Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₅₇C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₅₇C₂⁴

		d	ρ	Label	ID
C₂×C₂².₅₇C₂⁴		64		C2xC2^2.57C2^4	128,2260

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₅₇C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₅₇C₂⁴) = C₂⁴.₂₂₅C₂³	central extension (φ=1)	64	C2.1(C2^2.57C2^4)	128,1108
C₂.₂(C₂².₅₇C₂⁴) = C₂⁴.₂₂₇C₂³	central extension (φ=1)	64	C2.2(C2^2.57C2^4)	128,1110
C₂.₃(C₂².₅₇C₂⁴) = C₂³.₂₆₁C₂⁴	central extension (φ=1)	64	C2.3(C2^2.57C2^4)	128,1111
C₂.₄(C₂².₅₇C₂⁴) = C₂³.₂₆₃C₂⁴	central extension (φ=1)	128	C2.4(C2^2.57C2^4)	128,1113
C₂.₅(C₂².₅₇C₂⁴) = C₂³.₂₆₄C₂⁴	central extension (φ=1)	128	C2.5(C2^2.57C2^4)	128,1114
C₂.₆(C₂².₅₇C₂⁴) = C₂⁴.₂₃₀C₂³	central extension (φ=1)	64	C2.6(C2^2.57C2^4)	128,1115
C₂.₇(C₂².₅₇C₂⁴) = C₂³.₅₇₄C₂⁴	central stem extension (φ=1)	64	C2.7(C2^2.57C2^4)	128,1406
C₂.₈(C₂².₅₇C₂⁴) = C₂⁴.₃₈₅C₂³	central stem extension (φ=1)	64	C2.8(C2^2.57C2^4)	128,1409
C₂.₉(C₂².₅₇C₂⁴) = C₂³.₅₈₀C₂⁴	central stem extension (φ=1)	64	C2.9(C2^2.57C2^4)	128,1412
C₂.₁₀(C₂².₅₇C₂⁴) = C₂³.₅₈₃C₂⁴	central stem extension (φ=1)	64	C2.10(C2^2.57C2^4)	128,1415
C₂.₁₁(C₂².₅₇C₂⁴) = C₂³.₅₈₉C₂⁴	central stem extension (φ=1)	64	C2.11(C2^2.57C2^4)	128,1421
C₂.₁₂(C₂².₅₇C₂⁴) = C₂³.₅₉₀C₂⁴	central stem extension (φ=1)	64	C2.12(C2^2.57C2^4)	128,1422
C₂.₁₃(C₂².₅₇C₂⁴) = C₂³.₅₉₅C₂⁴	central stem extension (φ=1)	64	C2.13(C2^2.57C2^4)	128,1427
C₂.₁₄(C₂².₅₇C₂⁴) = C₂⁴.₄₀₅C₂³	central stem extension (φ=1)	64	C2.14(C2^2.57C2^4)	128,1430
C₂.₁₅(C₂².₅₇C₂⁴) = C₂³.₆₀₂C₂⁴	central stem extension (φ=1)	64	C2.15(C2^2.57C2^4)	128,1434
C₂.₁₆(C₂².₅₇C₂⁴) = C₂³.₆₀₇C₂⁴	central stem extension (φ=1)	64	C2.16(C2^2.57C2^4)	128,1439
C₂.₁₇(C₂².₅₇C₂⁴) = C₂³.₆₁₃C₂⁴	central stem extension (φ=1)	128	C2.17(C2^2.57C2^4)	128,1445
C₂.₁₈(C₂².₅₇C₂⁴) = C₂³.₆₁₅C₂⁴	central stem extension (φ=1)	64	C2.18(C2^2.57C2^4)	128,1447
C₂.₁₉(C₂².₅₇C₂⁴) = C₂³.₆₁₆C₂⁴	central stem extension (φ=1)	64	C2.19(C2^2.57C2^4)	128,1448
C₂.₂₀(C₂².₅₇C₂⁴) = C₂³.₆₁₇C₂⁴	central stem extension (φ=1)	64	C2.20(C2^2.57C2^4)	128,1449
C₂.₂₁(C₂².₅₇C₂⁴) = C₂³.₆₁₈C₂⁴	central stem extension (φ=1)	64	C2.21(C2^2.57C2^4)	128,1450
C₂.₂₂(C₂².₅₇C₂⁴) = C₂³.₆₂₀C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.57C2^4)	128,1452
C₂.₂₃(C₂².₅₇C₂⁴) = C₂³.₆₂₁C₂⁴	central stem extension (φ=1)	64	C2.23(C2^2.57C2^4)	128,1453
C₂.₂₄(C₂².₅₇C₂⁴) = C₂³.₆₂₂C₂⁴	central stem extension (φ=1)	64	C2.24(C2^2.57C2^4)	128,1454
