄(C₂×C₁₀) = C₅×C₄.₁₀D₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.4(C2xC10)	320,137
C₄².₅(C₂×C₁₀) = C₅×C₄.₆Q₁₆	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.5(C2xC10)	320,138
C₄².₆(C₂×C₁₀) = C₅×C₄².₆C₂²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.6(C2xC10)	320,925
C₄².₇(C₂×C₁₀) = C₅×C₈⋊₉D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.7(C2xC10)	320,936
C₄².₈(C₂×C₁₀) = C₅×SD₁₆⋊C₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.8(C2xC10)	320,941
C₄².₉(C₂×C₁₀) = C₅×Q₁₆⋊C₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.9(C2xC10)	320,942
C₄².₁₀(C₂×C₁₀) = C₅×D₈⋊C₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.10(C2xC10)	320,943
C₄².₁₁(C₂×C₁₀) = C₅×C₈.₂₆D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80	4	C4^2.11(C2xC10)	320,945
C₄².₁₂(C₂×C₁₀) = C₅×D₄.₈D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80	4	C4^2.12(C2xC10)	320,955
C₄².₁₃(C₂×C₁₀) = C₅×D₄.₁₀D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	80	4	C4^2.13(C2xC10)	320,957
C₄².₁₄(C₂×C₁₀) = C₅×C₄⋊D₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.14(C2xC10)	320,960
C₄².₁₅(C₂×C₁₀) = C₅×C₄⋊SD₁₆	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.15(C2xC10)	320,961
C₄².₁₆(C₂×C₁₀) = C₅×D₄.D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.16(C2xC10)	320,962
C₄².₁₇(C₂×C₁₀) = C₅×C₄⋊₂Q₁₆	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.17(C2xC10)	320,963
C₄².₁₈(C₂×C₁₀) = C₅×D₄.₂D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.18(C2xC10)	320,964
C₄².₁₉(C₂×C₁₀) = C₅×Q₈.D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.19(C2xC10)	320,965
C₄².₂₀(C₂×C₁₀) = C₅×D₄⋊Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.20(C2xC10)	320,975
C₄².₂₁(C₂×C₁₀) = C₅×Q₈⋊Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.21(C2xC10)	320,976
C₄².₂₂(C₂×C₁₀) = C₅×D₄⋊₂Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.22(C2xC10)	320,977
C₄².₂₃(C₂×C₁₀) = C₅×C₄.Q₁₆	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.23(C2xC10)	320,978
C₄².₂₄(C₂×C₁₀) = C₅×D₄.Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.24(C2xC10)	320,979
C₄².₂₅(C₂×C₁₀) = C₅×Q₈.Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.25(C2xC10)	320,980
C₄².₂₆(C₂×C₁₀) = C₅×C₄².₂₈C₂²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.26(C2xC10)	320,990
C₄².₂₇(C₂×C₁₀) = C₅×C₄².₂₉C₂²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.27(C2xC10)	320,991
C₄².₂₈(C₂×C₁₀) = C₅×C₄².₃₀C₂²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.28(C2xC10)	320,992
C₄².₂₉(C₂×C₁₀) = C₅×C₈⋊₃D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.29(C2xC10)	320,997
C₄².₃₀(C₂×C₁₀) = C₅×C₈.₂D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.30(C2xC10)	320,998
C₄².₃₁(C₂×C₁₀) = C₅×C₈⋊Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.31(C2xC10)	320,1002
C₄².₃₂(C₂×C₁₀) = C₅×C₂³.₃₂C₂³	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.32(C2xC10)	320,1521
C₄².₃₃(C₂×C₁₀) = C₅×C₂³.₃₃C₂³	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.33(C2xC10)	320,1522
C₄².₃₄(C₂×C₁₀) = C₅×C₂³.₃₆C₂³	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.34(C2xC10)	320,1531
C₄².₃₅(C₂×C₁₀) = C₅×C₂³.₃₇C₂³	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.35(C2xC10)	320,1535
C₄².₃₆(C₂×C₁₀) = C₅×C₂³.₃₈C₂³	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.36(C2xC10)	320,1538
C₄².₃₇(C₂×C₁₀) = C₅×C₂².₃₃C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.37(C2xC10)	320,1541
C₄².₃₈(C₂×C₁₀) = C₅×C₂².₃₄C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.38(C2xC10)	320,1542
C₄².₃₉(C₂×C₁₀) = C₅×C₂².₃₅C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.39(C2xC10)	320,1543
C₄².₄₀(C₂×C₁₀) = C₅×C₂².₃₆C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.40(C2xC10)	320,1544
C₄².₄₁(C₂×C₁₀) = C₅×C₂³.₄₁C₂³	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.41(C2xC10)	320,1546
C₄².₄₂(C₂×C₁₀) = C₅×D₄⋊₆D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.42(C2xC10)	320,1549
C₄².₄₃(C₂×C₁₀) = C₅×Q₈⋊₅D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.43(C2xC10)	320,1550
C₄².₄₄(C₂×C₁₀) = C₅×D₄×Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.44(C2xC10)	320,1551
C₄².₄₅(C₂×C₁₀) = C₅×Q₈⋊₆D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.45(C2xC10)	320,1552
C₄².₄₆(C₂×C₁₀) = C₅×C₂².₄₆C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.46(C2xC10)	320,1554
C₄².₄₇(C₂×C₁₀) = C₅×C₂².₄₇C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.47(C2xC10)	320,1555
C₄².₄₈(C₂×C₁₀) = C₅×D₄⋊₃Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.48(C2xC10)	320,1556
