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

Extensions 1→N→G→Q→1 with N=C8 and Q=C42

Direct product G=N×Q with N=C8 and Q=C42
dρLabelID
C42×C8128C4^2xC8128,456

Semidirect products G=N:Q with N=C8 and Q=C42
extensionφ:Q→Aut NdρLabelID
C8⋊C42 = C8⋊C42φ: C42/C22 → C22 ⊆ Aut C8128C8:C4^2128,508
C8⋊2C42 = C4×C2.D8φ: C42/C2×C4 → C2 ⊆ Aut C8128C8:2C4^2128,507
C8⋊3C42 = C4×C4.Q8φ: C42/C2×C4 → C2 ⊆ Aut C8128C8:3C4^2128,506
C8⋊4C42 = C4×C8⋊C4φ: C42/C2×C4 → C2 ⊆ Aut C8128C8:4C4^2128,457

Non-split extensions G=N.Q with N=C8 and Q=C42
extensionφ:Q→Aut NdρLabelID
C8.1C42 = C8.C42φ: C42/C22 → C22 ⊆ Aut C832C8.1C4^2128,118
C8.2C42 = C8.2C42φ: C42/C22 → C22 ⊆ Aut C864C8.2C4^2128,119
C8.3C42 = M5(2).C4φ: C42/C22 → C22 ⊆ Aut C8324C8.3C4^2128,120
C8.4C42 = C8.4C42φ: C42/C22 → C22 ⊆ Aut C8324C8.4C4^2128,121
C8.5C42 = C8.5C42φ: C42/C22 → C22 ⊆ Aut C832C8.5C4^2128,505
C8.6C42 = C8.6C42φ: C42/C22 → C22 ⊆ Aut C864C8.6C4^2128,510
C8.7C42 = C8.7C42φ: C42/C2×C4 → C2 ⊆ Aut C8128C8.7C4^2128,112
C8.8C42 = C8.8C42φ: C42/C2×C4 → C2 ⊆ Aut C864C8.8C4^2128,113
C8.9C42 = C8.9C42φ: C42/C2×C4 → C2 ⊆ Aut C864C8.9C4^2128,114
C8.10C42 = C4×C8.C4φ: C42/C2×C4 → C2 ⊆ Aut C864C8.10C4^2128,509
C8.11C42 = C8.11C42φ: C42/C2×C4 → C2 ⊆ Aut C832C8.11C4^2128,115
C8.12C42 = C23.9D8φ: C42/C2×C4 → C2 ⊆ Aut C8324C8.12C4^2128,116
C8.13C42 = C8.13C42φ: C42/C2×C4 → C2 ⊆ Aut C8324C8.13C4^2128,117
C8.14C42 = C8.14C42φ: C42/C2×C4 → C2 ⊆ Aut C832C8.14C4^2128,504
C8.15C42 = C2.C43φ: C42/C2×C4 → C2 ⊆ Aut C8128C8.15C4^2128,458
C8.16C42 = C8.16C42φ: C42/C2×C4 → C2 ⊆ Aut C8324C8.16C4^2128,479
C8.17C42 = C4×M5(2)φ: C42/C2×C4 → C2 ⊆ Aut C864C8.17C4^2128,839
C8.18C42 = C16○2M5(2)φ: C42/C2×C4 → C2 ⊆ Aut C864C8.18C4^2128,840
C8.19C42 = C2×C16⋊C4φ: C42/C2×C4 → C2 ⊆ Aut C832C8.19C4^2128,841
C8.20C42 = C32⋊5C4central extension (φ=1)128C8.20C4^2128,129
C8.21C42 = C32⋊C4central extension (φ=1)324C8.21C4^2128,130
C8.22C42 = C2×C16⋊5C4central extension (φ=1)128C8.22C4^2128,838
C8.23C42 = C8.23C42central extension (φ=1)324C8.23C4^2128,842

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