# Extensions 1→N→G→Q→1 with N=C42.6C22 and Q=C2

Direct product G=N×Q with N=C42.6C22 and Q=C2
dρLabelID
C2×C42.6C2264C2xC4^2.6C2^2128,1636

Semidirect products G=N:Q with N=C42.6C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.6C221C2 = C22⋊C4.7D4φ: C2/C1C2 ⊆ Out C42.6C22324C4^2.6C2^2:1C2128,785
C42.6C222C2 = M4(2).12D4φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:2C2128,795
C42.6C223C2 = C42.14C23φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:3C2128,1773
C42.6C224C2 = C42.15C23φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:4C2128,1774
C42.6C225C2 = C42.16C23φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:5C2128,1775
C42.6C226C2 = C42.17C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:6C2128,1776
C42.6C227C2 = C42.18C23φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:7C2128,1777
C42.6C228C2 = C42.19C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:8C2128,1778
C42.6C229C2 = C42.20C23φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:9C2128,1813
C42.6C2210C2 = C42.22C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:10C2128,1815
C42.6C2211C2 = C42.23C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:11C2128,1816
C42.6C2212C2 = C4.2- 1+4φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:12C2128,1989
C42.6C2213C2 = C42.25C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:13C2128,1990
C42.6C2214C2 = C42.26C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:14C2128,1991
C42.6C2215C2 = C42.27C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:15C2128,1992
C42.6C2216C2 = C42.29C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:16C2128,1994
C42.6C2217C2 = C42.30C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:17C2128,1995
C42.6C2218C2 = C4⋊C4.96D4φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:18C2128,777
C42.6C2219C2 = C4⋊C4.97D4φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:19C2128,778
C42.6C2220C2 = M4(2).42D4φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:20C2128,598
C42.6C2221C2 = (C2×D4).Q8φ: C2/C1C2 ⊆ Out C42.6C22324C4^2.6C2^2:21C2128,600
C42.6C2222C2 = C42.428D4φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:22C2128,669
C42.6C2223C2 = C42.107D4φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:23C2128,670
C42.6C2224C2 = C42.9D4φ: C2/C1C2 ⊆ Out C42.6C22324C4^2.6C2^2:24C2128,812
C42.6C2225C2 = C42.10D4φ: C2/C1C2 ⊆ Out C42.6C22324C4^2.6C2^2:25C2128,830
C42.6C2226C2 = C42.257C23φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:26C2128,1637
C42.6C2227C2 = C42.674C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:27C2128,1638
C42.6C2228C2 = C42.261C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:28C2128,1655
C42.6C2229C2 = C42.262C23φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:29C2128,1656
C42.6C2230C2 = C42.265C23φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:30C2128,1662
C42.6C2231C2 = M4(2)⋊22D4φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2:31C2128,1665
C42.6C2232C2 = C42.307C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:32C2128,1724
C42.6C2233C2 = C42.308C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:33C2128,1725
C42.6C2234C2 = C42.309C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:34C2128,1726
C42.6C2235C2 = C42.310C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2:35C2128,1727
C42.6C2236C2 = C42.260C23φ: trivial image64C4^2.6C2^2:36C2128,1654
C42.6C2237C2 = C42.264C23φ: trivial image32C4^2.6C2^2:37C2128,1661

Non-split extensions G=N.Q with N=C42.6C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.6C22.1C2 = M4(2).13D4φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.1C2128,796
C42.6C22.2C2 = C22⋊C4.Q8φ: C2/C1C2 ⊆ Out C42.6C22324C4^2.6C2^2.2C2128,835
C42.6C22.3C2 = C42.21C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.3C2128,1814
C42.6C22.4C2 = C42.28C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.4C2128,1993
C42.6C22.5C2 = C4⋊C4.98D4φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.5C2128,779
C42.6C22.6C2 = M4(2).Q8φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.6C2128,821
C42.6C22.7C2 = M4(2).2Q8φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.7C2128,822
C42.6C22.8C2 = C23.7M4(2)φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.8C2128,55
C42.6C22.9C2 = C22⋊C4.C8φ: C2/C1C2 ⊆ Out C42.6C22324C4^2.6C2^2.9C2128,60
C42.6C22.10C2 = M4(2).3Q8φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2.10C2128,654
C42.6C22.11C2 = C42.62Q8φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2.11C2128,677
C42.6C22.12C2 = C42.28Q8φ: C2/C1C2 ⊆ Out C42.6C2232C4^2.6C2^2.12C2128,678
C42.6C22.13C2 = C42.287C23φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.13C2128,1693
C42.6C22.14C2 = M4(2)⋊9Q8φ: C2/C1C2 ⊆ Out C42.6C2264C4^2.6C2^2.14C2128,1694
C42.6C22.15C2 = C42.286C23φ: trivial image64C4^2.6C2^2.15C2128,1692

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