Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₂².D₄

Direct product G=N×Q with N=C₂ and Q=C₂×C₂².D₄

		d	ρ	Label	ID
C₂²×C₂².D₄		64		C2^2xC2^2.D4	128,2166

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₂².D₄

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂×C₂².D₄) = C₂×C₂³.₃₄D₄	central extension (φ=1)	64	C2.1(C2xC2^2.D4)	128,1011
C₂.₂(C₂×C₂².D₄) = C₂×C₂³.₈Q₈	central extension (φ=1)	64	C2.2(C2xC2^2.D4)	128,1018
C₂.₃(C₂×C₂².D₄) = C₂×C₂³.₂₃D₄	central extension (φ=1)	64	C2.3(C2xC2^2.D4)	128,1019
C₂.₄(C₂×C₂².D₄) = C₂×C₂³.₆₃C₂³	central extension (φ=1)	128	C2.4(C2xC2^2.D4)	128,1020
C₂.₅(C₂×C₂².D₄) = C₂×C₂⁴.C₂²	central extension (φ=1)	64	C2.5(C2xC2^2.D4)	128,1021
C₂.₆(C₂×C₂².D₄) = C₄×C₂².D₄	central extension (φ=1)	64	C2.6(C2xC2^2.D4)	128,1033
C₂.₇(C₂×C₂².D₄) = C₂×C₂³.₁₀D₄	central stem extension (φ=1)	64	C2.7(C2xC2^2.D4)	128,1118
C₂.₈(C₂×C₂².D₄) = C₂×C₂³.₁₁D₄	central stem extension (φ=1)	64	C2.8(C2xC2^2.D4)	128,1122
C₂.₉(C₂×C₂².D₄) = C₂×C₂³.₈₁C₂³	central stem extension (φ=1)	128	C2.9(C2xC2^2.D4)	128,1123
C₂.₁₀(C₂×C₂².D₄) = C₂×C₂³.₄Q₈	central stem extension (φ=1)	64	C2.10(C2xC2^2.D4)	128,1125
C₂.₁₁(C₂×C₂².D₄) = C₂×C₂³.₈₃C₂³	central stem extension (φ=1)	128	C2.11(C2xC2^2.D4)	128,1126
C₂.₁₂(C₂×C₂².D₄) = C₂³.₂₉₅C₂⁴	central stem extension (φ=1)	64	C2.12(C2xC2^2.D4)	128,1127
C₂.₁₃(C₂×C₂².D₄) = C₂⁴.₉₄D₄	central stem extension (φ=1)	32	C2.13(C2xC2^2.D4)	128,1137
C₂.₁₄(C₂×C₂².D₄) = C₂⁴.₉₅D₄	central stem extension (φ=1)	32	C2.14(C2xC2^2.D4)	128,1144
C₂.₁₅(C₂×C₂².D₄) = C₂³.₃₁₈C₂⁴	central stem extension (φ=1)	32	C2.15(C2xC2^2.D4)	128,1150
C₂.₁₆(C₂×C₂².D₄) = C₂⁴.₅₆₃C₂³	central stem extension (φ=1)	64	C2.16(C2xC2^2.D4)	128,1151
C₂.₁₇(C₂×C₂².D₄) = C₂⁴.₂₅₄C₂³	central stem extension (φ=1)	64	C2.17(C2xC2^2.D4)	128,1152
C₂.₁₈(C₂×C₂².D₄) = C₂³.₃₂₁C₂⁴	central stem extension (φ=1)	64	C2.18(C2xC2^2.D4)	128,1153
C₂.₁₉(C₂×C₂².D₄) = C₂³.₃₂₂C₂⁴	central stem extension (φ=1)	64	C2.19(C2xC2^2.D4)	128,1154
C₂.₂₀(C₂×C₂².D₄) = C₂³.₃₂₃C₂⁴	central stem extension (φ=1)	64	C2.20(C2xC2^2.D4)	128,1155
