Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C2xC7:C16 and Q=C2

Direct product G=NxQ with N=C2xC7:C16 and Q=C2
dρLabelID
C22xC7:C16448C2^2xC7:C16448,630

Semidirect products G=N:Q with N=C2xC7:C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC7:C16):1C2 = Dic28.C4φ: C2/C1 → C2 ⊆ Out C2xC7:C162244(C2xC7:C16):1C2448,54
(C2xC7:C16):2C2 = C28.58D8φ: C2/C1 → C2 ⊆ Out C2xC7:C162244(C2xC7:C16):2C2448,124
(C2xC7:C16):3C2 = C56.30C23φ: C2/C1 → C2 ⊆ Out C2xC7:C162244(C2xC7:C16):3C2448,728
(C2xC7:C16):4C2 = C14.D16φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):4C2448,48
(C2xC7:C16):5C2 = C14.SD32φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):5C2448,119
(C2xC7:C16):6C2 = C2xC7:D16φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):6C2448,680
(C2xC7:C16):7C2 = C2xD8.D7φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):7C2448,682
(C2xC7:C16):8C2 = C2xC7:SD32φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):8C2448,712
(C2xC7:C16):9C2 = D14:C16φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):9C2448,64
(C2xC7:C16):10C2 = C56.91D4φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):10C2448,106
(C2xC7:C16):11C2 = C2xC16:D7φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):11C2448,434
(C2xC7:C16):12C2 = C2xC28.C8φ: C2/C1 → C2 ⊆ Out C2xC7:C16224(C2xC7:C16):12C2448,631
(C2xC7:C16):13C2 = Dic14.C8φ: C2/C1 → C2 ⊆ Out C2xC7:C162244(C2xC7:C16):13C2448,72
(C2xC7:C16):14C2 = C56.92D4φ: C2/C1 → C2 ⊆ Out C2xC7:C162244(C2xC7:C16):14C2448,118
(C2xC7:C16):15C2 = C16.12D14φ: C2/C1 → C2 ⊆ Out C2xC7:C162244(C2xC7:C16):15C2448,441
(C2xC7:C16):16C2 = C56.70C23φ: C2/C1 → C2 ⊆ Out C2xC7:C162244(C2xC7:C16):16C2448,674
(C2xC7:C16):17C2 = D7xC2xC16φ: trivial image224(C2xC7:C16):17C2448,433

Non-split extensions G=N.Q with N=C2xC7:C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC7:C16).1C2 = C8.7Dic14φ: C2/C1 → C2 ⊆ Out C2xC7:C162244(C2xC7:C16).1C2448,50
(C2xC7:C16).2C2 = C8.4Dic14φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).2C2448,46
(C2xC7:C16).3C2 = C8.5Dic14φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).3C2448,47
(C2xC7:C16).4C2 = C56.6D4φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).4C2448,49
(C2xC7:C16).5C2 = C14.Q32φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).5C2448,121
(C2xC7:C16).6C2 = C2xC7:Q32φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).6C2448,714
(C2xC7:C16).7C2 = C56.C8φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).7C2448,18
(C2xC7:C16).8C2 = C28:C16φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).8C2448,19
(C2xC7:C16).9C2 = Dic7:C16φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).9C2448,58
(C2xC7:C16).10C2 = C112:9C4φ: C2/C1 → C2 ⊆ Out C2xC7:C16448(C2xC7:C16).10C2448,59
(C2xC7:C16).11C2 = C4xC7:C16φ: trivial image448(C2xC7:C16).11C2448,17
(C2xC7:C16).12C2 = C16xDic7φ: trivial image448(C2xC7:C16).12C2448,57

׿
x
:
Z
F
o
wr
Q
<