Extensions 1→N→G→Q→1 with N=Dic17 and Q=C4

Direct product G=N×Q with N=Dic17 and Q=C4

Semidirect products G=N:Q with N=Dic17 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic171C4 = C34.D4φ: C4/C2C2 ⊆ Out Dic17272Dic17:1C4272,12
Dic172C4 = C4×C17⋊C4φ: C4/C2C2 ⊆ Out Dic17684Dic17:2C4272,31
Dic173C4 = C68⋊C4φ: C4/C2C2 ⊆ Out Dic17684Dic17:3C4272,32

Non-split extensions G=N.Q with N=Dic17 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic17.C4 = C34.C8φ: C4/C1C4 ⊆ Out Dic172728-Dic17.C4272,28
Dic17.2C4 = C8⋊D17φ: C4/C2C2 ⊆ Out Dic171362Dic17.2C4272,5
Dic17.3C4 = C2×C172C8φ: C4/C2C2 ⊆ Out Dic17272Dic17.3C4272,33
Dic17.4C4 = C17⋊M4(2)φ: C4/C2C2 ⊆ Out Dic171364-Dic17.4C4272,34
Dic17.5C4 = C8×D17φ: trivial image1362Dic17.5C4272,4