C₂.₂₁(C₂×C₂².D₄) = C₂⁴.₂₆₉C₂³	central stem extension (φ=1)	64	C2.21(C2xC2^2.D4)	128,1175
C₂.₂₂(C₂×C₂².D₄) = C₂³.₃₄₄C₂⁴	central stem extension (φ=1)	64	C2.22(C2xC2^2.D4)	128,1176
C₂.₂₃(C₂×C₂².D₄) = C₂³.₃₄₅C₂⁴	central stem extension (φ=1)	64	C2.23(C2xC2^2.D4)	128,1177
C₂.₂₄(C₂×C₂².D₄) = C₂³.₃₄₆C₂⁴	central stem extension (φ=1)	128	C2.24(C2xC2^2.D4)	128,1178
C₂.₂₅(C₂×C₂².D₄) = C₂⁴.₂₇₁C₂³	central stem extension (φ=1)	64	C2.25(C2xC2^2.D4)	128,1179
C₂.₂₆(C₂×C₂².D₄) = C₂³.₃₄₈C₂⁴	central stem extension (φ=1)	64	C2.26(C2xC2^2.D4)	128,1180
C₂.₂₇(C₂×C₂².D₄) = C₂³.₃₈₂C₂⁴	central stem extension (φ=1)	32	C2.27(C2xC2^2.D4)	128,1214
C₂.₂₈(C₂×C₂².D₄) = C₂⁴.₉₆D₄	central stem extension (φ=1)	32	C2.28(C2xC2^2.D4)	128,1215
C₂.₂₉(C₂×C₂².D₄) = C₂⁴.₅₇₆C₂³	central stem extension (φ=1)	64	C2.29(C2xC2^2.D4)	128,1216
C₂.₃₀(C₂×C₂².D₄) = C₂³.₃₈₅C₂⁴	central stem extension (φ=1)	64	C2.30(C2xC2^2.D4)	128,1217
C₂.₃₁(C₂×C₂².D₄) = C₂⁴.₂₉₉C₂³	central stem extension (φ=1)	64	C2.31(C2xC2^2.D4)	128,1218
C₂.₃₂(C₂×C₂².D₄) = C₂⁴.₃₀₀C₂³	central stem extension (φ=1)	64	C2.32(C2xC2^2.D4)	128,1219
C₂.₃₃(C₂×C₂².D₄) = C₂³.₃₉₈C₂⁴	central stem extension (φ=1)	64	C2.33(C2xC2^2.D4)	128,1230
C₂.₃₄(C₂×C₂².D₄) = C₂⁴.₃₀₈C₂³	central stem extension (φ=1)	64	C2.34(C2xC2^2.D4)	128,1231
C₂.₃₅(C₂×C₂².D₄) = C₂³.₄₀₀C₂⁴	central stem extension (φ=1)	64	C2.35(C2xC2^2.D4)	128,1232
C₂.₃₆(C₂×C₂².D₄) = C₂³.₄₀₁C₂⁴	central stem extension (φ=1)	64	C2.36(C2xC2^2.D4)	128,1233
C₂.₃₇(C₂×C₂².D₄) = C₂³.₄₀₂C₂⁴	central stem extension (φ=1)	64	C2.37(C2xC2^2.D4)	128,1234
C₂.₃₈(C₂×C₂².D₄) = C₂⁴.₅₇₉C₂³	central stem extension (φ=1)	64	C2.38(C2xC2^2.D4)	128,1235
C₂.₃₉(C₂×C₂².D₄) = C₂³.₄₀₄C₂⁴	central stem extension (φ=1)	64	C2.39(C2xC2^2.D4)	128,1236
C₂.₄₀(C₂×C₂².D₄) = C₂⁴.₉₇D₄	central stem extension (φ=1)	32	C2.40(C2xC2^2.D4)	128,1354
C₂.₄₁(C₂×C₂².D₄) = C₂⁴.₅₈₉C₂³	central stem extension (φ=1)	64	C2.41(C2xC2^2.D4)	128,1355
C₂.₄₂(C₂×C₂².D₄) = C₂³.₅₂₄C₂⁴	central stem extension (φ=1)	64	C2.42(C2xC2^2.D4)	128,1356
