Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C42.30C22 and Q=C2

Direct product G=N×Q with N=C42.30C22 and Q=C2
dρLabelID
C2×C42.30C22128C2xC4^2.30C2^2128,1866

Semidirect products G=N:Q with N=C42.30C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.30C22⋊1C2 = C42.276D4φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:1C2128,1950
C42.30C22⋊2C2 = C42.277D4φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:2C2128,1951
C42.30C22⋊3C2 = C42.407C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:3C2128,1953
C42.30C22⋊4C2 = C42.409C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:4C2128,1955
C42.30C22⋊5C2 = C42.288D4φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:5C2128,1968
C42.30C22⋊6C2 = C42.289D4φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:6C2128,1969
C42.30C22⋊7C2 = C42.424C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:7C2128,1974
C42.30C22⋊8C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:8C2128,2039
C42.30C22⋊9C2 = C42.47C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:9C2128,2044
C42.30C22⋊10C2 = C42.50C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:10C2128,2047
C42.30C22⋊11C2 = C42.55C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:11C2128,2052
C42.30C22⋊12C2 = C42.513C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:12C2128,2104
C42.30C22⋊13C2 = C42.517C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:13C2128,2108
C42.30C22⋊14C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:14C2128,2109
C42.30C22⋊15C2 = C42.8C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:15C2128,394
C42.30C22⋊16C2 = C42.10C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:16C2128,396
C42.30C22⋊17C2 = C42.367C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:17C2128,1869
C42.30C22⋊18C2 = C42.241D4φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:18C2128,1871
C42.30C22⋊19C2 = C42.244D4φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:19C2128,1874
C42.30C22⋊20C2 = C42.386C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:20C2128,1906
C42.30C22⋊21C2 = C42.389C23φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:21C2128,1909
C42.30C22⋊22C2 = C42.258D4φ: C2/C1 → C2 ⊆ Out C42.30C2264C4^2.30C2^2:22C2128,1913
C42.30C22⋊23C2 = C42.239D4φ: trivial image64C4^2.30C2^2:23C2128,1867
C42.30C22⋊24C2 = C42.256D4φ: trivial image64C4^2.30C2^2:24C2128,1904

Non-split extensions G=N.Q with N=C42.30C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.30C22.1C2 = C42.515C23φ: C2/C1 → C2 ⊆ Out C42.30C22128C4^2.30C2^2.1C2128,2106
C42.30C22.2C2 = C42.(C2×C4)φ: C2/C1 → C2 ⊆ Out C42.30C22328-C4^2.30C2^2.2C2128,88
C42.30C22.3C2 = C8⋊C4.C4φ: C2/C1 → C2 ⊆ Out C42.30C22328-C4^2.30C2^2.3C2128,145
C42.30C22.4C2 = C42.9C23φ: C2/C1 → C2 ⊆ Out C42.30C22128C4^2.30C2^2.4C2128,395

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