C₂.₂₅(C₂².₅₇C₂⁴) = C₂⁴.₄₁₈C₂³	central stem extension (φ=1)	64	C2.25(C2^2.57C2^4)	128,1455
C₂.₂₆(C₂².₅₇C₂⁴) = C₂³.₆₂₄C₂⁴	central stem extension (φ=1)	64	C2.26(C2^2.57C2^4)	128,1456
C₂.₂₇(C₂².₅₇C₂⁴) = C₂³.₆₂₅C₂⁴	central stem extension (φ=1)	64	C2.27(C2^2.57C2^4)	128,1457
C₂.₂₈(C₂².₅₇C₂⁴) = C₂³.₆₂₇C₂⁴	central stem extension (φ=1)	64	C2.28(C2^2.57C2^4)	128,1459
C₂.₂₉(C₂².₅₇C₂⁴) = C₂⁴.₄₂₀C₂³	central stem extension (φ=1)	64	C2.29(C2^2.57C2^4)	128,1460
C₂.₃₀(C₂².₅₇C₂⁴) = C₂⁴.₄₂₁C₂³	central stem extension (φ=1)	64	C2.30(C2^2.57C2^4)	128,1461
C₂.₃₁(C₂².₅₇C₂⁴) = C₂³.₆₃₁C₂⁴	central stem extension (φ=1)	64	C2.31(C2^2.57C2^4)	128,1463
C₂.₃₂(C₂².₅₇C₂⁴) = C₂³.₆₃₄C₂⁴	central stem extension (φ=1)	128	C2.32(C2^2.57C2^4)	128,1466
C₂.₃₃(C₂².₅₇C₂⁴) = C₂⁴.₄₂₆C₂³	central stem extension (φ=1)	64	C2.33(C2^2.57C2^4)	128,1470
C₂.₃₄(C₂².₅₇C₂⁴) = C₂³.₆₄₅C₂⁴	central stem extension (φ=1)	64	C2.34(C2^2.57C2^4)	128,1477
C₂.₃₅(C₂².₅₇C₂⁴) = C₂³.₆₅₈C₂⁴	central stem extension (φ=1)	128	C2.35(C2^2.57C2^4)	128,1490
C₂.₃₆(C₂².₅₇C₂⁴) = C₂³.₆₅₉C₂⁴	central stem extension (φ=1)	64	C2.36(C2^2.57C2^4)	128,1491
C₂.₃₇(C₂².₅₇C₂⁴) = C₂³.₆₆₂C₂⁴	central stem extension (φ=1)	128	C2.37(C2^2.57C2^4)	128,1494
C₂.₃₈(C₂².₅₇C₂⁴) = C₂³.₆₆₄C₂⁴	central stem extension (φ=1)	64	C2.38(C2^2.57C2^4)	128,1496
C₂.₃₉(C₂².₅₇C₂⁴) = C₂⁴.₄₄₃C₂³	central stem extension (φ=1)	64	C2.39(C2^2.57C2^4)	128,1497
C₂.₄₀(C₂².₅₇C₂⁴) = C₂³.₆₆₆C₂⁴	central stem extension (φ=1)	128	C2.40(C2^2.57C2^4)	128,1498
C₂.₄₁(C₂².₅₇C₂⁴) = C₂³.₆₆₉C₂⁴	central stem extension (φ=1)	128	C2.41(C2^2.57C2^4)	128,1501
C₂.₄₂(C₂².₅₇C₂⁴) = C₂⁴.₄₄₅C₂³	central stem extension (φ=1)	64	C2.42(C2^2.57C2^4)	128,1502
C₂.₄₃(C₂².₅₇C₂⁴) = C₂³.₆₇₁C₂⁴	central stem extension (φ=1)	64	C2.43(C2^2.57C2^4)	128,1503
C₂.₄₄(C₂².₅₇C₂⁴) = C₂³.₆₇₃C₂⁴	central stem extension (φ=1)	64	C2.44(C2^2.57C2^4)	128,1505
C₂.₄₅(C₂².₅₇C₂⁴) = C₂³.₆₇₄C₂⁴	central stem extension (φ=1)	128	C2.45(C2^2.57C2^4)	128,1506
C₂.₄₆(C₂².₅₇C₂⁴) = C₂³.₆₇₅C₂⁴	central stem extension (φ=1)	64	C2.46(C2^2.57C2^4)	128,1507
C₂.₄₇(C₂².₅₇C₂⁴) = C₂³.₆₇₆C₂⁴	central stem extension (φ=1)	128	C2.47(C2^2.57C2^4)	128,1508
C₂.₄₈(C₂².₅₇C₂⁴) = C₂³.₆₇₇C₂⁴	central stem extension (φ=1)	64	C2.48(C2^2.57C2^4)	128,1509
C₂.₄₉(C₂².₅₇C₂⁴) = C₂³.₆₈₇C₂⁴	central stem extension (φ=1)	64	C2.49(C2^2.57C2^4)	128,1519
C₂.₅₀(C₂².₅₇C₂⁴) = C₂³.₆₈₉C₂⁴	central stem extension (φ=1)	128	C2.50(C2^2.57C2^4)	128,1521
C₂.₅₁(C₂².₅₇C₂⁴) = C₂³.₆₉₁C₂⁴	central stem extension (φ=1)	128	C2.51(C2^2.57C2^4)	128,1523