C₂.₄₃(C₂×C₂².D₄) = C₂³.₅₂₅C₂⁴	central stem extension (φ=1)	64	C2.43(C2xC2^2.D4)	128,1357
C₂.₄₄(C₂×C₂².D₄) = C₂⁴.₁₆₆D₄	central stem extension (φ=1)	32	C2.44(C2xC2^2.D4)	128,1581
C₂.₄₅(C₂×C₂².D₄) = C₂³.₇₅₃C₂⁴	central stem extension (φ=1)	64	C2.45(C2xC2^2.D4)	128,1585
C₂.₄₆(C₂×C₂².D₄) = C₂⁴.₅₉₈C₂³	central stem extension (φ=1)	64	C2.46(C2xC2^2.D4)	128,1586
C₂.₄₇(C₂×C₂².D₄) = C₂⁴.₅₉₉C₂³	central stem extension (φ=1)	64	C2.47(C2xC2^2.D4)	128,1587
C₂.₄₈(C₂×C₂².D₄) = C₂×C₂².D₈	central stem extension (φ=1)	64	C2.48(C2xC2^2.D4)	128,1817
C₂.₄₉(C₂×C₂².D₄) = C₂×C₂³.₄₇D₄	central stem extension (φ=1)	64	C2.49(C2xC2^2.D4)	128,1818
C₂.₅₀(C₂×C₂².D₄) = C₂×C₂³.₁₉D₄	central stem extension (φ=1)	64	C2.50(C2xC2^2.D4)	128,1819
C₂.₅₁(C₂×C₂².D₄) = C₂×C₂³.₂₀D₄	central stem extension (φ=1)	64	C2.51(C2xC2^2.D4)	128,1820
C₂.₅₂(C₂×C₂².D₄) = C₂×C₂³.₄₆D₄	central stem extension (φ=1)	64	C2.52(C2xC2^2.D4)	128,1821
C₂.₅₃(C₂×C₂².D₄) = C₂×C₂³.₄₈D₄	central stem extension (φ=1)	64	C2.53(C2xC2^2.D4)	128,1822
C₂.₅₄(C₂×C₂².D₄) = C₂⁴.₁₁₅D₄	central stem extension (φ=1)	32	C2.54(C2xC2^2.D4)	128,1823
C₂.₅₅(C₂×C₂².D₄) = C₂⁴.₁₈₃D₄	central stem extension (φ=1)	32	C2.55(C2xC2^2.D4)	128,1824
C₂.₅₆(C₂×C₂².D₄) = C₂⁴.₁₁₆D₄	central stem extension (φ=1)	32	C2.56(C2xC2^2.D4)	128,1825
C₂.₅₇(C₂×C₂².D₄) = C₂⁴.₁₁₇D₄	central stem extension (φ=1)	32	C2.57(C2xC2^2.D4)	128,1826
C₂.₅₈(C₂×C₂².D₄) = C₂⁴.₁₁₈D₄	central stem extension (φ=1)	32	C2.58(C2xC2^2.D4)	128,1827
C₂.₅₉(C₂×C₂².D₄) = (C₂×D₄).₃₀₁D₄	central stem extension (φ=1)	32	C2.59(C2xC2^2.D4)	128,1828
C₂.₆₀(C₂×C₂².D₄) = (C₂×D₄).₃₀₂D₄	central stem extension (φ=1)	64	C2.60(C2xC2^2.D4)	128,1829
C₂.₆₁(C₂×C₂².D₄) = (C₂×D₄).₃₀₃D₄	central stem extension (φ=1)	64	C2.61(C2xC2^2.D4)	128,1830
C₂.₆₂(C₂×C₂².D₄) = (C₂×D₄).₃₀₄D₄	central stem extension (φ=1)	64	C2.62(C2xC2^2.D4)	128,1831

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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C22.D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₂².D₄