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

Extensions 1→N→G→Q→1 with N=C4.A4 and Q=C22

Direct product G=N×Q with N=C4.A4 and Q=C22
dρLabelID
C22×C4.A464C2^2xC4.A4192,1500

Semidirect products G=N:Q with N=C4.A4 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.A4⋊1C22 = Q8.7S4φ: C22/C1 → C22 ⊆ Out C4.A4324+C4.A4:1C2^2192,1484
C4.A4⋊2C22 = D4.4S4φ: C22/C1 → C22 ⊆ Out C4.A4164C4.A4:2C2^2192,1485
C4.A4⋊3C22 = C2×C4.3S4φ: C22/C2 → C2 ⊆ Out C4.A432C4.A4:3C2^2192,1481
C4.A4⋊4C22 = C2×C4.6S4φ: C22/C2 → C2 ⊆ Out C4.A432C4.A4:4C2^2192,1480
C4.A4⋊5C22 = GL2(𝔽3)⋊C22φ: C22/C2 → C2 ⊆ Out C4.A4324C4.A4:5C2^2192,1482
C4.A4⋊6C22 = C2×Q8.A4φ: C22/C2 → C2 ⊆ Out C4.A448C4.A4:6C2^2192,1502
C4.A4⋊7C22 = C2×D4.A4φ: C22/C2 → C2 ⊆ Out C4.A432C4.A4:7C2^2192,1503
C4.A4⋊8C22 = 2- 1+4⋊3C6φ: C22/C2 → C2 ⊆ Out C4.A4324C4.A4:8C2^2192,1504

Non-split extensions G=N.Q with N=C4.A4 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.A4.1C22 = Q8.4S4φ: C22/C1 → C22 ⊆ Out C4.A4484C4.A4.1C2^2192,987
C4.A4.2C22 = Q8.5S4φ: C22/C1 → C22 ⊆ Out C4.A4244+C4.A4.2C2^2192,988
C4.A4.3C22 = D4.S4φ: C22/C1 → C22 ⊆ Out C4.A4324-C4.A4.3C2^2192,989
C4.A4.4C22 = D4.3S4φ: C22/C1 → C22 ⊆ Out C4.A4324C4.A4.4C2^2192,990
C4.A4.5C22 = Q8.6S4φ: C22/C1 → C22 ⊆ Out C4.A4324C4.A4.5C2^2192,1483
C4.A4.6C22 = D4.5S4φ: C22/C1 → C22 ⊆ Out C4.A4324-C4.A4.6C2^2192,1486
C4.A4.7C22 = C8.S4φ: C22/C2 → C2 ⊆ Out C4.A4644-C4.A4.7C2^2192,962
C4.A4.8C22 = C8.4S4φ: C22/C2 → C2 ⊆ Out C4.A4324C4.A4.8C2^2192,965
C4.A4.9C22 = C8.3S4φ: C22/C2 → C2 ⊆ Out C4.A4324+C4.A4.9C2^2192,966
C4.A4.10C22 = C2×C4.S4φ: C22/C2 → C2 ⊆ Out C4.A464C4.A4.10C2^2192,1479
C4.A4.11C22 = CU2(𝔽3)φ: C22/C2 → C2 ⊆ Out C4.A4322C4.A4.11C2^2192,963
C4.A4.12C22 = C8.5S4φ: C22/C2 → C2 ⊆ Out C4.A4324C4.A4.12C2^2192,964
C4.A4.13C22 = C2×U2(𝔽3)φ: C22/C2 → C2 ⊆ Out C4.A448C4.A4.13C2^2192,981
C4.A4.14C22 = U2(𝔽3)⋊C2φ: C22/C2 → C2 ⊆ Out C4.A4324C4.A4.14C2^2192,982
C4.A4.15C22 = Q16.A4φ: C22/C2 → C2 ⊆ Out C4.A4484+C4.A4.15C2^2192,1017
C4.A4.16C22 = SD16.A4φ: C22/C2 → C2 ⊆ Out C4.A4324C4.A4.16C2^2192,1018
C4.A4.17C22 = D8.A4φ: C22/C2 → C2 ⊆ Out C4.A4324-C4.A4.17C2^2192,1019
C4.A4.18C22 = C2×C8.A4φ: trivial image64C4.A4.18C2^2192,1012
C4.A4.19C22 = M4(2).A4φ: trivial image324C4.A4.19C2^2192,1013

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