C₂.₅₂(C₂².₅₇C₂⁴) = C₂³.₆₉₃C₂⁴	central stem extension (φ=1)	64	C2.52(C2^2.57C2^4)	128,1525
C₂.₅₃(C₂².₅₇C₂⁴) = C₂³.₆₉₄C₂⁴	central stem extension (φ=1)	128	C2.53(C2^2.57C2^4)	128,1526
C₂.₅₄(C₂².₅₇C₂⁴) = C₂³.₆₉₉C₂⁴	central stem extension (φ=1)	128	C2.54(C2^2.57C2^4)	128,1531
C₂.₅₅(C₂².₅₇C₂⁴) = C₂³.₇₀₅C₂⁴	central stem extension (φ=1)	128	C2.55(C2^2.57C2^4)	128,1537
C₂.₅₆(C₂².₅₇C₂⁴) = C₂³.₇₀₉C₂⁴	central stem extension (φ=1)	128	C2.56(C2^2.57C2^4)	128,1541
C₂.₅₇(C₂².₅₇C₂⁴) = C₂³.₇₁₄C₂⁴	central stem extension (φ=1)	64	C2.57(C2^2.57C2^4)	128,1546
C₂.₅₈(C₂².₅₇C₂⁴) = C₂⁴.₄₆₂C₂³	central stem extension (φ=1)	64	C2.58(C2^2.57C2^4)	128,1549
C₂.₅₉(C₂².₅₇C₂⁴) = C₄².₁₉₉D₄	central stem extension (φ=1)	64	C2.59(C2^2.57C2^4)	128,1552
C₂.₆₀(C₂².₅₇C₂⁴) = C₄².₂₀₀D₄	central stem extension (φ=1)	64	C2.60(C2^2.57C2^4)	128,1553
C₂.₆₁(C₂².₅₇C₂⁴) = C₄².₂₀₁D₄	central stem extension (φ=1)	128	C2.61(C2^2.57C2^4)	128,1554
C₂.₆₂(C₂².₅₇C₂⁴) = C₄²⋊₃₅D₄	central stem extension (φ=1)	64	C2.62(C2^2.57C2^4)	128,1555
C₂.₆₃(C₂².₅₇C₂⁴) = C₂³.₇₂₇C₂⁴	central stem extension (φ=1)	64	C2.63(C2^2.57C2^4)	128,1559
C₂.₆₄(C₂².₅₇C₂⁴) = C₂³.₇₃₀C₂⁴	central stem extension (φ=1)	64	C2.64(C2^2.57C2^4)	128,1562
C₂.₆₅(C₂².₅₇C₂⁴) = C₂³.₇₃₁C₂⁴	central stem extension (φ=1)	64	C2.65(C2^2.57C2^4)	128,1563
C₂.₆₆(C₂².₅₇C₂⁴) = C₂³.₇₃₂C₂⁴	central stem extension (φ=1)	64	C2.66(C2^2.57C2^4)	128,1564
C₂.₆₇(C₂².₅₇C₂⁴) = C₂³.₇₃₃C₂⁴	central stem extension (φ=1)	128	C2.67(C2^2.57C2^4)	128,1565
C₂.₆₈(C₂².₅₇C₂⁴) = C₂³.₇₃₄C₂⁴	central stem extension (φ=1)	64	C2.68(C2^2.57C2^4)	128,1566
C₂.₆₉(C₂².₅₇C₂⁴) = C₂³.₇₃₅C₂⁴	central stem extension (φ=1)	64	C2.69(C2^2.57C2^4)	128,1567
C₂.₇₀(C₂².₅₇C₂⁴) = C₂³.₇₃₆C₂⁴	central stem extension (φ=1)	64	C2.70(C2^2.57C2^4)	128,1568
C₂.₇₁(C₂².₅₇C₂⁴) = C₂³.₇₃₇C₂⁴	central stem extension (φ=1)	64	C2.71(C2^2.57C2^4)	128,1569
C₂.₇₂(C₂².₅₇C₂⁴) = C₂³.₇₃₈C₂⁴	central stem extension (φ=1)	64	C2.72(C2^2.57C2^4)	128,1570
C₂.₇₃(C₂².₅₇C₂⁴) = C₂³.₇₃₉C₂⁴	central stem extension (φ=1)	128	C2.73(C2^2.57C2^4)	128,1571
C₂.₇₄(C₂².₅₇C₂⁴) = C₂³.₇₄₁C₂⁴	central stem extension (φ=1)	64	C2.74(C2^2.57C2^4)	128,1573
C₂.₇₅(C₂².₅₇C₂⁴) = C₄²⋊₁₂Q₈	central stem extension (φ=1)	128	C2.75(C2^2.57C2^4)	128,1575
C₂.₇₆(C₂².₅₇C₂⁴) = C₄²⋊₁₃Q₈	central stem extension (φ=1)	128	C2.76(C2^2.57C2^4)	128,1576

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.57C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₅₇C₂⁴