C₄².₄₉(C₂×C₁₀) = C₅×C₂².₄₉C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.49(C2xC10)	320,1557
C₄².₅₀(C₂×C₁₀) = C₅×C₂².₅₀C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.50(C2xC10)	320,1558
C₄².₅₁(C₂×C₁₀) = C₅×Q₈⋊₃Q₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.51(C2xC10)	320,1559
C₄².₅₂(C₂×C₁₀) = C₅×Q₈²	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.52(C2xC10)	320,1560
C₄².₅₃(C₂×C₁₀) = C₅×C₂².₅₃C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.53(C2xC10)	320,1561
C₄².₅₄(C₂×C₁₀) = C₅×C₂².₅₆C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.54(C2xC10)	320,1564
C₄².₅₅(C₂×C₁₀) = C₅×C₂².₅₇C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	160		C4^2.55(C2xC10)	320,1565
C₄².₅₆(C₂×C₁₀) = C₅×C₂².₅₈C₂⁴	φ: C₂×C₁₀/C₅ → C₂² ⊆ Aut C₄²	320		C4^2.56(C2xC10)	320,1566
C₄².₅₇(C₂×C₁₀) = C₁₀×C₈⋊C₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.57(C2xC10)	320,904
C₄².₅₈(C₂×C₁₀) = M₄(2)×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.58(C2xC10)	320,905
C₄².₅₉(C₂×C₁₀) = C₅×C₈○₂M₄(2)	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.59(C2xC10)	320,906
C₄².₆₀(C₂×C₁₀) = C₅×C₄².₆C₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.60(C2xC10)	320,933
C₄².₆₁(C₂×C₁₀) = C₅×C₄².₇C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.61(C2xC10)	320,934
C₄².₆₂(C₂×C₁₀) = C₅×D₄⋊C₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.62(C2xC10)	320,130
C₄².₆₃(C₂×C₁₀) = C₅×Q₈⋊C₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.63(C2xC10)	320,131
C₄².₆₄(C₂×C₁₀) = C₅×C₈⋊₂C₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.64(C2xC10)	320,139
C₄².₆₅(C₂×C₁₀) = C₅×C₈⋊₁C₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.65(C2xC10)	320,140
C₄².₆₆(C₂×C₁₀) = C₁₀×C₄⋊C₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.66(C2xC10)	320,923
C₄².₆₇(C₂×C₁₀) = C₅×C₄⋊M₄(2)	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.67(C2xC10)	320,924
C₄².₆₈(C₂×C₁₀) = D₄×C₄₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.68(C2xC10)	320,935
C₄².₆₉(C₂×C₁₀) = C₅×C₈⋊₆D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.69(C2xC10)	320,937
C₄².₇₀(C₂×C₁₀) = D₈×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.70(C2xC10)	320,938
C₄².₇₁(C₂×C₁₀) = SD₁₆×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.71(C2xC10)	320,939
C₄².₇₂(C₂×C₁₀) = Q₁₆×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.72(C2xC10)	320,940
C₄².₇₃(C₂×C₁₀) = C₅×C₈○D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	80	2	C4^2.73(C2xC10)	320,944
C₄².₇₄(C₂×C₁₀) = Q₈×C₄₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.74(C2xC10)	320,946
C₄².₇₅(C₂×C₁₀) = C₅×C₈⋊₄Q₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.75(C2xC10)	320,947
C₄².₇₆(C₂×C₁₀) = C₅×C₄.₄D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.76(C2xC10)	320,987
C₄².₇₇(C₂×C₁₀) = C₅×C₄.SD₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.77(C2xC10)	320,988
C₄².₇₈(C₂×C₁₀) = C₅×C₄².₇₈C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.78(C2xC10)	320,989
C₄².₇₉(C₂×C₁₀) = C₅×C₈⋊₅D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.79(C2xC10)	320,993
C₄².₈₀(C₂×C₁₀) = C₅×C₈⋊₄D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.80(C2xC10)	320,994
C₄².₈₁(C₂×C₁₀) = C₅×C₄⋊Q₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.81(C2xC10)	320,995
C₄².₈₂(C₂×C₁₀) = C₅×C₈.₁₂D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.82(C2xC10)	320,996
C₄².₈₃(C₂×C₁₀) = C₅×C₈⋊₃Q₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.83(C2xC10)	320,999
C₄².₈₄(C₂×C₁₀) = C₅×C₈.₅Q₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.84(C2xC10)	320,1000
C₄².₈₅(C₂×C₁₀) = C₅×C₈⋊₂Q₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.85(C2xC10)	320,1001
C₄².₈₆(C₂×C₁₀) = Q₈×C₂×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.86(C2xC10)	320,1518
C₄².₈₇(C₂×C₁₀) = C₄○D₄×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.87(C2xC10)	320,1519
C₄².₈₈(C₂×C₁₀) = C₁₀×C₄².C₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.88(C2xC10)	320,1529
C₄².₈₉(C₂×C₁₀) = C₁₀×C₄⋊Q₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.89(C2xC10)	320,1533
C₄².₉₀(C₂×C₁₀) = C₅×C₂².₂₆C₂⁴	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.90(C2xC10)	320,1534
C₄².₉₁(C₂×C₁₀) = C₅×C₈⋊C₈	central extension (φ=1)	320		C4^2.91(C2xC10)	320,127
C₄².₉₂(C₂×C₁₀) = C₅×C₄².₁₂C₄	central extension (φ=1)	160		C4^2.92(C2xC10)	320,932

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C42 and Q=C2×C10

Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂×C₁₀